diff --git "a/data/dm_maths/full_data_2/2268_11255.jsonl" "b/data/dm_maths/full_data_2/2268_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2268_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Convert -362 (base 8) to base 7.\nAnswer: -464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 + 13*g. Determine i(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**6\/20 - v**5\/60 - 9*v**4\/8 + 47*v**2. Find the second derivative of d(q) wrt q.\nAnswer: 36*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1307709 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*k**2 + 8*k**5 - 10*k**2 - 6*k**5 wrt k.\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1116, 5, -5.\nAnswer: -1116, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -4\/3, 0.27 in ascending order.\nAnswer: -4\/3, 0.27, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tspprrtsppsyrppppppt. What is prob of picking 1 r and 2 s?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001280918547 rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/(-87))\/((-344)\/(-48)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67 and 2680?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-22))\/(-1) + (85 - 84)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h. Let c(n) = 2187*n - 116. Determine s(c(r)).\nAnswer: 4374*r - 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhhhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ml when two letters picked without replacement from omml?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13264 and 72?\nAnswer: 119376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133724*l**3 + 133727*l**3 - 267447*l**3 + 32*l - 32*l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.419285095 rounded to three dps?\nAnswer: -13.419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 7. Let w(x) = -x - x + 7 + 11. Let d(o) = -12*c(o) - 5*w(o). Let v be (-9)\/2 - 13\/26. Give d(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2862\/(-15))\/((-4)\/(-60)). Let a = y + 4777. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/13 + 2880\/130. Let r = 50 - u. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191629283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200101 (base 3) to base 10.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o + 2*o - 28 = 32 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 3:49 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-240)\/(-32)*(-18032)\/2940?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551 - 471 = -100*w + 27*w for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 10 = 5*t, 60*a = 58*a - 5*t - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*v = 0. Suppose -3*u = -v*u - 9. Solve 4*a + u*n = -35, 4*a - n + 5 = -10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*a + 2*a**2 + 2*a**3 + 49*a + 3 + 2*a - 37*a to the form k*a**3 + q*a + d + m*a**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17657411?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 9908?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1857826 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 smaller than 389106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81761\/46290 + -3\/7715. Suppose -3*h - 5*d = -370, -2*h + 86 + 154 = 5*d. Let c = -1005\/8 + h. Find the common denominator of c and o.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.8 - -8. Let u = m - -0.9. What is the closest to 0.1 in -5, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 2*m + 1)*(2*m - 2*m - m + (9 - 2 + 4)*(2*m - 2*m - m)) to the form r + v*m**2 + u*m and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2\/5 + 123024*x\/5 + 49208 = 0 for x.\nAnswer: -61510, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25956.45 litres in millilitres?\nAnswer: 25956450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 <= 91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5141, 5\/3, 4298.1?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -114697395 divided by -9?\nAnswer: 12744155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -828\/7 + 118. Which is bigger: n or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1273900 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 113*k**2 + 3*k + 2. Calculate t(-1).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10561 + 10558.622. Round k to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/8 - (-15)\/(-36). Suppose -2*d + 4*j = -8, 5*d + j = 3*j + 20. Let o = -7 + 9. Which is the nearest to o? (a) d (b) r (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*4\/(-2*2)*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -194*y**4 - 158*y - 182879?\nAnswer: -776*y**3 - 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/2)*o)**(5\/2))**(-2\/5) assuming o is positive.\nAnswer: 1\/sqrt(o)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*v**3 - v**3 - v**3)*(-2735*v + 6574*v - 10204*v) as u + l*v**3 + t*v**4 + y*v + a*v**2 and give t.\nAnswer: -19095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d. Let h(w) = 10*w - 1952*w - 10 + 373*w + 10. What is h(s(f))?\nAnswer: -3138*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 3*g + 4522, 4*g + 58 = 34. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -110*z**4 - 86827*z + 80433321?\nAnswer: -440*z**3 - 86827","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 9, -2580, -42, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-256 - -266)*((-16)\/(-30))\/4.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-32))\/(39\/(-24)). Let d = -0.32 + 0.02. What is the second smallest value in d, f, -2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 0 + 1\/12*i**4 - 5\/12*i**3 - 1\/15*i**6 + 1\/10*i**5 + 1\/2*i**2 + 3*i + 1\/84*i**7. Factor h(x).\nAnswer: (x - 2)*(x - 1)**3*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -871\/11 - -79. Let x = -983 - -998. Let f = -15 - -17. What is the nearest to x in f, m, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285561775?\nAnswer: 5, 11422471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 7) to base 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*y + 12, y = 2*q + 4*y. Let m be 4\/(40\/(-18)) - q\/15. Is m greater than 7\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*v, -4*v = -o - 63 - 14. Let k be 3\/((-60)\/(-16))*-10. Is 21 a factor of (o\/(-2))\/((-3)\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28463020 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 u(o) = -8*o**3 + 407*o**2 - 3521*o + 2. Determine u(11).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-35642)\/(-251)*1*(0 - -1). Calculate the highest common divisor of 1207 and m.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 17*f**2 - 119*f - 51. Calculate q(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 579, 2327, 5247, 9345, 14627, 21099, 28767?\nAnswer: 37637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m + 7 + 31*m - 8 + 14*m as i + d*m and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 995*o - 998*o - 26 = 0, 54 = 11*j - 5*o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {c: 2, h: 4, f: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/120*2\/(-20) + (-16 - 1176670\/(-73128))?\nAnswer: 2\/277","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -760840*l**4 + 12828960*l?\nAnswer: -9130080*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.5256 to one decimal place.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 0, 536?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/19 (b) -1\/7 (c) -16 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-32))\/(30\/(-80)). What is the nearest to q in 2\/3, 4, -535?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411874.\nAnswer: 2, 205937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, b: 2}. Give prob of picking 3 e and 1 b.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from eftvyfjeyeyjty.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y - 23. Let a be f(-7). Suppose 3*t - 4*t = a*d - 118, -5*t + 620 = -5*d. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14877.\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-278)\/28*(-70548)\/3951. Let x = -5\/1317 - u. Let k = 177 + x. Sort 3, 0.3, -0.5, k in descending order.\nAnswer: 3, 0.3, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1315 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 8*l**2 - 27*l + 236. Give z(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z + 5*t + 58 = 0, 4*t = -5*z + 72. Calculate the least common multiple of -1 + z + -3 + 2 and -2*(3 - 11)\/1.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 837*t - 841*t = -4*x - 92, -t = 3*x + 65 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -14.863 and -24841.05.\nAnswer: -24855.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 180.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 7*q**2 + 11*q - 2. Let u be d(5). Suppose -p - 4*p = 20, 2*c = -u*p + 12. Solve 3*k = 3*j + 2*j, 0 = 4*j - c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -32. Put s, 3, -1 in decreasing order.\nAnswer: 3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbknkdnbk. What is prob of picking 1 n and 1 d?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 4*o**2 - 16*o + 9. What is the units digit of g(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 10241504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 151*g + 149*g - 181546, -9 = 3*g. List the prime factors of c.\nAnswer: 5, 29, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112338 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3437174?\nAnswer: 2, 13, 132199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 13\/4. Let r = -2 - -2. What is the closest to -0.1 in j, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 135, 375, 725, 1185, 1755, 2435, 3225?\n\"Answer: 55*l**2 + 75*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4884)\/(-148))\/(((-27)\/3)\/(-3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**15\/u)\/(u*(u*u**(-10\/7)*u*u)\/u))**(22\/7) assuming u is positive.\nAnswer: u**(1914\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 72\/5 of a meter?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 342.590836 rounded to the nearest ten?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 9:26 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55 - 44*q - 30*q - 53)*(0*q**3 + q**4 + 0*q**3).\nAnswer: -74*q**5 + 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117 - -292. What is the remainder when u is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -51*p - 189. Calculate the remainder when f(-15) is divided by 53.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 99 = -3*a + 25*a. Solve -z = -q + 3, 3*z + a*q = -z + 23 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -z + 4*v, -10 + 352 = 3*z - 4*v. What is the highest common factor of 59 and z?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + o - 1. Let b(y) = 13*y**2 - 5*y + 5. Suppose 0 = -96*w - 69 - 891. Give w*v(h) - 2*b(h).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61 and 10187.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*c + b, 2*b - 32 + 2 = -5*c. Let y(v) be the third derivative of -1\/30*v**5 + 0 + 0*v**c + 1\/3*v**3 + v**2 + 0*v. Factor y(s).\nAnswer: -2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1200\/4151 + -2\/593. Let l = -9211.9878 - -9215. Let d = l - 0.0122. Which is the nearest to u? (a) -2 (b) 2\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0379131 to 3 decimal places.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/173600 and -107\/88?\nAnswer: 1909600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 7*b + 4. Let l be m(7). Suppose 2*g = 2*p - 16, -l*p = -3*p - 2. Let r(i) = 1. Let f(o) = o + 2. Let a(d) = f(d) - 3*r(d). What is a(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 817356 divided by 54.\nAnswer: 136226\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a century in years?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53320 + -1015?\nAnswer: -54335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (23\/((-1035)\/30))\/((-2)\/426021) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84.084 + 84. Let q = w + 0. Let t = q - -0.135. What is t rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 58*d**2 - 160*d**2 - 8*d + 54*d**2 + 49*d**2 + 8. Suppose -7*s = -10*s + 18. Give k(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*z - 25 = 0, -5*b + 5*z + 30 = 2*z. Let n(w) be the first derivative of 2\/3*w**3 + 4*w + 3 + b*w**2. Factor n(y).\nAnswer: 2*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -129 (b) -0.2 (c) -1\/21 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**4\/12 + v**3 + 4*v**2 + v. Suppose -54 = 17*g + 48. Let x be l(g). Calculate the greatest common divisor of x and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/16 - (24140\/(-136) + 40)?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 8*u - 16 = 0. Let b be 2\/u - 27\/(-6). Let -1\/3*d**3 + 1\/3*d**b + 0 + 1\/3*d - 1\/3*d**2 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*b - b - 11*b + 54 - 139 as o*b + s and give s.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**7\/70 - 3*z**6\/20 + 13*z**5\/20 - 3*z**4\/2 + 2*z**3 + 41*z**2. Factor f(t).\nAnswer: 3*(t - 2)**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 389358553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*f**2 + 37*f**2 - 118*f**2 + 50*f**2.\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 63 (b) 0.5 (c) -1 (d) 0 (e) 2\/201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/5023 + -421906\/65299. Let v be 186\/(-30) - 2\/(-10). Is v at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j**2 - 72*j - 2. Let u(h) = -17*h. Determine p(u(t)).\nAnswer: 2023*t**2 + 1224*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 5, 1\/7, 4\/9, 6407.03 in ascending order.\nAnswer: -19, 1\/7, 4\/9, 5, 6407.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - j + 0 = -1, 2*o = 3*j - 14. Let q = -6 - -10. What is the smallest value in o, -2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + 7. Let r be (24\/o)\/((-2)\/(-9)). Suppose 4*k - 3*l = 10, -3*k + r*l - l + 2 = 0. Let s(y) = 2*y - 3. Calculate s(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6184 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 - 83. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 61\/120 + 30\/(-60). Let h(b) be the third derivative of -4*b**2 + i*b**6 + b**3 + 0*b + 0 + 1\/12*b**5 + 7\/24*b**4. What is h(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26.4 - 26. Let v = -3.03 + 0.03. Which is the third smallest value? (a) n (b) v (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 11:54 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 12973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2454.318 years to millennia.\nAnswer: 2.454318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -316 + 329 + 1 + -23\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -383 = -18*r + 481. What is the greatest common divisor of 64 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10*((-180)\/14 - (-156)\/182)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (31397\/2)\/(3\/(-5832)). Let d = r + 47918936. Let w = d - 10101052. What is w rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*w = -68*w + 358*w - 8492 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 747791 or 747779?\nAnswer: 747779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 632*j - 204. Let g(v) = 316*v - 82. What is 5*g(a) - 2*l(a)?\nAnswer: 316*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-9))\/((-5)\/105) - -35. What is the highest common divisor of 462 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 + 0.2. Let r = j - -3. Let d = -1\/87 + -79\/696. Which is the second smallest value? (a) r (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 703135\/(-4)*10\/(-625)*-5. Let r = k + 14074. What is the common denominator of r and 67\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -4 (b) 35 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 4)*(-1 + 0 + 0)*(d + 3*d - 3*d) as k*d + q and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -168*b + 111. Let x(j) = 9*j + 2. Let h(f) = c(f) + 5*x(f). Differentiate h(l) wrt l.\nAnswer: -123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73960292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 10*c - 82. Let x be o(12). Suppose 4*j - 20 = 0, 4*p + 5*j - 16 = 21. Suppose -x = -p*f + 10. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -377024 + 554621. Let r(h) = 3*h**2 + x - 177597. Let f(c) = 3*c**2. What is r(f(n))?\nAnswer: 27*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83837*u**2 - 251519*u**2 + 83839*u**2 + 83842*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*l**4 + 5931*l**3 - 97490*l**2 wrt l?\nAnswer: 120*l + 35586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -f + 10, -3*f + 2*y + 27 = 17. Factor 4*k**3 - 2*k**3 - 13*k**2 - 17*k**f + 28*k**2.\nAnswer: 2*k**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**5\/60 - 7*k**4\/24 + k**3\/2 - 3*k**2. Determine y(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 - 269*u**2 - 406*u - 297. Determine w(136).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tktt when four letters picked without replacement from {k: 4, t: 10}?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) -1 (c) 5\/4 (d) -4 (e) -1301.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88*(-17)\/187 + 1\/((-51)\/(-396))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/385)\/((-684)\/(-570)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -312 (base 5) to base 14.\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l, 7*l - 3*l = -3*c. Suppose c*p - 3*p = -18. Let x = p + 18. Calculate the remainder when x is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12098319929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + ((sqrt(170) + -4*(sqrt(170) + 2*sqrt(170)))\/sqrt(10))**2.\nAnswer: 2054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 1791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6935)\/73 - -106 - (-92)\/(-6).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3756619 divided by -1?\nAnswer: 3756619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -17*p**2 - p - 1. Let x be j(-1). Let u(s) = 2*s**2 - 33. Let q be u(x). Round q to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + 21 + 1 + -47\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 6*k**2 + 3*k - 4. Let i be p(6). Let f be 6\/16*i\/21. Find j such that 1\/4*j**2 + 0 - f*j = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 133133481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -51 + 13 + 12 + 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38441.\nAnswer: 13, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18751686 and 630566?\nAnswer: 6122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((3*sqrt(11) + -4)**2 + (sqrt(1584))**2).\nAnswer: -8495 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 261241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/6)\/(k*k\/k**(-10\/9)*k)*(k\/(k\/(k*k*(k**(5\/3)*k*k)\/k))*k)**48 assuming k is positive.\nAnswer: k**(4825\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 19*l**2 + 15*l**2)*(0*l + 0*l + 2*l**2) + 3*l**4 + 5*l - 5*l.\nAnswer: 73*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -3*h**5\/20 - 341*h**4\/12 - 679*h**3\/18 - 113*h**2\/6 + 518*h - 5. Let o(p) = 0. What is p?\nAnswer: -113, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 45 = 2*a, u - 2*a - 29 = 16. Suppose 2 = 5*o - 3. Let z be (2\/2)\/(o\/45). Do u and z have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 16 - 8. Solve 5*z = 3*z + j for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -406794?\nAnswer: 406799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44237502?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 47421 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83 + -47. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18158 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -1186.\nAnswer: 118.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 = -0. Let c be g\/(-9) - 328\/(-18). Let u be (1 - (-5 + 3))*342\/54. Is u != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.343 + 0.057. Which is the biggest value? (a) m (b) 4 (c) 0.1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 6*l**2 - 4. Let y be k(-2). Let v = y - 20. Suppose -12*s + 30 + 342 = v. Calculate the greatest common factor of s and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37\/41 at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -328b74 (base 13) in base 5?\nAnswer: -301044111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1494 (b) -3\/11 (c) 0 (d) 12 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/(-15))\/(-10*3\/(-150)). Let x(m) = 9*m**3 - 6*m**2 + 6*m - 6. Let f(q) = 8*q**3 - 5*q**2 + 5*q - 5. Let o(u) = -7*f(u) + 6*x(u). Give o(k).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4803.\nAnswer: 3, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8074 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84278 is divided by 20991.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 76*r**2 + 475*r + 1426. What is the remainder when h(-3) is divided by 406?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-64)\/14 + 2)*-7. Let a(r) = 3*r + 33. Let l be a(-8). Calculate the highest common factor of l and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1042581835 and 8.\nAnswer: -1042581827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16650 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Let t = f + 3. Let z(v) = -v - t + 2*v + 3. Calculate z(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 < 6.160618?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -77 - -215b?\nAnswer: 20a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 26 = 7*w, 3*w = -363*d + 361*d + 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34548 - -70599. List the prime factors of y.\nAnswer: 3, 61, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 624, 1267, 1792, 1983?\nAnswer: 1624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.31655004 to four decimal places.\nAnswer: 0.3166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 31, 61, 99, 151, 223?\n\"Answer: d**3 - 2*d**2 + 29*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4817, -9657, -14499, -19343, -24189?\nAnswer: -29037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l + 8*l + 29*l - 45*l + l. Let n(v) be the first derivative of -5*v**2 - 4. What is n(d(j))?\nAnswer: 50*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7463 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110.167 + 110. Let p = -0.34 - l. Round p to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101110011000111110010 (base 2) in base 9?\nAnswer: 2766175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1019 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*i + 2096 = -35*i. Calculate the lowest common multiple of 14 and i.\nAnswer: 3668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 166*p + 166*p.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -21 - 27) + 2 + 11 + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4028 is divided by 155?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*b**3 - 1\/3*b + 1\/6*b**2 + 0.\nAnswer: b*(b - 1)*(b + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l - 4. Let x be n(3). Let t be (14*-1)\/(x\/(-70)). Let h = t - 133. Calculate the highest common divisor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*i - 20. Let k(b) = 10 - 2*b - 4 - 27*b - 8*b. Is k(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-143)\/(-5) + 4\/10?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**4\/4 - 4*t**3\/3 - 3*t**2\/2 + 3*t + 3. Let x be f(-3). Solve x*c = -13 - 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1.2 (c) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 11*u + 8. Let x(h) = -h + 4*h + 838 + 837 - 1675. Determine k(x(d)).\nAnswer: 33*d + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -217f (base 16) to base 7\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 + 88*d**2 - 4*d**2.\nAnswer: 88*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 23 - 56 = -2*m, 2*m - j = 73. Suppose -3*a + 5*f = -m, -a + 0*a + 22 = 3*f. Calculate the greatest common factor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -10. Let f be (-184)\/(-44) + c\/22. Let l be (2 + -1)\/(1\/(-3)). Sort f, 1, l.\nAnswer: l, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2. Let p(g) = 13 - 6*g + 4*g**2 + 6*g. Let a(m) = -2*m**2 + 3*m**2 - 3*m**2 - 6. Let w(c) = 13*a(c) + 6*p(c). Calculate w(b(y)).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 11) to base 13\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + 1*5*(sqrt(637) + sqrt(637) + sqrt(637) + 0 + sqrt(637) + sqrt(637) + sqrt(637)) + sqrt(637) + (sqrt(637)*2 - sqrt(637)) + 3 + 2 + 5)**2.\nAnswer: 5824*sqrt(13) + 652453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z - 5*z - 3*z + 5*z - 2*z + 5*z + 3*z + 5*z - 4*z + (2 - 2 + 1)*(z + 0 + 0) to o + b*z and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 62*x**2 + 5 - x**3 + 3*x - 63*x**2 - 8. Determine h(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.8 - 14.8. Let s = 4.2 + -4.2. Which is the closest to s? (a) q (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 15 = -0*y, -40 = 2*g - 4*y. Let p be ((-16)\/(-18))\/(g - -9). Let x(m) = m + 9. Let u be x(-9). Do u and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*(-6)\/33?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8750.48 milligrams to kilograms.\nAnswer: 0.00875048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*z, 3*z - 62 = -3*y - 14. Let d = 179 - 178. Solve 4*f + y = -d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 45111*h - 270696. Give s(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j + 310 - 370 = 0. Let i(r) be the first derivative of 0*r**2 + 0*r - 8 - 1\/6*r**j. Factor i(h).\nAnswer: -h**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-136)\/561*(-6)\/8. Let p = -88\/5 - -606\/35. What is the second smallest value in p, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h. Let f be k(-1). Let y(q) be the first derivative of -q**3\/3 - 5*q**2\/2 - 3*q - 32. Give y(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.9999862 + 20. Round o to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 924 and 84?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 0*l**3 - 4 - 3*l**3)*(-5 + 4 + 2) in the form j*l**3 + s + z*l + b*l**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(((-10)\/8)\/(450\/150))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -245571625\/396 - -620130. What is the common denominator of f and 83\/12?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3776 (b) -0.2 (c) -0.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qg when two letters picked without replacement from gggqllggggggggglg?\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*i - 114 + 2530 = -4*i for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*n = -18, -3*t + 5*n = t. Suppose -3*p = -t*h - 29, 4*p + 0*p = 4*h + 44. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/2223 + -211199\/15561. Let y = 781\/56 + h. Which is the closest to 0? (a) -2\/5 (b) 4 (c) -1\/4 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1423 is divided by 6 + -10 + 4037\/11?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -527, -2188, -4923, -8732, -13615, -19572, -26603?\nAnswer: -34708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -2323\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -513 - -eb?\nAnswer: -428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.6 times 0.2?\nAnswer: -20.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21978092 less than or equal to 21978091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 963 and 1404?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3339916596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -323*q*u**3 + 2*q*u - 730*q wrt u.\nAnswer: -969*q*u**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 384640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -11876.2287164?\nAnswer: -11872.2287164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p + 4. Let h(x) = x - 3*x + 80 - 75. Let m(r) = 5*h(r) - 6*v(r). Suppose 11*g + 25*g - 296 = -g. What is m(g)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6303328 and 0.4?\nAnswer: 6303327.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 321000 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9250380487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/33 and 2\/2427.\nAnswer: 26697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -8*y**2 - 2. Let f(w) = -4*w**2 + 4*w**2 - 3 - 3*w**2 - 6*w**2. Let i(v) = -2*f(v) + 3*q(v). Let k(g) = -4*g. Determine k(i(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/6 - 72495\/(-972)) + -6 + 2. Sort i, -2, -4\/5 in ascending order.\nAnswer: -2, -4\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16592095 to the power of 1\/2, to the nearest integer?\nAnswer: 4073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2290 and 44060.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 6*o + 4 + 0*o - o + 0*o + (-1 - 1 + 5)*(o + 0*o - 3*o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j - 1. Let k(l) = l**2 + 5*l + 5. Let w be k(-4). Let o be (3 - 0)\/(3*w). Let g be h(o). Which is the third smallest value? (a) 1 (b) g (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26611447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-196782)\/(-56196) - (-182)\/(-52). Does q = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18541959250712769*r**2 - 544675452*r + 4.\nAnswer: (136168863*r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-26)\/(-4) - 3\/6. Let i be (-5)\/(1*(-3 + 2)). Solve i*l + 0 = 2*y + 1, -2*l + 4*y = u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7362 = -3*g - 0*m + 5*m, 4*m + 2461 = g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -99.93 + 99.73. Which is the nearest to h? (a) -5\/2 (b) 2\/47 (c) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*x - 3*w, -3*x + 2*w = -2*w + 16. Let y = 8567\/2 - 4283. Which is the closest to -0.02? (a) x (b) -1\/6 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 3*l + 24. Find the common denominator of b(0) and 58\/309.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 33*v - 346. What is j(-41)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/(-66)*18\/(-1668). Does h = 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yagya. What is prob of sequence aga?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7711 and 165.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/((-24)\/(-20))*8. Does 4 divide d\/(-2) - 1\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i - 2*i + i - 9*i + 1. Is d(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from ivvsimiddivvvasmsvvv?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b + 811 - 3*b - 936. Let i(u) = -4*u. Calculate i(w(o)).\nAnswer: 20*o + 500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**3 - 29*b**2 - 230*b - 5. Is y(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7.693839 micrograms?\nAnswer: 7693.839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(1*1\/139). Let s = -57 - n. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 271 - -191. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8188 and 68183523?\nAnswer: 2047","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.18, 0.46, 1, 0.8, 1\/7 in descending order.\nAnswer: 1, 0.8, 0.46, 0.18, 1\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2609 + 2604. Let z(c) be the first derivative of 2*c**2 + 5*c + 90. Determine z(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5495 and 210.\nAnswer: 32970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 258, 239, 192, 105, -34, -237, -516?\nAnswer: -883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3\/8 (b) -3 (c) -131555 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 2, -2*c - 2*c + 4 = -3*x. Suppose x = 4*p - 8*p. Let z = p + 3. Solve 0 = -2*u + z*a + 5, -5*u + 8 = -2*a + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 180 + 190. Let j = 268 + x. What are the prime factors of j?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -172139108*m**2 - 15448*m - 5056?\nAnswer: -344278216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 132*x + 1008. Let h be k(-6). Are 1502\/7 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o. Let q be m(5). Suppose 7 = 3*u + r, 0 = u + q*r + 8 + 13. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7354 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**6\/120 - g**5\/12 + g**4\/12 - 7*g**3\/6 + 2*g**2. Let p be o(5). Factor -3\/2*t**p - 1\/4*t - 1\/4*t**5 + t**4 + t**2 + 0.\nAnswer: -t*(t - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 12:18 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 255338 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21225 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 244.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*o - 22 = -1635 - 83 - 774 for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**4\/3 + 1606*t**3\/3 - 1604*t**2 - 3*t - 687. Solve n(d) = 0.\nAnswer: 1, 802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 0*k**3 + 0*k + 3*k**2 + 1\/12*k**4 + 0 - 1\/15*k**5 + 1\/60*k**6. What is o in v(o) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 5*f**4\/4 + 6*f**2 - 13*f + 1537. What is t(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 495 and 74160.\nAnswer: 815760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2001199603 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4488973, 4488976, 4488979, 4488982, 4488985?\nAnswer: 4488988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -619 + 2206. Suppose -11*f + q - 223 = 0. Calculate the smallest common multiple of f and 6.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 - 5*t - 1. Let h(m) = -61*m**2 + 2. Let s be h(0). Let z(u) = 2*u**2 - 4*u. Give s*d(b) - 3*z(b).\nAnswer: -2*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 20*d - 22. What is the remainder when ((-15)\/10 + 2)\/((-3)\/(-402)) is divided by u(18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4 - f + 72*f**2 + 0*f - 142*f**2 + 71*f**2. Give d(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**4*j**2 + 4186292*f**3 - f*j**2 - 6*f + 246*j**2 - 3*j - 23 wrt f.\nAnswer: 12*f**2*j**2 + 25117752*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.5 + 3.5. What is the smallest value in 2\/15, -5, l, -0.05?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**5\/60 - h**4\/8 - h**3\/6 + 2*h**2. Let q be o(4). Solve 3*s - 27 = 4*l, -q*s + 0*l + 18 = -l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, v: 1}. What is prob of sequence tv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77993*l**2*n - l**2 + 121*l*n + 96*l - 2*n wrt l?\nAnswer: 155986*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1518, -3029, -4532, -6027, -7514, -8993, -10464?\n\"Answer: 4*r**2 - 1523*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1 - 4 - 1 + 5*u + 2*u. Let k be c(3). Is (-3 - (-42)\/5)*(k - 0) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-131 + 20 + 521 + 1631)*(2*k - 2*k + k)*(-1 - 1 + 0) as l + g*k and give g.\nAnswer: -4082","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-4 + 46\/12). Let s be (-1 + 1)\/(l + -4). Suppose s = -7*b + 2*b + 40. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88118 - 41581. Let c = y - 10287. Let k be (40\/50)\/(2\/c). What is k rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*s = -7*n - 10, -4*n + 2*s + 18 = 0. Suppose 3*t = 4*d - d - 5973, n*t - 5968 = -3*d. Round d to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57.64 + 58. Let d = k + -0.26. Which is bigger: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 826613\/14605 + 6\/2921. Let r = -57 + u. Put 1\/4, 0, r, -1\/4 in increasing order.\nAnswer: r, -1\/4, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oleel. What is prob of sequence ee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 + -0.03. Let k = q - 2.11. Let l = -2.20045 - k. Round l to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-12)*(-1756)\/(-2195)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + f**2. Let d(r) = 72*r**3 - 36*r**2. Give -d(b) - 36*y(b).\nAnswer: -36*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2475861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/5 of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/21? (a) -4 (b) -5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 140.1 or -24?\nAnswer: 140.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4 = -11. Let l(g) = 2*g**3 + 7*g**2 + 7*g - 3. Let d(t) = t**3 + 6*t**2 + 6*t - 3. Let x(i) = n*d(i) + 6*l(i). Differentiate x(c) with respect to c.\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 5. Let i be p(0). Let q(c) be the first derivative of i + 4*c**2 - 3 - 4 + c**2. Let s(z) = -2*z**2. Give q(s(b)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -213 - 65 - 535 - l in the form j + i*l and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**2 - 2052516*o - 1053205482564 = 0.\nAnswer: -1026258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 122*y + 71. Let s(f) = -41*f - 20. Determine -2*l(i) - 7*s(i).\nAnswer: 43*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 392499 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*n - 8, -2*n + 0*n = -2*v + 14. Suppose 3*z + 0*t - 4*t = 240, 2*t = -6. What is the remainder when z is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 9*b + 2992. Let t(f) = 8*f + 2565. Let l(c) = 6*a(c) - 7*t(c). Let o(u) be the second derivative of 7*u**4\/12 - u. What is o(l(j))?\nAnswer: 28*j**2 + 84*j + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3661*d + 436 = -3665*d + 13*q, -59 = -d - 2*q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = g - 9618 + 1759, 2*g - 15670 = -4*i. Which is smaller: g or 7817?\nAnswer: 7817","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + 51 + -86 + -27?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 6*u**5 + 9*u**4\/2 - 36*u**3 + 21*u**2 + 18*u - 27\/2 = 0.\nAnswer: -3, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - -0.3. Which is the third biggest value? (a) v (b) 4 (c) 0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -281, -2199, -7395, -17513, -34197, -59091?\n\"Answer: -274*w**3 + 5*w**2 - 15*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5 + 40*a**4 + 101*a**3 - 370*a**2.\nAnswer: a**2*(a - 2)*(a + 5)*(a + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9295 is divided by 489.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 25 = 0, -p + 0*p + 489 = -5*j. Calculate the greatest common factor of p and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2262, 18178, 61362, 145446, 284062?\n\"Answer: 2272*d**3 + 2*d**2 + 6*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1964 is divided by 59?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84709501.\nAnswer: 84709501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -24. List the prime factors of (378\/(-35))\/(v\/(40\/(-3))).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68019390.\nAnswer: 2, 3, 5, 755771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 14*s**3 + 28*s**2 - 7*s - 7. Let i(l) = 9*l**3 + 19*l**2 - 5*l - 5. Determine -7*i(n) + 5*k(n).\nAnswer: 7*n**3 + 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -548, -574, -598, -620, -640, -658?\nAnswer: -674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 20. Let p(f) = f**3 + 1. Let k(b) = 3*b**3 + 4*b - 8. Let a(z) = -8*z**3 - 9*z + 17. Let w(l) = 4*a(l) + 9*k(l). Determine i*p(d) - w(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 20 (b) 2 (c) 0.3 (d) 357\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 8*w - 161. Solve -21*q - w*q = 156 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*s + 104 - 104 to w + z*s and give z.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 109 + 15 = 0. Suppose 2*i + 4*y + u = 0, -3*y - 5 = 2*y. Is 8\/(-60) - 2948\/i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-9) - 170\/(-45) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 230 - 227. Suppose 2*u - 563 = 3*p + 4*u, -p + q*u = 184. Is p less than or equal to -187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 0\/(-1) - -85. Let r = s - 59. Suppose 0 = -14*w + 200 - 102. What is the remainder when r is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 65?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/6*3 + 0. Let r be (-1)\/(-6) - (-38)\/(-57). Which is bigger: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*2\/(-7)*644\/115?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/5239368 and 107\/32952.\nAnswer: 5239368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22438013 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(243) + (sqrt(243) - (sqrt(243)*-1 - sqrt(243))*-3) - (1 + sqrt(243) + 0)) + 4)**2 + 3 + 4 + 1.\nAnswer: 1080*sqrt(3) + 218712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 68817224*d**2 + 295988144941636*d.\nAnswer: 4*d*(d + 8602153)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 45 = -12. Suppose -3*i - 16 - v = 0. Let o be i\/(-9) - (-1 - -1). Solve 2*z = -4*q - o + 5, -q = -2*z - 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/7 (b) -9\/115 (c) 0.058 (d) -24 (e) 0.3 (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26738168?\nAnswer: 2, 19, 175909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/8391 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 2. Let s(k) = k**2 - 4*k - 5. Let z be s(b). Let f = z - -5. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -47347 > -47346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2060\/8*(-4)\/(-5). Let d = 330 - l. What are the prime factors of d?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxnxnnnyeeen. Give prob of sequence nn.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23657673*o**4 + 33806464*o**2?\nAnswer: 567784152*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50078 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 12 + 0 = 0. Suppose -4*k - 5*c = -23, 4*k - 2*c = 2*c - d. What is the common denominator of k\/(-6) + (-14)\/66 and -11\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -104350 bigger than -104247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -261*y**2 - 980*y + 287. Calculate r(-4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17752980 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1117 - b9?\nAnswer: -1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -943\/4 + 8351\/36. Find the common denominator of -157\/180 and u.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 10*o**2 - 6*o - 8. Let w be t(7). Suppose -4*r + 52 = -4*c, w = 3*r + r + 5*c. Suppose -5*l + l = 3*n - 9, -l = 3*n - r. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12605621 to the power of 1\/3, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and 0.058633.\nAnswer: -0.00410431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-32)\/(-7600)*19*(-60)\/(-66))?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbbbgbb. What is prob of picking 3 b and 1 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m**2 - 161*m + 101. Let o(x) = x**3 - 10*x**2 + x + 4. Let u be o(10). Calculate the remainder when a(-32) is divided by ((-15)\/4)\/(u\/(-168)).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675491887.\nAnswer: 7, 359, 389, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*h + 56 = -49*h. Which is the third smallest value? (a) h (b) -0.5 (c) -13 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4242950 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 8*q + 4. Let z = -181 + 182. Let m(i) = i**3 - 4*i**2 + i - 4. Let o be m(4). Let n be o\/6 + z*-4. Calculate w(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 + 8*a - 7 + 18*a**2 - 19*a**2. Let z(w) = -w**2 - w - 3. Let o be z(-3). List the prime factors of h(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - -1. Let v = p - 12. Let f = -0.1 + 0.5. Which is the nearest to v? (a) f (b) -1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**5\/100 + 3*t**2. Factor v(b).\nAnswer: -3*b**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o - 7. Let m(j) = 0 - 3 - 6*j - 4 + 1. Let z(n) = 4*n - 3. Let k be z(2). Calculate k*g(v) - 6*m(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -13.91 (c) -3 (d) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*z + 37*z + 35 = 0. Let y = 86 - z. Suppose 5*x - 81 = -2*u, 3*u = -6*x + 10*x - y. What is the greatest common factor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**4\/6 + q**3\/6 - 3*q**2\/2 - q - 10. Let n(v) = 4*v**2 - 2*v + 7. Calculate -7*h(y) - 3*n(y).\nAnswer: 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5176503 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 39 = 18*s. Let a = s + 25. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(4\/41) + 3. Suppose -14 - j = -2*z. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 100 = 12. Is (92\/8)\/(1\/z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3530 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 44*g - 37*g - 12 + 2. What is the lowest common multiple of c(4) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 128*y**2 + 27*y + 27. Let u be r(-1). Suppose 2*d + 126 = u, -2*o = -4*d - 16. Factor 0 - 20*a**2 - o*a + 45\/2*a**4 + 15\/2*a**3.\nAnswer: 5*a*(a - 1)*(3*a + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14988, 46534, 99110, 172716, 267352, 383018, 519714?\nAnswer: 677440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 5\/24*l**4 + 4*l**2 + 0*l - 8 + 5\/3*l**3 - 1\/12*l**5. Let p(y) be the second derivative of x(y). Solve p(a) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -310 - -315. Solve 0 = -o - 4*c - 14 - 0, o - y*c - 22 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-3) - 1\/(-3). Let i(n) = -3 - o*n**2 + 2*n - 2 - 8*n - n**3. Is i(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/9 - 624\/144. Put y, 1, -26, 7 in descending order.\nAnswer: 7, 1, y, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - (2 + -1 - (9 - (42 - 25)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5\/6 (b) 0.4 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6307 - 6306.999997304. Round u to 7 decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 1*3\/(-10)*2. Determine l so that -j - 2\/5*l**3 - 6\/5*l - 6\/5*l**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4398 - 1700?\nAnswer: -5a98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 185 - 167. Suppose 0 = -2*o + 10 + b. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {z: 1, r: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(648) + -3 - (sqrt(648) + sqrt(648) + sqrt(648)*-1 + -4 + sqrt(648))) + 4 + -2*sqrt(648) + sqrt(648) + sqrt(648)*1*6)*2)**2.\nAnswer: 2304*sqrt(2) + 41536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1103*(-4)\/(-8) - 0. Let w = -567 + l. Find the common denominator of w and 150\/4*5\/(-135).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -108*u + 105*u - 50, -3*y = 3*u + 48 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 62*o**2 - 24*o + 2426. Calculate l(-63).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4 = -4*i, -5*i - 35 = -0*d - 5*d. Solve -l + 5*l = d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 3074.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppnipipppppffpffi. What is prob of picking 1 p and 1 i?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3460623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -145*t**3 - 57?\nAnswer: -435*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 893, 938, 1015, 1124, 1265, 1438?\n\"Answer: 16*h**2 - 3*h + 880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4140 divided by -1035.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/39 + -3)\/((-1)\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 994738 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -583.39 - -587. Let r = -3.51 + c. What is the second biggest value in -4, -1\/6, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 2. Let c = 118 - 117. Let o = p + c. Solve 0 = -g + o*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*s - 7 - 2, 0 = l + 3*s + 7. Let v(n) = -n**2 + n + 48. What is the remainder when v(0) is divided by l\/(-1) + 22 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + k + (-k + 0 + 0)*(2 - 5 + 1) + (-2 + 3 - 4)*(4*k - 2*k + k))*(-3*k**3 - 4*k**3 + 3*k**3).\nAnswer: 24*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70976.58 millimeters to meters.\nAnswer: 70.97658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3766632 to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**4\/12 + v**3\/6 + 7*v**2 + 2*v + 2250. Calculate w(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**4\/6 - z**3\/6 + z**2. Let s be r(1). Find the second derivative of -3*p**s - 2*p + 4*p - 5*p + 4*p wrt p.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4357640 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from ttkkkktikitiitk?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 23 + -3 + -1 + 1.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - w = -1198, -59*f - 968 = -63*f + 4*w. Calculate the lowest common multiple of 28 and f.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 0*k**2 + 39*k + 0*k**6 + 0*k**5 + 1\/3*k**7 + 37\/12*k**4 + 0*k**3 + 0. Find the third derivative of v(y) wrt y.\nAnswer: 840*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -206, -644, -1494, -2894, -4982?\nAnswer: -7896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**4*p**2 + 441*d**3*p**2 - d**2*p**2 + 771*d**2 + 2*d*p wrt d?\nAnswer: -48*d*p**2 + 2646*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m + 18*m**2 - 29 + 30 - 4*m**3 - 20*m**2. Let o = 1 + -3. Let r(q) = 9*q**3 + 5*q**2 + 5*q - 2. Give o*r(v) - 5*a(v).\nAnswer: 2*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -9*h**3. Suppose -5*c = -5*i - 6 - 24, 2*c = i + 8. Suppose d + 0 = 4*b + 5, -5*d + 3 = c*b. Let l = 0 - b. Give q(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 12 = p. Suppose p*w - 3 = 1. Let i(f) = -1 + w - 3*f - 1. What is i(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 904 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 2. Suppose 0 = -4*b + 18 + 6. Let a be 627\/38*8\/b. Let z be 48\/a - (-4)\/(-22). Give k(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 3 (c) 0.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 8813867?\nAnswer: -8813863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339 = 3*o - 102. Let n = 151 + o. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 - (22 + -4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*s + 48 = 2*n, -2*s = 2*n - 34 + 48 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -35.018 times 50\nAnswer: -1750.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*h + 5 - 13, 4*r = 2*h - 10. Let f = -3612 + 25243\/7. What is the common denominator of (332\/6)\/(h + -1) and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2268819 to the power of 1\/2, to the nearest integer?\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2517 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5475891 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/209)\/(16\/33).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 40 + (-22 - -16).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -1\/1680*k**8 + 0*k - 1\/525*k**7 + 1\/120*k**4 + 0*k**3 + 0*k**6 + 1\/150*k**5 + 0 + 11*k**2. Factor t(l).\nAnswer: -l*(l - 1)*(l + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -322488.07?\nAnswer: 1289952.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(24)\/sqrt(4)))\/sqrt(2).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + a - 1. Let t(k) = -4*k**2 - 6*k + 6. Determine t(c) + 6*y(c).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6816 or -6917?\nAnswer: -6917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -31*c**3 + 13*c - 13. Let a(n) = -26*n**3 - n**2 + 14*n - 11. What is -6*a(i) + 5*o(i)?\nAnswer: i**3 + 6*i**2 - 19*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p\/(p*p**(-26)))\/p)**(-3\/28))**(-9))**(4\/21) assuming p is positive.\nAnswer: p**(234\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 4 = h, 5*c - 28 = -4*h - 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 1096*b + 75076.\nAnswer: 4*(b + 137)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4b2d + -5?\nAnswer: 4b28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2625991157.\nAnswer: 2625991157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(1408) - (sqrt(1408) - 2*sqrt(1408)*-1))\/(sqrt(792)\/sqrt(2) - (sqrt(77)\/sqrt(7) + sqrt(11))*-3).\nAnswer: -16*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o - 27. Let f be x(9). Let s(w) = -w**2 + 9*w. Let c be s(f). Suppose 0 = -g + 1, 3*a + 3*g - 706 - 902 = c. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349 = 146*u - 2863. Let m = 7 + -20. Let j = m - -25. Solve -3*w + 2*k = -9 - j, -2*w = -4*k - u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7*q**3 + 2*q**2 - 4*q + 4. Let o(u) = 8*u**3 - 2*u**2 + 5*u - 5. Let g = 24 + -18. Suppose -13 = g*d - 37. Determine d*o(k) + 5*j(k).\nAnswer: -3*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 + 92 - ((1 - 6 - 2) + 1).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 5*g**2 + 5*g + 3. Let y be o(-6). Let v(w) = -w - 5. Let p(r) = 6. Let m(t) = -3*p(t) - 2*v(t). What are the prime factors of m(y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 12*g**2 + 49*g - 580. Determine k(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.05 + -12.15. What is the nearest to -4 in 3, -1\/4, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 0 + 0)*(2*v**2 - 2*v**2 - v**2) + (5*v**5 - 158*v + 158*v)*(-1 + 5 - 2).\nAnswer: 11*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 132, 146, 146, 126, 80, 2, -114?\n\"Answer: -x**3 - x**2 + 24*x + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434 is divided by 215.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 9*n + 0*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/7, 0.1792, 0.7, 2\/11, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**3 - 56*v**2 + 2379*v + 17. What is b(-39)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2920458 and 9630?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 503328 + -221828. What is h rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p = -12, -5*p = q - 62. Let s = q + -43. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i + 1. Let c = -20 - -12. Let k(d) = 19 + 5*d + 4*d - 21. Let p(f) = c*z(f) - 3*k(f). Find the first derivative of p(v) wrt v.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 4:00 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 498 and 222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92.5 - 93. Put i, -0.2, 0 in descending order.\nAnswer: 0, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(1872))*-1)**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606966?\nAnswer: 2, 3, 101161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7357 and -2.\nAnswer: 14714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.49.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1484074 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2 + 6*z + 2*z - 1.\nAnswer: 8*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -540 = -8*a - 100. Calculate the least common multiple of 15 and a.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.785371 rounded to 1 dp?\nAnswer: -29.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-238*k + 85*k + 109*k)*(8 + 4*k - 8)*(-2 + 8 - 1)*(-4 + 3 - 1)*(0*k + 0*k + k) in the form q*k + h + x*k**3 + m*k**2 and give x.\nAnswer: 1760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(91) - (-3*-1*sqrt(91) + sqrt(91) + sqrt(91))) + sqrt(91) + 3*(sqrt(91) + -2*sqrt(91)) + sqrt(91)))\/(sqrt(252)*-4 - -1*sqrt(7)*4).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01657 rounded to four dps?\nAnswer: 0.0166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 78*t + 19. Is g(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 20*u**2 - u - 1. Let q(p) = 2268*p**2 + 1847*p + 6. Let o(k) = q(k) + 6*s(k). What is the second derivative of o(j) wrt j?\nAnswer: 4776","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-112)\/(-42) - 3\/(-9). What is the hundreds digit of (-23)\/(621\/(-18)) + 1744\/d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 2*d - 219 + 200, -2*p + 16 = -2*d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -10*t + 6*x + 68, -72 = -4*t - 4*x. Solve -t*y = -1 + 17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 1. Let n be d(-3). Suppose f - 3*f + 8 = 0. Suppose f*r + 3*h = -24800015, -h = -3*h - n. What is r rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 46.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 84*c**2 - 1042*c - 32. What is j(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 26972*i**3 + 9*i**2 - 9*i + 27. Let p(l) = 1443000*l**3 + 481*l**2 - 481*l + 1443. Determine 481*n(q) - 9*p(q).\nAnswer: -13468*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**6\/12 - 11*b**5\/20 - 9*b**4\/8 + 16*b**3\/3 - 5*b**2 - 190*b. Find h such that r(h) = 0.\nAnswer: -2, 2\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*q**5 + 87*q**4 + 2*q**3 - 5083*q**2 - 3.\nAnswer: 1380*q**2 + 2088*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**4\/3 - 3*w**2 - 3*w. Let m(x) = 4*x. What is d(m(v))?\nAnswer: -32*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in eight sevenths of a week?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2453*l**3 + l + 170 - 170 to the form i*l**2 + b*l**3 + x + a*l and give b.\nAnswer: 2453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 104172457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**5*j*j)\/j)**(1\/29))**(-31))**(14\/5) assuming j is positive.\nAnswer: j**(-3038\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/(-200) - 618\/45)*3\/2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -166 * -114.129\nAnswer: 18945.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 12 (c) -0.3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - d. Let b(p) = 3*p**2 + 11 - 8 + 7*p + 28. Let l(k) = b(k) - 4*h(k). Let f be l(13). Solve -f = -4*z - z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -84435, -84439, -84445, -84453, -84463, -84475, -84489?\n\"Answer: -z**2 - z - 84433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.121833 and 363.\nAnswer: 44.225379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 52*p**3\/3 - 394*p**2\/3 + 106*p\/3 + 184 = 0?\nAnswer: -1, 3\/2, 92\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257860 a multiple of 1090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2116*l**5 + 3363*l**2.\nAnswer: -126960*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 32*f**2 - 52*f + 69. What is the remainder when l(30) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (86 - (-90784)\/(-1056))\/((-3)\/11)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4002552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 8951*g**3 - 53706*g**2 + 53706*g - 53706. Let n(f) = -f**2 + f - 1. Calculate -a(t) + 53706*n(t).\nAnswer: -8951*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1891 + 1 - (35 + -36). Suppose -168 = -5*q - t + g, t - 409 = -q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3705 - 3628) + (0 - -1 - (-3 - 12)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121643694114 + 20*m + 121643694114.\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*a - 3. Let o(p) = p - 7. Let j be o(11). Let g be 0 - -3 - j*9\/(-12). Sort a, 4, g, 2 in descending order.\nAnswer: g, a, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**6\/630 + s**4\/42 + s**3\/3 + 5. Let q(o) be the third derivative of k(o). Determine x so that q(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7344 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - sqrt(245)\/sqrt(63)) + ((sqrt(245) + sqrt(245)*3)\/sqrt(7) - sqrt(35)))\/((sqrt(5) - (sqrt(320) + sqrt(320)*-3)) + 1*sqrt(245))*3.\nAnswer: 11*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2449 + 53919\/22. Find the common denominator of -25\/16 and s.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745813721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106231978 and 38533?\nAnswer: 1168551758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3 + 2 - 7 + 10 - l**2. Give g(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1383ed (base 15) to base 14.\nAnswer: -1a6380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -20058?\nAnswer: 3\/6686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*c**6 - 79*c**4 - 2075*c**3 - 562*c**2 + 59*c - 3?\nAnswer: -480*c**3 - 1896*c - 12450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 6ac16?\nAnswer: 6ac15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 505577 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33912425 is divided by 6782473.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -105630 to the nearest one thousand.\nAnswer: -106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 103*m + 6934. Determine n(156).\nAnswer: -1334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74276*i - 5*i**2 + 74276*i.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 2) + 525\/511 - (12 + -14).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(-4*sqrt(432) + sqrt(432)).\nAnswer: -sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21550072.3 rounded to the nearest ten thousand?\nAnswer: -21550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.807 to 1 decimal place.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -540*o + 188917 = -3637*o for o.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 216 (b) 175 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29276*w + 11143*w - 12898*w.\nAnswer: -31031*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019104 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 28.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26094.\nAnswer: 2, 3, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 229420, 229431, 229456, 229501, 229572, 229675?\n\"Answer: p**3 + p**2 + p + 229417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y = z + 16*y + 417, -3*z = 4*y + 1241. Let h = -401 - z. What is the lowest common multiple of 26 and h?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 113394694*n**3 + 421978366*n**2 wrt n.\nAnswer: 680368164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -392514\/7, 0.4, -3\/14 in ascending order.\nAnswer: -392514\/7, -3\/14, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j**3. Let y be r(1). Suppose a = y*a. Suppose -10*q + 8*q + 16 = a. Solve 3*b - 1 = q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193 = 60*x + 13 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -646683.\nAnswer: 6466830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1130 - 271 - 859 + 6764*k.\nAnswer: 6764*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4707 and 807.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 204\/119*(-8 + 20 + -5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20175 divided by -68?\nAnswer: -20175\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -79 - -62. Let m = 0 - s. Let g = -12 + m. What is the nearest to 0.1 in 0.2, g, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 6*t - 6. Let i be n(-5). Let c = i - -13. Suppose 2\/11*v - 2\/11 + 6\/11*v**c - 4\/11*v**4 - 2\/11*v**3 = 0. Calculate v.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 4*n**2 - 5*n**2 + 7 + 37.\nAnswer: -2*n**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 4:10 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + g = -15, 2*y - 20*g - 10 = -24*g. Calculate the remainder when 19 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -x, m + 3*x = -2*m + 147. Suppose -42 = -3*r - 3*q, r + q = -3*r + m. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 292*s - 295*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -174 (base 8) to base 5.\nAnswer: -444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.093484621 and -0.02.\nAnswer: 0.00186969242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -110998.4597 to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.006 - 0.994. What is the closest to d in -2, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-48)\/(-10)*(24 - -1). Let a(y) = 7*y**2 + 4*y - 9. Let z be a(-6). Let g = z - m. What are the prime factors of g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37098212831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 955 divide 515880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = -0. Let l(m) be the second derivative of 5\/18*m**4 + 0 + 4\/45*m**6 - 4\/15*m**5 - 1\/9*m**3 + m + 0*m**r. Factor l(c).\nAnswer: 2*c*(c - 1)*(2*c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, m: 2, s: 1, d: 1, w: 5}. Give prob of sequence wd.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10260230, 10260225, 10260210, 10260179, 10260126?\n\"Answer: -c**3 + c**2 - c + 10260231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 4*b**2 - 4*b - 1. Let k be u(-3). Let r(l) = 9*l + 3. Let f(s) = 2 + 0*s - 1 + s. Let o(z) = -6*f(z) + r(z). Give o(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.086 + -95.914. Let g = 95.7 + f. Let m = -4 - 1. What is the second smallest value in g, 0.5, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68104 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 19*p**2 + 5*p + 13. Is j(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 9*a - 3*h + 19 = 0, 5*a - 105 = -4*h - 51 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2690103.\nAnswer: 3, 13, 23, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 10*s**3 + 11*s**2 + 17*s. Let u(a) = -5*a**3 - 6*a**2 - 9*a. What is 11*u(w) + 6*x(w)?\nAnswer: 5*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6303411 to the nearest 10000.\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r**2 + 10*r + 0*r - 10*r + 2913*r**3 - 60*r**3.\nAnswer: 2853*r**3 + 15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 166951\/12 - 13903. Let i = 123 + -43. What is the common denominator of -3 + 0 + -1 - (-164)\/i and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 2*w + 19. Let r = -43 - -43. Let m be i(r). What is the greatest common factor of m and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -292 - -374. Is v a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 + 1515?\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -655, -2651, -5977, -10633, -16619, -23935, -32581?\nAnswer: -42557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 725 and 435.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4029322 is divided by 62?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1551 + -1551.3. Which is the closest to -1? (a) -5\/4 (b) 30 (c) 2\/9 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -20 + (35 - 25).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4\/5*k - 2\/5*k**2 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -10*m + 13. Let b(h) = -1. Let q(s) = -3*b(s) - x(s). Differentiate q(u) wrt u.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-9)*36\/24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1785 divided by 15?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 10640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3758, 3754, 3754, 3764, 3790?\nAnswer: 3838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/322 and 107\/1541414?\nAnswer: 1541414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 601 = 4*o - 155 - 848. Is o a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 4*s**2 - 8*s + 6. Suppose -5*t - 3*l = 14 - 51, 21 = t + 4*l. Let u be r(t). Is (-2)\/6 - 498\/u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/7)\/(b*b**31)*b**(-35)\/(b*b\/(b**(14\/5)*b)) assuming b is positive.\nAnswer: b**(-2292\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 56dc (base 15) in base 8?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/(v*(v\/v**(-19)*v)\/v*v)*v)\/v)*v)\/v**(15\/2))\/(v**(-3\/5)\/v**(-14)) assuming v is positive.\nAnswer: v**(21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*q + 3*l, 5*q - 3*l = -4 + 12. Which is the nearest to q? (a) -0.2 (b) 3\/8 (c) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1365.7ng to grams.\nAnswer: 0.0000013657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 626984, 626970, 626946, 626912?\nAnswer: 626868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-430)\/225*(-34 + 1). Let l = m - 63. Which is bigger: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -454087055583*j + 454087055583*j - 2*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -699*j - 1323. Let l be r(-2). Solve -l = -s - 67 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = b - 4*b + 19, b - 116 = 2*t - 107 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2)*(-5 - -5). Suppose -3*v + 27 + 24 = l. Suppose 3*w + 5*w = 72. What is the remainder when v is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 726*r - 729*r - 5541, -2*u + 5548 = 4*r. Calculate the lowest common multiple of u and 99.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j. Let l(w) = 4439288*w**2. Determine l(x(t)).\nAnswer: 17757152*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77 - -78. Let m(x) = -70*x**2 + x - 1. Let h be m(k). Let o = h - -74. Solve o*s - 13 = 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53 * -0.32.\nAnswer: 16.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(65\/(-13)))\/(1\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4953 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c**3 + 4*c**2 + c + 4. Let j(n) = n**3 + n**2 - n + 1. Determine -4*j(i) + q(i).\nAnswer: 2*i**3 + 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5 = -11. Suppose -3*w + 5*o + 50 = 0, -v*o - 28 - 8 = -2*w. Calculate the least common multiple of w and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 6*s - 2*s - 8 = 0, 2*w + 4*s - 8 = 0. Suppose 8 = -w*g + 4*g. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 17144*s - 8. Let j be p(7). What is j rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 5*l + 6. Let s = 3 - 8. Let f be x(s). Find the second derivative of -4*c**5 - f*c + 2*c - c**4 + c**4 wrt c.\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2502238 (base 9) to base 10.\nAnswer: 1359782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**2 + 67*j - 59. What is the remainder when 98 is divided by w(21)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00585*96465\nAnswer: -564.32025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(12\/8))\/(-2). Let w be 438\/(-10) - b\/5. Let p = w + 70. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 281686 and 10922.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141214213221 - 4?\nAnswer: 141214213212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 5) to base 4\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 151.4 to the nearest integer.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 9288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**3 - 99*f**2 - 373*f - 5854. Calculate r(-31).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10, o: 3, z: 2, p: 3}. Give prob of picking 1 o and 1 u.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 17\/3, 0.4, -1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a = 26*a + 2550000. Round a to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 - 4*i - 1. Let q(r) = 2*r**2 + 3*r + 1. Let y(x) = 3*q(x) + 2*u(x). Let w be y(-1). Does 14 divide w\/((-20)\/(-19) - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-15)\/(-8))\/(108\/(-144)))\/(35\/(-12)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 2*r**2 - 10*r - 2. Let m(d) = d**3 + 4*d**2 - 10*d - 1. Give 3*c(t) - 2*m(t).\nAnswer: t**3 - 2*t**2 - 10*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-107 + 74 + 74)*(-185 + 185 + 5*v) to o*v + g and give o.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbun when four letters picked without replacement from {b: 1, a: 1, n: 2, u: 4, f: 1}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - ((7 - (5 + -4)) + -2) - -6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -4*u - u + 17, 11*u - 3*d = -7*u + 13*u + 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12530 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35973885 to the power of 1\/2, to the nearest integer?\nAnswer: 5998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 0*x - 3*x = f - 38, 3*x - 5*x - 28 = 5*x for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = k + 7705, -2153 = -3*x - k + 2470. Suppose 4*r + x = 7201. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-36))\/((-20)\/(-12)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -221, -436, -987, -2036, -3745, -6276, -9791, -14452?\n\"Answer: -27*g**3 - 6*g**2 - 8*g - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -3, -8, -50, -4 in decreasing order.\nAnswer: 38, -3, -4, -8, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 564636*t**2 - 26*t - 4805 wrt t.\nAnswer: 1129272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(t**(-22)\/t)*t*t*(t\/(t*t**(3\/7)*t)*t*t)\/t*t assuming t is positive.\nAnswer: t**(193\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 16*m**2 - 289*m + 20. Let s be i(18). What is the third smallest value in -2, 0, 2119, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77 + 4344\/(-27) + 84?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 178923 by -89.\nAnswer: -178923\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4)*j)\/j**7)\/(j\/j**(-3\/5)*((j\/(j\/(j*j\/(j*j**6))))\/j)\/j*j) assuming j is positive.\nAnswer: j**(-37\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46024 is divided by 84?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + -1*sqrt(99))**2 + (-5*(sqrt(99) - -1*sqrt(99)) + sqrt(99))**2.\nAnswer: -6*sqrt(11) + 8117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z. Let p(a) = a. Let l(t) = 0*t + 10*t + 2*t - 9*t. Let c(y) = l(y) - 2*p(y). What is c(n(i))?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(36)\/sqrt(4)))\/(-1*sqrt(484)).\nAnswer: -sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4208643 (base 11) to base 14\nAnswer: db1dd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -650*n - 1358*n - 946*n = -321*n + 279098 for n.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/874 - 15515\/1311. What is the common denominator of b and 107\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 20*p = -482944 - 387427. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 16*i - 20. Suppose 0 = -5*x + y + 70, 4*x - 56 = 2*y - 6*y. Calculate the smallest common multiple of j(x) and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139 by -4835.\nAnswer: 139\/4835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 110112132121 (base 4) in base 5?\nAnswer: 2331204222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 381216408 and 1016.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 21 = 24. Suppose -p - 3966 = -u - 2*p, 0 = 3*u - d*p - 11906. Suppose -24152 = -5*i - u. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111042 - 222205 - f**3 + 0*f**3 + 111163 + 37*f.\nAnswer: -f**3 + 37*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 402.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186409.\nAnswer: 19, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 720, 572, 424, 276, 128, -20?\n\"Answer: -148*g + 868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12140)\/4249*(-14)\/(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 1:19 PM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 4 = 4*k. Suppose -123 = -n - 5*y, n - y - 173 + 74 = 0. Is 10\/(k + n\/101) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 4:09 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.14 + -1.1262. Round b to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x**(-2\/9)\/x)\/x)**(-33)*(x*x*x**2)**39 assuming x is positive.\nAnswer: x**(589\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10310302 (base 4) to base 12\nAnswer: b52a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 + -168. Let v = 157 + t. What is the least common multiple of 13 and (-30)\/v - (-48)\/5?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 1425600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4 = -4*a. Let d = 367 - 153. Let c = d + -196. Calculate the remainder when c is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-117 - -97) + (1 + -6 + 6 - -1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -19*l**2. Let y(m) = 735*m - 283*m - 468*m. What is y(z(x))?\nAnswer: 304*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 1:37 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 - 4 + 4 + (-2*r**2 + r**2 + 3*r**2)*(17 + 20 + 32).\nAnswer: 135*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110957 or 110956?\nAnswer: 110956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4166.\nAnswer: 2, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/sqrt(48)*6 - (sqrt(19) + (sqrt(171) + sqrt(171) + (sqrt(171) - 2*sqrt(171)))\/sqrt(9) + -3).\nAnswer: -sqrt(19)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*w**6 - 2031660*w**3 - 2*w**2 - 4*w - 144331?\nAnswer: 360*w**3 - 12189960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 235*x - 2188. Calculate the remainder when a(10) is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a. Let v(c) = -c**2 - 1. Let r(d) = 5*d**2 + 4. Suppose 16 = -0*t + 4*t. Let u(z) = t*v(z) + r(z). Calculate b(u(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -34252, -68532, -102832, -137158, -171516, -205912?\n\"Answer: -r**3 - 4*r**2 - 34261*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**3. Let q(h) be the first derivative of 3*h**4\/2 + 29. What is 7*l(x) - 6*q(x)?\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.7 in -10\/9, -5, 530\/3?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 18 = 2*w, -10 = 23*x - 21*x + 5*w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 8 + (2 - (9 + 14 + 1)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 31510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -303\nAnswer: 4\/303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64424.\nAnswer: 2, 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3 - 31804*f**2 + 31807*f + 63610 = 0 for f.\nAnswer: -31805, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(11\/(-11) - (54\/(-81) + 76\/6)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21\/11 in 0.4, -2, -3\/5, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 + 0.25. Let x = -2 + 2.2. Let k = -0.2 - x. Sort n, 5, k.\nAnswer: k, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 25 - 40)*(-j**4 + j - j) + (j**2 + j**2 + 0*j**2)*(-j**2 - 5*j**2 - 6*j**2).\nAnswer: 25*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 815\/326*6\/1\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 = 40*t - 103*t + 25 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t - t**3 + 0*t + t - t + 2*t**3 + 0*t + 0*t - 2*t**3 + (5 + 2*t**2 - 5)*(2*t - 4 + 4) - 9*t**3 - t**3 - 2*t**3.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 6:07 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g + 16. Let r be j(7). Suppose -u - u = 12. Let d be 4\/(-6) - 8\/u. Which is the nearest to d? (a) -2\/9 (b) 0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -388*l**5 + 386*l**3 - 108194*l.\nAnswer: -7760*l**3 + 2316*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-2))\/(816\/3808)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**4 - x**3 + x**3)*(-11 + 0*x - x - x).\nAnswer: -2*x**5 - 11*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 53*16 - (-282)\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3 - 0, -4*c = 2*k - 50. What is the second biggest value in -1\/7, k, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -43\/233 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a + 2*a - 5*a)*(20*a**3 + a**2 - 42*a**3 + 0*a**2).\nAnswer: -22*a**4 + a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + (52\/44 - 12\/66). Sort 6, -1, 1, v, 5 in descending order.\nAnswer: 6, 5, 1, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 - 16 = 36*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 - -48. Solve -5*o = -p*o - 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - sqrt(84)*2 - sqrt(84) - sqrt(84))*-1 + -2*sqrt(84)*5)\/(((sqrt(84) - sqrt(84)*1)\/sqrt(7) + sqrt(588)*2)*-5).\nAnswer: sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*x + 5*r + 6, -x - 14 = 5*r. What is the least common multiple of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -196 + 212. What is the remainder when 77 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - -101. Suppose 2*a = g - 0*g + 23, -5*a = -4*g - x. Calculate the remainder when 42 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1558, -3368, -5180, -6994?\nAnswer: -8810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u = 32*u - 30. Suppose -2*x - 28 = -6*x. Solve -8 - x = -u*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 27. Suppose l*c = 5*c. Solve c + 5 = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 9:38 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = j + j - 376, -4*f - 4*j + 508 = 0. Let a = 123 - f. Let i(v) = -4*v + 3*v + 2*v. Let x(t) = 3*t. What is a*i(w) - x(w)?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/w**2*w*w*w**(1\/4)*w*w**(2\/5)\/(w**(-2\/13)\/w)*((w**(-5)*w*w*w)\/(w\/w**2))\/(w*((w\/(w\/(w\/(w*w**(-1)*w*w)*w*w)))\/w)\/w)**(23\/3) assuming w is positive.\nAnswer: w**(989\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3835696, -3835705, -3835714, -3835723, -3835732?\n\"Answer: -9*a - 3835687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*t - 10 = 0, 11 = -2*q - 4*t - 9. Let i = -5 - q. Suppose i*f = -0*f + 425. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 9, 32, -3.8 in decreasing order.\nAnswer: 32, 9, 3, -3.8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 228 + -104. Let a = u + -69. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6115680262 to five decimal places.\nAnswer: -0.61157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (120\/(-75))\/(2\/(-20)). Calculate the highest common divisor of 64 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*k - 4*g = -68*k + 184, 0 = -k - 4*g + 74. Calculate the highest common factor of 2537 and k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 8*h + 66. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - j + 12, 5*u - 4*j - 3 = 17. Solve r + 4*i = -17, 0 = -r + 3*i + u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319*k - 102*k - 109*k - 111*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 = -0*i. Let w = 0 - -1. Let g = -56 + 60. Which is the nearest to 1? (a) i (b) g (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1629729123 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*s + 241*s + 1636 - 1631 = 3305 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*r**3 + 2130*r**2 - 6*r**3 - 2130*r**2.\nAnswer: -29*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 703308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*i + i = 98, 5*s - 3*i = 251. Suppose 4*l + 3*o - s = 0, l + 2*o - 19 = -1. What is the highest common factor of 190 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4997 minus -0.02?\nAnswer: -4996.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 i when four letters picked without replacement from {o: 4, i: 3, q: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018952 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 921.\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11485900 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**3 + 22*y + 4. Let r be f(0). Solve 4*m - 2 = 4*n - 10, 5*n = -r*m + 28 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168591557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*s - 163 + 48 = 0, -3*x + 5*s = -312. Calculate the remainder when x is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - c - 1)*(0*c**2 - 5*c**2 + 3*c**2)*(19*c - 43035*c**2 + 43033*c**2 + 30*c).\nAnswer: -4*c**5 + 98*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g + 16. Let l be m(0). Let n = -7 + l. Is 2 a factor of 4\/(-1) + -3 + n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 1284?\nAnswer: 1289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {w: 2, h: 2, n: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/30*2)\/((-20)\/18).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*z - 161 + 161 as t*z + g and give t.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 34 = -y, a + 172 = 4*y + 3*a. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -549237, -549495, -549925, -550527?\n\"Answer: -86*y**2 - 549151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-6)*(-30)\/9. Suppose 0*c + 110 = t*c. Suppose -4*p + 6*p = c. Calculate the highest common factor of p and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 27 and 59 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(((q*q**3\/q*q)\/q)\/q))\/(q*q**5*q))\/(((q\/(q**(-2)\/q))\/q)\/q**1))**39)**(2\/59) assuming q is positive.\nAnswer: q**(-780\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 4*f**2 - 3*f + 5. Let n be p(7). Let s = n + -84. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 220\/(-80)*(-16)\/88 + 0 + 65\/(-2).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**2 + 2. Suppose 16*c + 60 = 11*c. Let g(p) = -p**3 - 11*p**2 + 11*p - 8. Let y be g(c). Suppose t = y*t - 6. Calculate f(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 1. Let k(r) = -r**2 + 16*r - 18. Let l(w) = -k(w) + 4*p(w). Let g be l(11). Let u be -1 + -3 + 5 - -1. Solve -u*x = -g*x + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1046, 603, -510, -2629, -6090, -11229, -18382, -27885?\nAnswer: -40074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + (-2)\/(-4))\/(13\/(-260)). Let v be 0\/1*(-3)\/9 - z. Let y be (-9)\/(-12) + v\/(-24). Solve 5*r = -4*u + 12, 2*r + 5*u - 15 = -y*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 f when four letters picked without replacement from eferffffe?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(n\/n**45))*((n\/(n*(n\/n**32)\/n))\/n)\/n)**(-22))**(-5))**(6\/5) assuming n is positive.\nAnswer: n**(-1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - b = 2*b - 7, 4*w - 2*b - 10 = 0. Let j(p) = p**w + 2 + p**2 + 3*p + 6*p. Is j(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = z - 10, 5*a - 2 = -12. Suppose -6*m + 212 = -z*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.578 + -0.028. Let v = -7.09 + l. What is v rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36.3512*0.7.\nAnswer: 25.44584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**3*q - 35*a**3 + 1932*a**2*q - 2*a**2 - 8*a*q - 6330*q wrt a?\nAnswer: 18*a*q - 210*a + 3864*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42040 - 42208.41. Round p to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3*y**2 + 3*a**3 - 133*a**2 + 2*a + 1199339*y**4 - 252 with respect to y.\nAnswer: -4*a**3*y + 4797356*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*k - 4*y = 75*k + 68, 3*k - 5*y - 70 = 0. Let o be -1 + 4\/((-12)\/(-3117)). Let j = 2115\/2 - o. Do j and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3575 and 73775.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 12. Suppose 2*z + 22 = -71*v + 75*v, 24 = -2*v - 4*z. What is the closest to -1 in 3\/7, -2, w, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -189456 + 189460. Suppose -4*f + l + 17 = -3, 28 = 2*f - 5*l. Solve -4*r - 4*w = -f, -w + 17 = r + x*w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -2) + (-46 - -37).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**6\/120 + 2*f**5\/15 - f**4\/24 + 5*f**3\/6 + 27*f**2. Determine m(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100 (base 2) to base 8.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7970*y + 597685. Calculate x(-75).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.53 - -0.47. Let r = i - 8. Let h = 5 + -8. Which is the closest to r? (a) -1 (b) -0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2\/23 - 88068*v\/23 + 969496578\/23 = 0. Calculate v.\nAnswer: 22017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-2 - -3)*1. Let t be d*3\/6 - -4. What is c in 2*c**4 + 2*c**3 - 5*c**2 + 2*c**5 - t*c**3 + 0*c**3 + 3*c**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -19, -70, -165, -316, -535?\nAnswer: -834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 8*v + 16. Is 8 a factor of w(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13562461 by -37.\nAnswer: -366553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3414991 divided by 1\nAnswer: 3414991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -28. Suppose 3*v + 3*a = 6, -4 - 1 = -2*v - 3*a. Suppose v = y - m. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 114505 - 114506. Let z = 218 + -665\/3. Let x = -2 - z. Which is the nearest to y? (a) -3\/5 (b) -0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2) + (-4 - (-10 - (14 + -5)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34691349.\nAnswer: 3, 7, 11, 79, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, i: 7}. What is prob of sequence kii?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23285986 and 361344.\nAnswer: 1882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-12))\/((-6)\/45). Let v be (-1 - 0)*1*-4. Suppose z*l - 41 = v*l. What is the remainder when l is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/90)\/(19544\/(-14658)).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a second in microseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1841.6 from 3.02.\nAnswer: 1844.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*d - f, 11 + 2 = 5*d + 3*f. Suppose 0 = 3*j - 9 - 12. Suppose -5*a + j = u + 3*u, 5*a - u = 17. Solve -d*b - 15 = a*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -36.1, -0.8, 2\/3, 0.14 in increasing order.\nAnswer: -36.1, -4, -0.8, 0.14, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -8*q + 2. Let y(w) = -3*w**2 + 102*w - 21. Let x(m) = 13*a(m) + y(m). Let i(n) = 4*n**2 + n - 4. Give -3*i(p) - 2*x(p).\nAnswer: -6*p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92 - -90. What are the prime factors of 1752\/48*(-20)\/z?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2112 and 29630656?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*y + 57 = 231*y + 4*q, -4*q + 62 = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + k**2 + 4*k**2)*(283*k**3 + 151*k**3 - 348*k**3).\nAnswer: 172*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k - 5*k**3 + 8*k**3 - 2*k**3.\nAnswer: k**3 + 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 35 + 1 + 9 + -63\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -203.\nAnswer: -10\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -977 - -995. Solve z = -20 + r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8124520\/231 not equal to 35171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7069747 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 27*u + 30*u - 110*u + 22*u + 30*u. Let d(g) = 12*g + 4. Give l(d(m)).\nAnswer: -12*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243 = 36*z - 127 + 46 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 740 divide 1443810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*w**2 - 2*w**3 + 3*w + 81*w**2 - 3*w.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -88, -342, -766, -1360, -2124, -3058, -4162?\n\"Answer: -85*u**2 + u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31752 and 294.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 91*y + 45. Give i(-1).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-5)*(-870010)\/64106.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 - 15*u**2 - 5*u + 18. Let j be l(-7). Suppose 13 = -7*c + 8*c - j*x, -5*c + 65 = -x. What is the remainder when c is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -753235 = -282*h - 735187 for h.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -53 in -4, 6\/7, 2\/17, -5\/2, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 981, 972, 963, 954, 945?\nAnswer: 936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + c**3 - 3 + (-4 + 4 - c)*(c**2 + 2*c**2 - c**2) - 4*c + 32263*c**3 + 8 - 32583*c**3 - 2*c**2 - 7.\nAnswer: -321*c**3 - 2*c**2 - 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 3*z. Let q(i) = -24*i**2 - 8*i + 3. Determine -3*p(o) + q(o).\nAnswer: -21*o**2 + o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 3*u**2 + 7*u + 9. Let w be j(-4). Let h(o) = o**2 - o - 1. Let a be 13\/5 + (-4)\/(-10). Let z be h(a). Put 1, z, w in ascending order.\nAnswer: w, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 830767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 158*g**4 + 3*g**3 + 8*g - 3367. Let r(f) = -159*f**4 - 4*f**3 - 13*f + 3370. Let l(h) = -4*n(h) - 3*r(h). Differentiate l(o) wrt o.\nAnswer: -620*o**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -463? (a) -48 (b) -35 (c) 0.15 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1058 + 1705. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -937*d**2 - 216*d**2 + 168*d**2 - 1419*d**2.\nAnswer: -2404*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*x, -5*x - 3 = 3*c - 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62254 or 62921?\nAnswer: 62254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6*18\/21. Let m = -0.07 - -3.07. What is the smallest value in -2\/9, m, g?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*r - 5 = -0, 4*r = -f + 14. Suppose -5 = n - f*n. Solve 2*s - 12 = n*k, 4 = -k + 4*k - 4*s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232158409?\nAnswer: 7, 17, 277, 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k**(-4)\/k))*(k*k**3)\/k)**(-2\/23) assuming k is positive.\nAnswer: k**(4\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 17*p**2 - 14*p - 30. Let u be v(16). Let x be ((-9)\/u*2)\/(1\/77). What is x rounded to the nearest 10?\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3774 less than -162226\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 638 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1316.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101010100011000 + -111?\nAnswer: -11101010100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**2 + 2*x + 6*x**2 + 0*x**2 + 9*x**3 in the form t + o*x**3 + n*x**2 + g*x and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9750, 19497, 29244, 38991?\nAnswer: 48738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550577?\nAnswer: 550577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1632*a + 34444 + 45300 = 2696 - 38824 for a.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f**2 - 2*f**2 + 0*f**2)*(26 + 59 - 4) - f**2 + 10 - 10 to a*f + q*f**2 + p and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 - -4.3. Let s = -1.61 + -42.39. Let f = -44.5 - s. Which is the nearest to 1\/2? (a) q (b) f (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33968 bigger than 33982?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70.2 - -71. Let s = 0.2 + m. What is the nearest to s in 3, -5, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffs when three letters picked without replacement from fffsffffffsfsff?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 0, -9, -28, -63, -120, -205?\n\"Answer: -l**3 + l**2 - 5*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**4\/24 - 15*w**2 + 23. Let b(h) be the second derivative of q(h). Let i(y) = 19*y**2. Calculate b(i(k)).\nAnswer: 19*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 5*l - 456, 22786 = 5*u - 12*l + 8*l + 22416 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5612414 is divided by 2008?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110101111100 (base 2) in base 10?\nAnswer: -15740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*b*l**2 - 25446*b - 2971856*l**2 wrt b?\nAnswer: 17*l**2 - 25446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 93331.64 nanometers in millimeters?\nAnswer: 0.09333164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -16500.\nAnswer: -49500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 14 - 20*l**2)*(-3 + 3 - l).\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.7 + -3. Let n = -97 + 96.37. Let i = 0.53 + n. Which is the nearest to -1? (a) q (b) 1\/7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nineteen quarters of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*q**3 - 16*q**3 - 9*q**3)*(13 - 6 - 7 + 70 + 112) to f*q**3 + b*q + h + d*q**2 and give f.\nAnswer: -8918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37844987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3276*x**4\/5 + 520192*x**3\/5 - 634196*x**2\/5 + 109448*x\/5 + 256 = 0 for x.\nAnswer: -160, -1\/91, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(35\/(-15)) + 7. Suppose b*z - 20*z = 0. Let 0 + 2\/3*o**4 + 4\/3*o + z*o**3 - 2*o**2 = 0. Calculate o.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -4*p - 5*b, -14*b + 18*b - 17 = -5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-10))\/(14\/35). Let i be z*1 + 3\/((-12)\/8). What is the tens digit of i + 18 + (-5 - (0 - 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3)*(m*m**1)\/m*m)**21)**(-47) assuming m is positive.\nAnswer: m**987","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -492*w. Let n be i(5). Let j = -34058876 + 1191974542\/35. Let r = n - j. Find the common denominator of r and -23\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1624.6368 months to decades.\nAnswer: 13.53864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 59*k**2 - 525*k + 24. Determine g(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 6*j**2 + 282*j - 286.\nAnswer: -2*(j - 13)*(j - 1)*(j + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 9 = -4*r - 2*w, -4*r - 4*w - 36 = 0. Let b be (1084\/120)\/(r\/9). Let m = b + 53\/4. Is m != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**3 + 5*v**2 - 2*v - 3. Suppose 15*l = 38 + 7. Let n(q) = -2*q**3 + 5*q**2 - q - 2. Let r(a) = l*u(a) - 4*n(a). What is r(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*i**2 - 69*i**2 + 126*i**2 + 152*i + 0*i**2 - i**2 + 0*i**2 + (-4*i + i + 2*i)*(0*i + 3*i - i) to s*i**2 + w + j*i and give j.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 23*a - 14*a)*(-1 - 2*a**2 + 1) + (3 + 5*a - 6*a - 7)*(-2 + 1 - 6)*(-2*a**2 + 3*a**2 - 2*a**2).\nAnswer: 57*a**3 - 28*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*r + 6. Suppose -r*m = 2*v - 32463, 0 = -3*m + 3*v + 13243 + 6218. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + ((1 - -1) + 2 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*t = -32. Let c = t - -31. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 225*k = -221*k - 40, -5*k = -12 + 2 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.178943 millennia in centuries?\nAnswer: 11.78943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*w**3*x**3 + w**3*x + 238*w**3 + 998*w**2*x**3 + 11*w**2 + w wrt w.\nAnswer: -48*x**3 + 6*x + 1428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 3*n**2 - n + 3. Let i(c) = c**3 + 2*c**2 + c - 2. Let w = 171 - 165. Suppose 6 = 4*z - 10. Determine w*i(j) + z*a(j).\nAnswer: 2*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79 - 35. Let w = -26 + c. Let p = 101 - w. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -1db?\nAnswer: 1dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-606)\/18 + 1\/(-3). Let g be k\/10 - 6\/(-2). Which is the second biggest value? (a) -0.5 (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 + -2150144\nAnswer: -2150174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**2\/7 - 18*h - 840 = 0.\nAnswer: -28, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 682553.\nAnswer: 107, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.444157 litres to millilitres.\nAnswer: 6444.157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36037 + -14813. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/((0 + 1)\/((-4)\/(-6))). Let n(p) = p + 4. Let l(x) be the second derivative of x**3\/3 + 5*x**2\/2 - 16*x. Give g*n(y) - 3*l(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 230*w + 233*w - 135, 4*g + w - 165 = 0. Solve 0 = g*n + 214 + 26 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -2)\/((-1)\/(9 - 3)). Let d(h) = -7*h + h**3 + 2*h + 0 - 7 - a*h**3. Let x(f) = -4*f**3 - 4*f - 6. What is -5*d(j) + 6*x(j)?\nAnswer: j**3 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 50, -10, -124, -310, -586?\nAnswer: -970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14702 (base 8) in base 2?\nAnswer: 1100111000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 7*o**2 - 8*o**2 - 3 + 11 as q*o + p*o**2 + d and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-11)\/10*-2)\/(20\/40))\/((-907)\/(-18140))\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (0 - 9) + 0 + -1 + 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17954, -71883, -161764, -287597?\nAnswer: -449382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(2048) + -1 - (4*sqrt(64)\/sqrt(2) + -4).\nAnswer: -2 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 16. Suppose 11 = -3*a + a - c*r, 0 = 5*a + 4*r + 19. Which is smaller: a or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12567 and 639?\nAnswer: 37701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + (1*sqrt(117)*2*-5)**2)*2.\nAnswer: 23398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/629664 and -145\/66192.\nAnswer: 124043808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 7:49 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6989178273005*s**2 + 23646020*s - 20.\nAnswer: -5*(1182301*s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6208 and 9623176?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 446, 891, 1336?\nAnswer: 1781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9577279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 5*p + 2, 2*p = -5*q + 7*p + 5. Solve 3*l - 3*i + q = -2, -i + 5 = -2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2210*p - 54965. What is s(25)?\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 - 8*u + 6. Let x be m(4). Solve -2*y + x = -0*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1615566, 1615383, 1615200?\nAnswer: 1615017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 113711, 113676, 113641?\n\"Answer: -35*b + 113746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(-1\/11))*r**(2\/5)*r**(9\/5)\/r*r*r**(-3\/38)*r)**0 assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/536 and -103\/13936.\nAnswer: 13936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) - sqrt(768))\/sqrt(4).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 414*v**3 - 616?\nAnswer: 1242*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 11*b + 4*k - 204, 0 = -4*b - 2*k + 198. What is the remainder when 181 is divided by b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 116 and -13?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-four fifths of a meter?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 1256*i + 1258.\nAnswer: -2*(i - 629)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 492 + -496. Which is the second biggest value? (a) 3\/2 (b) t (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzzsxwxzxzswoc. Give prob of sequence ww.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 4\/7, -4\/5, -4\/3.\nAnswer: -4\/3, -4\/5, -1\/8, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 3*i**2 + i - 3. Calculate the remainder when n(4) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -7*p**4\/6 - 3*p**2 + 2*p. What is the first derivative of t(u) wrt u?\nAnswer: -28*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68*g**2 - 6*g + 31*g + g wrt g.\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 167\/21 + -355\/42. What is the fifth smallest value in -3, 1\/3, 2\/9, l, -5\/52?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*f**5\/2 + 111*f**4 - 36*f**3 - 696*f**2 + 264*f + 1008 = 0. Calculate f.\nAnswer: -2, -6\/5, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-5))\/(((-6)\/(-240))\/(-1)). Let i(n) = n**3 - 9*n**2 + 15*n - 5. Let l be i(7). Calculate the highest common divisor of d and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wddddwdd. Give prob of picking 4 d.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-98232)\/212836)\/((-28)\/(-78)).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 85 = 23*i. What is the closest to i in -5, 6, -0.1, 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + 13*h + 13. Let u be i(-10). Suppose -9*q - u = -11. Let x be (-2)\/(-7) - ((-124)\/7 - q). Solve 0 = -5*t + x, d + 4*d - 4*t + 28 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 15*f**2 + 6. Let p = 13 - -2. Let x be v(p). Calculate the highest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(2 - 0\/1). Let c be (-408)\/(-108) + (-2)\/(-9). Let o = 83 - 73. Solve -q - c*q - o = a for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 divided by -281?\nAnswer: -639\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*j - 3*j - w - 7, 4*w - 2 = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 25 = 3*w, 6*w + 20 = 4*w - 4*f. Let v = w + 2. Suppose -c + v = -2*c. Let n(r) = r**2 + 3*r. Give n(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 0) + (-1 - 1). Let n(y) = y**3 - 3*y**2 - y - 1. Let j(b) = -b**3 + b**2 + b. Suppose 4*k - 4 = -16. Give k*j(d) + s*n(d).\nAnswer: 2*d**3 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119152953 to the nearest integer?\nAnswer: 10916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 73 = n, n - 59*a = -55*a - 71 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 148\/3, 0.13, 54, 1\/3, -2 in decreasing order.\nAnswer: 54, 148\/3, 1\/3, 0.13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 384 + -368 - (6 + 21)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(91) - 1*sqrt(91))*-1)\/(sqrt(14)\/sqrt(2)*6*-3) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 382 by -193440.\nAnswer: -191\/96720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(432) + (sqrt(432) - (2 + sqrt(432))))**2*-2 - -6*(-4*((sqrt(432) - (0 + sqrt(432))) + sqrt(432)))**2.\nAnswer: 96*sqrt(3) + 40595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*i*o**2*p**2 + 3253234*i*o**2*p + 5590*i*p**2 + 29995*i - 2 wrt o?\nAnswer: 32*i*o*p**2 + 6506468*i*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.03170023002 and -2.5.\nAnswer: -2.53170023002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 135 (base 7) to base 5\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -13*k**5 - 2182*k**4 + 6966*k**3 - 7676*k**2 + 3247*k - 342 = 0?\nAnswer: -171, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 10. Let d be (2\/3)\/(6\/s). Is -1 - (-4)\/(0 + d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*f - 48*f - f**2 + 5 as g*f + n + c*f**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1664941*d*f**2 - 3135*d*f*g*r + 2*f**2*g*r - 14*f*g + 28*f*r wrt f?\nAnswer: 3329882*d + 4*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 - 1800 - m**3 + 1812 + (m - 3*m + 0*m)*(-2*m**2 - 2*m**2 + 2*m**2).\nAnswer: 3*m**3 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 22.7. What is c rounded to 0 dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 - -8.2. Suppose 6*n - 3*n - 12 = 0. Sort 2, s, n in increasing order.\nAnswer: 2, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2691775, 5383661, 8075547, 10767433, 13459319, 16151205?\n\"Answer: 2691886*i - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203834865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 22*i**2 + i - 19. Let l be y(22). Let g(h) = 6*h - 2*h + 5*h - l - 10*h. Calculate g(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 14*t**2 - 16*t + 9. What is u(15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 458 + -227. Suppose -d*b + 229*b = -54. What is the least common multiple of b and 48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3\/23, 4, -0.4 in increasing order.\nAnswer: -0.4, 3\/23, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*4)\/(14\/7). Let h(l) = 4*l**2 + 4*l**x - 9*l**2. Let q(y) = 6*y. Let u(k) = k. Let r(w) = q(w) - 9*u(w). What is r(h(n))?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*i + 12. Let f(x) = x**2 - 4*x + 7. Let b be f(i). Let q be -2 + 3\/(9\/b). Solve 0 = q*y + 2*y + 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 809462 - -363.771.\nAnswer: 809825.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 74133 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2926 + -17555\/6. Which is the closest to 2? (a) 1 (b) 0.01 (c) 2 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 29183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4904*h**2 - 2032*h + 14. Let a(n) = 1635*n**2 + 678*n - 5. Let y(w) = -14*a(w) - 5*j(w). What is the second derivative of y(v) wrt v?\nAnswer: 3260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8463*z**2 + 4276*z**2 + 4190*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 5*j = -7*f + 32487, f + 2*j = 32473. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 12*d**2 + 31*d + 2. Determine l(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 40 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 613, -0.3, -20 in descending order.\nAnswer: 613, 0.5, -0.3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10011 and 453832?\nAnswer: 1361496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -13205600 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - i + 30. Determine s(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-39)\/x)**(-49) assuming x is positive.\nAnswer: x**1862","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2700019392 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -10*t**2 + 6*t + 1. Let q be k(3). Let j = 136 + -64. Let f = j + q. Is f >= -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -6\/623, -0.7, -29?\nAnswer: -6\/623","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, r: 3, h: 3, i: 1, a: 1}. Give prob of picking 1 i and 3 h.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-548)\/(-822))\/((-1)\/(3\/8))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2 + 11 - (-3 - -3) - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**2 + 68*f**2 - 59*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 11*d - 20. Determine q(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 66, 0.31, 2, -4, -0.4 in ascending order.\nAnswer: -4, -0.4, 0.1, 0.31, 2, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 10:51 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 5)*(-4*q + 2*q + q).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yykk when four letters picked without replacement from {y: 5, k: 7}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, g: 18}. What is prob of sequence gg?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - b1a816?\nAnswer: -b1a81a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 3*x. Let s(g) = g + x*g + 0*g. Let t(c) = 9*c**2. Determine s(t(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 12 + 3 = 0. Suppose 5*t + w*k - 115 = 0, t + k = 10 + 11. What is the remainder when 127 is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -3\/296 (b) -236.9 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49)\/((-3381)\/(-1748)))\/(1\/1*26\/(-39)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -29, -36, -49, -68?\n\"Answer: -3*b**2 + 2*b - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 11074 = 2944. Calculate the highest common factor of k and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -1. Suppose w = 3*f - f. Suppose 5 = -f*l + 20. What is the highest common divisor of l and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347713 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 139 + -693\/5. Let j(x) = x - 1. Let z be j(1). Let h be 1*(z - 1) + 5. What is the third biggest value in h, a, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3960 times 0.4?\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c + 17. What is q(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 83 - -a4?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32020 - -22330?\nAnswer: -3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**4*g**2 + 249432*d**4 + 3*d**2*g**2 + d*g + d + 2625*g**2 - 21 wrt d?\nAnswer: 48*d*g**2 + 5986368*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22164 - 21324. What is the highest common factor of 6440 and c?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 5:02 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, o: 6}. What is prob of picking 2 l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-46)\/(-46))\/((-1)\/7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*b**2*v**3 + b**2*v**2 - 226*b**2 + 3*b*v**4 + 3*v**4 wrt v.\nAnswer: 72*b**2 + 72*b*v + 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 182590 to the nearest one thousand.\nAnswer: 183000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 23 = -4*y. What is the second derivative of -y*j**4 + 1 + 0*j + 2*j - 1 wrt j?\nAnswer: -96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1516?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5039740430 rounded to the nearest 1000000?\nAnswer: -5040000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/13722968 and -113\/40.\nAnswer: 68614840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 189408 and 672.\nAnswer: 1325856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 804*a**2 + 1644*a + 6480.\nAnswer: -3*(a - 4)*(a + 2)*(a + 270)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 2:32 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 11, p: 2}. What is prob of sequence pmm?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 5*q - 3*z + 14 + 7 = -q - 9*z, -130 = -14*q - z for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 11*r**3 + 5*r**2 - 19*r - 89. Give z(-3).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42920, 87321, 131722, 176123, 220524?\nAnswer: 264925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l*n*t - 2*l*n*u - l*t*u + 2*l*u - 2*l - n*t*u + 65*n wrt u.\nAnswer: -2*l*n - l*t + 2*l - n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 7*z - 2*z. Let u be -4*(-5)\/z*4. Let m = 42 - -14. Calculate the greatest common divisor of u and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 792 and 10912.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 3*f + 12, 4*f = -3*i + 3*f + 8. What is the closest to i in 0.5, -4\/3, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**1)**50*((b\/b**(2\/3))\/b)\/(b\/((b\/(b**(1\/7)*b))\/b))*((b**0\/b)\/(b**2*b))**(16\/9) assuming b is positive.\nAnswer: b**(2525\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/17)\/(1\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49317*g**2 + 62*g + 67?\nAnswer: 98634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5 + 26*a**4\/5 - 192*a**3\/5 + 112*a**2\/5 + 224*a\/5 - 96\/5 = 0. What is a?\nAnswer: -6, -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -32*t + 37*t + 19, 4*p = -3*t - 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 0, -25776, -1, -3 in increasing order.\nAnswer: -25776, -3, -2, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1296)*1)\/(((2*sqrt(135))\/sqrt(9))\/sqrt(5)))**2*-6.\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 145*w**2 - 5*w - 1 + 11\/6*w**3 - 1\/12*w**4. Find the first derivative of l(g) wrt g.\nAnswer: -2*g + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.0397235 rounded to three decimal places?\nAnswer: 13.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**5 + 5*b**4 - 41*b**3 + 13*b**2 + 3*b + 29 wrt b.\nAnswer: 120*b**2 + 120*b - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5441 + -5440. Which is the second biggest value? (a) -4\/9 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 14. Let o be (0 + -2)*(-2)\/4. Suppose -4*l + 17 = 3*n - 0, -2*l + n = -o. Solve -v + 13 = -a - 5*v, -4*a + l*v = z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + q = -11511, 2*q = p - 1096 - 1787. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/4))**(-2\/9))**(-20) assuming g is positive.\nAnswer: g**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) 0 (b) 4 (c) 5 (d) -5 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34385 - 105?\nAnswer: -3448a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1973*m**2 - 75 + 9086*m**2 + 3801*m**2 + 75 + 4*m**3.\nAnswer: 4*m**3 + 10914*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 5) to base 9\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265, -528, -791, -1054?\nAnswer: -1317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -17. Let s = -423\/4 - -107. What is the nearest to 2\/5 in -1, t, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 5. Let h = m + -16. Let s = h - -11. Which is smaller: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 4*g**2 + g**2)*(-g - 2*g + 2*g) + 3*g**3 - 3*g**3 + g**3 + 2*g**3 + g**3 - g**3 + (-2*g - g + 0*g)*(2 - 7 - 1 - g**2 - g).\nAnswer: 7*g**3 + 3*g**2 + 18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 9 + 1. Is (r\/12)\/((-2)\/129) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -466021 divided by 5899.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 628196*l - 628197.\nAnswer: (l - 628197)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0.043, 152?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 27 = 11*y. Let s be ((-264)\/9)\/(21\/y - -2). Let x = s - 69. Solve 4 = -3*j + x, 4*b - 3*j + 19 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254*y**3 + 70*y**3 - 172*y**3.\nAnswer: -356*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3504 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5015 - 4887. What is the remainder when k is divided by 78?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 798 = 276*o, -60 = 6*o + o - 3*o - 48 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*c + 2*u, 14 = -c + 4*c - 4*u. Let l(a) = a**3 - 5*a**2 - 3*a - 14. Let m be l(c). Solve -m*t + 4*d = 24, -3*t + 4*d = -4*t + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 47009\/145 - 2\/10. Let j = 336 - x. Calculate the lowest common multiple of 48 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4669145*v**3 + 2219722 wrt v.\nAnswer: 14007435*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 1 = -5*n, -5*n - 15 = -5*d. What is s in 12*s**4 + s**5 - 99*s**2 + 24*s**4 - 216*s + 19*s**3 - 25*s**d - 108 = 0?\nAnswer: -6, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5. Let t(j) = -j**2 + 93*j - 97. Let p(n) = -s(n) + t(n). Determine k, given that p(k) = 0.\nAnswer: 1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*m = -10, -3*f = f - m - 5. Solve f = -5*z - 7 - 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 9*x**2 + 8*x - 1. Let k be p(8). Let r be -9 - -6 - (k + -5). What is the first derivative of r*l - 4 + 6*l**2 - 3*l wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 26, 1, 4, 8\/3?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 291 + -287. Solve -m*l = -7*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-45)\/(-10))\/3 + 3\/6. Let n = 1 - 1. Solve 0 = -v*c - n*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43805.1 times -0.71\nAnswer: -31101.621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3936 divided by -41.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 30 = 216*d - 201*d, -p + 17 = -6*p + 2*d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from {a: 2, v: 1, f: 4, q: 1, r: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i**2 + 27*i**2 - 11*i**2 - 471*i**3 - 10*i**2 as f*i**2 + n*i**3 + t + r*i and give n.\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 4*a. Suppose -2*n + 2 = u - 0*n, 5*n = a. Suppose 378 = 4*f - u*f - k, -2*f = 5*k - 402. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 103113?\nAnswer: 103103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-8 + 16 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11581*s = 11596*s - 240. Put s, -4, -428 in increasing order.\nAnswer: -428, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**6\/120 - 5*u**4\/24 + 5*u**3\/6 + 4*u**2. Let k(q) = -q**3 - 2*q + 2. Let f = 28 - 30. What is f*x(t) + 5*k(t)?\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 49*d**2 - 124*d - 261. What is a(46)?\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/3 and ((-4)\/(-160)*4)\/((-13)\/(-1339)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 - 7. Let h(q) = -q**2 + q + 1. What is 2*h(o) - k(o)?\nAnswer: -5*o**2 + 2*o + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2295)\/(-136))\/(-9))\/(5\/(-4))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 20201*a + 14. Let d be y(-14). What is d rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*d = -8. Suppose a - 5 = 0, 7*s - 4*s + 2*a - 13 = 0. Let g = d - s. Does -2\/21 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 37467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u = 12*u + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 14*r**4 - 2294414*r**3 + 72751030*r**2 + 96674318*r + 21628860 = 0.\nAnswer: -1, -2\/7, 33, 163855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 68*i**2 - 218*i + 1543. What is c(65)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + -0.9. Let c = 5 + l. Let z = 1 - 0. What is the nearest to 1 in -4, c, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 239 - -50. Let n = 606 - p. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2626*r**3 + 2*r**2 + 9*r - 11. What are the prime factors of q(1)?\nAnswer: 2, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 17 + (-55 + 23 - -48).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2680 + 2724. Calculate the remainder when 1186 is divided by s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2945480 divided by 5\nAnswer: 589096","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 1021.0471 - 1021. Round s to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.66804 minus -303105?\nAnswer: 303119.66804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.089 less than 3296.04?\nAnswer: 3295.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.96 - -0.04. Let x = 757.8 - 803. Let k = x - -44.9. Which is greater: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97 - -143. What is the remainder when k is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 0, -2, 0.2, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (1 - 6) + -3 - (2 - -1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-3))\/(1\/39). Suppose p = 5*p - k. Calculate the remainder when p is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 9:49 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 1290, 5122, 12914, 26040, 45874, 73790?\nAnswer: 111162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 6:33 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1594132 is divided by 45541?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/7 (b) 5 (c) 2\/19 (d) -7\/2370 (e) 0 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k. Let s(d) = 4*d - 3. Let h be (-6)\/5 + 2\/10. Let c(r) = -r + 1. Let y(j) = h*s(j) - 3*c(j). Give g(y(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2296*k**4 + 4017*k**2.\nAnswer: 55104*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98962.\nAnswer: 2, 49481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-3)\/(-9))\/((-16)\/(-6) - 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x + 546. Determine t(-64).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 0.3, -0.09, 2\/31?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 863, 2409, 3955?\nAnswer: 5501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j + k + 21, j - 18 = 4*k. Factor 4*h**3 + 5*h**4 - j*h**2 + 8 + 10*h**2 - 4*h - h**4.\nAnswer: 4*(h - 1)**2*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 4 (c) -1\/31 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -714 - 521. What are the prime factors of q*(14\/(-7) + 1)?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, u: 7}. Give prob of sequence up.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2121670 to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/4 - 5*p**3\/2 + 8*p**2 - 8*p.\nAnswer: p*(p - 4)**2*(p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 1 - 5)*(-2*n + 0*n + 5*n)*(-n + 2*n + 0*n) - n**2 + 36*n**2 - 8*n**2 to u*n**2 + z*n + j and give u.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 + 1)*(-2 + 2 - 2) - 5 + 1 + 3)*(3*w**4 - 2*w**4 - 2*w**4) in the form x + v*w**2 + r*w + d*w**4 + i*w**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 375, 749, 1123, 1497?\n\"Answer: 374*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6805 is divided by 6366.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.588 or -29?\nAnswer: 0.588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4)*w\/w**(-1\/9))\/(w**(-2\/5))**(-5\/7) assuming w is positive.\nAnswer: w**(145\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 6*n**2 - 2*n - 6. What is the remainder when 17 is divided by x(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42 - 86) + -308 + 465.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1501691 to the nearest integer?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/(-350)*(-8)\/6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -513?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3 - 2*z**2 + 100*z - 96 = 0. Calculate z.\nAnswer: -8, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-18)\/540*-12)\/(48\/(-15)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 338274?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2315 - 1235. Suppose -161*g + n = -159*g. Is g a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -299837251.76044168456653282 - -0.32044009456653282. Let z = r - -299837249. Let u = 2.44 + z. What is u rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5081076*h - 1693607*h - 1693870*h - 1693600*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 + -9 + (1 + 1 - -4). Suppose 16763 + 13687 = o*x. Round x to the nearest one hundred.\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 89\/125173 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3 - 218*y**2 - 221*y + 438 = 0 for y.\nAnswer: -2, 1, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*j = -2*d + 120, -3*d + 187 = 4*j. What is the remainder when (-1)\/5*-2 + 2574\/d is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**4*z**3 + 32770*v**3 + 82*v**2*z**3 + 60*v*z**3 wrt v?\nAnswer: -48*v*z**3 + 196620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/(-9) - 332\/(-6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1197*c**3*k - 8*c**3 + 181*c**2*g + 4*c**2 + 14*c*g*k**2 - 6*c*g - 8*c*k**2 + 3 wrt k.\nAnswer: 1197*c**3 + 28*c*g*k - 16*c*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -21, -3, 0 in decreasing order.\nAnswer: 4, 0, -1, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 66, 131, 192, 249, 302, 351?\n\"Answer: -2*v**2 + 71*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 1:51 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (2 + 5 + 1 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125939929?\nAnswer: 61, 2064589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2225*k = -4*x + 2224*k + 69, k = 1. Solve x*i = -2*j + 14*i - 15, 5*j + 3*i = -24 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -9*j. Let h(k) = -18*k. Let s(z) = -6*h(z) + 13*n(z). Let r(v) = -4 - 13 - 3 - 2*v + 20. Calculate r(s(o)).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 19 = -4*l, -2 = -2*z - l + 2*l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6011*r - 18 = a - 6010*r, 3*a - 2 = r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4 - 2*a**3 + 0 - 7*a + 1. Let p(b) = 3*b**3 + 10*b - 7. Let f(w) = -5*p(w) - 7*x(w). What is the second derivative of f(l) wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528 - 32 = -20*x. Calculate the highest common divisor of 224 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 9*y**2 - 1\/2*y**3 + 0 + 0*y - 1\/20*y**5 - 1\/4*y**4. Solve t(l) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**5\/30 + 3*o**3\/2 + 46*o**2. Let q(r) be the second derivative of 0*r**2 + 1\/3*r**3 + 0 + 5*r. Calculate q(s(p)).\nAnswer: -4*p**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**4 - 32*i**3 + 288*i**2 + 199. Factor y(m).\nAnswer: 4*m*(m - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 + 153 = 4*s. Suppose -14*x + 10*x + 80 = 5*k, 4*k - 46 = -2*x. Calculate the greatest common factor of s and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + -35?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 + 4 + 14)*(-19*x + 16*x + 0*x**4 - x**4) in the form r + h*x + b*x**3 + g*x**4 + l*x**2 and give g.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-21) - 27\/(-21). Let d(p) = 7*p**3 + 2*p - 2. Let t be d(x). Let f be (t\/3)\/7*6. Solve -v - f*v + 15 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*o**2 - 28*o**3 - 121*o**2.\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 146*o**3 + 29*o**3 + 188*o**3 + o**3 - 3*o**3 + 4*o**3 + (-o + 5*o - 5*o)*(0*o**2 + 3*o**2 + 0*o**2) to p*o + t + r*o**2 + j*o**3 and give j.\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/3)\/(4\/24). Let m = q + -10. Let b = -8 + m. Solve 0 = 3*i - 7*i + 3*v - 28, b = -2*i + 5*v - 28 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-60)*((-75)\/10 - 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -435, -3961, -13679, -32685, -64075, -110945?\n\"Answer: -516*u**3 + 86*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (-1*sqrt(68) + 1 + sqrt(68))*6 + -4*sqrt(119)\/(1*sqrt(7)*-2))*4)**2.\nAnswer: 512*sqrt(17) + 2112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 39*s**2 - 168*s + 172. Calculate f(-43).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 452, 367, 136, -313, -1052, -2153, -3688, -5729?\nAnswer: -8348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 245, 4, 16, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*sqrt(294))\/(sqrt(27)\/sqrt(144)).\nAnswer: -1008*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**2 - 14346*f + 6513576 = 0 for f.\nAnswer: 508, 4274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7924380.\nAnswer: 2, 3, 5, 17, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**3\/3 - k**2\/2 - 3*k - 8. What is r(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (7 - (-1 - (-7 - -7))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, -278, -431, -602, -797, -1022, -1283, -1586?\nAnswer: -1937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2 + sqrt(19) + 1*sqrt(931) + sqrt(19) + 2)**2.\nAnswer: 1537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d + 147. Let s be i(74). Let l(v) = -10*v**2 + v - 1. Give l(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1232 and 1309.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 times -0.316?\nAnswer: -0.05056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**5\/240 + w**4\/48 + 2*w**2 + 3. Let g(z) be the second derivative of o(z). Factor g(u).\nAnswer: -u*(u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 5*g - 113 + 4*g + g.\nAnswer: g - 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a milligram in micrograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11329.\nAnswer: 11329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 12:14 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1403 + 19*q - 29 + 47*q + 8*q + 795.\nAnswer: 74*q + 2169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 0)\/6 - 15\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130889 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -7*g**2 - 4*g - 3. Let i(l) = l + 1. Let n(o) = 4*i(o) + u(o). Suppose -3 - 5 = -8*h. Calculate n(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 16. Suppose a*q + 1 = 26. Let y(f) = -f**2 + 3*f - 2. Give y(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**15*f**(-6\/11))**(-9) assuming f is positive.\nAnswer: f**(-1530\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 25226.36nm?\nAnswer: 0.00000002522636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 276 = -65*i, 926*i - 2*g - 20 = 927*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from {q: 1, i: 2, o: 1, x: 2, r: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + (3 + ((sqrt(133) - (sqrt(133) - (2*((sqrt(133)*3 - sqrt(133)) + sqrt(133)) - sqrt(133)))) + sqrt(133))\/((sqrt(84) + sqrt(84)*-3)\/sqrt(12)))*-5.\nAnswer: -10 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 5*s**7\/14 - 5*s**3\/2 + 6*s. Find the second derivative of i(m) wrt m.\nAnswer: 300*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 9*a**4 - 4*a + 436. What is the derivative of r(o) wrt o?\nAnswer: 108*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 6*l - 220. Let u be (-473)\/l*-9*2. Suppose 0*p + 3*n = -3*p + u, 2*p + n = 262. List the prime factors of p.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + 43. Let l be -6 + y + -1 + -2. Let g = l - -62. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2252610304 to the power of 1\/2, to the nearest integer?\nAnswer: 47462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3586, 3594, 3608, 3628, 3654, 3686?\n\"Answer: 3*q**2 - q + 3584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*x**2 + 51*x**2 - 103*x**2 as o*x**2 + g + t*x and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 120 - 305. Let w = b + 188. Solve j + 1 = w*k - 0*j, -k + 2*j - 3 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-600))\/(18\/(-10) + 2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9833, 20155, 30477, 40799?\n\"Answer: 10322*g - 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6784 + -3565. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -406, -816, -1240, -1684, -2154, -2656, -3196?\nAnswer: -3780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 4 - 1. Let f(l) = -l**3 - 4*l**2 + 3*l. Calculate the remainder when 19 is divided by f(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w**(1\/9)\/w))\/w)\/w)\/w**20)\/(w**(-3)*w*w**19\/w) assuming w is positive.\nAnswer: w**(-325\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/((235\/470)\/(3\/(-60))).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 639755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = z + 6, -937 + 942 = -5*w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2453 divided by -11\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 9:08 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -2) + 10 + -6 + -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v*v*(v*v**6\/v)\/v)\/(v**4*v))\/(v**(-1\/3)*v)**(1\/3) assuming v is positive.\nAnswer: v**(34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7565, 7980, 8395, 8810, 9225?\n\"Answer: 415*g + 7150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 9*l**2 - 11*l + 7. Let o(m) = -4*m - 57. Let a(y) = 4*y + 54. Let q(w) = 6*a(w) + 5*o(w). Let c be q(-8). What is x(c)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -143*u + 2291. Calculate w(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/(-2) - 24\/48. Suppose -s*q = -0*q + 309600. What is q rounded to the nearest one thousand?\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.005 + -5.995. Let z = 9.4 + -0.4. Let a = o + z. What is the closest to -3 in a, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = 3*j + 5*p - 31, -2 = 3*j - 4*p for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 643, 1973, 4191, 7297, 11291?\nAnswer: 16173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c**(-2\/15)*c)*c)**(-4\/3))**(1\/12))**(-29))**15 assuming c is positive.\nAnswer: c**(493\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k. Let y(n) = -2476*n**2 - 619*n. Calculate -619*f(g) - y(g).\nAnswer: 2476*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48\/7, 3, 0.73, 0.1 in descending order.\nAnswer: 3, 0.73, 0.1, -48\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37230654 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*n**2 - 3 + 0*n**4 + 171*n**2 - 63*n**2 + 9*n + 4*n**4 to i*n + d*n**2 + w*n**4 + h*n**3 + o and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 60*k**2 - 646*k + 958. Calculate m(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -130 - -4?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 128779157*a**3 + 104429656*a wrt a.\nAnswer: 772674942*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -20, 2, -59 in descending order.\nAnswer: 2, 1, -20, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10192 and 88088.\nAnswer: 1233232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2aa04 (base 12) to base 9\nAnswer: 101514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**4\/12 + 41*h**3\/6 - 209*h**2 + 178*h. Let a be s(19). Factor 3\/4*l**3 - 3\/4*l**4 + a + 1\/4*l**5 - 1\/4*l**2 + 0*l.\nAnswer: l**2*(l - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccd when three letters picked without replacement from {c: 2, d: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - 705 + 745 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -88*h - 18. Let n(i) = -88*i - 21. Let m(t) = 6*n(t) - 7*p(t). Let f(g) = g**2. Give m(f(y)).\nAnswer: 88*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94163*u**3 + 608077*u.\nAnswer: -564978*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1550532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2542351841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70432*b - 68024*b + 77056 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000 (base 2) in base 4?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16210233 (base 9) to base 4\nAnswer: -132320223102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r + 5. Suppose -5*u = c - 1, 3*u = 5*u. Let w = 4 + c. Suppose 5*o - 2*x + 2 = -32, -3*o - 5*x - 8 = 0. Let m(a) = -2*a + 6. Give o*t(y) + w*m(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 5) in base 10?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8885 is divided by 2214.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a millimeter in micrometers?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -54, -195, -422, -735, -1134?\n\"Answer: -43*i**2 - 12*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32.4 - 32.4. What is the second biggest value in -25, a, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7217621 (base 8) in base 10?\nAnswer: -1908625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8 = 1. Suppose -l*g + 216 = -7*g. Let q be (g\/(-5))\/((-6)\/(-20)). Calculate the greatest common divisor of q and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -286 + 287. What is the hundreds digit of (b + 0)*548 + -17 + 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**8\/112 + 5*u**4\/12 + 4*u**2 + 9. Let p(w) be the second derivative of s(w). What is the second derivative of p(y) wrt y?\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 + -42. Suppose 2*p + 4*m = f*m - 106, 4*p = m - 197. Round p to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 24*d**2 - 5*d - 5. Let x(a) = -35*a**2 + 7*a + 7. Let o(c) = -7*w(c) - 5*x(c). Let q(r) = -19*r. Determine q(o(h)).\nAnswer: -133*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1248\/(-3328))\/(-1 + 2 + 2)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -101001420 (base 7) to base 5\nAnswer: -3001224003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 4*l**2 - 5*l - 4. Let a(q) = 3*q**3 + 11*q**2 - 15*q - 11. Calculate -4*a(s) + 11*d(s).\nAnswer: -s**3 + 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -3*c + b, 2*c + 3*c = 2*b + 78. What is the least common multiple of c and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + (5 - -1))\/(-2). Put 0, 2, h in decreasing order.\nAnswer: 2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/15)\/(18\/600*-4*5).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371049034 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 - 111 - (1 - 8 - 15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2232301232120 + 2?\nAnswer: -2232301232112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65*n**5 + n**2 + 44 wrt n.\nAnswer: -3900*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t - 47*t + 22*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604 a factor of 1747437700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34668 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 18 - 6. Suppose f*c - 8*c = -2172. Let j = -184 + c. What are the prime factors of j?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 15. Let v be i(12). Let k be (-4 + (-66)\/(-21))\/(v\/1281). Suppose 3475 = z + k. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11616.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1661443 - 3161*y**3 - 1661458 + 470*y**3 + 5*y**2 + 13*y wrt y?\nAnswer: -16146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4371*y**4 + y - 3*y - y - 951 - 631 + 4*y wrt y?\nAnswer: 52452*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -336.23 and -0.26?\nAnswer: 87.4198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o - 3. Is b(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 4:22 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10365 - 89.199.\nAnswer: 10275.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -1. Put -2, x, 0 in ascending order.\nAnswer: -2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-234*x - 177*x**3 + 234*x)*(3 + 2 - 3)*(-2*x + 2*x**2 + 2*x).\nAnswer: -708*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1528451 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -90 divided by -18\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1323.1 - 1323. Let h = -22 - -28. Let k = h - 7. Sort k, 6, q in ascending order.\nAnswer: k, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19721480747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) 36\/13 (c) 0.5 (d) -72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 125 = 90. Let o = c - 42. Solve 3*q - 13 + o = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11488758847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 496129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/20 of a millennium?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9942, 9948, 9958, 9972, 9990?\nAnswer: 10012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/8*-3*(-4)\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/6 - (-3 - -1). Let c = 0.29 + 12.71. Let g = 13 - c. What is the biggest value in a, g, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**4 + 2*z**2 + 3*z - 108 - z - z**3 - 110 + 217 to the form g*z**3 + a*z**2 + s*z**4 + u*z + n and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -558400 rounded to the nearest 1000?\nAnswer: -558000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3*((sqrt(80)\/(2*sqrt(8)*2))\/((-2*sqrt(64))\/sqrt(2)))**2)*-5.\nAnswer: -20555\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (216\/3344)\/(13\/30). Let k = n + 1\/209. What is the third smallest value in k, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.2 and -652.6919064094.\nAnswer: -649.4919064094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38211?\nAnswer: 3, 47, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -20*h + 3. Suppose -4*k = 2*a + 2, -8 = a - 2*k - 3. What is b(a)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 560 divide 12197360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -102, -53, 16?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 5*k - 73 - 26, -r - 4*k = -12. What is the highest common divisor of 19552 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 230301024 to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -107941\/18 + 5989. Let r be 4*(-4)\/(16\/55). Find the common denominator of 3\/12*50\/r and u.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -184103, -2, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*z - 46088 = -103*z. What are the prime factors of z?\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 - -1) + -6588 - 6. Round j to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**5\/300 - 557*q**4\/60 - 310249*q**3\/30 + 1746*q**2. Factor n(z).\nAnswer: -(z + 557)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130486835.\nAnswer: 5, 2459, 10613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 + 0.41. Let d = 0.2181 - 0.1181. Sort f, 15, 3, d in ascending order.\nAnswer: d, f, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - -4 - -25 - 31\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*f**2 + 6 - 16*f**2 + 7 to the form c*f + s + l*f**2 and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -298 - -301. What is the closest to 10 in n, 0, -1, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3384871 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 + -20. Suppose u = -u + j. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3352617 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1884*m = -46961 + 7397 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.39, 5.7, -4, 2\/11 in ascending order.\nAnswer: -4, 2\/11, 0.39, 1, 5.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.047476696 + -0.43987\nAnswer: -0.487346696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*k**4 - 190232*k**3 - 1005080160*k**2 - 1769052066600*k + 4133262675500 = 0. What is k?\nAnswer: -5285, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h + 149 - 5*h + 0*h.\nAnswer: -2*h + 149","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 128 (c) 4 (d) -185 (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 26 = t, 4*t - t + 88 = -4*r. Let j = -22 - t. What is the smallest common multiple of (-75)\/(-6)*(-8)\/(-10) and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1985088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2*6\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in 0, 121, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)*c)**31\/(c*c\/((c**(-1\/5)\/c)\/c)*c*c)**(-2\/39) assuming c is positive.\nAnswer: c**(-24118\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**6\/120 + m**5\/10 + m**4\/4 - m**3\/6 + 2*m**2. Suppose -3*r + r = -8. Suppose 2*o - r = 10. Calculate j(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 162*v - 277 wrt v.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*(h\/(h*h\/h**(-42)))\/h)\/h*h*h**2*(h*h*h**(2\/11)\/h)**4 assuming h is positive.\nAnswer: h**(-388\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33210641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2464.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7*d**5 + 5*d**4 + 5*d**3 + 14*d + 5. Let g(k) = -k**4 - k**3 - 1. Let h(z) = 5*g(z) + i(z). Find the second derivative of h(u) wrt u.\nAnswer: 140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.33 + -0.93. What is the nearest to 1 in -2\/21, 0.8, c?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + -4 + 14 - 6. Let b(p) = p**2 + 11*p + 9. Let d be b(f). Is -2 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1522519.81 rounded to the nearest ten thousand?\nAnswer: -1520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38835 - 38831. Suppose 0 = -2*m + 4*n + 4, 2*n - 10 = -5*m - 2*n. Solve z = m*z - u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -0.9. Put -3\/7, -2\/13, l in decreasing order.\nAnswer: -2\/13, -3\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**3 - v - 2. Let x be k(2). Suppose -46 - 39 + 112 = 9*b. Solve x = 4*p - b*r + 8, 4*r = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16*120.596\nAnswer: 19.29536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12\/871 + -41081\/10452. What is the common denominator of c and (-1195)\/225 - (-2)\/10?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 39*6 + 0\/7. Let a = -53 + j. Suppose 4*q - 207 = a. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.5079717 and 0.\nAnswer: 4.5079717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g**5 + g**4*w - g**3*w + g**2*w - 116 wrt g?\nAnswer: -420*g**2 + 24*g*w - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 5*p + 18 = 0, p - 17 + 3 = 5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 9*h**5 + 6*h**2 - 4*h**2 - 6*h**5 + 7 + 0*h**5. Find the second derivative of y(f) wrt f.\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 299 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3218583 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**4\/4 + 2*p**3\/3 + 11*p**2\/2 + 23*p + 149. Let u be n(5). Solve 6*w = w - q - 16, 4*w = -u*q - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33735 and 12165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhy. Give prob of sequence hyy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 2. Suppose 2*m - 36 = -h*m. Suppose m*o - 2*o - 112 = 0. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + n - 5 = 0, 6*b - 2*b - n = 25. Let h(q) = -2*q**2 + 43*q - 10. Let d be h(19). Suppose 2*p + 5 = d. What is the remainder when p is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45704 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -115, 2, 2\/5, -4645?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.052, 10, -2\/17, 1\/5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*l + 37*l + 122*l - 6912 = 0 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(42\/(-10) - -4). Suppose -2*p - 3*p = -u. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (71 + -64 - (2 - -5)) + 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 131761*m**2 - 135443*m**2 + 2 to i*m**2 + n*m + z and give i.\nAnswer: -3682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.047842793 rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3732 and 39414.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/60 and -76\/291.\nAnswer: 5820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**6\/40 + s**4\/8 + 3*s**2\/2 + 2*s. Let a(z) be the first derivative of p(z). What is the second derivative of a(w) wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -732 + -880?\nAnswer: -11b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12 + 10*p - 3*p + 0*p + 9*p wrt p.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 78 + -84 + 3 + -23.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, c: 2, j: 1}. Give prob of picking 1 n and 1 j.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 10*o**2 - 10*o + 61. Let a be d(4). What is the highest common divisor of a and 741?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.313 + -18.687. Which is the closest to 0.1? (a) -0.2 (b) -4 (c) w (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4805 = -12*t + 3247. What are the prime factors of t?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12439694147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 260, 253, 246, 239, 232, 225?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/4 + 9260*i + 37039\/4.\nAnswer: (i + 1)*(i + 37039)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1248*w**4 - 1517*w.\nAnswer: 14976*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 45933, 91977, 138021, 184065?\n\"Answer: 46044*l - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 10 = 4*z. Let q be (-2)\/10 + (-4)\/(-20). Solve 2*j + z*j + 12 = q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/1 + 1 - -4 - 186. Let t = d - -907\/5. Which is the closest to t? (a) 3\/2 (b) -1\/15 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2069780 divided by -47.\nAnswer: -2069780\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttn when three letters picked without replacement from npnpptnnnntptn?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -5*c**2 + 5065*c - 739860 = 0.\nAnswer: 177, 836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5555 divided by 11.\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/((-2)\/(8\/(-6))). Let s be -3 - (0 + -10) - r. Suppose 5*c - 4*z - 1526 = -185, 0 = -s*c + 3*z + 807. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + -4. Let f be 2 + 1 - 3*i. What is the highest common factor of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 4, 4\/9, 27?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - n = 20 - 3, -3 = 12*n - 9*n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -28947*j + 428. Is 241 a factor of y(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 9 - (-134)\/14?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -31. Let g be 74\/14 + h\/(-35). Suppose -g*a - 3*w + 25 = -3*a, -3*a + 2*w + 18 = 0. Is 7 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvvv when four letters picked without replacement from {r: 1, i: 1, c: 6, v: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/6177 or 0?\nAnswer: -2\/6177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3*j + 3, -1 = 2*j - 3*j. Let i = -18 + 20. Solve h*b = i*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 773346?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 147*x**2 - 326*x**2 + 22 - 7 + 182*x**2.\nAnswer: 3*x**2 + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.70051 rounded to 3 dps?\nAnswer: 0.701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4864 (base 11) in base 13?\nAnswer: 2b85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 0*s + 1\/2*s**2 + 4. Let j(a) = 2*a - 18*a + 2*a. Give j(y(v)).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(570\/76 + 2\/4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 2 (c) 0.5 (d) 40 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 744637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -314368*c**3 + 4187*c**2 + 23.\nAnswer: -1886208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 3*k**2 - 4*k + 5. Let n be (2 + -1)\/(1\/11). Let l = 15 - n. Calculate the remainder when q(4) is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7248677*j**3 + 2335010 with respect to j.\nAnswer: -21746031*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20359773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -11*v + 3 - 7*v - 2. Is w(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 4 = q - 8, -4*q = -3*m + 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 8*y. Let w be (27\/(-15))\/((-3)\/10). Let a be -2 + -1 + w + -3. Let d(o) = o + a*o + o + 0*o. Calculate u(d(s)).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-301)\/(-23) - 160\/1840?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27697.49753 rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 1:19 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5925725?\nAnswer: 5, 13, 18233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67588?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 316*c**3 - 31)*(0 - 2 + 0).\nAnswer: 632*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*s**2 + 11*s**3 - 226*s**2 - 239*s**2 + 698*s**2.\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4310*m**3*q + 5752*m**3 + m**2*q - m*q wrt q.\nAnswer: -4310*m**3 + m**2 - m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.55, 1\/3, 24?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -31, -39, -41, -37, -27, -11?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 21*f - 21. What is s(2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 10:31 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnzboonbonnbou. Give prob of sequence nbon.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -13. Suppose -n - 2*q - 24 = -v*n, -5*n - 5*q = -10. Let l(y) = y**2 - 3*y + 3. Give l(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-14)\/8)\/(4774\/(-4092)))\/(6\/20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297*d**3 + 1307*d**3 + 1240*d**3.\nAnswer: 2250*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897467491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -160, 6, 24 in descending order.\nAnswer: 24, 6, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2957*d**2 + 17*d + 1888. Let y(a) = -2959*a**2 + 14*a + 1886. Let w(c) = 5*k(c) - 6*y(c). Find the first derivative of w(u) wrt u.\nAnswer: 5938*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17244340909964 minus 1.7?\nAnswer: 17244340909962.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 215604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -2*p**7\/21 - 5*p**4\/6 - 7*p. Find the third derivative of i(w) wrt w.\nAnswer: -240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q - 6. Let y be s(-4). Let l be 8\/y*3 + -7. Let j(t) = -t**2 - 4*t + 1. Let r be j(l). Solve 5*k = i - r*i - 9, 5*i = -4*k - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8*m**3 + 4*m**2 + 3*m + 3. Let r(a) = 9*a**3 - 5*a**2 - 4*a - 4. Give 3*r(c) + 4*y(c).\nAnswer: -5*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20579747.\nAnswer: 20579747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 14*t - 16. Let n be p(13). Let f(d) = -8*d - 4. List the prime factors of f(n).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**2 - 4 + z**2 + 3*z**2 - 5*z. Let q be 12\/(-5)*55\/(-22). List the prime factors of r(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6*v - 7*v = 5, 0 = -4*g - 4*v - 8. Put g, 30, -2 in decreasing order.\nAnswer: 30, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -4 (c) -2\/3 (d) 2.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, 1, -0.03, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(0 + 2) + -1*1. Solve y + 3 = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9045025 is divided by 40?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -11. Let u = 2 + l. Suppose u*k - 59 = -2*i - 11, -5*k - 40 = -3*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*v + 47624 = 285*v - 8444 for v.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/9*2*(-50)\/((-2000)\/90)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 169*q**2 - 10*q + 4. Let r(l) = -161*l**2 + 9*l - 3. Determine 3*m(y) + 4*r(y).\nAnswer: -137*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 2\/(-2) - 13 - -43812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 672974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/20 and (-63)\/7938*981\/(-903).\nAnswer: 126420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36779600 + -4?\nAnswer: -36779604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 2*m = -11, -z + 38*m = 33*m + 13 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**2 - 127105120*h = 0. Calculate h.\nAnswer: -25421024, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3104 - -3116. Which is the nearest to -1\/5? (a) 0.4 (b) -1\/10 (c) 1 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 - -118. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68957608685*h - 137915217357*h + 68957608678*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -77*t + 5. Let j(x) = -4002*x + 261. Give -5*j(k) + 261*l(k).\nAnswer: -87*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/71 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + 40\/48 + 3. What is the nearest to 6 in -2, b, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - (2 + (sqrt(612) - (sqrt(612) + -2)))) + 1 - (-3*-3*sqrt(612) + 3))**2*4*-2.\nAnswer: -313632 - 4608*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 15. Let x be f(-11). Suppose s = x*s - 183. Let q = -31 + s. What is the greatest common factor of q and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c**(12\/5))*((c*(c**23\/c)\/c)\/c)\/c*c**(-6\/7)\/(c*c\/c**(-3\/26)) assuming c is positive.\nAnswer: c**(13311\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 5*k - 15, -2*l + 667 = -5*k + 710 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/5)\/((-102)\/2465))\/(5*12\/(-40))?\nAnswer: -58\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 6:15 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2))**(-1\/5)\/((c*c**(-4)*c*c*c)\/c**1))\/(c**(-5\/3)\/c*c*c**1*c*(c*c\/(c\/c**(-1\/5)*c))**(-19\/2)) assuming c is positive.\nAnswer: c**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/59, 11, -0.09 in descending order.\nAnswer: 11, 0.3, 2\/59, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1\/49, -205.5, 0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (-309 + 288 - (-1 - 55))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**3\/6 + 33*t. Let r(z) = -2*z**2 - 5*z**2 + 4*z**2. Give r(s(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**5\/7 + 1000*c**3\/7 + 3840*c**2\/7 - 3968*c\/7 - 15360\/7 = 0. Calculate c.\nAnswer: -20, -4, -2, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymc. What is prob of sequence my?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r - r**2 - 2*r + 2*r**2. Let j be n(8). What is the smallest value in j, 0.2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -12*b + 22*b. Solve 0 = -3*x + v + 1, -9 = -2*x + 2*v - b*v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 1389*v + 9668. Give g(7).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 494 - 838 = 0. Let w = q - -529. Let o be (14\/(-4))\/((-2)\/16). Calculate the greatest common divisor of o and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -40, 2, -93 in descending order.\nAnswer: 2, 0, -4, -40, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 7)\/3 + 5. Suppose 4 = -2*o + 2*p, -13 + 0 = l*o + p. Is o < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 717 in ascending order.\nAnswer: 4, 5, 717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.04 less than -132?\nAnswer: -126.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(6\/12)\/(4\/2). Is -2\/629 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-843)\/1686)\/((-26)\/(-4)). Sort 423, -1\/11, f.\nAnswer: -1\/11, f, 423","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3\/17 + 21076*h**2\/17 - 84328*h\/17 + 84336\/17 = 0.\nAnswer: -10542, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 101053 - -1?\nAnswer: 101054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 67*z**3\/6 + 6*z**2 + 70*z. Let u(i) = i**3 + 4*i**2 - 7*i - 7. Let v be u(-5). Is k(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 - -46. Let p(y) = y - 2. Let b be p(c). Solve 2*m = 5*f + m - 18, -5*f + b*m = -10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*j + 418 + 316, -2*h - 296 = 4*j. Which is smaller: -145 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9\/2 + -17\/4. Let s(n) be the first derivative of 1\/2*n**2 + 2\/3*n**3 + h*n**4 - 13 + 0*n. Determine s(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 64134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1))**(-1\/24)*(i**(-1)*i)**(-46))**(-7\/5) assuming i is positive.\nAnswer: i**(7\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/3 of a year in months?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/40 in 1, 2\/9, -0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 2*b + 20, 5*z - 5*b = -0*b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - s**2 - 2*s + 2. Let m be z(3). Suppose 5*t - m = 2*y - 4*y, -2*t + 3*y = 2. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 791*y - 4438. Is u(49) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6874, -6879, -6886, -6895, -6906, -6919, -6934?\n\"Answer: -b**2 - 2*b - 6871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 1)*-2 + -5)**2.\nAnswer: 28*sqrt(13) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23113764?\nAnswer: 2, 3, 642049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mu when two letters picked without replacement from {r: 5, b: 1, u: 5, x: 2, m: 3}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*w**3 + 9*w + 1 wrt w.\nAnswer: 324*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 596 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 989896092 a multiple of 15486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1512 and 21\/4.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -149252.54 + -684.46. Let t = o - -149937.17001025. Let x = t - 0.17. Round x to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/1)\/(-6 + 4). Let m be (-11)\/(-2)*(-8 + v). Let s = 52 + m. Calculate the remainder when 63 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, p: 1, n: 1, w: 1}. What is prob of sequence nnp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, 2163.\nAnswer: 3, 9, 2163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 92 - 75. Solve -14*v = -a*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5649 is divided by 1405?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*d**3 - 15404*d + 15404*d.\nAnswer: 121*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 3205 and 22444\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**4\/4 - 5*l**3\/3 + 3*l**2\/2 + l - 13. Give t(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 - -57. What is the closest to f in -0.5, -3\/5, 0.09?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**2 + 7*b + 59. Let f(y) = -y**2 + y - 1. Give 5*f(s) - h(s).\nAnswer: -s**2 - 2*s - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y + 173 = 11*y - 34*y. What is the remainder when y is divided by 32?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 102 = 4*o, -2*o - 3*z = -2*z - 41. Suppose 0 = s - 2*s + 5*v - 11, -5*s + 2*v = 32. Let n = o - s. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - f**2 - 8*f - 56. What is the lowest common multiple of z(6) and 12?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6 + (5 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by (-2 - (-6)\/(-2)) + (113 - 47)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnhfxbkn. Give prob of sequence knh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 142716 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25863 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 1)\/((-6)\/(-87)). Let y = v + 547\/38. Let i be ((-1)\/(-3))\/(12\/(-9)). What is the second smallest value in y, i, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -67*g + 0 + 1\/20*g**5 - 1\/6*g**4 + g**2 - 1\/6*g**3. Give n(-3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101050867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -2*l - 12, 446*o - 442*o + 104 = -15*l for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2379 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6790.9 centimeters?\nAnswer: 67909000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l - 4 + 4 - 21*l - 262 + 262 + (1 - 3 + 3)*(l + 2*l - 2*l) - 4*l + 3*l + 4*l to u + n*l and give n.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -156590 times -18?\nAnswer: 2818620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 68325458 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-13507)\/(-52))\/(((-3)\/42)\/(16\/(-28)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/7)\/((-42343)\/1127 + 39)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04 > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 993024 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -577176 - 10.\nAnswer: -577186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/124259 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/((-15)\/6) + -2. Let q(n) = -n**2 + 9*n + 1. Let g be q(8). Suppose -g = -b - 7. Solve j = -5*s - v + 3, -s + 6 = 2*s + b*v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/3 + 89470*m**2\/3 - 999938750*m\/3 - 5006406250.\nAnswer: -2*(m - 22375)**2*(m + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2400 and 255.\nAnswer: 40800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 557*y**2 - y + 1. Let f(s) = -s + 4. Let q be f(3). Let z be 45\/75 + (q - 6\/10). Is p(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8236)\/(-80) + -84 - (-3)\/(-15).\nAnswer: 75\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -96, -0.4, 1\/2, 0.4955?\nAnswer: 0.4955","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(68))\/sqrt(4) + -3 + sqrt(17) + -2 - (sqrt(1088) + (sqrt(1088) - (sqrt(1088) - -2*sqrt(1088)*-6)) + 1))**2.\nAnswer: 1224*sqrt(17) + 176904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5255773388 a multiple of 308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 1, -0.4, 2496?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from enjytnmt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**1*r)**(6\/11))**(-4\/21) assuming r is positive.\nAnswer: r**(-32\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1996 = 2*g, -2*g = -0*o + 3*o - 1997. What are the prime factors of g?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -246657 divided by -9\nAnswer: 82219\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517041621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 2*t**2 + 8*t - 5. Give j(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -244256306 and -159.068.\nAnswer: -244256465.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 5*m - 20, 15*z - 10 = 12*z + 2*m. Suppose -1410 = -z*f - 2*c, -f + 517 = 4*c - 182. What are the prime factors of f?\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/((12\/42)\/(2\/7)). Suppose -3*k - 2*g + 4 = 0, 0*k = 3*k - 3*g - x. Solve k*y = -0 + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 v when two letters picked without replacement from ikkiokkilov?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -5*z - 5, -11 + 47 = 13*z - 13*z + 6*x for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**6\/60 - 3*s**5\/40 + s**4\/8 - s**3\/12 - 2*s + 9. Find w, given that x(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 9*z + 2. Let h be s(9). Let i(q) be the second derivative of -2*q + q**2 + q**4 - q**h. Let m(l) = -l**2. Determine i(m(j)).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37395 and 1062849?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 11:00 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -109*n**4\/24 + n**3\/3 - n**2 - 11*n. Is 22 a factor of b(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/318 in -2, -196, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 243270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = j - 6*j - 14, 5*j = -4*w - 2. Let k = 1 - 2. Let o = 1 - k. What is the third smallest value in o, -5, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 23*r - 24 = 0. What is m in -4\/5*m**r + 0 + 2*m**5 - 8\/5*m + 32\/5*m**2 - 6*m**3 = 0?\nAnswer: -2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 15709 = 2*g + 5441, 2*g + 7054 = h. What is the thousands digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -571 (base 13) to base 16.\nAnswer: -3a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j - 10. Let b be -1 - 1 - (-1 + 6). Let i be f(b). Suppose 3*w = -4*u + 62, -4*u + i*w + 25 = -3*u. What are the prime factors of u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 8*a + 4*s + 83, -5*a = 5*s - 190. Let b be 45 + -4 - (-1)\/1. Is b at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/25)*y**(-13))\/(y\/(y**(-20)\/y)*y*(y\/y**7)\/y*y))**(23\/2) assuming y is positive.\nAnswer: y**(-17273\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 85915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 18*g**2 - 96*g + 835. Let h be u(30). Is h smaller than 14155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, m: 2, i: 1, p: 1, n: 1, u: 1}. Give prob of sequence lmn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 10*m + 8. Let j be x(-7). Let u be -3*((-46)\/(-6) + -2). Let l = u + j. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4418)\/752)\/(-47)*(-5)\/(455\/8)\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 654 = 5*w, 345*s - 1294 = 341*s + 3*w. Solve 349*r - 108 = s*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95 + -47. Suppose -r + 3*p = -168 - 300, r - 476 = p. Calculate the highest common divisor of u and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.492 + -0.492. Let v = 0.4 + -1.4. Let r = 2 + v. Which is the third biggest value? (a) y (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1216) + 0)*-1 - sqrt(1216)) + sqrt(1216) + sqrt(1216) + sqrt(1216)*2 + 0 - (6*(sqrt(1216) - -2*sqrt(1216)) - (5 + sqrt(1216)*3)))**2.\nAnswer: -1040*sqrt(19) + 205529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62565, -62470, -62319, -62118, -61873, -61590, -61275, -60934?\nAnswer: -60573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 384*a**2. Let l(n) = 28*n**2 - 3*n. What is l(w(i))?\nAnswer: 4128768*i**4 - 1152*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -422593, -845119, -1267645, -1690171, -2112697, -2535223?\nAnswer: -2957749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5887073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 + 5. Let m = c - -45. Suppose -2*l - l = 12. What is the closest to m in -3, -5, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q + 9774010 = -29*q - 5*s, 0 = -4*q - 5*s + 7819190. Suppose 10*o = -q - 131200. What is o rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23043 + 2?\nAnswer: -23041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 195632 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 times -3781?\nAnswer: 680.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9985 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 17*t - 823. Let g be y(-17). Do g and -4164\/17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.311719 rounded to three decimal places?\nAnswer: -2.312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/6 + 1\/(-6). What is the remainder when 25 is divided by 14\/6*(3 + g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-108))\/(9\/30)*((-11524)\/335)\/86.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - 3*(-3 - -5). Let d be (8\/(-24))\/((-1)\/s). Let i(x) be the second derivative of x**3\/2 - 2*x. What is i(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 167000916 and 1416?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-8))\/((-5)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121001021122 - 200?\nAnswer: -1121001022022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-174)\/(-21) - 6)\/(22\/7 - 3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + d1d?\nAnswer: d22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -164, 4.\nAnswer: -164, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*1*(sqrt(85) + 1*sqrt(85)))\/((sqrt(900)*1)\/sqrt(5)).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 16, o: 1}.\nAnswer: 14\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1622, -1674, -1754, -1862?\nAnswer: -1998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41495 and 9245?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i**2 + 3*i - 3*i + (-2 + 2 + 2*i)*(2*i - 2 + 2))*(0*i + 0*i + i) to d*i + j + p*i**2 + l*i**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -794 by 93220.\nAnswer: -397\/46610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*l + 12, 0 = -3*q + 2*l - 12 - 35. Let p = 9 + q. Is 3 a factor of 4\/1 - p*(-2)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c**3 + c**2 - 29*c - 122. Let k be t(-6). Which is bigger: k or 0.03?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46383193*w**3 + 75650331*w**2 wrt w.\nAnswer: 278299158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*u**2*w**2 - 2*u**2*w - 1344*u**2 - 41*w**2 wrt w?\nAnswer: 6*u**2*w - 2*u**2 - 82*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 196 - 80. What are the prime factors of d?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2426867.7 to the nearest one thousand.\nAnswer: -2427000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -189 (base 14) in base 4?\nAnswer: -10331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138\/230*(-3)\/(12\/8)*(-150)\/(-4).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -15. Suppose 0 = -0*i - 5*i + 40. Let g = w + i. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 - 3*c + 1. Let o be z(4). Suppose -7*p = -s - 2*p + o, -3*s + 11 = 5*p. Calculate the remainder when 83 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37681 is divided by 473.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1730, 1754, 1796, 1862, 1958, 2090?\n\"Answer: t**3 + 3*t**2 + 8*t + 1718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43 - -17?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.5? (a) 8\/7 (b) 8\/279 (c) 0.1 (d) 5 (e) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 708\/5 + -142. Put -3, 7, t in ascending order.\nAnswer: -3, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42603, -42601, -42599, -42597, -42595, -42593?\nAnswer: -42591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - 24) + 26 - -16?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*a - 10910 - 5072 = 0 for a.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*s**3)*((-2*s - s + 13*s)*(4 + 2*s - 4) - s**2 + 4*s**2 - 4*s**2).\nAnswer: -57*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 70 = 21*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 7344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*(-3)\/24*3898 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92373737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 92733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**5\/20 + 7*m**4\/12 - 11*m**3\/6 - 7*m**2\/2 + 184*m. Calculate g(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -40.54\nAnswer: -40.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 108\/21 + 1\/(-7). Suppose -f*m - 9 = 6, -4*v + 5*m + 15 = 0. Solve v*d + 1 = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y - 387 = -25*y - 3*f, 4*f - 230 = -3*y. Determine x so that 432*x**4 + 12 - 3*x**2 - y*x + 795\/2*x**3 + 243\/2*x**5 = 0.\nAnswer: -2, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/6 and -53\/456.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2366 - -2368. Let h = -21483 + 150742\/7. Factor h*w**s + 4\/7 + 76\/7*w.\nAnswer: (19*w + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89456 + 92792 + 184*j - 182248.\nAnswer: 184*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 224584764 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 625*k**4 - 4082*k**3 - 27*k*p + 2332385*p + 52 wrt k?\nAnswer: 2500*k**3 - 12246*k**2 - 27*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-8)\/y)**38)**(-12\/13) assuming y is positive.\nAnswer: y**(4104\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 316?\nAnswer: 315.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100033031 + 10331?\nAnswer: 100043412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/1036 and -19\/1480?\nAnswer: 10360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31601045 to the nearest integer?\nAnswer: 5621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 3*f - 2*d + 37, 0 = -5*d + 15. What is the remainder when 122 is divided by f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 9032.\nAnswer: 9027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-6 - -2 - (-10 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42014 and 114038.\nAnswer: 798266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, i: 4}. What is prob of picking 3 i and 1 t?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**3 - 211*f**2 + 8859*f - 11974918?\nAnswer: 6*f**2 - 422*f + 8859","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2799 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701489609?\nAnswer: 53, 1249, 10597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6*(-3)\/5)\/(891\/810)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + 2*r**2 - r**2 + (0 + 0 - r)*(-3 - r + 3) - 2 + 34*r**2 - 22*r**2 - 17*r**2.\nAnswer: -3*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4 = 3*k + 11, 3*k = 4*b - 1. Let l be (b\/(-2))\/28 - (-12)\/48. What is the closest to 2\/3 in l, -1\/3, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -109*f - 72. What are the prime factors of t(-2)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110100011 + -11?\nAnswer: 11110100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05267 rounded to 3 dps?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31772585 is divided by 98?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 16*d**2 + 8*d - 128. Give m(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201590, -201622, -201652, -201680?\nAnswer: -201706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f + 78. Let x(s) = -9*s**2. What is n(x(b))?\nAnswer: 18*b**2 + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*r - 2 = -r, 3*m + 4*r = 18. Suppose f = 6*f + m. What is the remainder when (-2)\/4*(f - 60) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 4. Suppose a*y = 5*y. Factor -1\/5*f**2 + y + 1\/5*f**4 + 1\/5*f - 1\/5*f**3.\nAnswer: f*(f - 1)**2*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64673230.\nAnswer: 2, 5, 6467323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1385*n**3 + 0*n - n**2 + 10*n**2 + 12*n**2 + 7*n - 4*n wrt n.\nAnswer: -8310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 r, and 1 h when three letters picked without replacement from xwxirhhhliih?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 247126836 to the power of 1\/2, to the nearest integer?\nAnswer: 15720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 5*x + 16. Suppose 23*i + 88 = -27. What is the remainder when 76 is divided by y(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 27, -2, -2\/11, 0.026?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12, -0.5, 69 in decreasing order.\nAnswer: 69, -0.12, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, e: 9, t: 2}. Give prob of picking 2 t and 1 z.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2909\/218 or -13?\nAnswer: -2909\/218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 162757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m - 14 - 2*m + 7 + 8. Let w = 1 - 3. List the prime factors of r(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -30. Suppose -f + 28 = -4*f - q*m, 2*m = -10. Which is smaller: 4\/17 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2, 31, 66, 95, 106, 87, 26?\n\"Answer: -2*n**3 + 15*n**2 - 2*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119854?\nAnswer: 2, 7, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 373 - 390. Let n be (2 - (-52)\/t) + 38\/(-19). Is n > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + 141c15?\nAnswer: 141c22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9533, -18995, -28457, -37919, -47381?\nAnswer: -56843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 944033\/95 + -9937. Find the common denominator of z and -77\/38.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -237*z - 168. What is the units digit of p(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*1\/(-125)*5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 15, 86134, 5, 0, -3.\nAnswer: -3, -1, 0, 5, 15, 86134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 x when two letters picked without replacement from plvvxho.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-137 + 143 - 386)*(4*h - 3*h - 2*h)*(1 + 2 - 4) + 1 - 1 - h + (4*h - 4*h + 2*h)*(2 + 2 - 2) - 2*h + 3*h + h + 3*h + 4*h - 25*h)*(-h - 2*h + h).\nAnswer: 786*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 7590840*c + 7202606488200.\nAnswer: 2*(c + 1897710)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v + 9. Let q = 2 - 3. Let a(w) = -w - 1. Let d(y) = q*s(y) - 2*a(y). Determine d(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1777440633.9999849 + 1777440744. Let d = i - 110. What is d rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-87)\/168 + (-2)\/(-14). Let r = -34 + -4. Let z = r - -37. What is the third biggest value in z, -2\/7, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3 = 3*m. Suppose 2*v = m + 5. Let f(q) = 3*q**3 - 2. Let x(p) = -450*p**3 + 0 - 5 + 457*p**3. Calculate v*x(s) - 10*f(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1027 or 345?\nAnswer: 345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cczz when four letters picked without replacement from {c: 14, z: 5}.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 9 - 1 + 37 + 1815*l - 1817*l. Suppose 5*k - 18 = 82. Let f be c(k). Solve 4*h + f = 3*h + v, -3*h - 15 = 5*v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.26 + -0.06. Let h = m - 0.2. Let q be (-1 + -5)*(-6)\/(-9). What is the third smallest value in 4, h, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c (base 13) in base 3?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 18, 20, 22, 24, 26?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7bc - 30?\nAnswer: -81c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 348*u - 141*u + 414 = -3*j, -2*u + 1 - 25 = -4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10573, -23016, -35449, -47872, -60285, -72688, -85081?\nAnswer: -97464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1767, -6848, -15309, -27144, -42347, -60912, -82833?\nAnswer: -108104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrlsjrllhgll. Give prob of sequence lhjl.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 121455771 to the power of 1\/2, to the nearest integer?\nAnswer: 11021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27128833 and -0.1.\nAnswer: 2712883.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 472 divide 1666084008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 750966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/3)\/(2*(-4)\/24). Does 4 divide (-4887)\/(-162) + r\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -24. Suppose -6 = 2*v + 5*t, -4*v + 5*t + 160 = 82. Solve 0 = d - 4*n - v, -9*d + m = -4*d - 5*n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.1, -0.4, 936, 31?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/7, -0.4, 1726, 38.\nAnswer: -5, -3\/7, -0.4, 38, 1726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**7\/42 + 61*b**6\/12 - 1199*b**5\/4 - 9455*b**4\/6 - 9610*b**3\/3 - 450*b**2. Factor n(r).\nAnswer: -5*(r - 62)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 538 - 541. Let f be ((-12)\/(-5))\/(q\/(-100)) + 6. Calculate the highest common divisor of f and 301.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*i + 23 + 84, 0 = r - 3*i - 7. Calculate the remainder when 92 is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 times 1372\nAnswer: -35672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*6\/4*2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*j - 41*j - j**2 + 21*j)*(-3*j**2 - j**2 + j**2)*(-2*j + j + 2*j).\nAnswer: 3*j**5 - 27*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -62, 6, 90, 196, 330, 498, 706, 960?\n\"Answer: d**3 + 2*d**2 + 55*d - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -14228*h**3 + 2*h**2 + 2*h - 1. Is u(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20120934.\nAnswer: 2, 3, 1753, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15107.73ml in litres?\nAnswer: 15.10773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 6:23 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k**5 + 33*k**5 - 3*k**5)*(17 + 24 - 16).\nAnswer: 900*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 4:08 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (37 + -71 - -108) + -95\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 1 - 21. Let o = u + -2. Suppose -o*n = -32 - 13. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 w when three letters picked without replacement from {t: 2, k: 1, z: 1, g: 7, w: 8, x: 1}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -157, -432, -963, -1834, -3129, -4932, -7327?\nAnswer: -10398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 292\/7 - 8\/(-28). Suppose 0 = -20*y + v + 18. Solve -2*h - 3 = -l - h, y*h = -9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g - 3. Let y be l(6). Suppose r = 2*r - y. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 26*x**2 - 5*x + 4. Let z(u) = -104*u**2 + 19*u - 15. Suppose 96 = -4*j + 8. Let t(o) = j*c(o) - 6*z(o). What is the second derivative of t(q) wrt q?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(2\/5)*r\/(r\/(r\/((r**(-1\/8)*r)\/r)*r))*(r**(1\/3))**29 assuming r is positive.\nAnswer: r**(1487\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 173*k**2 + 1058*k - 64534. What is n(169)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5\/5 + 1688*k**4\/5 + 13166*k**3 - 559468*k**2\/5 - 748496*k\/5 + 1240448\/5 = 0. What is k?\nAnswer: -44, -2, 1, 8, 881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 196.14 and 24276427?\nAnswer: 24276230.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -788*((-14)\/84)\/(7\/((-241836)\/(-8))) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -114*(-273)\/4410 - (9 + 0 + -2)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (98\/735 - 2\/(-10))*(-16 + 1). Let a = -0.3 + 0.2. Do a and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.271875 and -0.2.\nAnswer: -0.054375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/(-50))\/((-2)\/(-235)). Let a = -32 + t. What is the smallest common multiple of 30 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 101200022122?\nAnswer: 101200022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in 2, -5, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in years?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 5:28 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*a + 8071 + 20050 = 0. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*v - 131*v + 25 = 0. Solve v*b = 5 - 25 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.15 - -15.85. Which is greater: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + n + 13 = 0, 931*h - 933*h = -5*n + 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -1437079787?\nAnswer: 1437079788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -4*a + 2*x, -5*a + 47 = -3*x - 0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(12)\/sqrt(3)) + (2*sqrt(5))**2*-4 + (-1 + sqrt(5)*2 - (sqrt(5) - sqrt(320))).\nAnswer: -81 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -9*y - 94. Determine r(10).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15151478 - -6.02\nAnswer: -15151471.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -26. Suppose -4*h - w = -78, -o*h - 5*w + 90 = 3*h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462 - 449 - 38*d + d**2 + 911 + 48*d - 4*d**2.\nAnswer: -3*d**2 + 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2501448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 716 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88626469, -88626468, -88626467, -88626466, -88626465, -88626464?\nAnswer: -88626463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 6*d**2 + 8*d - 6. Let q be (-3)\/(-6)*-2*-7. Let u be f(q). Which is the nearest to 0.2? (a) -0.2 (b) 3\/8 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -467 + 445. Sort 3, -2, m in decreasing order.\nAnswer: 3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -9)*(1 + 1 + -1). What is the third derivative of -q*m**5 + 4*m**2 + 6*m**2 + 7*m**5 + 20*m**6 wrt m?\nAnswer: 2400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 + 2*x + 28853*x**2 - 14426*x**2 - 2*x - 14427*x**2.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8511 + 5499?\nAnswer: 119aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2685*h**3*l - 205*h*l + 120841*l + 3 wrt h.\nAnswer: 8055*h**2*l - 205*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - m - 284 = 0, 139 = 3*f + 5*m - 97. Let n = 123 + -195. Let q = f + n. Solve -4*u - 8 + 24 = q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.07 - 7. Let v = 4681 - 4685. Which is the closest to s? (a) 0.5 (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-10)\/(-2)))\/(-4)*3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/24)\/((-2)\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-99))\/((-1)\/(-3)). Let p = -35 - -35.4. Which is the nearest to 1? (a) x (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 793*s**2 - 1217*s.\nAnswer: 1586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 410002*n**3 + 165*n**2 - 3*n - 25 wrt n?\nAnswer: 2460012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10216.999993721 + -10217. What is z rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -130 - -132. Let k(x) = -3 - 2204*x - z - 3 + 7. Is k(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 764 in 1.039, -2\/7, 0.5?\nAnswer: 1.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 + s - 391 + 462.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 304.56 and -4387.\nAnswer: -4082.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 3:17 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -8*t + 10. Let z be ((-8)\/24)\/(1\/9). Does 17 divide p(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 431 - 33. Suppose 0 = -5*b + 4 + d. Suppose 0 = -5*i + b + 21. Calculate the highest common factor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -65*w + 58*w + 7. Let u(x) = -x**2 - x + 4. Calculate the common denominator of u(-5) and (-2842)\/252 + (w\/9 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1171*g + 1171*g - 2347*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-15))\/((-56)\/(-3696)*-12).\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 292\/2245431 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 23475486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5\/11 - 4*l**4\/11 + 2*l**3\/11 + 4*l**2\/11 = 0. What is l?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -610 + 603. Let s be o + 1\/9*219. Factor 16\/3 - 5\/6*w**5 - s*w**3 - 19\/3*w**4 - 8\/3*w - 56\/3*w**2.\nAnswer: -(w + 2)**4*(5*w - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 2*w - 3. Let j be x(-3). Suppose -3*m + 20 - 2 = j. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288923?\nAnswer: 59, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -352 - -358. Solve p + s*p + 14 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 1\/2*f**2 + 0*f + 4. Calculate k(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2783 and 1265?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -9 + 2 + 6 + (-9 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27\/6*(-32)\/16\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(64)*-5).\nAnswer: -sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 361, 359, 357, 355, 353, 351?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = r - 3*j, -2*j - 4 = 0. Suppose -4*f + r*f + 6 = 0. What is the third derivative of m**2 - 5*m**4 + 0*m**4 + f*m**4 wrt m?\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6753 + 0?\nAnswer: 6753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 + 2 - 1 - 38*x**2 + 3 + 34*x**2 - 2*x as t*x + m*x**2 + b and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-14) + (4*(-148)\/112)\/1. Put 296, n, 4, 2 in increasing order.\nAnswer: n, 2, 4, 296","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 7*p + 4. Suppose 2*i = u - 7, 3*i + 37 = i - 5*u. Let n be g(i). Suppose -m - n = -2*j + 2*m, 3*j + 3*m = 81. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -293633, -293614, -293581, -293534, -293473, -293398, -293309?\n\"Answer: 7*t**2 - 2*t - 293638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12 + (-6 - 8\/(-4)). Suppose -3*l = -5*l + c, -d + 4 = l. Suppose g - 6 - 26 = d. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 310 + -97. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 187002655 by -19.\nAnswer: -9842245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 + 22 - 14) + (12 - -15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 56836.311327821.\nAnswer: 56841.311327821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 27. Suppose -5*y + 4 = -z. Suppose -4*s = -y*o - 2*o + 3550016, -8 = 2*s. What is o rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 2. Let i be x(2). Let u(o) = -o**2 - 2*o + 2. Let g be u(i). Suppose -3*a - 16 = -3*r + a, -g*a = -2*r + 12. Solve -2*z - 2*z + r = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 81, 145, 239, 369, 541, 761?\nAnswer: 1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) 0.03 (c) 0.4 (d) -2\/7 (e) -0.029\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**3 - 58*n**2 - 142*n + 39. Let l(t) = -t**3 + 2*t + 1. Let r(y) = -18*l(y) - 2*m(y). Let r(u) = 0. What is u?\nAnswer: -6, -4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31103 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*(-1*(sqrt(13) - (sqrt(208)*1 - sqrt(13))))**2*3 + 5 + -1.\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - l - 13 = -2, -2*q = -3*l + 2. Suppose -193 + 463 = 45*g - 18*g. Calculate the least common multiple of g and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 12366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -7*f**2 - 7*f - 2. Let y(v) = -v**3 + 2*v**2 + v + 2. Let c(j) = h(j) + y(j). Let i(q) = -q**3 - 6*q**2 - 7*q. Calculate 6*c(o) - 5*i(o).\nAnswer: -o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25946576 and 16928.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55434, 109887, 164338, 218787, 273234?\nAnswer: 327679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -89*j**2 - j. Let q(g) be the second derivative of -g**3\/2 - 23*g - 3. Calculate v(q(c)).\nAnswer: -801*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.74 * 0.1\nAnswer: 0.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(10\/3)*s**(-1\/6)*s)\/(s*(s\/(s*s\/(s*s**(-1))))\/s*s)**(9\/2) assuming s is positive.\nAnswer: s**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609973713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 9*t**2 + 14*t - 3. Let a be z(-3). What are the prime factors of (a + 0)\/(((-351)\/18)\/(-13))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 40?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 1 - -1) + (30 - 30).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -76199.\nAnswer: -4\/76199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34931298, -69862591, -104793884, -139725177, -174656470, -209587763?\n\"Answer: -34931293*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 a factor of 11927085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -19 - (31 + (47 + -33 - 13))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3\/5 + 33956*m**2\/5 + 203592*m\/5.\nAnswer: 4*m*(m + 6)*(m + 8483)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 times -1.8?\nAnswer: 226.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3954\/35 < 112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 69937231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4104*v**3 - 7*v**2 - 17*v - 19. What is the thousands digit of t(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 4:49 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1448054 (b) 3 (c) 68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2809 + -2806. Suppose 1 = -4*x - 19. Let n(g) be the first derivative of -g**2 - 5*g - 1. Let i(o) = -o - 3. Determine b*n(d) + x*i(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-5)\/((-70)\/32). Let n = 0.12 - 0.106. Let w = 1.014 - n. Which is the third smallest value? (a) w (b) o (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 + 53. Suppose g - 26 = -q, m = q - 5*g + 1. What is the remainder when 129 is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26546 (base 11) in base 5?\nAnswer: -2203143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41850428?\nAnswer: 2, 10462607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/3 in -26, -4, 9.44?\nAnswer: 9.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 1370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**3 + u - 12*u**2 - 17*u**2 - 16925 + 16927 in the form a + s*u**2 + o*u**3 + n*u and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 932 + 944, 0 = 3*u + 7*f + 34 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13993, -13978, -13963, -13948, -13933, -13918?\n\"Answer: 15*b - 14008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/4)\/((-4)\/8). Let g = -1173 - -1153.01. Let j = -20 - g. Which is the nearest to q? (a) -1 (b) j (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 + -657 + (-34 - -3)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 814447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - 0. Let c = b + 12. Let l be (-63)\/(-12) - 5\/60*3. Sort l, 1, c in decreasing order.\nAnswer: l, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 7*t - 5. Suppose 1056 = -11*n + 1001. Give k(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16, 29, 52, 91, 152?\n\"Answer: m**3 - m**2 + 9*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 - 1008040*v**2 - 215857948*v - 11550850304.\nAnswer: 4*(v - 252224)*(v + 107)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 3:01 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p + 5. What is h(8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*((-60)\/(-16))\/3)\/(260\/(-16))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50*r**4 + 6*r - 55*r**4 - 3*r**4 wrt r.\nAnswer: -1296*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 + 45.7. Is -7 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 61\/4. What is the closest to o in -0.2, 5, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337084998.\nAnswer: 2, 3, 43, 769, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1\/2 (c) 31 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -5*g - 20, 2*g = 3*g - 5*l - 20. Which is the nearest to g? (a) 0.3 (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 3. Suppose c*y = 2*y + 21. What is y rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + -4)*1 + 0 + (sqrt(1300) - 5*sqrt(1300))**2.\nAnswer: 2*sqrt(13) + 20796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 - (17 - 15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 577518711 to the power of 1\/2, to the nearest integer?\nAnswer: 24032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 4998 = -x. Suppose 12*h = 9*h - x. Let n be (h\/(-21))\/((-2)\/(-12)). Calculate the highest common divisor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-1))\/((-1)\/((-4)\/6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 34747, -8 in ascending order.\nAnswer: -8, -0.4, 34747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -42*n + 32*n - 4 + 4. Let x(y) = 22*y. What is x(b(a))?\nAnswer: -220*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -547976 or -548781?\nAnswer: -548781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/(-4))\/(4 - (-187)\/(-44)). Let r(p) be the first derivative of -p**3\/3 - 3*p**2 + 10*p - 1. Calculate r(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1795141 rounded to the nearest 10000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 92*i - 590. Is b(49) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113943821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t - 46. Let v(q) = -71*q. What is v(f(b))?\nAnswer: -142*b + 3266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, d: 7, e: 3, r: 1, k: 1, f: 2}. Give prob of sequence fp.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 732, 3103, 7054, 12585, 19696?\nAnswer: 28387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**9\/72 + n**5\/20 - 5*n**2\/2 - 3*n. Let b(g) be the first derivative of k(g). What is the third derivative of b(z) wrt z?\nAnswer: -840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 v when three letters picked without replacement from nnnvnvvnvnn.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -724579.6 to the nearest 1000.\nAnswer: -725000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = 4*y + y. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4c (base 15) to base 16\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - z - 1. Let g(c) = -4*c**2 + 4*c + 6. Let r(w) = -g(w) - 3*s(w). Let v be r(-2). Differentiate 7*j**3 - 8 + 0*j**v - 15 with respect to j.\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 9) to base 10.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 7*k - 8. Let h(n) = 3*n**2 + 15*n - 18. Let f(i) = 7*a(i) - 3*h(i). Let v(b) = -b**2 + 3*b - 1. Determine 3*f(l) - 4*v(l).\nAnswer: -2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*g + 578 - 703. Let r(c) be the first derivative of -12 + 7\/5*c**g + 0*c**3 - 8*c + 0*c**2 + 0*c**4. Differentiate r(a) wrt a.\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -719416, -1438688, -2157960, -2877232, -3596504?\n\"Answer: -719272*p - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118897.\nAnswer: 118897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -216 by -27.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -432.9 and -4.\nAnswer: -436.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/8 (b) -14 (c) 4 (d) -1\/56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13798067 rounded to the nearest one hundred thousand?\nAnswer: -13800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -9, -w - 5*p - 21 = -p. Let g(f) = 17*f - 67. Let k be g(4). What is the units digit of (w\/(k + -4))\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s. Let n(o) = 3*o + 1. Determine -4*d(u) + n(u).\nAnswer: 7*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 11:36 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 9:33 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -3*x**4\/2 + 14*x**3\/3 + 8*x**2 + 6346*x. Determine z, given that r(z) = 0.\nAnswer: -4\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 10*j - 12. Let c be r(3). Let i(g) = -8*g + c*g - 9*g. Let o(u) = 304*u. Calculate i(o(w)).\nAnswer: 304*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9574*r**3 - 81*r**2 - 5642297?\nAnswer: 28722*r**2 - 162*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 7*f**2 - 5*f. Let t be p(6). Find the third derivative of -6*q - 8*q**2 + 2*q**5 + 6*q**5 + t*q wrt q.\nAnswer: 480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11.71805l?\nAnswer: 11718.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**4 - 2*f**4 + 3*f**4 + 1 - f**4 - 1 + (2*f**2 - f**2 - 2*f**2)*(5*f**2 - 2*f**2 - f**2))*(5406962*f + 2 - 5406866*f - 3).\nAnswer: -192*f**5 + 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/26 smaller than 2\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -172 - -231. What is the remainder when s is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*h + 2*f, h + 3*f - 6*f - 12 = 0. Suppose 1 = 4*x + c - 2, 3*x + h*c + 9 = 0. Suppose 2\/5*w + 0 - 2\/5*w**x = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(1\/3)*p\/(p**20\/p) assuming p is positive.\nAnswer: p**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 23*i**2 + 17*i - 25. Let v(t) = 23*t**2 + 18*t - 25. Let y(z) = 3*v(z) - 2*w(z). Is y(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7027965 and 268731?\nAnswer: 1890522585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -105*x - 80*x - 4070 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -255*q - 6112. Determine j(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -895? (a) -4\/3 (b) 0.5 (c) 1\/5 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 652 + -653. Which is the closest to y? (a) -2 (b) 0.5 (c) -1\/15 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 55*t**3 + 2*t**2 - 2*t + 1. Let v be u(1). Let r(w) = w + 18. Let n be r(-4). Calculate the highest common factor of n and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*5.756\nAnswer: 1.7268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - z = -5*a + 44, z - 6 = -3*a. Let v(f) = f**2 + 4*f + 7. Let r(d) = -3*d**2 - 11*d - 20. Let b(k) = z*r(k) - 17*v(k). Find x such that b(x) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -32?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 3 + (-5 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + -31. Solve z*k - k = 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 440986 and 25298?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/40*-5*(-12)\/(-7)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 214.16, -1\/40 in decreasing order.\nAnswer: 214.16, -1\/40, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 4*m**2 + 8*m - 4. What is the units digit of v(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**2 + 44*t - 361. Calculate the remainder when m(8) is divided by 126.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -18?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2160 and 171520.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6527 + -14635?\nAnswer: -23364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + 33 + -21 + 45 + 2 + -19 + 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32524 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 - 19?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: What is prob of sequence mojl when four letters picked without replacement from mooomjkooojjooojljof?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 530421, 530422, 530423, 530424, 530425?\nAnswer: 530426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 + 2 + z**2 - 12*z + 9*z + 3*z**2. Let v(x) = -x**3 + 10*x**2 - 9*x - 3. Let w be v(9). What is the tens digit of g(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 9:40 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*s - 3*d + 4*d, 2*s = 3*d + 8. Is s < -17\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -1) + 17 + (-286 - -284)*(-28)\/(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 6916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 5)*(-2 - 1 + 4)*(-2*y**4 + 0*y**4 + 0*y**4) as p*y + v*y**4 + u + j*y**2 + o*y**3 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sixths of a hour?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 43*d**2 + 54*d - 49. Is x(5) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 88500001 = -g, -3*g = -2 + 5. Round h to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421.8334 seconds in microseconds?\nAnswer: 421833400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5705\/2178 - 1\/121. Calculate the common denominator of 28\/3 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 8. Suppose -2*a - 3*a = h. What is the second derivative of 0 + 0 + a*y - 6*y + 2*y**2 wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**3\/7 + 16412*b**2\/7 - 4*b\/7 - 16412\/7 = 0.\nAnswer: -4103, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 - -79. What is the remainder when (8\/(-1))\/(18\/(-63)) is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139057 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33825?\nAnswer: 3, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**4\/4 + 2*q**3 - q**2\/2 - 1. Let b be (-15)\/3 + (2 - 0) + 6. Suppose -b*p - 13*p = -48. Give j(p).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (-13 - (6 + -12)). Suppose 0 = 5*v, x*a - 2*v = 6*a + 60. Solve -3*u + a = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154502543 + -0.71.\nAnswer: -154502543.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1328391 divided by -182.\nAnswer: -1328391\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*h - 12136 + 16297 = 0. Solve -61*n - 23 = -h*n - x, 2*n + 2*x = -4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*o**2 + 380*o**2 + 203*o**2.\nAnswer: 753*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2064384 and 0.13.\nAnswer: -2064383.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 8 = v. Suppose 0 = 3*m + m + v. Is ((-4)\/m - -38) + -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.05 (b) -1.3 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4\/9 - 68*x**3\/9 + 18952*x**2\/9 - 59248*x = 0 for x.\nAnswer: -126, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 302966.4ms in microseconds?\nAnswer: 302966400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/6*0)\/(-1). Suppose 0 = 2*q - 4 - g. Suppose -3*i + 3 = 3*k, 0 = k - q*k. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-4 + (19 - (8 - (-6 + 5))))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 1362*z**2 + 6809*z - 22. What is j(-5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y**2 + 726*y + 7530. What is d(-11)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29795 + -29585. What is the least common multiple of (0 + 1)*1 + 39 and j?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 + -0.2. What is the closest to a in 0, 0.03, -3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9480)\/(-18170))\/(21\/(-69)).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-263)\/6*4*(-27)\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227323.\nAnswer: 31, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 907 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 4bc010?\nAnswer: 4bc00d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.09 + -2.09. Suppose 0 = -2*u + 3*v + 28, -494*v + 499*v = -4*u - 32. Which is the nearest to -1? (a) 2\/3 (b) -5 (c) u (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 599160?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 45, 45, 65, 111, 189, 305, 465?\nAnswer: 675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 10*b. Suppose -5*j + 2*j - 2*o + 2 = 0, -15 = 3*o. Suppose j*g + g - 5 = b. What is the remainder when 3 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5238 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 357 + 535. Calculate the remainder when f is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*m + 240, 3*v - 320 = -3*m - m. Suppose 3*l + 5*c - 30 = 0, 0 = 3*c + c. Calculate the highest common divisor of l and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2*(-1 + 84 + 3). Solve -12 = -46*s + l*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 35*r**2 + 393*r + 1045. Calculate q(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1973929*j**2 + 1063815*j wrt j.\nAnswer: 3947858","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1. Suppose 2*h + h - 24 = m. Solve 4*r + 7*x + 3 = 2*x, h = -3*r + 2*x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a + 4074 = -514*a - 51*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11779 + -58707\/5. Let b = 38 - z. Factor 1\/5*h**5 + 0*h**3 - b*h**2 + 2\/5*h**4 + 0 - 1\/5*h.\nAnswer: h*(h - 1)*(h + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0)*(-2)\/2 + 346 + (-122419)\/341.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -1\/2*a**3 + 0 - a**2 + 12037*a**4 + 2*a. Let w be d(-6). Round w to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 2:49 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 11*t**2 + 9*t - 9. Calculate r(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5485211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1098583561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4804306479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1501*n**2*v**3 + 10*n*v**2 - n*v - 2*v**3 + 6*v**2 - 2523*v + 7 wrt n.\nAnswer: -3002*n*v**3 + 10*v**2 - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + u + 2*u - 24, -12 = -2*s - 2*u. Let c(g) = 51 - 5*g + 0*g + 0*g. Is c(s) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4379062.3139569 - 4379062. Let d = l - 17.3139461. Let u = -17 - d. Round u to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119973251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3333 = 2*a - 201, 2*a = 5*k - 8863. Calculate the greatest common divisor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 13. Let n be d(-10). Sort -5, 2, n in decreasing order.\nAnswer: 2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53699 + 53695. Let n be -1 + -1 + 34\/14. Let b = 3 - 1. What is the biggest value in b, n, -5, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 - 55*v + 58. What is p(-29)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 0 - (-12)\/2. Let g(f) be the second derivative of f**4\/12 - 3*f**3\/2 + 4*f**2 - 70*f. Let c be g(r). Solve c = -5*l - 0*l - 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (10 - 26) - (-4 + (3 - 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 9:53 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3458164?\nAnswer: 2, 864541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**3\/2 - 7*h**2\/2 + 34496*h + 3569258 = 0.\nAnswer: -154, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/n**(-1\/6))\/n)*n**4\/n)\/((n*n**(-1)\/n)\/n)**(5\/7))\/(((n\/n**(-8))\/(n**(-8)*n))\/((n\/(n*n**(-2\/11)))\/n**(-4\/9))) assuming n is positive.\nAnswer: n**(-14015\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 9) to base 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 198*g - 8103. Suppose 2*n = 3*m - 18, -4*m - 3*n = n - 44. Suppose 0*y = y - m. Calculate the remainder when v(41) is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/((x\/x**(-6)*x)\/x*x)*x*x*x**3)**(-40)\/(x**(-3\/8)*x**(1\/2)*x*(x\/(x\/x**7))\/(x*(x\/((x\/x**6)\/x))\/x*x)) assuming x is positive.\nAnswer: x**(319\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 + 0*j**3 + j**4 + ((j - 3*j + 3*j)*(4*j**2 - 5*j**2 - j**2) - 4*j**3 + 2 - 2)*(460*j - 111*j - 187*j)*(2 + 1 - 5).\nAnswer: 1945*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 30141 (base 5) in base 15?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 436740*o. Let p(k) = -2*k + 56. Give h(p(w)).\nAnswer: -873480*w + 24457440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/(-288))\/((-62)\/(-23064))?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 295 and 7139.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(75)*-2)\/(1*sqrt(500) + sqrt(500)))\/((sqrt(200)\/sqrt(8))\/sqrt(5) + sqrt(5) - (sqrt(180) + (sqrt(180) - -4*sqrt(180)))).\nAnswer: -3*sqrt(3)\/170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 7:52 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5507028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(-5\/9))*p)\/p**(9\/4)*(p**(-10\/3)*p)\/p*(p\/(p**8*p))\/p assuming p is positive.\nAnswer: p**(-509\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1*(88\/16 - 5)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 + 38*i - 8. Suppose -2710*a + 2723*a - 247 = 0. What is d(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, 4, -11 in descending order.\nAnswer: 7, 5, 4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -9243487 = 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*k - 21, 7 = -k - k - 3*x. Let z be -2 - k*(-15)\/25. Let m be (-15)\/6*2\/z. Solve -16 = 3*r - m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/3))**(7\/10) assuming k is positive.\nAnswer: k**(14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 749 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/(-12)*1765\/(-15)*2*22 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - -103. Suppose 5*b + 3*q - l + 3 = 0, 5*q + 37 = 2*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 1\/210*m**5 + 0 + 0*m + 1\/42*m**4 + 1\/21*m**3 + 4*m**2. Suppose q(s) = 0. Calculate s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/11, 1\/6, 0.11.\nAnswer: -2\/11, 0.11, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22071709?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**2 - 65*j + 14. Calculate d(-22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4\/15 - 226*g**3\/5 + 3848*g**2 + 25989352*g\/15 + 25810144\/5 = 0 for g.\nAnswer: -262, -3, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 8*d**2 - 3*d - 10. Determine a(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 123 and 21660177.\nAnswer: 21660177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/4 + (-35)\/(-36). Let m = -543 - -543.2. Sort c, 1, 5, m.\nAnswer: m, c, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -3.655 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26514.\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3*38\/21 - (-492)\/861\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 4*x + 6, 0 = -7*x + 3*x + 2*p - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2038*l - 23. Let z(u) = -u. Calculate z(f(g)).\nAnswer: -2038*g + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a meter in millimeters?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 23*v - 3. Let m be o(7). Let k = 209 - m. Solve k*c - 3*c = -5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 558 - 558 - 6*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/10)\/((-148)\/12 - -12)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 76\/5 of a litre?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/9)*p*p**(-3\/4) assuming p is positive.\nAnswer: p**(17\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14706 (base 9) to base 3.\nAnswer: -111210020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -1\/120*y**6 - 23\/30*y**5 - 1\/24*y**4 + 0 - 8\/105*y**7 + 0*y + 0*y**3 - 52*y**2. Find the third derivative of c(v) wrt v.\nAnswer: -384*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*h**3 + (-1 - h + 1)*(0*h**2 - 2*h**2 + h**2) + (2*h + 0*h + 0*h)*(-2*h**2 + 0*h + 0*h) + 1 - 1 + h**3 + h**3 + 63*h**3 + 38*h**3.\nAnswer: 102*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077 (base 9) in base 4?\nAnswer: 30133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/4*(-1 - (-21)\/18). Which is the nearest to 0? (a) -0.09 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -101.32 + 2.32. Let k = q + 99.00228. What is k rounded to four decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 50780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + g - 2*g)*(-2 + 2 + 1)*(-14*g**3 - g**3 + 3*g**3) + (g**3 - 2 + 2)*(-3 + 3 + g).\nAnswer: -23*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/(-1485))\/(-3*(-4)\/(-10)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -13*m + 21*m - 1 - 9*m - 4. Determine p(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 6*j**2 - 6*j + 2. Suppose 0*x - 4*g = 3*x + 2, 0 = -4*x - 4*g. Suppose -x = -f + 2. What are the prime factors of b(f)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.358471703 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1747471.\nAnswer: 11, 23, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 1 = 3*v - 3, -2*v + 5*r = -43. Is 4*v - (2 - 3) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-5 + 38 + -24)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3523, 3542, 3561?\nAnswer: 3580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52047 = f - u, 104110 = 2*f - 81*u + 83*u. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2120 or 46986?\nAnswer: 46986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 4*f + 12 = 0, 9*f = 11*f + 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -43*z**2 + 30*z + 53. Let o(i) = -9*i**2 + 16. Let u(l) = j(l) - 5*o(l). Give u(-14).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 130\/18 - (-26)\/117. Let t = 9 + p. Suppose -2 = k, -k - 16 = -t*u + 4*k. Solve 5*v + 4*s - 4 = 0, -5*v + 5*s = -u*v - 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 28 = -4*s, 1288 - 1282 = 5*s - 4*r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddx when three letters picked without replacement from {x: 6, d: 7, s: 3, y: 1}?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 f when four letters picked without replacement from gfqfqqgqqqqfqfqq?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edmoa. Give prob of sequence do.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.1 - 2. Which is the closest to d? (a) 1\/5 (b) 3 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 738*u - 32*j = 733*u - 180, -36 = 4*u - 4*j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yngen. Give prob of picking 2 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 7*g**2 - 12*g + 16. Let u be m(8). Let q = 13 + u. Let y(k) = -k**2 + k + 3. What is y(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2)*u**(2\/7)*u*u\/((u**(2\/7)\/u*u)\/u)*u**(1\/5) assuming u is positive.\nAnswer: u**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u - 2*l = 86, 5*u - 245 = -5*l. Suppose 4*m - 22 = -2*t + 22, 3*m - 57 = -3*t. Calculate the remainder when u is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/3)\/(-1 + 0). Suppose -4*m + 2*w = -n*w - 44, 4*w - 11 = -3*m. Let q(s) = -s**2 - 4*s + 5. What is the remainder when m is divided by q(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 12) in base 9?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 2*w**2 - w - 6. Let p be v(0). Let h(k) = k**2 + 4. Let j be h(0). Put 5, p, j in ascending order.\nAnswer: p, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14612 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**5 + 7*k - 7*k + (-1 - 3 + 5)*(k**5 + k**5 - 4*k**5) + 9*k**5 - 111*k**5 - 21*k**5.\nAnswer: -123*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 175282 (b) 0.4 (c) -1\/6 (d) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*g - 52 + 52)*(2 + 2 - 5).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 5, 14.5, -2\/7 in increasing order.\nAnswer: -22, -2\/7, 5, 14.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 900 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1389129?\nAnswer: 3, 7, 29, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 38. Let h = -606\/91 + 42\/13. Let m = h + 19\/28. Which is the smallest value? (a) -2 (b) n (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 746 is divided by 52?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2147 divided by -22362.\nAnswer: 2147\/22362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 125199989\/1 + 21\/7. Suppose -z = 3*z + 2*p + j, 5*z + 2*p + 156499992 = 0. What is z rounded to the nearest one million?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h - 2*h + 4*h)*(0 + 0 - 2)*(-5*h - h + 35*h) - h**2 + h**2 + 3*h**2 to c + n*h + x*h**2 and give x.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55.9999904 + 56. Round a to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -312 or -330?\nAnswer: -330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 134784.829 rounded to the nearest 1000?\nAnswer: 135000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*g*k*o + 2911*g*k - 368*k + 163*o wrt g.\nAnswer: 6*k*o + 2911*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 43+0.23\nAnswer: 43.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18930*c + 40247 wrt c.\nAnswer: -18930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*r**3 - 24 + 67*r**3 - 506*r + 502*r wrt r?\nAnswer: 468*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.63969nm in millimeters?\nAnswer: 0.00007263969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15 + -5 + 310 + 3 + 2. What is the greatest common factor of v and 1196?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -9*w**2 - w + 6*w + 5 - w. Let q(z) = -3 - 3 - 3*z + 2 + 8*z**2. Let b(u) = 5*q(u) + 4*s(u). Calculate b(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 7244 - 7255 = h, -2*h = -2*n + 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -435, -1232, -2029, -2826, -3623, -4420?\nAnswer: -5217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7587.999 litres in millilitres?\nAnswer: 7587999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide -2*(-7761)\/130*35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a hour?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 + 5*j**2 - 14*j + 9. What is the hundreds digit of z(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, t: 4, g: 1}. What is prob of sequence ttt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -172274, -172079, -171752, -171293, -170702, -169979?\nAnswer: -169124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -4. Let k be (-5 - -4)\/(3\/g). Suppose 0 + 0*l + 1\/2*l**3 + 1\/2*l**k = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -138962300 divided by 20\nAnswer: -6948115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**3\/6 + 5*m**2\/2 - 4*m + 60. Let j(g) be the first derivative of b(g). Suppose -2*v - v = 12. Determine j(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 12*q**2 + 9*q + 14. Let v be r(11). Let j(l) = -3*l + 15. What is the units digit of j(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -15. Let n = -1 - -2. Let f = -1.2 + n. Which is the second biggest value? (a) f (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10865 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 185, 3, 0, -93 in descending order.\nAnswer: 185, 3, 0, -5, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 b when three letters picked without replacement from {d: 1, b: 5, j: 2, z: 3, u: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0, -0.03, -21\/4 in ascending order.\nAnswer: -21\/4, -0.03, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-1)*1)\/(6\/(-10)). Let l = -0.06 - -5.06. Let m = -5.3 + l. What is the third biggest value in m, p, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o + 1\/2*o**2 - 22 - 5\/3*o**3 + 1\/4*o**4. Calculate i(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 50.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-4984)\/(-192) - 1352\/52\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31517 divided by -189.\nAnswer: -31517\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 16, 0 = -5*c + 78*y - 73*y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*v**4*w + 30*v**4 + 4*v*w**2 - 5*w**2 - 21*w - 80 wrt v?\nAnswer: -48*v**3*w + 120*v**3 + 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20206 + -18965. Calculate the highest common factor of 511 and o.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*5\/40)\/(41\/(-820)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2343, -4698, -7065, -9450, -11859, -14298?\nAnswer: -16773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70 - (-18 - -51)) + -82?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10500 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 450126 - -2423074. Round f to the nearest 10000.\nAnswer: 2870000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c**2 - 3*c - 1. Let n(b) be the third derivative of 11*b**4\/8 - b**3\/3 - b**2 - 98. Let v be n(0). Give y(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 199 - 151. Is (-4)\/(m\/(-18087)) - (-5)\/(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16.43 and 0.089.\nAnswer: -1.46227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31715287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 43\/4 + 13\/52. Let p = 34 - n. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -8. Let f(v) = -v**3 - v**2 + 4*v + 3. Let u be f(-3). Let c = a + u. Calculate the greatest common factor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 301 divided by -28.\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 5*z + 26, 2*z = 3*k - 2*k + 10. Let j be 36\/16 + k\/8. Let d be ((-2)\/(-6))\/(j\/6). Is 1 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 380, 379, 378, 377, 376, 375?\n\"Answer: -n + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1385 + -694. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 41612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x**2 - 3*x**2 + 6*x**2)*(-630*x**2 + 1275*x**2 - 254*x**2) as v*x**4 + y*x**2 + g + d*x**3 + m*x and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10553410 (base 6) in base 8?\nAnswer: -1174716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21224 and 2274.\nAnswer: 63672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -3.5. Suppose 0 = -2*k + 6*k. Suppose 0 = -2*r + r + 3. Put r, k, x in descending order.\nAnswer: r, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3 - 2 = 0. Let h be (15\/(-30))\/((-1)\/194). Let w = -57 + h. Calculate the greatest common factor of w and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 1)*-1 - 5. Let s(j) = -j**2. Let m(u) = -8*u**2 - u - 1. Let l(r) = t*s(r) - m(r). What are the prime factors of l(-1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 - 8*s**2 - 8*s - 11. Calculate the remainder when (0 + 2)*((-1148)\/(-8))\/7 is divided by i(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, r: 2}. Give prob of picking 2 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -317, 155, -1588 in decreasing order.\nAnswer: 155, 1, -317, -1588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1262 + -3?\nAnswer: 1259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 105*j - 432. What is r(-109)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/8 (b) -5 (c) -5.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -189 divided by -27\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 4:44 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) -0.12 (b) -1108 (c) -38 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, o: 10, p: 8}. What is prob of picking 2 o and 1 p?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63243 is divided by 3011?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127 - 127. Suppose j = 5*w + 4 - 14. Solve 3*v - w*v + 4 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 129*b - 960 = 73*b. Let u(r) = 6*r**2 - 4*r - 2. Let q be u(-3). What is the highest common divisor of q and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by 1.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -92 in descending order.\nAnswer: 5, 3, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, b: 1, d: 1, v: 3, o: 4, z: 6}. What is prob of picking 1 x and 2 z?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1487? (a) -0.2 (b) -2 (c) 46\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 + 28. Let g(w) = -w**3 - 17*w**2 + 39*w + 26. Let r be g(c). Solve -4*u + 1 = -r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 335 or 323?\nAnswer: 335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 277\/924 + -5\/28. Let p(h) = 20*h**2 - 222*h + 21. Let w be p(11). Are z and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 93297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11592, 22696, 33772, 44808, 55792?\nAnswer: 66712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5350806367 to the nearest integer?\nAnswer: 1749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.268 and -27?\nAnswer: 27.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3082, -9548, -20294, -35296, -54530?\nAnswer: -77972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*n - 65072 = 161*n. Is n equal to -1162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 34*t + 19 = -31*t, 3*t - 7 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 37. Let s = -10 + z. Is (15\/(-12))\/(s\/(-304)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3*c - 13, i + 5*c = 2*i - 13. Let s(j) = 3*j + 3. Let v(u) = 7*u + 7. Let t(g) = i*v(g) + 5*s(g). Calculate t(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89438 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 13 - 2*a - 9 + 3*a.\nAnswer: -2*a - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1063 + 1063.5. Sort -2, -1, x, 0.3 in descending order.\nAnswer: x, 0.3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -8. Suppose 3*f + 2 - d = 0. Find the second derivative of -10*c - f*c + 4*c**2 + 2*c + 0*c wrt c.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**(1\/4)*k)\/k)\/(((k*(k*k**(-9\/2))\/k)\/k)\/k))**(-2\/45) assuming k is positive.\nAnswer: k**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 206243288 to the nearest integer?\nAnswer: 14361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (177 + 6379*c - 6378*c - 1175)*(0*c - 2*c + 0*c).\nAnswer: -2*c**2 + 1996*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/(-9))\/(7\/(-21)). What is the nearest to 2\/7 in 2\/13, i, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46276233 - -0.748?\nAnswer: -46276232.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24321 and 603.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*h + 77*h = 53636 + 336046. List the prime factors of h.\nAnswer: 21649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 10:08 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7*z**2 - 9*z - 2*z**2 + 10 + z**3 + 2. What is the tens digit of u(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*h - 35*h - 98*h as k + p*h and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 4*y + 5 + 3, 2*r + 1974*y = 2037*y + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*3*(-2)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a. Let m be (-4 - -1) + 8\/(-4). Is 10 a factor of s(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 185*a + 127. What are the prime factors of z(7)?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/176568 and 59\/63?\nAnswer: 529704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**4\/11 + 84928*y**3\/11 - 901000956*y**2\/11 - 12626500544*y\/11 - 44207321858\/11 = 0.\nAnswer: -7, 21239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 + -36)\/(-17 + 19).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 74 + 10. Let m be (14\/o)\/(2\/153). Let s = -14 + m. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 10:49 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16002429 + 2?\nAnswer: 16002431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 10*d**2 + 4*d - 13. Determine j(-9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15053722 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h**2\/h)\/h))**(2\/7)*(h*h**(-1\/5)\/h*h*h)**(2\/157) assuming h is positive.\nAnswer: h**(18\/785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110 + 148. Suppose n + p + 15 = 2*s, 0 = -4*s + 3*n + 109. Suppose -2*t = -3*t - 4, -3*t - s = -f. Calculate the remainder when 129 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 10*z + 7. Give b(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-4)*(-28 - -612) - -10. Calculate the highest common divisor of 840 and d.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b - 376. Let o(m) = 2*m + 340. Let z(s) = -7*o(s) - 6*p(s). Give z(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 41709894.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552*k - 160 = 536*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/22 and -47\/89.\nAnswer: 1958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 997030 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -259 plus 4869470?\nAnswer: 4869211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or 1\/156?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 205, 209, 215, 223, 233, 245?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56852459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13065 divided by 1?\nAnswer: -13065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1543.\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + -49)*((-8)\/99)\/(472\/(-177)).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/(-20))\/(-1) + (2730\/936)\/(1\/(-9)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103467212 to the power of 1\/3, to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197 = 419*f - 8*f + 214 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2068*k - 28462 + 3167 = 139*k + 28717 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 0*s**3 + 0*s**2 - 7 + 6\/5*s**5 - s + 0*s**4. Differentiate l(t) wrt t.\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*x + 75*x = 1240 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*l - 255?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41664 (base 7) to base 16.\nAnswer: -282f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3 - 2 - j**4 + j**3 - 1 as s*j**2 + c + x*j + i*j**4 + u*j**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19296 divided by 4?\nAnswer: 4824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -532960 = -32*l - 531456 for l.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 17. Let w = -6 + 21. Let j be m(w). Suppose 1235 = -j*c + 7*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-14)*488\/(-2196)*21\/17.\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*a**2 + 33*a**2 + 52*a**2 to the form z*a + d + v*a**2 and give v.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 8*c - 8*c - 5. Let j be i(4). Solve -5*r = 5*m - 2*m - j, -2*m = -3*r + 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -324.4+0.076\nAnswer: -324.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1465*r + 358*r - 129440 = 205*r for r.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 7 + -24 + (-12 - -3) + -1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43214 and 1394.\nAnswer: 1394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -24. What is the third derivative of -n**4 - 6*n**4 + 14*n**o + 7*n**4 - 3*n**2 wrt n?\nAnswer: 840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 299064 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2560069 is divided by 474.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/25))\/k**(2\/89)*k\/k**(-12)*k**(-1\/31) assuming k is positive.\nAnswer: k**(956357\/68975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215140519.\nAnswer: 11, 457, 42797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 4. Let v = -6 + 8. Suppose -7 = -n + 4*t - 3, 4*t = -v*n - 16. Determine w(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/84*((-2)\/(-872))\/((-53)\/(-742)).\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 4*t + 0*t = 19, 4*t - 22 = -2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 7:25 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 2.75.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - 39. Suppose 0*q - b = -q + 9, -3*q + 31 = -v*b. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -4.5. Which is smaller: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/8*(-72)\/(-135).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 18*u - 15. Let b be g(16). Suppose -b*t - 1085 = -22*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 + 4*y + 3. Let m be d(-4). Let q = 63 - m. What is the common denominator of 75\/8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 4\/5 (b) -0.05 (c) 2 (d) 1\/2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, 5, -5, -16, 3, 83 in increasing order.\nAnswer: -16, -7, -5, -2, 3, 5, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, -655, -2130, -4977, -9652, -16611?\nAnswer: -26310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5329*-6.\nAnswer: 3.1974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*u + 5*b, 0*b + 4*b + 16 = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20\/73, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -91933885.5 rounded to the nearest one million?\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 0 - 1\/3*d**6 - 2\/21*d**7 - d**2 + 5\/3*d**3 + 0*d + 3\/2*d**5 + 5\/112*d**8 - 55\/24*d**4. Factor c(y).\nAnswer: 5*(y - 1)**3*(y + 2)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -493480 divided by -26\nAnswer: 18980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12556.\nAnswer: 2, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -104 * 96.5976.\nAnswer: -10046.1504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2)\/n)\/n**(-2\/5))**(-41)*(n*n\/(n*n*n**(-1)))**(-2\/15)\/(((n*n\/(n*(n*n**(-3))\/n))\/n)\/n**(2\/5)) assuming n is positive.\nAnswer: n**(1558\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2355632 is divided by 71.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 11*r - 10. Let t = 101 + -87. Let i(f) = -t*f - 6 + f + 14 + 3*f. Let v(w) = 5*i(w) + 4*y(w). Let s(d) = -2*d. Determine s(v(n)).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (-2 + 0))\/(-2). Suppose 2*v - 3*v - 5*o + 2725 = n, -4*v + 10790 = -2*o. Suppose 0 = 2*l - l + v. Round l to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 51*r + 318 - 98 + 12*r - 10*r + 59*r. Determine f(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 167 = -13. Suppose 9*l = 1881 + m. What are the prime factors of l?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 5. Let f be o(5). Suppose q + 1 - 4 = f. Suppose -2*c = -3*z - q*c + 1, 5 = -z + 5*c. Solve 0 = -z*r - r + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 6 - (4 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13707555 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 59, 163, 283, 425, 595, 799, 1043?\n\"Answer: k**3 + 2*k**2 + 91*k - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167213, -167202, -167183, -167156?\nAnswer: -167121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -213, -1127, 1, -2 in ascending order.\nAnswer: -1127, -213, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1. Suppose -j + 27 = -3*w, 3*w - 4*w = -5*j + 23. Sort 0, a, w in decreasing order.\nAnswer: 0, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 812*t**4 - 28468*t**3\/5 + 65296*t**2\/5 - 49488*t\/5 + 576\/5 = 0.\nAnswer: 12\/1015, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + w - 7 = 0, -4*w + 0*w = 4*s - 16 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u + 23760 = -4*u. Suppose -2*o + u = 8*o. What is the greatest common factor of 22 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 118 - 30 = -3*r, 2*n - 3*r - 92 = 0. Suppose g + 1 = 3*w, 9*g - 5*w - 17 = 5*g. Calculate the least common multiple of n and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/3 and 74\/188763.\nAnswer: 188763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/10 + (-352)\/(-40). Solve -i = -5*c + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 420*m + 7 = 417*m, 0 = 2*f + 13*m + 15 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (18 - 16)*23\/(-6) + 6\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/24*(-12)\/(-150).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150955786.\nAnswer: 2, 75477893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -443? (a) -1 (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**0)**(2\/7))**0)**(1\/14) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -70.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c + 4*c - c**2 + (c - 5*c + 0*c)*(0*c + 2*c + 0*c) + c**2 + 0*c**2 - 2*c**2 + 5*c**2 + 23*c**2 + 0*c**2 to the form b*c + g + s*c**2 and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 3*s - 3*s)*(1 + 0 + 1) + 1 - 1 + 2*s + (4 + 0 - 3)*(2*s - 5*s + 4*s) + s - 4*s + 0*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 558765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 6*q - 48. What is the greatest common divisor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(32) + -1.\nAnswer: -1 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2730 - 2738. Let i(q) = q**2 + 10*q + 5. Give i(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/69061152 and 95\/144.\nAnswer: 207183456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 14*k**2 - 15*k - 8. Let g be s(13). Let z = -19 - g. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 315 or 2\/134465?\nAnswer: 2\/134465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(4\/5)*x)*x**(-9) assuming x is positive.\nAnswer: x**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(4\/5)\/b**(2\/17))\/(b**1)**(-31\/4) assuming b is positive.\nAnswer: b**(2867\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -8*w - 14. Let j(q) = 17*q + 28. Let l(b) = 5*c(b) + 2*j(b). Let h be l(8). Find the common denominator of 59\/24 and ((-2)\/4 + 2)*h\/14.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (14*o - 910 + 426 + 13*o - 754 - 18*o)*(1 - 1 - 2*o).\nAnswer: -18*o**2 + 2476*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**2 - 4*g + 8. Give f(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -6)\/(5 - 3) - 30. Let q = -12 - j. Solve 0 = 5*p, 4*b + p - 2*p - q = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 217, 494, 883, 1384, 1997?\nAnswer: 2722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1166935602 to the nearest integer?\nAnswer: 34160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10201064?\nAnswer: 2, 1275133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.52 + 25.52. Let d = -39 + t. Let o = 4 + d. Which is the second biggest value? (a) o (b) 4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*m - 97*m - 327199 = 0. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ipihkfhnihfi. What is prob of sequence ifip?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2 + 11*c - 18. Let z(r) = -11*r**2 - 49*r + 71. Give 9*h(g) + 2*z(g).\nAnswer: 5*g**2 + g - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 10*v - 62. Calculate s(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.023703.\nAnswer: -0.023703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29186268, 29186273, 29186278, 29186283, 29186288?\nAnswer: 29186293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600*m + 4055 - 4461 = -46*m - 36416 for m.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 7*x + 18. Suppose 2*a - 6 - x = 0. Let u = a + 11. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11024 (base 5) in base 3?\nAnswer: 1001022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(312\/(-8))*5\/((-75)\/(-81))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7698104 a multiple of 568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/53, -0.2, -125\/7, 1, 3\/4 in descending order.\nAnswer: 1, 3\/4, 2\/53, -0.2, -125\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 3*o. Let z(r) = 41*r**2 - 9*r - 1. Determine -3*y(u) + z(u).\nAnswer: 38*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -19 + (-33 - -51) - -30*1. Solve 191 = 55*l - q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from {f: 4, q: 9, c: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 320 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -602 (b) 1\/5 (c) 60 (d) -4 (e) 2\/7 (f) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 18*c**2 + 20*c - 62. Calculate r(-6).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7*(-2)\/14*(-3 - -3)\/6. Let z = -0.1 + -0.2. What is the biggest value in -0.4, t, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - a - 1 = 0, 3*a = 14*m - 11*m + 21 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -60605*-4\nAnswer: 242420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -319, -716, -1191, -1750, -2399, -3144, -3991, -4946?\n\"Answer: -h**3 - 33*h**2 - 291*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 6:31 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601 is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbc when three letters picked without replacement from bckbbkkkbbbkcb?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 8*m**2 + 6*m - 4. Suppose 4*j = 11 + 13. Suppose -2*r + 28 = -j*r. Let i be o(r). Solve i*d = -4 - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142555788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-1\/4)*c*c*c**17*(c**3)**(-1) assuming c is positive.\nAnswer: c**(67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + p - 11 = -21*q, -3*q - p + 23 = 0. Solve 4*a = 2*j - q, 3*a + 4 = 2*a - 2*j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21604 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24 + 42 - 47)*(-2*m**2 - 2*m**2 - 8*m**2) to c*m**2 + u + r*m and give c.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1865, 1772, 1659, 1514, 1325, 1080?\n\"Answer: -2*s**3 + 2*s**2 - 85*s + 1950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6*23\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -346 - -964. Let o = x + -359. Suppose -y + o = 5*g - 82, -4*g = 2*y - 670. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cct when three letters picked without replacement from twcc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - 5. Let f(g) = -g - 4. Suppose 5*d = -5 - 10. Let y(i) = d*c(i) + 2*f(i). Let u be y(0). Sort 4, u, 0 in ascending order.\nAnswer: 0, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b9 - 4?\nAnswer: -4c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -308 - -313. Suppose 3*j + 3*i = 18, -d*j = -2*j - 3*i - 42. Solve 4*x = -x - 3*k + 4, 2*x + 4*k = j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93190 + -51357. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111011011010010 (base 2) to base 10.\nAnswer: -194258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*t**2 - 8*t**2 - 15*t**2.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j + 10. Let u be w(-7). What is the lowest common multiple of 5*(2 - u\/(-20)) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-297)\/(-24) + 1\/(-2) and 79\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.0567 - 2.0567. Is v bigger than -1354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -502*c + 16 - 469*c + 1332*c - 443*c.\nAnswer: -82*c + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 920554 and 55375?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 1. Let s be y(-1). Suppose -3*d = -s*d + 71. Does 27 divide (d\/(-4))\/(2 - (-28)\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1365268307*w**5 - 964776806*w wrt w?\nAnswer: -27305366140*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -5*t - 3*p, 3*t + 8*p - 5*p = 84. Solve -4*d + 11 = t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16458228 to the power of 1\/3, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, -0.3, -348, -1\/3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9271 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 - 16.530382\nAnswer: -15.430382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 582, 792, 1010, 1236, 1470?\n\"Answer: 4*f**2 + 198*f + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 10 = 2*m, 5*j + 0 = -3*m + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240877234.\nAnswer: 2, 13, 419, 22111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/8)\/(18689\/(-814) - -23).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 0*r**2 + 1\/120*r**5 + r**3 + 0*r - 2 + 0*r**4. Let v(p) be the third derivative of m(p). Let a(c) = -2*c. Determine v(a(l)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q - 2*q + 5*q + q + 4*q - 3 + q**2. Suppose 2*a - 8 = -2*s, 0*a - 3*s = a - 6. Calculate i(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0*2\/(-6))\/(-2). Suppose -3*b + 11 = -5*l - 0*l, 2*l - 4 = m. Calculate the greatest common divisor of 28 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 7:40 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**2 - 5*t + 18. Let b be y(-8). Calculate the smallest common multiple of ((32\/(-6))\/(-4))\/((-11)\/b) and 20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -624, -478, -238, 108, 572, 1166?\nAnswer: 1902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*p = -31, -3*y + 0 + 30 = 3*p. Suppose -k - 1 - 5 = 0. Let r be (18\/4)\/((-3)\/k). Is r greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-14)*(-8)\/10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1080 (base 9) to base 10\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189) - (sqrt(189) + -2*sqrt(189) + sqrt(189)))\/sqrt(9))\/sqrt(3) + -1.\nAnswer: -1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 18 = -2*r + 22, 2*r = 3*u + 11. Solve 5*n + 3*w = -31, n - 4*w - 7 = -r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143, 139, 121, 83, 19, -77, -211?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 2\/11 (c) 504130 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - 3) + 0\/(-1). Let t = 0 - -4. Suppose -7 - 5 = -t*u. Solve 4*h = -u*f + 6, 5*f + i*h = -h + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**4 + 504*r**3 - 993*r**2 - 504*r + 996 = 0. What is r?\nAnswer: -1, 1, 2, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6 + 14 = 0. Suppose 0 = s*o - 19 - 1. Let b(f) = -f + 3. Let x be b(o). Which is smaller: -1\/55 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -1, -50, -5 in ascending order.\nAnswer: -50, -5, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 181792.7 micrometers?\nAnswer: 181.7927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5463611555.0001006 - 5463610575. Let v = i + -980. Round v to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93 divided by 9.\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -387.422 to the nearest ten.\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 + 0 = -9*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 2*y - 2. Suppose -5*q + 11 - 1 = 0. Let z be j(q). What is the highest common factor of 12 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + o - 1. Let v be (4\/5)\/(2\/5). Let j be w(v). Suppose -j*r + 15 + 20 = 0. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*h - 42*h - 4*x - 29 = 0, -5*h = -4*x + 21 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bibbbbbiibibbbbi. What is prob of picking 1 b and 1 i?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 268*n**2 - 155*n**2 - 159*n**2 + 58*n**2. Let w(v) be the third derivative of v**5\/30 - 2*v**2. Calculate b(w(i)).\nAnswer: 48*i**4 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t + 2. Let f(i) = 11*i + 4. Let k(p) = -3*f(p) + 5*w(p). Let y(o) = -o**2 + 8*o - 9. Let s be y(6). Suppose 0 = 3*c + 3 + s. Calculate k(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27617 < 27618?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28357662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 24, 4, 3, 79 in descending order.\nAnswer: 79, 24, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.5 - -4?\nAnswer: -32.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/7 - 15\/(-35). Suppose 5*b - 4 = h*b. What is the third derivative of z**2 - b*z**6 + 0*z**6 - 3*z**2 + 0*z**2 wrt z?\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 528, 2, -1, 14.\nAnswer: -2, -1, 2, 14, 528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*t**3 - 35*t + 126*t - 92*t - 6*t**2 in the form q + z*t**2 + h*t**3 + b*t and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15708, -31418, -47128, -62838, -78548?\n\"Answer: -15710*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/((-520)\/16))\/((-6)\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/((-1064)\/(-171))*832\/(-48)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 3)*(-44 - 10 - 68)*(-o - 3*o + 2*o) to c + z*o and give z.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75 by -4.\nAnswer: -75\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -50*o - 68. Calculate i(-3).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - n + 1. Let i be y(1). Let k be -1*((-4)\/5)\/(i\/(-5)). Solve 4*z + 24 = k*s, -s - z - z = 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 7*t**5\/20 + 3*t**3\/2 - 15*t - 12. Let j(f) be the first derivative of n(f). Find the second derivative of j(q) wrt q.\nAnswer: 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (310\/(-30) - (-4)\/12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 75?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23766 - -25226. Calculate the remainder when s is divided by 183.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6291335106.\nAnswer: 2, 3, 7, 7133033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0) + 1 + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**3 + 302094*d**2 - 4832736*d = 0 for d.\nAnswer: 0, 16, 100682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 924384 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1026?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -40*i + 1. Let j = -8 - -7. What is the tens digit of f(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -9 + 24\/5*u**3 + 48\/5*u + 48\/5*u**2 + 3\/25*u**5 + 6\/5*u**4. Factor i(f).\nAnswer: 3*(f + 2)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 315200 + 12113?\nAnswer: 331313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4859, 9586, 14303, 19010, 23707?\nAnswer: 28394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-12 - (2 + -12)). Let i be 1\/(-2) - (-9)\/(-6). Sort i, 5, b.\nAnswer: i, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -2*i**5\/3 - 5*i**4\/24 + i**3\/6 - 21*i**2. Find the second derivative of m(o) wrt o.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 0.297, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - 2*d - d)*(58 + 164 - 313)*(-3*d**2 + 1 - 1)*(2*d + 0 + 0).\nAnswer: 1092*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/12369 and -69\/70.\nAnswer: 123690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = 567*q - 1085*q + 558*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -144.\nAnswer: -144, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1\/3, -4, 4, -439\/4, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(g + g + 0*g)*(-3142*g**4 - 1154*g**4 - 7716*g**4).\nAnswer: 24024*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3502\/51*-6*4\/(-16). Solve j = 39*o + 25 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04986? (a) 3 (b) -1\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20225 is divided by 107?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*n - 3*i + 17 = 362*n, 3*n + 27 = 5*i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 158 (b) -0.06 (c) 106 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4590.5404 + -0.5404. Let r = 4589.7951 - q. Let l = 0.276 + r. Round l to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvv when three letters picked without replacement from vvvgvggvgggg?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**19)\/(t*t*t*t\/t**21*t))\/(t*t**(16\/9)*t*t**(-8\/3)) assuming t is positive.\nAnswer: t**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -16. Let y = 169596.12 + -169596. Sort q, -1\/5, y, 4 in increasing order.\nAnswer: -1\/5, y, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**2 - r**2 - 2*r**2)*(176 - 124 + 232 + 50).\nAnswer: 668*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + ((-12)\/(-1))\/(-3). Let u = s - -5. Let b = -3 + u. Is b <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -9*a**2\/2 - 9*a + 20. What is the tens digit of b(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/18 - 606\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4 - 1 = 3*r, -25 = -d + 5*r. Suppose -12 = 2*w - d*w. Solve -12 = 4*j - 5*z, 2*j + w = 5*z - 3*z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 + 71.35?\nAnswer: 392.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**4 - 129582*t**3 + 2*t**2 + 3818*t - 15.\nAnswer: 12*t**2 - 777492*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**2 + 4217*y - 33678. Calculate f(8).\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-170)\/27*1 + -5 + 6 + 3. Which is smaller: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**7\/105 + 4*k**6\/75 + 7*k**5\/50 - k**4\/3 - 3393*k. Let l(n) = 0. Calculate n.\nAnswer: -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5971192.\nAnswer: 2, 53, 14083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.60635 grams to kilograms.\nAnswer: 0.00360635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/7 + (-208)\/(-364)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(7)*1*2)**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.17 - -2.57. Let r = -8 + 7.9. Let y = 0.09 + 0.11. Which is the nearest to y? (a) r (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5724092135?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 0 + 0*u + 17\/60*u**5 - 61*u**2 + 0*u**3 + 0*u**4. Let f(s) = 4*s. Give f(d(x)).\nAnswer: 68*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -437.34 + 429. Let x = m + 8.54. What is the closest to -1 in -4, -0.3, x, 0.06?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4532613, 4532616, 4532619?\nAnswer: 4532622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 31 = -p, -2*i - 2*p = p - 30. Let w(q) = -q**3 - 26*q**2 + 114*q + 42. Calculate the remainder when w(-30) is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + f + 8. Let s be m(4). Let k be (34\/(-8))\/(-1) + 1\/s. Suppose -v + 22 = k*x, -4*v + 2*x + 2*x = 12. Sort 1, -5, v, -4 in decreasing order.\nAnswer: v, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1325281?\nAnswer: -2\/1325281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1850 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o = 3. Suppose 4*a + 33 - 13 = 0. Let n = 6453 + -6457. Sort o, a, n, -1.\nAnswer: a, n, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-265 - 200 - 175)*(-2*z + 2*z + 2*z).\nAnswer: -1280*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 111 + 174734\/(-1568) + 2 + 2 + -4\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -350*p**6 + 16*p**3 - 43714*p**2 - 3*p - 2 wrt p.\nAnswer: -42000*p**3 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*k = 0, -1 = 3*h + 2*k + 10. Which is greater: h or -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106359 and 23232?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9163515633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-96290)\/6)\/((-137)\/5754). What is l rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4680 is divided by 4668.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-10)\/(-4)*16. Let d = 0 - -4. Suppose -d*g - k = -140. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9890 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -18.928.\nAnswer: 3.7856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68624 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((1\/3)\/(16\/(-12)))\/(3\/(-18084)) and 5?\nAnswer: 7535","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 9*l**2 - 44*l - 93. Let h be f(-12). Put 0.3, h, 0.4, -1\/8, -25 in ascending order.\nAnswer: -25, -1\/8, 0.3, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 2396\nAnswer: 1\/599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -11.1. Let k = m + 0.4. Let f = k - 0.4999974. Round f to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggjrgrrrrngjjjvgjrsj. Give prob of picking 2 j.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(304) - (sqrt(76)*1)\/sqrt(4).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 719662 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5068*u**2 + 8193*u?\nAnswer: -10136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -17571.\nAnswer: -122997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - o + 1. Suppose -5*m = -25, -4*w - m + 1 + 8 = 0. Let f(p) = 4*p**2 + 5*p - 5. Let y(k) = w*f(k) + 5*j(k). Let c(t) = t. Determine y(c(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-320)\/80*((72\/(-128))\/(-1))\/((-51)\/(-4)).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -1580.8583 - -1581. What is h rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -13331*k + 226630. Calculate n(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6431504 by -13861.\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.62, -1\/12497, 5 in increasing order.\nAnswer: -1\/12497, 0.62, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r. Suppose 0 = -w + 5 + 4. Suppose -5*j + 179*m - 180*m = -11, 0 = 5*m - 5. Let z(l) = 3*l. What is j*z(y) + w*b(y)?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1924*c + 7896 = -708*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -277 + 6*m**3 - 5*m**2 + 83 + 193 - 6*m to the form d*m + y + v*m**3 + u*m**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 1. Let s be c(4). Suppose -16*k = -11*k - s. Solve -7*j = -4*j - k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44830000 rounded to the nearest 1000000?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 2247 (b) -4 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iujjiiduijjimiij. Give prob of sequence iu.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 5:12 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 1168*j - 4718. Determine m(4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, v: 2, u: 1}. Give prob of picking 1 i, 1 u, and 2 v.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1080 divide 479890440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 2*o**2 + o + 30. Give q(5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -156534 and -2.\nAnswer: 313068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*n = -34, -6*n + 2*n = 4*d - 44. Suppose 4*o - 36 = -4*i, -2*i - 3*o + d*o = 12. Solve -i*z + 2 = -3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hctmv. What is prob of picking 1 m and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 16*r + 47. Suppose 11 = -d - 4*g, 73*g - 76*g + 3 = -3*d. What is z(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.44 times 25\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h + 57. Determine k(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v - 7. Let w be f(-4). Suppose 0 = -8*u + 3*u, -5*p + 265 = w*u. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59279 is divided by 8467.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003185 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbz when three letters picked without replacement from gcgggggzbcgbgczcbg?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -e793 (base 15) to base 13\nAnswer: -19395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.19 - -0.03. Let k = 0.2 + m. Which is the biggest value? (a) -2\/11 (b) k (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 853453?\nAnswer: 719, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/46697863 or -1?\nAnswer: -3\/46697863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -83*b**5\/5 - 161*b**4\/12 + b**3\/3 + 58*b - 1. What is the third derivative of j(p) wrt p?\nAnswer: -1992","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.6 - 3.4. Which is the third smallest value? (a) 0.3 (b) 4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -8\/7 (b) -156 (c) -12 (d) -3\/2 (e) 25 (f) -2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times -79.96?\nAnswer: 959.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 + -44 - 10 - -84.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*i + 14410 = 970*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -430557*d*p**3 - 1398107*d*p + p**4 + 2*p**3 + p wrt p?\nAnswer: -2583342*d*p + 12*p**2 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 140419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 566*p - 286*p = 275*p + 195 for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 4*v + 15, 0 = -5*l + l - 3*v - 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, 2, 1.\nAnswer: -107, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4*q)**(17\/5)\/(q*q\/(q\/((q**(-19)\/q)\/q*q))*(q*q**(1\/46))\/q) assuming q is positive.\nAnswer: q**(1655\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.0469, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 5. Let a be d(-5). Let g be 1\/5 - a\/(-11). Put g, -10, 0.1 in descending order.\nAnswer: g, 0.1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 9:09 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 11*j - 7. What is y(3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -107\/330 - -4\/165. Which is the second biggest value? (a) -2\/9 (b) q (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 5*d - 30, 2*a - 23 = -4*d + 3. Let z(v) = -4*v**3 + a*v**3 + 10 - 7 - 4*v + v**2. List the prime factors of z(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 93\/124*(-4)\/(-3). Let x(g) = -38399999*g**2 - 6*g + 5. Let b be x(n). Round b to the nearest 1000000.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1210\/(-2420)*((-672)\/20)\/3\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 61\/4 + 6\/(-24). Let z be 5\/2*12\/m. Suppose 5*k = -0*h + 4*h + 43, -z*k = 2*h - 28. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82 + 149. Suppose 3*t - 20 - 38 = w, 5*w = -2*t + m. Calculate the remainder when t is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 - j**2 - j + 2. Let w be p(1). Let u = -64 - -64.02. What is the third smallest value in w, 5, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of (-4256)\/(3 - 35)*(-5)\/(70\/(-348))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 16*o + 45*o - 3 + 4 - 3. Is k(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + n + n = -223, 4*q - n - 176 = 0. Suppose 2*p - 5*u + 7 = 0, 2*p + 3*u = -11 + 28. Suppose q = p*i + 15. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x - 35. Suppose u + s + 4 = 0, -u + 3*u = 3*s + 12. Determine o(u).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -52*m - 619. Let a be h(-12). Let c be (-1)\/(-3) + (-1)\/3. Solve -t + w = c, -a*w = -0*t - 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -195.58 - -174.6. Let t = 1.11 + j. Let w = 20 + t. Round w to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 175.9 + -179.064. Let d = c - -0.164. What is the nearest to -0.1 in 4, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -684*r + 3104 + 16888 = 492*r for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75 (base 11) to base 4.\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.9, -2\/33, 25753 in ascending order.\nAnswer: -2\/33, 5.9, 25753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 44412 divided by -1\nAnswer: -44412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c - 21. Let d(n) = 18*n - 1093. Let q be d(61). Let l(b) = 3*b + 22. Give q*l(f) + 6*w(f).\nAnswer: 3*f - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3640.5um in millimeters?\nAnswer: 3.6405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14097*h**3*t**2 - h**3*t + 256982*h*t**2 - 2*h*t - 2 wrt h.\nAnswer: -84582*h*t**2 - 6*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/4*c - 10*c**3 + 55\/4*c**2 + 0.\nAnswer: -5*c*(c - 1)*(8*c - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13301 is divided by 173.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 13. Let k be w(6). Suppose 4*j - k = 5. What is the highest common divisor of j and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.53854619 rounded to 4 dps?\nAnswer: 1.5385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104376?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3*1)\/((-6)\/24)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 396759?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 3*v**2 - 5*v + 6. Let i be r(4). Let n(g) = 9*g + g**3 + 2 - 6 + 12*g**i + 5 + g. What is the units digit of n(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 q when two letters picked without replacement from {j: 2, t: 3, d: 2, q: 6}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -2, -5, -799 in decreasing order.\nAnswer: -1, -2, -3, -5, -799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 5*i - 4*s - 965 = 0, -2*s = i - 193. Suppose i = 3*n - 5*l, -3*n + 3*l = -l - 188. What is the least common multiple of n and 52?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.8 + 1.73. Let p = -0.57 - o. Let v be 2\/5*50\/(-30). Which is the closest to v? (a) 8 (b) 0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 12, o: 7}. Give prob of picking 3 m and 1 o.\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 1115*f + 130900.\nAnswer: -5*(f - 85)*(f + 308)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -35, -290, -715, -1310, -2075, -3010?\n\"Answer: -85*r**2 + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*(-10)\/2400*-24.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1) + -5 + 10 + -12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + (-4*(4 + -4*sqrt(1216)*2) + -2*-4*1*(sqrt(1216) + sqrt(1216)*-2))**2.\nAnswer: -6144*sqrt(19) + 700673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 455523883, 455523882, 455523881, 455523880?\n\"Answer: -i + 455523884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**19\/p*p*p\/(p\/(p**10*p)))\/(p**6*p**(1\/23)\/p) assuming p is positive.\nAnswer: p**(574\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 14 + -12 + 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8788 + -6248269\/711. What is the third biggest value in s, -4, 2, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11 + 10*a + 30 + 75*a**2 - 10*a wrt a?\nAnswer: 150*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, n: 5, f: 4, i: 1, z: 1, a: 1}. What is prob of sequence nz?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 9. Let a be n(-9). Let w be a\/(2 + (-15)\/3). Suppose w = -5*f + 2*f + 12. What is the remainder when 18 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 3*g**2 + 2. Let c be h(-3). Suppose -3*p + 7 = -c. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.083 - 0.3707\nAnswer: -4.4537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 44588 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: In base 6, what is 21031 - 4?\nAnswer: 21023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from rxplp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 v when two letters picked without replacement from prhddprrrrvdddr?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (182 - -3)\/(3\/3). Suppose -2*y - y = -4*g + c, 15 = 3*y. What is the greatest common factor of g and 550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 955635 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 3:55 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -610.93, -2, -3, 0 in decreasing order.\nAnswer: 0, -2, -3, -610.93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85\/(-51))\/((-7)\/(6090\/29)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44 + -301152051?\nAnswer: -301152004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 3*i + 1350. Let v be (40\/i)\/(2\/(-5)). Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*u = 12, 2*z + 2*u + 2 = -10. Sort 1, 4, z, -5 in descending order.\nAnswer: 4, 1, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 32.81052 millennia?\nAnswer: 32810.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*n - 72*n = -36*n - 1313 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9342 and 2322.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 1\/6*h**4 + 1\/210*h**7 + 4*h**2 - 1\/20*h**5 + 2\/3*h**3 - 1\/60*h**6 + 0*h + 0. Factor b(g).\nAnswer: (g - 2)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39278, 38323, 37368, 36413?\nAnswer: 35458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*d = 132*d + 230 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/2*-6*3\/9. Which is the third smallest value? (a) -3\/7 (b) 0.4 (c) 2\/15 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 420176 (base 13) to base 8.\nAnswer: 5704640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112 + -121. Let t be b\/(54\/8)*18\/(-4). Solve 20 = c - t*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a microgram in nanograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11173 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-9)\/(-12))\/(-1))\/(6\/1776). Is t greater than or equal to -221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 28. What is m in -m**4 + 2*m**c - 3*m**4 + 4*m**2 + 2*m**3 - 4*m**4 = 0?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-nine halves of a meter?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*-3*6 - sqrt(114)*-5*5)\/(-5*sqrt(18)\/(sqrt(33)\/(sqrt(11)*-2 - sqrt(11)))).\nAnswer: 7*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -293697463 at least -293697463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2476*t = -3*s - 2479*t - 60, 5*s + 13 = t - 2*t - 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*a**2 + a + 2*a**2 + a**2 + 3*a**3 in the form q*a**2 + u*a**3 + y*a + v and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 598\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6151170 divided by -379\nAnswer: 16230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 40490.856 from 0.5.\nAnswer: -40490.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -59.2, -0.6, -5.76?\nAnswer: -59.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -13*w + 70. Let k(b) = -b + 14. Let l be k(w). Solve -5*p - y - l - 16 = 0, 3*y - 1 = -p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4295123 times -0.26?\nAnswer: -1116731.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 11*u**2 - 5*u + 80. Let v(t) = -9*t**2 + 4*t - 64. Let m(g) = -4*o(g) - 5*v(g). Let r(b) = -b + 22*b**2 - b + 3*b. Calculate m(r(c)).\nAnswer: 484*c**4 + 44*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 5:17 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 j when four letters picked without replacement from zjlsrrljrjrrprlzrr?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -171*t - 7059. Let i be w(-43). Solve 0 = -i*q + 290*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**4\/6 - 6*y. Let c(h) be the third derivative of 0*h**3 + 0*h + 0 + h**2 + 1\/12*h**4. Calculate q(c(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 0*d + 50. Let j = d - -13. Calculate the lowest common multiple of j and 4\/(-10) + (-54)\/(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409006 is divided by 460.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-18) + 0 + 22\/18. What is the highest common factor of 2 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-2 - (-1 + -2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(2\/49))**16\/(j**20*j**(-25\/6)) assuming j is positive.\nAnswer: j**(-143\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -195*o**3 + 5*o**2 + 5*o - 143. Let k(d) = -584*d**3 + 16*d**2 + 16*d - 428. Let f(c) = 16*g(c) - 5*k(c). Find the first derivative of f(r) wrt r.\nAnswer: -600*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 77132, -23, -4, -2 in decreasing order.\nAnswer: 77132, -2, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f - 1180*f**2 - 23*f + 4 + f.\nAnswer: -1180*f**2 - 16*f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 23*f + 173. Calculate j(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 2*g - 3*i, -22*g + 60*g - i - 13 = 27*g + 37 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 35712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2018, 2528, 3034, 3530, 4010?\n\"Answer: -j**3 + 4*j**2 + 505*j + 1510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 12:00 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 596*a - 1890 = 407*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7840 + 27959. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 532 - -16221?\nAnswer: 16753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 7*r**2 + 23*r + 8. Is s(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264 divided by -66.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) -16 (c) -1 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1018*y + 2369. Is c(-9) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 39*c**2 - 3*c.\nAnswer: -39*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, l: 4, q: 2, p: 1, y: 3}. Give prob of sequence pl.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 132150 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 8 + (-9 - -3) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, -5, 5, 4.\nAnswer: -5, 4, 5, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (-16 + 5) - -12 - -40\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i**3 + 0*i**3 - 211*i + 416*i - 205*i.\nAnswer: -15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1196 = -13*o - 5122. Let b = -264 - o. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 28325*v - 21215424. Determine o(749).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26531\/286 - 1242\/13. Suppose 28 = 5*t + 3*n, 2*n + 20 = 3*t + 3*n. Calculate the common denominator of -3 - -1 - ((-210)\/t + 3) and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27\/7, 3\/5, 1.1, -4\/3.\nAnswer: -4\/3, 3\/5, 1.1, 27\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 11600*x - 46342. Calculate p(4).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 8*c**2 - 3*c - 4. Let p be g(-8). Suppose 0 = -0*b - b - p. Let r = b + 30. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2786\/345 - -114\/115. Let j(f) be the first derivative of -32\/5*f - 9\/5*f**4 + 20 + k*f**3 - 56\/5*f**2. Factor j(s).\nAnswer: -4*(s - 2)**2*(9*s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 + -689?\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 - 3*u**3 + 22 - 12 + 29 + 5*u**2 + 9 in the form d*u**3 + j*u + x*u**2 + h and give h.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p - 8. Let v be l(6). Let z(b) = -6*b + 13*b + 0*b**2 - 2*b**2 + v + b**2. Let s be z(8). Solve -3*f - s = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 29\/2 of a milligram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.106 plus -73465564?\nAnswer: -73465564.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**4 - o**2 + 3*o + 44?\nAnswer: 36*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 3*u**6\/5 - 11*u**5\/15 - 53*u**2 - u. What is the third derivative of t(n) wrt n?\nAnswer: 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498 a factor of 16651626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 19 - 2*q + 23.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**2 - 45*y + 43. Give d(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 48 = -2*d, 0 = -46*l + 50*l - 2*d + 56 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1553, -1571, -1589?\n\"Answer: -18*o - 1535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 15. Suppose -j*g = -5*w - 0*w + 52, 8 = 4*g. Let q(n) = 5*n - 3. What is the remainder when q(5) is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen sevenths of a week?\nAnswer: 27360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 101439.\nAnswer: 101439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 24 = -8*h, -73 = -h - 71 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6436, -51580, -174144, -412840, -806380, -1393476, -2212840?\nAnswer: -3303184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5\/11 - 78*t**4\/11 + 1030*t**3\/11 - 3450*t**2\/11 + 2500*t\/11 = 0. What is t?\nAnswer: -50, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 448.06 + -419. Let p = o - 2.66. What is p rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(33\/((-12870)\/273))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -395508064 - -284567.\nAnswer: -395223497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(126)*2 + sqrt(126) - sqrt(126))*1)\/sqrt(6))\/((sqrt(132)\/sqrt(4))\/sqrt(11) + 2*sqrt(147)).\nAnswer: 2*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 9676 - 2186. What are the prime factors of p?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000111 - 100?\nAnswer: 10000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 3 - 0. Let z be (-1)\/1*(h - 6). Suppose -z*b = -4*o + 45, -b = 3*o + 2*b. Solve 5 = -o*r + 30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.628886g in kilograms?\nAnswer: 0.000628886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 680121*y + 8. Let j(i) = 59*i. What is x(j(p))?\nAnswer: 40127139*p + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -3*l - 0*i + i, -4*i + 16 = 0. Suppose -4*y = 3*w - 49, -y = 5*w + 9 - l. Does 5 divide (5 + y)*(-1)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-64))\/(((-3)\/(-16))\/((-147)\/(-392)))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -320.132 * -2.\nAnswer: 640.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 0 - (-1 + 1)) + (-1 - -8)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - 11*a. Let i(c) = 5*c**2 - 5*c - 7. Let y(q) = -3*q**2 + 2*q + 4. Let v(h) = -4*i(h) - 7*y(h). Give -11*v(g) - 6*w(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0451 - -0.0025. Let y = -0.04260465 - m. Round y to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/7 - 290*g**2\/7 + 5064*g\/7 + 17856\/7.\nAnswer: 2*(g - 124)*(g - 24)*(g + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**4\/12 - l**3\/6 - l**2\/2 + 2*l. Let m(h) be the first derivative of n(h). Let u(x) = x + 1. Calculate m(a) + 3*u(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23127 + 12657. What is p rounded to the nearest one hundred?\nAnswer: -10500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/6)\/((1044\/(-1305))\/((-344)\/(-30)))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 12 - 2, 10 = 3*b + f. Let i = 13 - b. Let v = i + 0. Solve 25 - v = 4*a - 4*q, 2*a + 4*q + 22 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r - 12. Let a(y) = y**2 + 8*y + 5. Let h be a(-8). Suppose 0*o = 2*n - o - h, -3 = n + 5*o. Calculate the least common multiple of n and g(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/((-16)\/17))\/(500\/(-2000)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1126, -1531, -2206, -3151, -4366, -5851, -7606?\nAnswer: -9631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 + -40. Calculate the highest common factor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 4:28 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/11 (b) -2 (c) -6\/7 (d) -3 (e) -1\/3 (f) 1\/8 (g) -85\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 123 - -2?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1344 and 16?\nAnswer: -2.1504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 718091063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 0*g + 1\/60*g**6 - 1\/30*g**5 - 9*g**2 + 0*g**3 + 0 - 1\/6*g**4. Factor w(o).\nAnswer: 2*o*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 + 4*v**2 + 11*v**2 + 4*v**2.\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*t - 5*o + o, 0 = 5*t + o + 5. Suppose -12 = -5*c - 4*b, b - 3 = -c + 4*c. Suppose t*l - l + 16 = c. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6*u = 0. Solve m + m - 8 = u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3941166 + -28.\nAnswer: -3941194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2746442, 5492883, 8239324, 10985765, 13732206, 16478647?\n\"Answer: 2746441*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87682439 by -518831.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2053.1 + 2053. What is the fourth biggest value in 49, n, 8, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-18))\/((-58)\/(-6)). Which is greater: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1699*h + 1695*h = 2*y - 4, -124 = h - 12*y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*w**2 - 7*w - 7*w + 14*w to the form i*w + c*w**2 + y and give c.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-10))\/((-69)\/345).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*p**2 - 5*p**3 - 73*p**2 + 46*p**2 + (0*p**3 - 2*p**3 + 3*p**3)*(-6 + 0 + 4) to the form y*p + f + d*p**2 + k*p**3 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**3 + 8*f**2 + 650*f + 2630. Give s(-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1589, -5\/2.\nAnswer: -5\/2, 0.5, 1589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 15*f. Let p be 3 - (-1 - -1) - 15. Let y be c(p). Suppose 54 = 5*w - y. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 15*m**2 - 12*m + 14. Let b be c(-15). Let f = 200 - b. Which is bigger: 38\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 - -0.5. Let x = -5.4 - -5.9. Which is the closest to -0.1? (a) 1\/5 (b) p (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 - 2*n**2 + 4*n**2)*(0*n**3 - 3*n**3 + 2*n**3) - 2*n**5 - 2*n + 2*n - 5*n**5 + 2*n**4 + 6*n**5 + 0*n**4.\nAnswer: -3*n**5 + 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 6184656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r + 12 = 0. Let l(m) be the second derivative of m**4\/12 - m**3 + m**2 - 70*m - 6. What is the units digit of l(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x - 2. Let g(r) = r. Determine -6*g(l) - 2*h(l).\nAnswer: 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 5, -415, 4, 2\/13, -4 in increasing order.\nAnswer: -415, -4, -0.01, 2\/13, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 2*u + 58 - 72 = 0, 3*y + 5*u = 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r = -11*r + 5*o - 11, 4*r - 5*o + 13 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -53*y**2\/2 + 20*y + 125. Let z be n(-2). Let m be ((-8)\/10)\/((-4)\/90). What is the greatest common divisor of z and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -8*b**2 + 4*b + 3*b - 4 + 0*b**2 + b**3 - 5*b. Let v be h(8). Suppose 3*c - 16 = -5*x, x + c = -0*c + 4. Solve 2 = x*z + v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 - 480*q. Let g(l) be the first derivative of -2*l**3\/3 + 185. What is o(g(m))?\nAnswer: -8*m**4 + 960*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1151 - -1155. Let t be 9\/(-6)*(-4)\/(-6). What is the second smallest value in i, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5602755 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (22 - (-21 + 42)) + -19\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -322223 + 200013?\nAnswer: -122210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1103056589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2153*u + 1502*u + 2497*u + 7824*u to c + b*u and give b.\nAnswer: 13976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.5366 times 1\nAnswer: 0.5366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**2 + 6*t + 5. Let r(x) = x**2 + x. Let p be 1\/(1\/(-12) + 4\/12). Let b(u) = p*r(u) - m(u). Is b(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.2 in -5, 0, -0.2, -2\/9, -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2762317747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -113130001?\nAnswer: 113130010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 671*v**3 - 1361*v**2 + 5*v - 9. Determine f(2).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**5\/210 - f**4\/42 + f**3\/21 + 3*f**2\/2 + 5*f. Let n(c) be the first derivative of j(c). Factor n(y).\nAnswer: 2*(y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1905 + 2094. Calculate the lowest common multiple of 189 and i.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/2 + 7\/(-1). Let d(o) = -2*o**3 - o**2 + 2*o + 1. Let p be d(-2). What is the units digit of ((-4)\/z)\/(6\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 439700 to the nearest 10000.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10596253.2 rounded to the nearest 10000?\nAnswer: -10600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 6)\/(36\/(-216))*9\/(-27)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 147?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33308267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 50, -69026 in decreasing order.\nAnswer: 50, -2, -69026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(8)*1) - (4 + (sqrt(28)\/sqrt(4))**2)) + (-5*-2*sqrt(35) + sqrt(35))\/sqrt(5).\nAnswer: -11 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1589 + 1599. Solve b*p - 15 = 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -107, 0, 1, -8 in ascending order.\nAnswer: -107, -8, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(1138\/15363 - 1130\/(-54))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3701455*r**2*t**3 + 5*r**2*t**2 - 8*r*t**2 - 2009*r - 2*t**2 + 3*t wrt t.\nAnswer: -22208730*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -1375 + 1378. Let l = 2 + -2. Factor 2\/7*m**2 + l - 12\/7*m**d + 2\/7*m.\nAnswer: -2*m*(2*m - 1)*(3*m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - sqrt(210)\/(sqrt(90) + sqrt(10)) - -1*(1*sqrt(21) - sqrt(21)))\/(-1*sqrt(12)*-4).\nAnswer: 3*sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 499 + 524*g + 495 - 988. What are the prime factors of b(3)?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence my when two letters picked without replacement from {m: 2, g: 6, c: 6, o: 2, y: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 7 = p + f, -p + 9 = -5*f. Calculate the remainder when 8 is divided by -2*1 - (-9 + p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1071*r - 414*r + 4995*r - 258440 = -809*r for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -2*w - 18*u, 45*w + 49*w - 4*u = 96*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63*g**2 - 205.\nAnswer: -126*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 12*i**2 + i + 16. Suppose 8*g + 2*p = -96, -5*g + p - 63 = -3. Let a be s(g). Solve 2*o - 18 = -a*f, -5*o = -o + 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 11:38 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 145 + -122. Let h(i) = 0*i - 3*i - k + 8 - 7*i**2 + 26. Let f(b) be the third derivative of -b**5\/15 - b**4\/12 + b**3 - b**2. What is 11*f(d) - 6*h(d)?\nAnswer: -2*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.5447504km?\nAnswer: 544750400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 14*f - 12. Let h(i) = -i + 1. Let x(j) = 12*h(j) + w(j). Let g(v) be the third derivative of v**4\/4 - 18*v**2. Determine x(g(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 4\/5*5. Let k = p - -3. Solve k = -5*n + o + 2, 3*n + 0 = -4*o + 15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10903 is divided by 31.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 2, b: 3, x: 1}. Give prob of picking 1 r and 1 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15268 is divided by 4715?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*y**5 + 187*y**3 - y**2 - 10*y - 574 wrt y.\nAnswer: 60*y**3 + 1122*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-114)*82 - 5*88\/(-640)*-16\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/29 or 3?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 14225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence caw when three letters picked without replacement from awjjcccchhjw?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 1:15 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*f = -784 - 638 - 281 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 647*m**2 + 0 + 1 - 2*m + 38*m**2 + 4 - 15*m**2.\nAnswer: 670*m**2 - 2*m + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 3 + 0 = -59*t, 9439*m = 2*t + 9434*m + 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*q*y**2 - 4*y**2 - 28 wrt q?\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 18. Let y be (-1)\/45 - v\/105. Is 0 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 - 331?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 2*r**2 + 4*r + 2. Suppose 3*o + 3*m = -15, 0 = -0*o + 3*o - 5*m + 15. Determine y(o).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*sqrt(13) + -4)*2.\nAnswer: 2 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-18))\/(42\/(-3402))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -632*g**3*y**2 - 753*g**3 - 2*g**2*y**2 - 2*g**2*y + 10874*y wrt g.\nAnswer: -3792*y**2 - 4518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*k = -0*k + 10, 4*t + 2 = k. Suppose 0 = -5*q - 3*f + 14, q + 4 = -t*q - 4*f. Solve q*u + 5 = -7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9188*c - 1145*c - 6994*c + 1750*c.\nAnswer: -15577*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 1)\/(((-98)\/35)\/(-7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16636 = 1232*u - 118892 for u.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/29 (b) -0.3 (c) 3\/2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 + 1 - 1) + (49 - (-55 + 107))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1098222\/695 or -1580?\nAnswer: -1098222\/695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 44 + ((-24)\/6 - (-4)\/2). Suppose -p - p + v = 0. What are the prime factors of ((-9)\/7 - -1) + 1917\/p?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81100211?\nAnswer: 29, 2796559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of ((15\/9)\/(-5))\/(19\/(-33117))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 761 - (-7 - -5). Suppose -2*n = -6*n + y. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 - 5*2\/(-5). Let a(i) = i**3 - 11*i**2 + 10*i + 7. Suppose 3*m - 4*m + 5*j = -45, 4*m + j - 75 = 0. Calculate the remainder when m is divided by a(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -335 divided by 67?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2151, 4493, 7037, 9783, 12731?\n\"Answer: 101*u**2 + 2039*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1067262982?\nAnswer: 2, 79, 6754829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*i + 165 = 3*i, -i - 5 = 0. What is the remainder when 8\/x*222 - 3\/2 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -459*q - 1030*q - 909*q + 456*q - 6 + 9.\nAnswer: -1942*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/((sqrt(9) - sqrt(9)*-2) + sqrt(9)))**2 - (sqrt(704) + 1 + sqrt(704)).\nAnswer: -16*sqrt(11) + 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -0.13. Let w = -0.09 - z. Let i = w + 0.02. What is i rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 58.1 and 0.056?\nAnswer: 3.2536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -27, 3, 19, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(684) + 1 + sqrt(684))**2 + 3 + sqrt(19)*2*-6 + -3 + -1.\nAnswer: 60*sqrt(19) + 2744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 0*h**3 + 0*h**4 + 0*h - 14*h**2 + 1\/60*h**5 + 0. Let s(x) = -57*x. What is s(k(z))?\nAnswer: -57*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1675\/310 + -6)\/(-3*35\/42) and 42\/65?\nAnswer: 2015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*r + 6*r - 20*r)*((r - 4*r + 2*r)*(-5 + 4 + 0) + r + 0*r + 0*r - r - r - r + 1 - 3*r - 1) to the form c*r + a*r**2 + z and give a.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 49324 = 4*s, -4*s + 46219 = -k - 3093. Let o = -8280 + s. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2822*s + 878*s**3 - 2822*s)*(-2*s - s + 2*s + (-2 - s + 2)*(-5 + 4 + 2) - 2*s + 2*s - 2*s).\nAnswer: -3512*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwvvvvwvwvvv. Give prob of picking 3 w and 1 v.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*s = 29*s + 8. Let g be (-10)\/15 + s + 3\/(-9). Let v be -3*g - -2*15\/10. Let k(r) = -r + 3. Give k(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 282*b + 8818. Calculate k(30).\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -110314 take away -48.95753?\nAnswer: -110265.04247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 509\nAnswer: -3\/509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 4*z - 3 = 7*v, -3*v + 9 = 3*z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - -17. Suppose -2*s - 4*l = f - 96, 3*l = s - 38. Calculate the highest common divisor of 14 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v + 2 - 5*v + 2*v**4 + (5*v**3 + 0*v**3 - 2*v**3)*(-v + v - 2*v) - v**2 + v**4 + v**2.\nAnswer: -3*v**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 10 = 2*q - 2, -3*i = 5*q + 8. Suppose 5*f - 15 = i*f. What is the remainder when 44 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n + 245 = 365. Solve -2*k + 3*r + 12 = 3*k, -4*k = n*r - 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -1\/7, -5, -4, -2\/11?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014416 rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 467063*l**3 - 4*l - 11*l - 466983*l**3 + 15*l.\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*6 + 2\/2. Let m(j) = 133*j - 16. Let n be m(1). Calculate the highest common divisor of r and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**2 + 3*z. Let x(t) = -t**2 + t. Let u(a) = -c(a) + 3*x(a). Let s(y) = 3*y**2. Give u(s(r)).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45084.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-50)*44\/594*45?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/2 + 237895*j + 475791\/2 = 0. What is j?\nAnswer: -1, 475791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 4:01 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116134*a - 116132*a = v + 4, 4*a - 32 = 6*v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*t = -t - 117, -4*t = 4*y - 156. Let k = 41 - y. Find the third derivative of -g**4 - 9*g**2 + 3*g**2 + 0*g**k wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 y, and 1 r when three letters picked without replacement from wnwppnppywyrncw.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrfg when four letters picked without replacement from xrlfxdrrxrrg.\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybgq when four letters picked without replacement from {q: 2, i: 1, y: 3, b: 10, g: 1}?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5\/4 + 3*s**4\/4 - 3*s**3\/2 - 7*s**2 - 6*s.\nAnswer: s*(s - 3)*(s + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.26877613 and -2.1.\nAnswer: 0.564429873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -67622\/8897 greater than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-6)*(0 - 4). Suppose -7*h + 2*h + c + 215 = 0, -4*h + 193 = -5*c. What is the remainder when h is divided by l + 3 + (1 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1305324 and -1305326 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/3 (b) 11 (c) 1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -4. Let o = -291 - -289.948. Let r = o + 0.052. What is the third biggest value in 0.3, r, 4, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4*b - 3)*(-4*b + 7*b + 2*b + 4*b - 6*b + b + 3*b + 0*b + b + b - 6*b + 4*b + (-b + 5*b - 3*b)*(3 - 3 - 2) + 2*b + 0*b - b).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 160.96 and 41594057?\nAnswer: 41593896.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0389756 and -1823.86761.\nAnswer: -1823.9065856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-1)\/(-2) + 0). Let v be (40\/30)\/(b\/3). Suppose v*k - 4*o = 146, 2*o - 4*o = 4*k - 342. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.283 + -0.117. Let w = 0.059 - 0.009. What is the nearest to 0.1 in 4, t, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5*(sqrt(320) - (sqrt(320) + 1)) + -1*(-1 + sqrt(320)))**2*2.\nAnswer: 128*sqrt(5) + 672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*l**2 - 57*l**2 + 80324*l**3 - 79935*l**3.\nAnswer: 389*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.969 - 0.031. Let i be 1 + (5 - 3) + -1. Let l be (-9)\/(-6)*i\/(-3). Which is the nearest to l? (a) 1 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*i - 2 = 2*f, 2*i = 3*f + 8. Let w be (-301)\/(-14) - (-1)\/i. Suppose 15 + w = 3*l. Solve -6 = 2*d + s, -5*d = 5*s - l + 37 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -925965*s**3 - 97470*s**2 - 3420*s - 40.\nAnswer: -5*(57*s + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 26*w + 54 - 188 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669367 is divided by 5398.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jllj when four letters picked without replacement from {l: 5, j: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytr when three letters picked without replacement from {x: 4, m: 2, y: 1, r: 1, t: 1}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29208 by -4.\nAnswer: -7302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (75\/(-2))\/3*(-904)\/(-565)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 + 0 - y)*(87*y**2 + 63*y**2 + 256*y**2) to b*y**3 + a*y**2 + x*y + w and give b.\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 6 = 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -3*o. Find the third derivative of k**5 + 8*k**o + 4*k**6 - 4*k**2 - k**5 wrt k.\nAnswer: 480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183 - 0.048.\nAnswer: -183.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14830404, 29660811, 44491218?\nAnswer: 59321625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 + -47 + (-28 - -21 - -44) + -19?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -477*d**2*w**2 + 3*d**2 + 2*d*w**2 - 2*d + 4*w - 3632 wrt w?\nAnswer: -954*d**2*w + 4*d*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11\/28 (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 + -8 - 2 - -4 - -18) + -4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -360 + 414. Calculate the highest common divisor of o and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**2 + 188*h + 6816 = 0. What is h?\nAnswer: -24, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d - d)*(d - 2*d + 0*d) + 2*d**2 - d**2 + d**2 + 2*d**2 - 5*d + 5*d + 2*d**2 - 3*d**2 - 8*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/(-24) - -2 - 1342\/2640?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/39 - 70\/130\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.9, -6, -4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17514 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u - 17. Give w(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 418 + -415. Let i(r) = -2*r + 10. Let t be i(j). What is the nearest to 1 in -2\/3, -10, t, 9\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18831 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 174 and -27?\nAnswer: -4698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 3*u**5\/25 - 7*u**4\/10 + 23*u**3\/15 - 8*u**2\/5 + 4*u\/5 + 7. Factor h(d).\nAnswer: (d - 2)*(d - 1)**2*(3*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*((-50)\/(-60))\/((-5)\/(-9)). Let d = 0.3 + -0.5. What is the nearest to n in d, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*y**4 - 680*y**3 + 240*y**2.\nAnswer: 5*y**2*(y - 12)*(11*y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 v, and 1 j when three letters picked without replacement from vjnnb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 501 divide 173791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -2 + -5 + (0 - -3) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 24852996\nAnswer: 1\/24852996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, w: 6, y: 1, u: 4}. Give prob of picking 1 d and 1 u.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 1314\/5 and 263 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 133*l + 1 - 274*l + 140*l - 5*l**2 in the form i*l + a + s*l**2 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -202*n**2 + 70*n + 105. Let i(q) = -12*q**2 + 4*q + 6. Let r(l) = 6*f(l) - 105*i(l). Let z(w) = -6*w. Determine r(z(m)).\nAnswer: 1728*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6015, 5965, 5885, 5775?\nAnswer: 5635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3666920 rounded to the nearest one hundred thousand?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 4930713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 12960?\nAnswer: 12960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -6. Solve 4*m + c = 5*n - 5, 0 = -2*n + m + 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 28203.808.\nAnswer: 28205.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*k**6 - 6829976*k**4 - 49029126*k**2 wrt k?\nAnswer: 840*k**3 - 163919424*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyffffkffcyffyfcfkf. What is prob of sequence kef?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5610009089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 1:46 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5908209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m**3 + 3*m**3 - 4*m**3.\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g - 26. Let n be a(7). Let w(r) = r. Let f be w(5). Solve f*q - q = -n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*d = 0. Suppose 0 = 4*s + 4*j + 2960012, -5*s = -d*j + 4*j + 3700012. What is s rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 750209, 750208, 750207, 750206, 750205?\nAnswer: 750204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*n + 612. Is n\/(-8)*8\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/15)\/((-48)\/18 - 0). Suppose 4*r = -3*z - 282 - 105, z + 5 = 0. Which is smaller: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1034 is divided by 22.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10982 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f - f + 2*f + 4*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 5 + (-2 - (-4 - 3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 p, and 1 e when three letters picked without replacement from {n: 2, e: 2, p: 1, m: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -8594, 2\/41, 1\/10, -2 in decreasing order.\nAnswer: 1\/10, 2\/41, -2, -8594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 181 = -11*o, 965*a = 960*a - 4*o + 45 + 24 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 5*j**7\/6 + j**4\/4 + 13*j**3\/6 + 15*j + 1. What is the third derivative of m(g) wrt g?\nAnswer: 2100*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 131*f**2 - 14*f - 25. Let i(o) = 87*o**2 - 9*o - 16. Let d(b) = -7*i(b) + 5*l(b). Is d(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-224) + (-2)\/(-4)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120044070 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.6 + -0.4. Let s(j) = -j**3 + 9*j**2 + 13*j - 28. Let d be s(10). Let t be (6\/1)\/((-3 - -3) + d). What is the nearest to c in t, -2, 25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4158*h = -4149*h. Let c be 6\/(-21) + 30\/7. Let w = -0.03 + 2.03. What is the closest to h in 0.5, w, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27474651 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 - -2 - (-2 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64\/(-20) + 3 + (-2868)\/(-15) is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 6*d + 5. Let c be t(5). Let v = 0 + -0.2. What is the smallest value in -0.4, v, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6065*o**2 - 4375*o + 4.\nAnswer: -12130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.3. Let k = 7.8 + -8. Let s = k + h. What is the third biggest value in 3, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.8 (c) -1170 (d) 1 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389 + 397 - 23*o**2 - 794.\nAnswer: -23*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/9)\/(4\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 604134 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 + 5*q**2 + 2*q + 1. Let o be d(-2). Solve j = -2 + o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 120 - 12a1?\nAnswer: -1181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 76, -78, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.08, 6312, -47, 1\/2?\nAnswer: 6312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 39 = 3*i, -134334*r + 134335*r - 8 = 2*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79 - -121. Let c = -8 + d. Suppose -c*j - 16 = -35*j. What is the remainder when 95 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113513849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 278 - 270. Solve -n*d - d + 27 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 32, 180, 546, 1238, 2364, 4032, 6350, 9426?\n\"Answer: 18*i**3 + i**2 + 19*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -132 + 131.92. Which is the closest to 2\/3? (a) m (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.9 + 1.9. Let c = -6 - z. Let x = -0.99 + -2.01. What is the biggest value in c, x, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0.2. Let n = 1.71 + -1. Let p = -0.71 + n. Put p, 0.4, g in ascending order.\nAnswer: g, p, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 54*o - 3024.\nAnswer: 3*(o - 24)*(o + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/(q*q**5*q))\/q)\/q)**(7\/11)*(q**(-1\/11))**(-34) assuming q is positive.\nAnswer: q**(-15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 313448557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2674, -1338, 882, 3986, 7974, 12846, 18602?\nAnswer: 25242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*n + 1248 = 154*n + 3968 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 1098075*k**3 - 883957635*k**2 + 5844312*k - 9660 = 0.\nAnswer: 2\/605, 805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 q when four letters picked without replacement from llqqqqqqqqqq?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 1\/3*g**4 + 0 + 14*g - 4*g**3 + 29\/3*g**2 = 0.\nAnswer: -1, 0, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 217.39 - 217.49. Let s be 2 + -13*(-2)\/(-16). Which is the closest to -2? (a) y (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1144676 to the nearest integer?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -910*g - 15464. Let s be o(-17). Let k = 54 + -53.77. Which is the smallest value? (a) k (b) 2\/7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13863.\nAnswer: 3, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.5 - -3.7. Let u = -1\/5 - -7\/10. Suppose 9 = 3*j - 0*j. Which is the nearest to -0.3? (a) j (b) f (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -172*b + 339*b - 62 - 170*b in the form n + f*b and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m**(-8\/3))*m\/m**11 assuming m is positive.\nAnswer: m**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, o: 2}. What is prob of sequence bobb?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 10 + 30. Let f = 3 - d. What is the remainder when 23 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(1\/6))**(-20)*y**2\/((y*y**(-6)*y)\/y))**(-20) assuming y is positive.\nAnswer: y**(980\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 10 = -0*q - 3*q, -2*l - 10 = -4*q. Suppose -2*i + 5*z = 15, -i - z = -q*i + 5. Solve 3 + 12 = -i*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*q - 173. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41851?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8*z + 58. Suppose 45*i - 56*i = 88. Calculate w(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/767 and -37\/15163.\nAnswer: 197119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d - 30*d - 2*n = 75, 81 = d + n. Calculate the greatest common divisor of d and 237.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 + 42.1. Let s = 1.91 - -0.09. Let i = z + s. What is the nearest to i in -0.5, -1, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1694 + -1694.3. Put s, 5, -53\/3 in decreasing order.\nAnswer: 5, s, -53\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + k - 1 - 6 = 0, 4*v = k + 17. Suppose 2*j - 34 = -v*o + o, 0 = 2*o - 2*j - 16. Suppose 3*w - o*w = -553. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 129 + 40 = 0. Let u = 2293 + -2261. Suppose 0*k + 2*k - 3*p = i, -k + u = -4*p. What is the remainder when 257 is divided by k?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.01 (b) 127 (c) 3 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2*j - 2, 5*a - j + 2 - 3 = 0. Suppose -o + 1 + 1 = a. Let l = 82\/105 - 4\/35. Which is smaller: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 37*s**6\/10 - s**5\/60 - s**4\/4 - 9*s**3\/2 + 3*s**2 + 122*s. Find the second derivative of l(z) wrt z.\nAnswer: 2664*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 499*l = 250*l + 251*l - 0 - 10, -6*y - 3*l = -87 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -15*o**2 - 2. Let k(f) = 2*f. Calculate k(u(c)).\nAnswer: -30*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1412 + 4255. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5294472 divided by -1764824\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 0 in increasing order.\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2808043500 rounded to the nearest 1000000?\nAnswer: -2808000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 1034549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 times 2?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 0, -774, -3 in descending order.\nAnswer: 17, 0, -3, -774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h - 11 + 41. Let u be h\/((-27)\/(-6) - 3). Find the third derivative of 6*o**3 - 6*o**2 - 11*o**u + 8*o**2 wrt o.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lem when three letters picked without replacement from {m: 1, i: 1, e: 1, p: 1, l: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -115253, -3, -8\/15.\nAnswer: -115253, -3, -8\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 453181297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 138*i - 401. Let s = -27 - -106. Calculate the lowest common multiple of x(-3) and s.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676348 - 386089 = -8479*i + 1284*i - 163062 for i.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/(-12))\/((-1770)\/120))\/((-1269)\/282).\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 426.135g to micrograms.\nAnswer: 426135000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - r**2 - r + 3. Let u be t(0). Let o(x) = 2*x - 2. Let p be o(u). Factor -11 - p*f**3 - 6*f + 11 - 3*f**2 + 7*f**3.\nAnswer: 3*f*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**3 - 864*o**2 - 23140*o + 24000 = 0. What is o?\nAnswer: -25, 1, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -15*o**2 + 7*o + 8. Let a(q) = -32*q**2 + 16*q + 16. Give -6*a(d) + 13*n(d).\nAnswer: -3*d**2 - 5*d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1034*u - 633 wrt u?\nAnswer: -1034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 845 = 11*r - 6*r. What is r rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 120 and -99.81 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2896*m - 2833*m - 1890 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*z + 37 = -10*z, 4*o - z = -57. Let a(d) = 3*d + 29. Calculate a(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 886095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 196 and 6.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + v**2 - v + 1. Let o(l) = 5*l**3 - l**2 + 4*l - 5. Let m(x) = o(x) + 4*t(x). Suppose -5*y + 23 = 8. Is m(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1827)\/(-1624)*4\/(-6)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1776266 is divided by 109.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r + 15 - 4*r - 9 - 4*r. Calculate i(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1252 + 1256. Let n(a) be the third derivative of 0*a**6 + 0*a**5 + 0 + 1\/42*a**7 - 2*a**2 + 0*a + 0*a**t - 5\/2*a**3. Differentiate n(z) wrt z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*o + 28*o + 5 = 4*q, o + 4 = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 63*c**2 - 1521*c - 40516. Give u(-76).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 132\/4 + 7 + 2 + -5. Suppose -2*q - 12 = -5*q. Suppose 3*c - q*c + l = 0. Calculate the remainder when c is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - -242b?\nAnswer: 2438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**4\/4 + 721*s**3\/4 + 6019*s**2\/2 + 12320*s = 0.\nAnswer: -704, -10, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 182 + 82*c + 205 + 199 - 426 wrt c?\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 0.5, 2\/17, 12, 0.4, -1.3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -5*b + 40. Suppose -5 + 13 = b*f. What is the remainder when f is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -21, -2, 1 in ascending order.\nAnswer: -21, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141577447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8*1\/3*(-261)\/174\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 62\/6 - (-1)\/(-3). Suppose q - 6*q + n = 0. Let t(l) = -l**2 + l. What is t(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 7. Let x be w(-10). Solve 5*g - x = 22 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 159951 in descending order.\nAnswer: 159951, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccfccccccccccc. Give prob of sequence cccc.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 5) + (-3)\/(-1). Let z be (996\/15)\/(d\/10). Let c = -147 + z. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6349 divided by -9.\nAnswer: 6349\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (43\/(-8) - 9\/(-24))\/(-5). Which is the closest to 2? (a) 1\/4 (b) -0.5 (c) -0.3 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 2 + 10 - 50 - -2.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u. Let j(k) = 560*k + 40. Let c(d) = 80*d + 6. Let l(a) = 20*c(a) - 3*j(a). Calculate g(l(y)).\nAnswer: 560*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 12 = 3*g + 3*l, -4*g + 5*l = -12. Suppose -8*q + g = -5*q. What is the greatest common divisor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 24.9. Let p = j - 6. What is the closest to p in -2, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17216548 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.21 - -0.21. Let s = 159 - 137.2. Let i = -11.8 + s. Which is the smallest value? (a) i (b) -0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgd when three letters picked without replacement from dhdhgzfdmhzghdzghhz.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1388 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -63*b + 66. Calculate y(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 100\/(-950) + (-174)\/(-209). Determine v so that 0 + i*v**3 + 18\/11*v**5 + 0*v + 0*v**2 + 24\/11*v**4 = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -87, -270, -617, -1182, -2019, -3182, -4725?\nAnswer: -6702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 5, h: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*g - 4 = 0. Let c be 3\/(-4)*(72 - g). Let a = -41 - c. Solve 16 = -4*i - r - r, a = -4*i + 5*r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -2 - 1 - (7 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -2*s**3\/21 + 96*s**2\/7 - 4608*s\/7 + 370. Find v such that d(v) = 0.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 14*o - 2. What are the prime factors of p(7)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3, 5, 0, 3.\nAnswer: -12, -3, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*z + 73*z - 33 - 51 = 0 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/3, -0.2, -10, 0.35, -2\/3.\nAnswer: -10, -2\/3, -1\/3, -0.2, 0.35, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(22)\/(sqrt(33)\/sqrt(3)) + sqrt(64)\/sqrt(2))**2 - ((sqrt(112)\/sqrt(4))\/sqrt(2))\/((sqrt(42)*-2)\/sqrt(6) + sqrt(7)))*3.\nAnswer: 93*sqrt(2) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(20) - (sqrt(5) - (sqrt(30) - -2*sqrt(30) - sqrt(30))\/sqrt(6))) + 4.\nAnswer: -sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26461920 and 13440?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (45\/(-12))\/(3\/(-8)). Is (q\/(-20))\/(1\/(-166)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -79859, -116622, -153385, -190148, -226911?\n\"Answer: -36763*m - 43096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23557815 divided by -885.\nAnswer: -26619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.39 - -0.79. Which is the closest to 0.1? (a) 4\/7 (b) 3\/7 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -142446*f - 142399. Calculate z(-1).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(80))**2*2 - (-1*sqrt(5) + 0))*-2.\nAnswer: -320 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 456?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -7*(3118\/28)\/((-21)\/84)?\nAnswer: 2, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1087945\/108 - 10074. Calculate the common denominator of ((-1725)\/1200)\/((-39)\/12 + 1) and j.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*y**2 - 100*y**2 + 7*y - 33 - 7*y + 62*y**2.\nAnswer: 2*y**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4*q**2 + 0*q**2 - 5*q**2 + 4*q**2 to f + l*q**2 + n*q and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -36 + 10 + 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7.67, -1\/59, -0.49, -0.4, 5?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzg when three letters picked without replacement from ggkz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1260 + 2315*v**3 - 717 + 104 wrt v?\nAnswer: 6945*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9873818 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4962.\nAnswer: 2, 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + (sqrt(33) - (sqrt(33)*2 + sqrt(33)) - sqrt(33))\/sqrt(11))**2 - (-1 + sqrt(12))) + -3.\nAnswer: -2*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**3 - 41*j**2 + 9*j + 202. What is f(-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24128679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -27. What is the second derivative of -s*x**2 - 1033*x**4 + 2*x**2 + 1071*x**4 - 57*x wrt x?\nAnswer: 456*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 + 311554?\nAnswer: 312022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10070, -40217, -90460, -160799?\n\"Answer: -10048*n**2 - 3*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*p + 2*p - 3*p)*(1 - 1 - 2) - 5 + 5 - 3*p)*(-1 + 3 + 1) in the form g*p + d and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + (sqrt(432) + 0 + sqrt(432) - sqrt(432))**2)*1.\nAnswer: 1740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - (-45 - (-28 + 4))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -6*v**2 - 612*v - 6949. Determine r(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/10)\/((-65)\/25 - -3). Determine s so that -4\/7*s**y + 0 + 2\/7*s**3 + 2\/7*s = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -2. Let g(v) be the second derivative of v**3\/3 + 21*v**2\/2 - 5*v - 1. Calculate the remainder when 62 is divided by g(m).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*s + 598*s = -429*s - 9009 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 15 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -52571425 * 0.03\nAnswer: -1577142.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 7*d - 5. Let q be v(-8). Let m(n) = n**2 - 4*n - 3. Let p be m(6). Suppose q*a - 3 = 0, 0 = o - a - 6 - p. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 454 - 95. Let k = 6823\/19 - i. Is k >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -414, -410, -406?\n\"Answer: 4*w - 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 8*z**3\/3 - 478. Suppose 0*o + d - 7 = -o, -d = 0. Let p(i) = -7*i**2 - 2*i**2 + o*i**2 + 4*i**2. Calculate p(h(a)).\nAnswer: 128*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9297 - 9298. Put t, 1, -5, 0, 53 in decreasing order.\nAnswer: 53, 1, 0, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 = -3*z - f + 4508, -4*z + 4*f = -5588. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2 + 20*b + 3. Let x be j(9). Suppose 18 - x = -d. Let q(o) = o**2 + 15*o + 21. Let u be q(-14). Solve u*a - d*a - 16 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31678027.\nAnswer: 131, 241817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**3 + 13*q**2 - 21*q + 9. Let z(m) = 2*m**3 + 6*m**2 - 11*m + 4. Let i(s) = 3*k(s) - 5*z(s). Is i(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2268 a factor of 178548300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 221015 != -0.17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -1029*r - 1212. Calculate q(-5).\nAnswer: 3933","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 16*p**2 - 15*p - 9. Let k(i) = 15*i**2 - 10*i - 6. Let b(h) = -3*k(h) + 2*m(h). Let x(f) = 33*f**2. Give x(b(q)).\nAnswer: 5577*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 4*s = 12, -5*m - 161*s + 3 = -160*s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 1:11 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 276.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 6 = -0*n. Let h(g) = -10*g**2 - 10*g - 8. Let l be h(n). What is the remainder when 15 is divided by l\/(-33) + 1\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2909 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 579\/12 - 63\/21. Let z = -91\/2 + u. Put z, -5, 14, 4 in descending order.\nAnswer: 14, 4, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 0, 356 in descending order.\nAnswer: 356, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3438 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 732 = 3*c - 213. Suppose t + 2 = -3, 5*g + c = -5*t. Let a = -50 - g. What is the highest common factor of 64 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 5*w + 2. Let t be x(0). Suppose -175*i + 171*i = 0. Sort i, 1, -14, t in decreasing order.\nAnswer: t, 1, i, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 18*a**2 - 5. Let p be t(6). Is 3\/12 + p\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 8*k**2 - 9*k + 1. Let f be i(-7). Let v be 16512\/2*31250\/f. What is v rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2 - 2*h. Suppose -3 = -v + 4. Suppose 3*l - 8 - v = 0. Let c(m) = 7*m**2 - 4*m + 1. What is l*y(j) - 2*c(j)?\nAnswer: j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 686646281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 8*u - 80. Determine s(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 22*b**2 - 23*b**2.\nAnswer: -47*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/10)\/(1\/(-4)). Let o be ((-9)\/n)\/(60\/16). Factor 6\/5*h**4 - 2\/5*h**5 + o*h - 2\/5 - 4\/5*h**2 - 4\/5*h**3.\nAnswer: -2*(h - 1)**4*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - (99 + -84)) + -77 + (-7 - (-5 - -3)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -p - 7. Let w(b) = 5*b + 6. Suppose -5*n = 5*t, -2*t - 7 = 4*n - 9*n. Let j(i) = 2 + n - 2 + i. Determine p*w(q) + 6*j(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 31. Suppose 0*t + 4*n = 4*t - 48, 2*t = n + 28. Let g be v(t). Suppose -3*m = 2*m. Solve g = 5*p - m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97657258?\nAnswer: 2, 47, 167, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 4:19 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 87406753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 4*z - 4. Let r be z\/7 - ((-3138)\/21)\/2. Let b = r - 70. Solve k + 10 = 4*y, -4*y + b*k - 1 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73*n - 43*n + 111*n + 21*n - 3 to y + f*n and give f.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2062 + 2062 + 156*h)*(3 - 2 + 3)*((6 - 1 - 3)*(-2 + 2 + 2) + 2 - 4 + 1).\nAnswer: 1872*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 11:44 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*x - 120, 474*v = 4*x + 476*v - 174. Let k(n) = -5*n - 3. Let j be k(3). Let l = j + x. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 + 2 - -9) + -7. Let g be (-6)\/(-1 - (n + 36\/8)). Which is the closest to -2? (a) -0.2 (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3264)\/578)\/16 - 16485\/255?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 9*m**2 - 11*m - 3. Calculate p(11).\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(2 + 6\/(-4)). Let n be h\/(-13) + 408\/117. Which is smaller: n or 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 229292 divided by 532.\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -27. Suppose -2 + t = -c. Determine o so that -6*o - 3*o + o**3 + 6 + c*o**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 128117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2*(sqrt(104) - (sqrt(104) + sqrt(104) + (sqrt(104)*2 - sqrt(104)))) - sqrt(104)) + sqrt(104))*3*-3)\/(-4*sqrt(200)*1 - -1*sqrt(200)*6))**2.\nAnswer: 4212\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 4. Let y(h) = h - 1. Let t(j) = -5*j + 6. Let z(q) = 2*t(q) + 11*y(q). Let g(k) = -l(k) - 6*z(k). Calculate g(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159904623?\nAnswer: 3, 239, 223019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9062 divided by 6?\nAnswer: -4531\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7756638.928 + -8220.\nAnswer: 7748418.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, m: 1, c: 2}. What is prob of picking 1 h and 1 m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-201 - -173) + 13 + 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6195737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24103157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14134411 + 12?\nAnswer: -14134344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**8*(s*s**(-2))\/s*s assuming s is positive.\nAnswer: s**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/117978 and -145\/636.\nAnswer: 235956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 5:55 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 1\/3, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5 - 3*q**4 - 2*q**3 + 12*q**2 - 8*q.\nAnswer: q*(q - 2)**2*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162411 less than 1162409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 65602440 divided by 5004?\nAnswer: 13110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*t)*(0*t**4 - t**4 - t**4) - 6*t**5 + 3*t**5 + 4*t**5 + 0*t**3 - 8*t**3 - 14*t**5 + 7*t**3.\nAnswer: -9*t**5 - t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204770 is divided by 369.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*s + 189 = 0, 0 = 4*s - 6*s - 10. Let z = b + 49. Are z and 7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18f (base 16) to base 14\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -41, 43, 133, 205, 235, 199?\n\"Answer: -4*d**3 + 27*d**2 + 31*d - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 3*p + 20 - 11 = 0, -3*a - 3*p = -9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**2 - 2 - 45*s**3 + 2*s**4 + 2*s - 3*s**4 - 2*s**4 + s**4 to p + t*s**2 + a*s + d*s**3 + m*s**4 and give d.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 3. Let q be f(2). Let v be (q + 0)\/(3\/15). Let r(d) = -d**3 - 4*d**2 + 4*d - 2. Give r(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/13 + 2)*(-3)\/6.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -v + 326, g = -2*v + 429 + 195. Let i be -4 - ((2 - v) + 0). Suppose w = -4*q + 673, 5*w - 537 - i = -5*q. Is 42 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 0.1 (c) 1 (d) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6 + v - 6 + 0. Let y(u) = u**2 - 4*u**2 + 2*u**2. Determine y(h(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*d = 3089, -2660*c - d - 3095 = -2662*c. What is the remainder when c is divided by 78?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000728750558 to six decimal places.\nAnswer: -0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 - 64. Suppose -5*x - 3*k = -m*x - 5, -4*k - 36 = -4*x. Solve f + x*r = -f + 28, 4*r = 5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**6 - 11*k**5 + 754264*k**3 + k**2 + 6519916*k.\nAnswer: 120*k**3 - 660*k**2 + 4525584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f + f + 81 - 83 - 7*f**3 - 2*f - 2*f**2. Let n be x(-1). Calculate the highest common divisor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 8*m - 26. Suppose -221*y + 219*y = 22. What is a(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -301955, -604451, -906947?\n\"Answer: -302496*x + 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1668479ng to milligrams.\nAnswer: 0.0000001668479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3630.599 centimeters to millimeters.\nAnswer: 36305.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.004?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**3*q*q**(-4)*(q**(2\/5))**(-8\/13)*(q**(-2\/3)*q*q)**(5\/7)*(q**(2\/5))**(-7\/5) assuming q is positive.\nAnswer: q**(998\/6825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 586, 588, 590, 592, 594, 596?\n\"Answer: 2*p + 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from witiwt. What is prob of sequence it?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 5 (b) -1\/5 (c) 1342\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 145 - 126. Solve -2*o = -2*x - 10, 2*x + 4*o - j = 5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11916266 to the power of 1\/2, to the nearest integer?\nAnswer: 3452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -6. Suppose 0 = -y + 4*o - 0 + 2, 4*o = p*y - 32. Solve 0 = -4*d - d - y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 36 and -1036620.\nAnswer: -1036584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -577*q**2 + 577*q**2 - 32*q**3.\nAnswer: -32*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*q**2 + 2*q**3 + 1 + 0*q**3 - 2*q - 18*q**2 + q**3 - 5*q**2 in the form o*q**2 + u*q + c*q**3 + w and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 391.6431mg?\nAnswer: 0.0003916431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 - 101?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**3 + t**2 - 41*t - 1. Let f(q) = -q**3 - q**2 + q + 1. Give -f(u) - v(u).\nAnswer: -2*u**3 + 40*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**2 - 11*y + 12. Let q be b(2). Sort q, 2, -5, -1 in descending order.\nAnswer: q, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r = 40 + 28. Suppose -3*g + r*h + 928 = 0, -3*g - 25*h + 953 = -24*h. List the prime factors of g.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -212, -6, 1, -4, 2 in descending order.\nAnswer: 2, 1, -4, -5, -6, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 10:34 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4\/52*-2*3\/(-6)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 4:46 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -5. Let n be 446\/v - (7 + -6). Suppose -y + n = y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1425\/150*8\/38. Let a(i) be the second derivative of -13*i + 1\/4*i**5 + 5*i**x + 25\/6*i**3 + 0 + 5\/3*i**4. Factor a(r).\nAnswer: 5*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8339, 8365, 8397, 8429, 8455, 8469, 8465, 8437?\nAnswer: 8379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 33 + (-4 - 1) - -34.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 92*n + 89*n - 178*n. Suppose -12 = -5*x + 3, 0 = 3*d + 4*x - 18. Let l be v(d). Solve l*f - 2 = -3*r, -3*r + 8*r = 5*f + 45 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2. Let w(m) = 133048*m**2. Determine w(r(t)).\nAnswer: 532192*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 + 103388*q**2 + 8677536*q.\nAnswer: q*(q + 84)*(q + 103304)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 6\/(-9) - -1 - 106\/(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7646897*q**3 - 4*q**2 - 37*q + 1653.\nAnswer: -45881382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r + 4*r + 0*r - 8. Determine t(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1431 to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 5713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**12\/k**10)**(-8))**11 assuming k is positive.\nAnswer: k**(-176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1 (c) -60\/13 (d) -5346 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34226 and 10343882.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*r + 2*g - 4, -2*r + 3*g = -20. Let p(b) = 4 + b**2 + 4*b - b**2 - b**2. Calculate the remainder when p(r) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 times -65\nAnswer: 2275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4 + 5*t**2 + t - t**3 - 4. Suppose 2*i + 4 = 5*c, 4*c = i + 130 - 125. Let f(m) = 2*m**3 - 11*m**2 - 3*m. What is c*f(v) + 5*h(v)?\nAnswer: -v**3 + 3*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*l - 23*l - 16 = 0. Put 5\/2, l, 2\/5, -1\/4 in decreasing order.\nAnswer: l, 5\/2, 2\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-27))\/((-34)\/34)*(-30)\/5.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*-3)**2 + 6*sqrt(3)*2.\nAnswer: 12*sqrt(3) + 1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -14*x + 32. Let v(y) = -13*y + 28. Give -7*p(s) + 6*v(s).\nAnswer: 20*s - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*y - 132, y = -2*d + 4*y + 289. Let i = 231 - d. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34021006?\nAnswer: 2, 241, 70583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 10:22 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -1\/9, 0.07 in increasing order.\nAnswer: -1\/3, -1\/9, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -363.384070547.\nAnswer: -363.584070547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.195 - 0.105. Let y = i - -7. Which is the third smallest value? (a) y (b) -2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (-11 + 31\/3). Which is the biggest value? (a) 4\/5 (b) -9 (c) k (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 6*q**2 + 4*q - 2. Let h = -150 + 150. Let x = 11 - 6. Let p = h + x. Calculate c(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 1\/2 (c) -327 (d) 0.3 (e) 262\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-42))\/(27\/(-126)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - r**2 - 2*r**2)*(5 + 13 - 7).\nAnswer: -22*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/((-760)\/(-10))*-24?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 4.6?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*22\/(5280\/(-16)). Which is the nearest to f? (a) -1\/6 (b) 1\/23 (c) 22 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 2*t = -1944. Suppose -t = -c - 4*c + 2*b, -3*b = 5*c - 182. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -7. Suppose -63 = 3*s - 4*s. Let v = a + s. What is the greatest common factor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1189.93 - 758.24. Round d to the nearest ten.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*12\/81*153\/391?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/17, 8, 3, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 785 or 1161?\nAnswer: 785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*k + 264*k = 533*k + 5*a + 23, 7*k = -5*a - 41 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4041120 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**1\/u)\/u*u*u\/(u*u*u\/u**(-5\/2)*u))\/(u**5*u\/(u*u**(4\/3))*u))**(3\/38) assuming u is positive.\nAnswer: u**(-61\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1706 - -11964\/7. Suppose 23*a + 3*r + 469 = 21*a, -2*a = 4*r + 470. Let s = a + 237. Are s and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(170)*-1*-3 + sqrt(170))\/(sqrt(90)\/(-1*sqrt(9) - sqrt(9))) + -5).\nAnswer: 15 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*m**3 - 11*m**3 + 74*m**3)*((2*m + 0 + 0)*(-6 - 20 + 1) + (-3*m + 4*m + 0*m)*(0 - 3 + 4) - 2*m + 4*m + 0*m).\nAnswer: -1833*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**5 + 135*k**4 - 159*k**3 - 927*k**2 + 1776*k - 828 = 0. What is k?\nAnswer: -46, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18858120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -16\/9 (c) -102 (d) -1 (e) 2.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -20*i**3 + 85*i**2 - 85*i - 30. Let l(w) = -19*w**3 + 85*w**2 - 86*w - 32. Let o(j) = 4*g(j) - 5*l(j). Factor o(u).\nAnswer: 5*(u - 4)*(u - 2)*(3*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**4\/5 - 398562*s**3\/5 + 1594224*s**2\/5 - 1594216*s\/5 = 0 for s.\nAnswer: 0, 2, 199277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3668 divide 55408808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.2 (b) -71 (c) -1\/74 (d) -3\/2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 538*u = -837*u + 3833 + 3042 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - -5110.\nAnswer: 5111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -25106210\/9 less than -2789580?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24731 rounded to 3 decimal places?\nAnswer: 0.247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20680906?\nAnswer: 2, 31, 333563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-140184)\/144)\/177*(-20)\/(-22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 45 (b) -2 (c) 1\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*c + 19 = 0, -5*c + 5 = -5*p + 25. Let h be -3*p\/12*-4. Sort -2, -3, 1, h.\nAnswer: -3, -2, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 76 = 2*t. Find the common denominator of -97\/48 and (-5841)\/(-2464) - (-3 - t\/(-14)).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150040.7909 rounded to the nearest ten?\nAnswer: -150040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1475839?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11608 + 809. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*a - 11*a = 0. Is -1.87 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yvyfyyjyfyvnv.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92 - -102. Solve -d*l = -4 - 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-1))\/(-16)*8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -0.17817.\nAnswer: 2.17817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2040908 - -0.2045. Round l to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*s - 1463*s + 9540 = 0 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(17) - sqrt(68)*3) + 1)**2 - 6*(-1 + -4*sqrt(17) + sqrt(17) + -5).\nAnswer: -2094 + 68*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - c - 1485*c**2 - 2666*c**2.\nAnswer: -4151*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50252 and 68612?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5\/8, 0.054, -14?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 13260205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 11:59 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1 - (-2 - -1) - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -9*h**4\/8 - h**3 - 10*h**2. Let l be x(6). What is the common denominator of 2 + (663\/l - -1) and 11\/6?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 6 + 6 - 12*z to the form j*z + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22958 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.4 + -3. Let z = 1.2 + -1.2. What is the nearest to z in 2\/9, 3, i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -939482\/3, 2, 0.5, 0.4 in descending order.\nAnswer: 2, 0.5, 0.4, -939482\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*h + m - 24 = 0, 4*h + 4*m = 156905 - 157169 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -162*x**3 - 1368*x**2 - 584*x - 64.\nAnswer: -2*(x + 8)*(9*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628894 is divided by 20963?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 6*f**2 - 2*f. Let n be s(-3). Let t = -27 + n. Solve -g + t = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*j**3 + 61*j - 60*j - 19 - 18*j**3 - 9*j**3 wrt j?\nAnswer: -336*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 31 = 6*n - n, -2*r = -5*n + 32. Suppose 0 = n*l + 10787 - 33107. What is l rounded to the nearest 100?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ereeeeeneeneernern. What is prob of picking 1 e and 3 r?\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 2535 = 2465 for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 113*q**2 + 53*q**2 + 111*q**2.\nAnswer: 277*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 2170*l**2 + 167835*l.\nAnswer: -5*l*(l - 501)*(l + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 17 + 209)*(3*d**2 - 3*d**2 - 2*d**3).\nAnswer: -456*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -138 * -0.1\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4033 a factor of 69407930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 0*c - 2*c**3 + 10 - 3\/2*c**2. Find the second derivative of x(m) wrt m.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 15*w**2\/2 + 730. Let a(f) = -34*f. Give h(a(c)).\nAnswer: -510*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/15 in 5, -0.2, -17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -428*s**5 - 509*s**5 - 154*s**5 - 29*s + 53*s**5 + 171*s**5 + 17*s**2 wrt s?\nAnswer: -52020*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Let t = r + -0.12. Let h = t + 1.32. What is h rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4278266.57 rounded to the nearest one hundred thousand?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/95 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 + 28 = 2*f + 3*s + 94 - 25, -3*f = 7*s + 33 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 1247*l. Let q(v) = -220*v**2 + 2*v. Give q(u(p)).\nAnswer: -342101980*p**2 + 2494*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**2\/2 + 33*k. Let w(n) = n - 1. Give 2*h(c) - w(c).\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 480 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -68 - 14*l + 0*l**4 - 2\/3*l**3 + 0*l**5 + 0*l**2 - 28\/3*l**6. Find the third derivative of w(m) wrt m.\nAnswer: -3360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f - 6*f - f)*(f + 0*f + 0*f + (-1 + 2 + 2)*(1 - 1 + f) + 1 + f - 1 + 3*f + 2*f - 4*f) to w*f**2 + a + b*f and give w.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -19.11. Let h = g - 0.29. Let z = 0.1 + 0. Which is the second biggest value? (a) z (b) h (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.135 - 31.635. Let y = d - -32. Which is the nearest to 2? (a) -1 (b) y (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 74*c + 156. Calculate z(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - c - 7 + 29, -3*v - 2*c = -16. Suppose 0 = 2*y + v. What is the remainder when 20*(y - -3) - -2 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 187, 176, 163, 148, 131?\n\"Answer: -a**2 - 8*a + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2722 by -8.\nAnswer: -1361\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - sqrt(36)\/(-1*sqrt(2)))\/(sqrt(6) - -5*sqrt(24)))**2.\nAnswer: 12\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -373 + 402. Suppose z*r - 421 = 14195. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 23529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468 - 807 = -137*j + 1739 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*y + 3. Let r = 191098 - 191078. Solve 0 = y*h - h + r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-33) + 22806\/77. Suppose -118 + n = 2*d. Let j = d + -30. What are the prime factors of j?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p - 4 + p**2 + 4 - 3 - 4. Let g be c(8). Calculate the greatest common factor of g and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2400 - 2493.86. Let z = u - -101. What is z rounded to one decimal place?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*u + 356*u + 29*u + 1 as m + s*u and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**4*y\/(y\/((y\/y**(-2\/13))\/y)))\/((y*y**(-3\/2)*y)\/y**(-6)))**45 assuming y is positive.\nAnswer: y**(-2745\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 907781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yh when two letters picked without replacement from xyxxchcchhcchayxhaxj?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14683 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 2*k + 36. What is the second derivative of -17*z + 29*z**4 - 19*z - k*z**4 wrt z?\nAnswer: 300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-164)\/1312 + 0 + (-81)\/(-8). Let i be 2*(o - (12 + -6)). Calculate the highest common factor of 72 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + -21. Let r = -18 - j. Calculate the greatest common divisor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2 + 3*p + 2. Let a(y) = 7*y**2 - 8*y - 5. Let j(f) = 2*a(f) + 5*v(f). Let z(m) = 3*m**2 + 2*m. Calculate 2*j(c) + z(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 98946700 rounded to the nearest one hundred thousand?\nAnswer: 98900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 442 = 436 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15201?\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 10418.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92*c**3 + 432*c + 28*c**4 + 36*c**2 - 226 - 4*c**5 - 64*c**4 + 658.\nAnswer: -4*(c - 2)*(c + 2)*(c + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9698053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 4. Solve w + 3 = 2*q + 3*p, 0 = -4*q - 4*p + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 412 = 228. Calculate the greatest common factor of 230 and m.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-3))\/(560\/(-18)). Let l = x + 27\/35. Let n = -4.97 + -0.03. Which is the closest to -0.1? (a) l (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 41104778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22347, 22320, 22285, 22236, 22167?\n\"Answer: -j**3 + 2*j**2 - 26*j + 22372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*72\/(-240))\/(0 - (-54)\/16).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.072 + -0.472. Let d = -107 + 104. Put 43, d, 2, w in descending order.\nAnswer: 43, 2, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 2*p - 6*p. Calculate the least common multiple of p and ((-12)\/936*6 - 230\/52)*-2.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -764*w**2 + 6651*w**2 - 827*w**2 in the form k*w + l + q*w**2 and give q.\nAnswer: 5060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1097\/2971 or -1?\nAnswer: -1097\/2971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2\/6 - 2445*r + 14680\/3.\nAnswer: -5*(r - 2)*(r + 2936)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 819\/(-1911) + 19883\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 24, 98, 244, 486, 848, 1354, 2028?\nAnswer: 2894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 248, 0.3, -0.01, 5\/4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (16 - 29) - -4) + -38.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 143*a + 20 = -140*a, -s - 14 = -4*a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.224135ml to litres.\nAnswer: 0.003224135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2282659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9540292*v*w**4 - 2*v*w**3 - 273*v*w + 2*v - 2*w**2 + 67774*w wrt w?\nAnswer: 114483504*v*w**2 - 12*v*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13702886.\nAnswer: 2, 6851443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7*(1164\/(-7))\/12. Suppose 102*n = -4*a + f*n - 2, 4*n + 6 = -a. Suppose 0 + 2\/5*l**a - 14\/5*l = 0. What is l?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112122011 (base 3) in base 15?\nAnswer: 8ed7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/2 - (12 - 0). Let t(h) = -h**3 - 14*h**2 + 16*h + 20. Give t(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 5*u - 20, 2*u + 1 - 9 = 5*i. Let y = i - -4. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*((-2)\/(-1))\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -646234*h. Let g(o) = -4*o. Calculate r(g(t)).\nAnswer: 2584936*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 999 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 13*q**2 - 31*q - 12. Let r be f(-15). Let a be 6\/(-15) - (r + 63\/5). Which is bigger: -18 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 5*h. Suppose h = -7*v + 343 + 105. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(192\/256)\/((-9)\/(-12))*10\/1?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 2. Let n = 11 + -6. Suppose -6*y = -y + 15. Which is the second biggest value? (a) n (b) y (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 166, 80, 0 in increasing order.\nAnswer: -5, 0, 80, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 87962 less than or equal to 87962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*3*(15\/((-165)\/(-638)))\/6.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, g: 14}. What is prob of picking 2 j?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38640 and 2688.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/1*-12*4\/(-1008). Is 1291 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/36 - 79\/(-4). Is 4\/(-10) + 528\/p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxktz. Give prob of sequence kxt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 6:14 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 146016359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-3))\/(2\/81)*22\/363*22?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -51*y**3 - 2*y**2 - 2*y - 1. Let n be f(-1). Suppose n*d - 53*d + 180 = 0. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6241*a**3 - 344*a**2 + 4644 wrt a.\nAnswer: 37446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-7)*s*(s*s*s**(-2\/5))\/s*(s**2*s)**(23\/5) assuming s is positive.\nAnswer: s**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 3 + 10 + 3*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 10:46 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12653851.\nAnswer: 7, 1807693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/16 - 1\/(-4). Let g = 12\/5 + -3. What is the closest to 0.1 in 1, d, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 3*q - 200, -2*v - 184 = -2*q - 3*q. Let i = v - -99. Determine y so that 4*y**i - 12*y**3 + 2912 + 12*y**4 - 2912 - 4*y**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.039 - 0.329. Let t = 6.899 + -1.899. What is the second biggest value in t, 1\/4, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/3 - -2)*(39 - 48). Is w\/(-10) - ((-824910)\/50 + -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9774996 micrometers to meters.\nAnswer: 0.0000009774996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2032 is divided by 174?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 2\/9 (b) -15 (c) -2 (d) -99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*k + 152*k**6 - 74*k**6 - 76*k**6 - k**2 wrt k?\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1405, -1463, -1559, -1693, -1865, -2075, -2323?\n\"Answer: -19*b**2 - b - 1385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 2*y - 3*g + 13, -4*g + 0*g = -35*y - 58*y + 1209 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.856 and -0.1.\nAnswer: 2.756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1125207 is divided by 224881?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1 + 2 = -d, 0 = d - 5*p + 17. Suppose t - 2*v - d = 0, 0*t - 3*v = -2*t + 5. Solve 4 = -3*h + t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14, 21, 80, 163, 270, 401?\n\"Answer: 12*g**2 - g - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h - 3 = u, -u + 5*h - 5 = 0. Let p = 1079 + -1074. Suppose u*s - p*a = 165, -s - 4*s = 4*a - 138. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-6 + 3))\/(2\/809). Let t = -573 + o. Calculate the remainder when t is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by 35\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58.247 + 59.5. Let b = 0.253 - h. What is the closest to b in 0.5, 3, -18?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 3 = 3*n. Sort -4, 6, 1, n.\nAnswer: n, -4, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1910, 7430, 16630, 29510, 46070?\nAnswer: 66310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*r + 9. Suppose -1191 = -3*u - r*a, u + 0*u - 4*a - 387 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by (2*9\/(36\/16))\/((-36)\/(-54))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 840984.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 3279.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, t: 17}. What is prob of picking 4 t?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/7 + 1444*r\/7 + 2896\/7.\nAnswer: -2*(r - 724)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17231 is divided by 812.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588674?\nAnswer: 2, 294337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 4*g - 3*t + 17, 5*t - 4 = 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -35. Let c = w + 17. What is the closest to -0.1 in c, 2\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 5631805.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 - 0. Let o = 22.94091 - -0.05909. What is the smallest value in 0.1, i, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**3 + 3*c + 104 - 105 - 5*c**2 + 2*c**2. Determine r(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 10:43 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1627, 3028, 4429, 5830, 7231, 8632?\n\"Answer: 1401*a + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h + 22*h - 3*l + 23 = 0, -4*l - 64 = -21*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + y. Let b(m) = -7*m**2 + m. What is -2*b(u) - 4*n(u)?\nAnswer: 10*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 1 - -2) + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 22*n**2. Let z(x) = x**2. Determine -v(w) + 3*z(w).\nAnswer: -19*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g**3 + 2*g**3 - 13*g**3.\nAnswer: -24*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2180*x = -2184*x - 4, 3*t - 5*x - 5 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 7:36 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 27989706?\nAnswer: 139948530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1339, -5, -2\/6547?\nAnswer: -1339","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/15 - (-1060)\/(-75). Let j(c) = -c**2 - 17*c - 15. Let v be j(d). Suppose u = 7 + v. Calculate the remainder when u is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 9.5 (b) 7\/3 (c) 0 (d) -0.169 (e) 1 (f) -2\/11 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2 = -3*w + c, 0 = -c - 2. Suppose -5*r = 4*u - 91980, w*u + u = -5. Round r to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*n**2 + 22*n + 5*n**2 + 8*n**3 - 6 - 22*n + 24*n + 150*n**4 wrt n?\nAnswer: 3600*n + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -9. Which is the smallest value? (a) 2\/3 (b) i (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3287*l + 134013*l - 1 + 1.\nAnswer: 137300*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = -31*j + 144. Suppose 4*v + j = -4*b + 2*b, 5*b - 22 = 4*v. Solve -b*m + 19 = -3*m - 4*x, 2*m - 2*x - 12 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(120\/18)*1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 650 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: Calculate the smallest common multiple of 5175932 and 3881949.\nAnswer: 15527796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 10:04 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1258, -1260, -1262?\n\"Answer: -2*q - 1256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = -2*v + 1060. Let l = v - -108. Differentiate -i + l - 34 + i + i - 2*i**2 wrt i.\nAnswer: -4*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 326574175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 + 10d8?\nAnswer: 10c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v\/(v\/(((v**1\/v)\/v)\/v)))))\/v*v)**(-40)*(v*v\/v**(1\/2))**(1\/5))**24 assuming v is positive.\nAnswer: v**(9636\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((15 - 15 + 10*d)*(2 - 3 + 3) + (2*d - 2*d - 2*d)*(-4 + 3 + 3))*(2*d**2 - 1 + 1) as y + w*d**3 + s*d**2 + v*d and give w.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/27, -2\/409, 3, -1 in decreasing order.\nAnswer: 3, -2\/409, -5\/27, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -830 (base 10) to base 12\nAnswer: -592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 100044, 100062, 100078, 100092?\n\"Answer: -j**2 + 21*j + 100024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*n + 376. Suppose 430 = 5*y - 5*f, -56*y + 5*f - 202 = -59*y. Let w = n - y. Calculate the remainder when w is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 70*v**3 - 3*v - 244 with respect to v.\nAnswer: 210*v**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 13 = 5*c, -2*c - 48 = 4*d - 3*d. Let g = 45 + d. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*f + 132*f - 23 = -5*c, 23 = c - 5*f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1))\/(c**(2\/7)*c))\/(((c\/(c\/(((c*c*c*c**(2\/7)*c)\/c)\/c*c)*c)*c)\/c)\/(c*(c\/c**(-4\/5))\/c)) assuming c is positive.\nAnswer: c**(8\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*o, -6*x + 7*x = -21*o + 15414. Does 37 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 6*c**2 + c - 4. Let l be r(6). Let n be (l - (-60)\/(-8))*(-1 - -3). Let i = -6 - n. Solve 0*j - 5 = -i*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 5*o**2 + 92*o - 747. What is c(8)?\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18867243, -18867231, -18867221, -18867213, -18867207, -18867203, -18867201?\nAnswer: -18867201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 5*u - 5. Let g be v(-4). Let x be ((-384)\/(-189))\/(-4) - 8\/(-28). Sort x, 1\/4, g in increasing order.\nAnswer: g, x, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q = 1288 - 1486. Let n(s) = s**3 + 3. Calculate the remainder when q is divided by n(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 462710067 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3361?\nAnswer: 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 3:12 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*c - 11*c - 13 + 4)*(-3 - 6 - 2) + (0*c + 2*c - c)*(-2 + 2 - 2) - 2*c + c - c.\nAnswer: 7*c + 99","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -121.9 - -122. Let d = 5.1 - 8.1. What is the nearest to 1 in d, -0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - (-46)\/(-14))*(-7 + 8). What is the nearest to -1 in -1, 4, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 135 - 23. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 537 (base 10) to base 2\nAnswer: 1000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2828760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s*((s*s**7)\/s)\/s)**(-10\/7)\/(s**(-36))**(-42) assuming s is positive.\nAnswer: s**(-10674\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 98*v + 22*v + 297*v + 0*v**3 - 9*v**3 + (v**3 + v - v)*(-1 + 0 - 3) as a + u*v + q*v**3 + k*v**2 and give u.\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*4*((sqrt(637) - (4 + sqrt(637)*-1)) + 1 + (sqrt(637) + (-1 + sqrt(637))*-2)*5)**2*1.\nAnswer: -5880*sqrt(13) + 115640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010122 (base 3) in base 2?\nAnswer: 1100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1750001*(-5 + -4) + -9. Round w to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 11:30 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 14*q**2 + 37*q + 89. Does 35 divide k(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 18*v + 7. Let h be t(8). Let m = h - 27. Suppose -268 - m = -8*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 788*z**3 - 24*z**2 - 2*z - 834. Let g(b) = -791*b**3 + 37*b**2 + 3*b + 835. Let q(t) = 3*c(t) + 2*g(t). Find the third derivative of q(j) wrt j.\nAnswer: 4692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1403703 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -24*l - 514. What is t(-21)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5431*y + 581109. Calculate k(107).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 476716 (base 8) to base 16\nAnswer: 27dce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2047123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -10*r - 11. Let s be l(-9). Suppose 3*m + 289 = s. What are the prime factors of (-4)\/(16\/12) - m?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7425?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 10) to base 9\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 667, 674, 667, 640, 587, 502?\n\"Answer: -a**3 - a**2 + 17*a + 652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 5*y - 24522, -9*c = -10*c + 5*y + 6093. What is the remainder when c is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.221? (a) -122 (b) 0.1 (c) -4\/3 (d) -7 (e) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -93\/5*x - 88 - 1\/5*x**2.\nAnswer: -(x + 5)*(x + 88)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/1)\/2)\/((-8)\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10936 + -10934. Calculate the greatest common divisor of 2239 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - -64. Let j = 26 + d. Is j a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 227 + -224. Solve 12 = -4*y + 2*j + 2*j, 0 = 3*y + p*j - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 + 2 + 1690 + -1718\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (-8 + (13 - -8 - -5)) - (-47 - 0)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 17*u**2. Let o(g) = 4*g + 530896. Calculate o(w(c)).\nAnswer: 68*c**2 + 530896","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-6)*(-11835)\/(-6575)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 4) + -2 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 - 5337 - 5332 - 5329 + 0*k**2 - 5488 + 21486.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8996*b + 9020*b + 144 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 9:29 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -527935983 by -5442639.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b**2 - 11*b**2 - 17*b**2 + 44*b**2 + 2*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 31 - 19 - -23.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -19 (b) 3\/55 (c) 3\/11 (d) -11 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 391401.987 to the nearest one hundred.\nAnswer: 391400","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 67*n + 177 = 60 - 151 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*p - 19*p + 246 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -214, 12, 0.066.\nAnswer: -214, 0.066, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(204) - -2*sqrt(204))*5 - 4*sqrt(204)*-2))\/(-1*-2*sqrt(972)*-2).\nAnswer: -23*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 - 2*r**2 + 3*r + 3. Let p be l(-2). Suppose -2*q - 5*c = -16 + 14, -2*c = -2*q + 16. Solve q = -2*b + p*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 + 42*s**2 + 45*s + 106. Calculate f(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*n**4 + 3*n - 2*n**3 + 0*n**3 - n)*(-1 + 1 - 2*n).\nAnswer: -40*n**5 + 4*n**4 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 5*f - 17 - 17, -13 = -4*y + 5*f. Which is the smallest value? (a) 0.2 (b) -1.9 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -r + 6 + 4, -r = -5*l - 3. Suppose 4*a + r = 5*a. Is a >= 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/((-195)\/64) - 2. Which is smaller: -6 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -1111001011?\nAnswer: -1111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 151843432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 3*i - 7. Let r = i - -18. Suppose -3*s = -r - 97. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*g + 3*g**5 + 24*g + 2*g - 2*g + g**5 + (0*g**2 + g**2 + g**2)*(-g**3 + 0 + 0) - 3*g**4 + 3*g**4 - g**5 - 2*g**5 + g**5 + 2*g**5.\nAnswer: 2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 61? (a) 0 (b) 1 (c) -5 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*s - 4*n, -3*s - 7*n + 8*n = -9. Let a be (2\/(-3))\/(2\/(-6)). Suppose -a*h - s*h = -156. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4190830 divided by -110285\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 - 8*f**2 - 7*f**2 + 0*f**3 + f + 1 + 14*f**2 to the form n*f**3 + s + v*f + q*f**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(13) - (-1*sqrt(13) + sqrt(13))) + -4 - sqrt(156)\/(-3*sqrt(36)\/sqrt(3)))*4)**2.\nAnswer: 256*sqrt(13)\/3 + 3136\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -6. Suppose 0*r + 30 = 5*r. Let v be r - 1 - (-9 + 12). Solve -d = -2*s - 3, 3*s - v*d = -d - o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1089 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 4.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4970705550 rounded to the nearest 1000000?\nAnswer: -4971000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((62496\/(-64))\/31)\/(217\/(-62)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1640, -3307, -4934, -6521?\n\"Answer: 20*b**2 - 1727*b + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2280?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1140511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-215*23\/(-230))\/((6\/(-4))\/(12\/4)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**3 + 17*i**2 - 17 + 6*i**3 - i - i**3. Let l be v(-17). Which is the closest to l? (a) -9\/2 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c**3 - 9*c**2 - 2*c + 4. Give v(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14bb14 (base 14) to base 2.\nAnswer: -10110000101110000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**3 + 153*g**2 - 395*g + 7. Determine j(-79).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7920865 from -4.08093.\nAnswer: 7920860.91907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 6*v - 3. Let w be s(7). Suppose -13 = -w*m + 59. Calculate the remainder when m is divided by 0\/1 + 28\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 4:33 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.39667395 to three decimal places.\nAnswer: 70.397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151, -140, -129, -118?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 35. Suppose 0 = -5*p + 5*i - 10, p + g*i - 6*i = 10. Solve p*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1903 - 1920. Which is bigger: -310\/17 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.61 + 0.13. Round c to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70136 and 22264?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4*m**3 - 715*m - 2*m**3 + 1444*m - 711*m in the form r*m**3 + x*m + k + s*m**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1705, -6805, -15261, -27037, -42097, -60405?\n\"Answer: 6*c**3 - 1714*c**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = 57*r + 59*r - 395. Let p = 144\/35 + 6\/35. What is the second smallest value in -1\/3, r, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 3:38 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/10)\/((-6)\/(-4)*(-10)\/(-25)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 573 or 250662\/437?\nAnswer: 573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 239*g**2 + 3. Let i be o(-2). Let a be (32\/(-4))\/(-1) - 2. Suppose a*d - d + 171 = j, 5*j + d = i. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 + -25 - (-11 + (6 - (0 + -2))).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 12*d**2 - 17*d + 6. Let n(g) = -g**3 - 6*g**2 + 4*g + 11. Let v be n(-6). Calculate the remainder when y(v) is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4428 by -1.\nAnswer: 4428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 7*w - 6. Let o be 3 - (-3 + 10)\/1. Let h be r(o). Suppose -2*c = -3*c + h. Are 7 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157, -157, -155, -151, -145, -137?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6852 = 8*t - 2*t. Let f = 107657\/20120 - 3\/4024. Find the common denominator of 13\/65 - t\/60 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(4\/76 - 0) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 4*f + 32, -2*f - 16 = 243957*t - 243962*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 922560.5t to milligrams.\nAnswer: 922560500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*n + 119 = -117*n + 198*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 1. Let z(d) = -9*d**2 + 8. Let w(t) = -24*x(t) - 3*z(t). Let u(k) = 19*k. Calculate u(w(i)).\nAnswer: 57*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017449 rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2 + 3 + b + 0.\nAnswer: b + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + x + 3*x)*(2*x + 0*x + 0*x) + x - x**2 - x + (-4*x + x - x)*(1088*x + 103*x + 2607*x) - 2*x**2 - x**2 + 0*x**2.\nAnswer: -15198*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1.0000104. What is n rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*h - 2427, -2*l - 43*h = -39*h - 4806. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 178636259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 9*c - 84. Let h be b(-6). Suppose -h*f = -2*f - 24. Solve -p = p - f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/15096 and -77\/680.\nAnswer: 75480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 = 0, -2*a - a = -l - 9. Suppose 4*d - 44 = -2*n, 4*n - 3*d - d - 52 = l. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.3 - -129.\nAnswer: 126.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**4\/4 + 10*m**3\/3 + m**2 + 7*m + 2. Let u be k(-7). What is u rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from {j: 1, b: 1, q: 1, v: 1, n: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 6:47 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11010100100000000 (base 2) to base 13\nAnswer: 3a6a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2836 to three decimal places.\nAnswer: -0.284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 5*o**2 - o + 3. Let d(x) = x**2 + 28*x + 64. Let h be d(-20). Let a = h - -101. What is b(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -491 + 491.3. Let u(d) = -d**2 - 4*d + 2. Let z be u(-4). Let l = 5 - 10. Which is the closest to z? (a) f (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b66 (base 12) to base 8\nAnswer: -3176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1600)*2 - sqrt(1600))*-2)\/(5*sqrt(180)*-4) + -2)**2.\nAnswer: -8*sqrt(5)\/15 + 184\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(9\/2)\/9. Let y(m) = 47*m - 49*m + 2 - q. Let u(x) = -24*x**2. What is y(u(l))?\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -125.8 * -0.2.\nAnswer: 25.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*d - 75 = 66*d - 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 7:48 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 30\/11, -1\/4, -6\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjkqjqljjlkjklqjjkjl. Give prob of picking 1 q, 1 l, and 1 k.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 10*x**2 - 2*x - 8. Let i be c(-10). Suppose -51 = -3*a - i. Solve 2*n - a = -5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -1416*i - 4942. Let l be v(-4). What is the greatest common factor of l and 418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y - 17*y - 8 + 15*y to the form n*y + w and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - u**2. Let i(j) = 3*j**3 - 5*j**2 + 12*j + 21. Let q(a) = i(a) + 4*z(a). Let o be q(-10). Let n be (-4)\/6*(-6)\/(-10). Sort o, n, -2.\nAnswer: -2, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -13. Suppose -3*u - 4*z - 16 = 0, -2*z - 14 = -u - g. What is the second biggest value in -4\/5, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -423, 1, 5, -5, -11 in descending order.\nAnswer: 5, 4, 1, -5, -11, -423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**5 + 3537*v**6 - 3*v**5 - 85*v - 8936002*v**2 + 8936007*v**2 wrt v.\nAnswer: 424440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2403 - -2517. What is the remainder when f is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -41 + 41 + 6*k. Let r(i) = 6*i. Determine 7*r(m) - 6*v(m).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*a - 89*a + 1 - 71*a.\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101111 + 11?\nAnswer: -10101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 13*z**2 - 2*z - 16. Let a be l(-11). Suppose 2*b = 3919 - a. Round b to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 16. Let b(v) = 4 + 3 - 1 - 1. Give 7*b(m) + 2*h(m).\nAnswer: 2*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 9*u - 1. Let f(a) = -10*a + 1. Let w(x) = 2*f(x) + 3*l(x). What is w(-6)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*d - 252*d**3 - 269*d**3 + 36*d - 83*d.\nAnswer: -521*d**3 - 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -9, 2509 in decreasing order.\nAnswer: 2509, 4, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3184, -2, -5, -491.\nAnswer: -491, -5, -2, 0, 3184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + i**2 - i + 1. Let u be 60\/(-540)*(3 - -6). Let l(y) = 9*y + 61*y - 75*y**2 - 22 - 3 - 30*y**3. Let q(a) = u*l(a) - 15*v(a). Factor q(h).\nAnswer: 5*(h + 2)*(3*h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from {f: 1, v: 1, e: 1, l: 2, m: 5}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 8*g. Suppose 0 = -g*h + 2*h + 2, y + 26 = 4*h. Let r = 31 + y. Solve 3*z + 3*k = 7*z - r, 3*k = 3*z + 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -197 - -200. Let i(u) be the second derivative of -5*u + 0*u**z + 0*u**2 - 1\/40*u**5 - 1\/24*u**4 + 0. Find t, given that i(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13\/146 - 119\/14454. Let x = z - 5461\/198. Find the common denominator of 2763\/(-108)*(-1)\/3 - (-20)\/90 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 + -9.02. Is w at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -199423?\nAnswer: 199424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 180 - 68?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -488\nAnswer: 1\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 6:43 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 6)*(-1 - 1 + 3)*(-h**4 + h**5 - 4*h**4 + 4*h**4).\nAnswer: 3*h**5 - 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/12 + 3\/18. Suppose q*y + 24 = y. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 4. Let q be p(8). Find the third derivative of -8*l**4 + 6*l**2 + 3*l**4 + 4 - q wrt l.\nAnswer: -120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 58 = 6*c. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 56, 107, 172, 257, 368?\n\"Answer: b**3 + b**2 + 41*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -109\/329 + 29\/47. Suppose -8 - 32 = -4*h. What is the closest to 2 in h, 1\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 9*y**2 - 5*y - 5. Calculate w(5).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 1:28 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*(-2)\/(-4)*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 16*l**2 + 370*l - 13718. Determine o(-43).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/3))\/s*s**0\/s*s\/(s*s**(-1\/7)*s)*s**(-4))**(3\/10) assuming s is positive.\nAnswer: s**(-137\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 7.8. Let m = g - 0.7. Which is the second smallest value? (a) -0.4 (b) -3\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -5\/2*n**2 - 1\/3*n**3 - 2*n - 4. Is u(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.22 - 588.78. Let o = d - -998. Let x = o - 405.9999581. Round x to 6 decimal places.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 48285*w - 133. Let q(i) = -6*i. What is q(n(x))?\nAnswer: -289710*x + 798","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 324*f = 328*f - 21, 0 = -x + 2*f - 7 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14\/(-3))\/(6\/9) + 5. Is 20 a factor of (-2)\/(n\/(-1))*5*-116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1338172 is divided by 30413?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -189*u - u**2 + 3 - 455*u - 30*u + 1375*u + 83*u as r + x*u + c*u**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4523, -9042, -13561, -18080, -22599?\n\"Answer: -4519*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 69.80909 millimeters?\nAnswer: 6.980909","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j + 639*j**2 - 6*j - 2271*j**2.\nAnswer: -1632*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 76 = -3*d - 0*n, -2*d + 2*n = -54. Let s(v) = -2*v + 10. Calculate the lowest common multiple of d and s(-2).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00022 - 3.788211?\nAnswer: -3.787991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ed49 + -1?\nAnswer: -ed4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 215423833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2805778?\nAnswer: 2, 71, 19759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 42421632 divided by 24\nAnswer: 1767568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 121302.13 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1410011 and 0.03.\nAnswer: -1410010.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18860 divided by -5\nAnswer: -3772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4110706.\nAnswer: 2, 1279, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 6*y. Solve i + y*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**4\/4 + 4*c**3\/3 + 5*c**2\/2 - 8*c - 3312. Calculate l(6).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12 + -186*(-1)\/16. Which is the nearest to 14? (a) m (b) 1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -2. Let y(b) = -2*b + 4*b + 8 + b + 2*b. Let m be 66\/14 - 2\/(-7). Let t(c) = -4*c - 7. What is m*y(f) + q*t(f)?\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/135 and -17\/24030.\nAnswer: 24030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/4*(-10)\/(1080\/441) and 51\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17866360 to the nearest one hundred thousand.\nAnswer: 17900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 14. Let k be f(-3). Calculate the highest common divisor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 24577, 98154, 220791, 392482, 613221, 883002?\n\"Answer: -j**3 + 24536*j**2 - 24*j + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 9:25 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*a = -29, 5*a = -21 + 1. Let h(k) = -8*k - 10 + t + 8 + 9*k. Let s be h(-7). Calculate the highest common factor of 66 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + v - 5 = 0, -5 = -g + 131*v - 129*v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/632601 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 10:12 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 191*l + 41247 - 44876 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + sqrt(75))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**3 + 0*h**2 + 0*h**2 + (-16*h + 6*h**2 + 16*h)*(h + 0*h + 0*h) - 2*h**3 + h - h - 306*h**3 - 238*h**3 + 73*h**3.\nAnswer: -465*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 76\/(-18) + (-1 - -5). Which is the second biggest value? (a) 2 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, c: 3, u: 2, d: 2, n: 5}. Give prob of sequence ducd.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47.9 + 52.9. What is the third smallest value in 11\/4, 1, n, -3?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/sqrt(96) + 2)**2.\nAnswer: sqrt(17) + 81\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 425 + -421. Suppose -j*c + 3*s = -12, -c + 3 = -0*c - 3*s. Solve 7*o + c*o = 40 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3668, 883, -3758, -10255, -18608, -28817, -40882?\n\"Answer: -928*x**2 - x + 4597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 6*r**2 - 10*r + 1. Is c(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 4:21 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -26*i + 2. Calculate w(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 327 - 182. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 16 = 5*c, 0 = 2*j + 2*c + 62. What is the units digit of (1\/3)\/((-1)\/j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*h - 128 = -4*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 23886054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a millimeter in micrometers?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(72)*-5 + sqrt(72) + sqrt(72) + (sqrt(72) + (sqrt(72)*-3*2 - sqrt(72)) - sqrt(72)))\/(-2*2*(-1*sqrt(216) - sqrt(216))))**2.\nAnswer: 75\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z + 5. Let s(p) = 11*p - 9. Let x(v) be the first derivative of 11*v**2\/2 - 8*v + 2. Let q(g) = 6*s(g) - 5*x(g). Determine 17*l(i) + 6*q(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.679817t?\nAnswer: 679817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 27. Calculate s(-15).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.2 (c) 56.4748\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 76.58754 litres?\nAnswer: 76587.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(176)*3 + (sqrt(1100) - (sqrt(1100) + 2)) + sqrt(1100))**2*-5.\nAnswer: -2640*sqrt(11) + 159840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.62 - 0.52. Let t = 8.1 - p. What is the closest to 0 in 0.1, t, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 3*s + 15 = 0, 10*s - 20 = 5*s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2954, -6215, -9412, -12545, -15614, -18619, -21560?\n\"Answer: 32*l**2 - 3357*l + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1807 to the nearest ten.\nAnswer: -1810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - 2*y**4 + 3*y)*(7*y - y - 4*y) + 5*y**5 - 2*y**5 - y**5 - 3*y**5 - 6*y + y**4 + 6*y.\nAnswer: -5*y**5 + y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -23. Suppose n = y + 8. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -295 - -299. Let a be (-6)\/f*-6*(-16)\/(-36). Solve a*n + n - 25 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28379 + -16478. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 9 = -4. Let r = -24 + 54. Suppose -3*n + 27 = -r. Calculate the remainder when n is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -2\/13, -2\/5, -4, 11.8, 2 in descending order.\nAnswer: 11.8, 2, -2\/13, -2\/5, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/(-25) + ((-26)\/(-5))\/2. Solve 0 = -h + 3*t + 17, -2*h - 5 = z*t + 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1047768.\nAnswer: 2, 3, 149, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -13*x**3 + 9*x**2 + 27. Let c(w) = 3*w**3 - 2*w**2 - 7. Suppose -271*h + 4877 = -1. Give h*c(a) + 4*j(a).\nAnswer: 2*a**3 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 259*4 - (13 - 19). Suppose -h - 1039 = -i. Solve 40*a - 39*a = -h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**3 - 2*q. Suppose 7*b - 10*b + 8 = -m, -4*m - 5*b = -2. Let d(g) = 4*g - 3*g**3 - g + g**3. Calculate m*d(r) - 3*j(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*h + 4122, -6*m + 7*m + 4112 = 2*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 0*p + 0*p)*(p**3 + 0 + 0) + (p**2 - 4*p**2 + 2*p**2)*(p**3 - p**3 + p**3).\nAnswer: -2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 19*m**3\/3 - m**2\/2 + 2*m - 16. Let d be w(-2). What is the highest common divisor of 32 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*m - m - 2*m)*(11*m - 2*m - 4*m)*(-9*m + 10*m**3 + 9*m).\nAnswer: 400*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -6*h + 1. Is m(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 7*u + 3047 - 5*u + 86*u**2 + 9*u**2 - 3049.\nAnswer: 95*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*f**3\/5 + 94*f**2\/5 - 128*f\/5 + 26\/5 = 0. Calculate f.\nAnswer: -13, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 29 = 16*x. Solve -1 = -5*k - 4*g - 7, -x = -k - 3*g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 357 + -211. Suppose -2*z + 3*i = -0*z - g, 3*z - 202 = -4*i. Calculate the highest common factor of 14 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -32060612?\nAnswer: -32060614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/304991557 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11702 divided by 5\nAnswer: -11702\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26891, -107585, -242061, -430307, -672311, -968061, -1317545?\nAnswer: -1720751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4078, -44, -2, -5 in increasing order.\nAnswer: -44, -5, -2, 4078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -13*n**2 + 20*n**2 - 9*n**2. Let x(o) = -o. Give x(b(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*j = -17, -2*y - 3*j - 15 = -y. Put y, 14, 4, -2 in ascending order.\nAnswer: y, -2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*s - 4*r - 17025, -4*r = -4. Calculate the highest common divisor of 26 and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 877.5992l in millilitres?\nAnswer: 877599.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iizzmbmibzibiiz. What is prob of sequence iim?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 1 - 188*b - 253*b - 4.\nAnswer: -441*b + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 4. Let n be g(-3). Let m(j) = 13 - 11 + j - 2*j - 3*j**2. Let y(w) = -w**2 + 1. Give n*m(d) - 4*y(d).\nAnswer: d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-69)\/(-37)*49532\/7686 - 12\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*p = 304, -5*b = -p + 646 + 105. Let d be b\/(-54) - (-1 - 14\/(-18)). Is -57*((-7)\/(-3) - d) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*w - 40, 8*w - 3*w - 68 = 4*v. Let s be 14\/6 - (-10 + w). Let u = 0.6 - -4.4. What is the biggest value in 2, s, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-6)*(-15)\/(-35)*-5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 6*v - 2*v + 344, -i - 114 = 2*v. Is -116 equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*p**5*q - 38*p**3 - 31*p**2 - 3*p*q - 1 wrt p?\nAnswer: 1020*p**2*q - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 at most 3.4012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 19408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.68 - 1.68. What is the nearest to 0.1 in -13, o, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - z + 4. Let n(a) = -a - 10. Let t be n(-10). Let k be p(t). Solve k*l - l - 5*r + 19 = 0, l - 3*r + 9 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -376471260 divided by -732?\nAnswer: 514305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -22*q + 25*q - 122, 0 = -3*q - h + 124. Calculate the lowest common multiple of 18 and q.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12486182 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((12\/(-152))\/(65880\/(-4636)))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000055124 to six decimal places.\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 9:41 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 31*f**4\/12 + 1368*f. Let a(m) = 173*m - 2. Calculate a(r(t)).\nAnswer: 5363*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 563399\nAnswer: -563404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/651 and -67\/210.\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 10) to base 3.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.597 + -1371.\nAnswer: -1372.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.41 and 1959422?\nAnswer: 803363.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*n + 0*n + 6*n)*(16 + 142 + 1397) in the form d + l*n and give l.\nAnswer: 17105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 - 7*c - 2. Suppose -9*h + 4*h - 60 = 0. Let y(i) = -i - 23. Let o be y(h). Let d(b) = b**2 + 4*b + 1. Determine o*d(k) - 6*v(k).\nAnswer: k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1190 = -6*c + 208. Is c\/(5 - (1 + 3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -51*r - 3036. Give h(-60).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6832853 is divided by 2087?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/4 - 3*g + 9.\nAnswer: (g - 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 87, 1, -8636, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 11*u - 9. Let b be f(10). Suppose b = -5*m + 11. Suppose -m = -5*d + 73. What is the highest common factor of 15 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/6 + 2*x**4\/3 - x**3\/6 - 2*x**2\/3.\nAnswer: x**2*(x - 1)*(x + 1)*(x + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 10*c**2 - 10*c + 1. Suppose 11 = -2*x + x + t, -2*x - 2*t - 18 = 0. List the prime factors of o(x).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 4*x - 788 - 1166, 0 = 3*d - x - 1942. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6779*s + 6784*s = -7*j + 56, j - 8 = -6*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*s = 175*s - 8*s - 1245. Solve s*g + 23 = -2*l, 272*l - 17 = 4*g + 275*l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - (-11)\/(-3))*207. Suppose -d*n = -72*n + 567. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6*-0.331\nAnswer: 0.5296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 389, 0.1 in decreasing order.\nAnswer: 389, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 35668, 51, 0, -4?\nAnswer: 35668","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6334000 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 8. What is the closest to 2\/3 in 12, 1\/2, l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29298 + 10680?\nAnswer: 39978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 157a60a4?\nAnswer: 157a60a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, 39084 in decreasing order.\nAnswer: 39084, 10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*s**5 + 29290*s**3 + s**2 - 2*s - 18225?\nAnswer: 300*s**2 + 175740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -w**6\/120 + 2*w**5\/15 + w**4\/3 - w**3\/2 - 2*w**2 - 190. What is m(9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 2*u**6\/135 - u**5\/15 + u**4\/9 - 2*u**3\/27 - 21*u + 10. Solve w(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 5*a + 1, 7893*r = 14*a + 7891*r + 22 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -834 - -837.79. Let n = 3.89035 - m. Let g = n - 0.1. Round g to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-318))\/(((-1115)\/(-5575))\/((-6)\/(-15))).\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 7*j + 8. Let v = -225 - -217. Let n be k(v). Let l(i) be the third derivative of -i**6\/120 - i**5\/60 - 2*i**3\/3 + i**2. What is l(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 70822 = -2*c, -4*p + c = -7*p + 53109. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 10) + 7 - (-6 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**4\/3 - 5*n**3\/6 - n**2 - 240*n + 1. What is b(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 17?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, 41075, 20 in decreasing order.\nAnswer: 41075, 20, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 6:36 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2, 7, 16, 29, 46, 67, 92?\n\"Answer: 2*y**2 - y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3915*f - 3931*f - 3914*f - 3914*f - 3912*f + 19585*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3425*z**2 - 4147*z**2 - 124*z + 248*z - 1 - 124*z.\nAnswer: -7572*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38091 + 38091.00061674. What is k rounded to 5 dps?\nAnswer: 0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 21*l**2 - 2*l + 50. Let c be v(21). Find the common denominator of 65\/12 and c\/(-3)*4\/92.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -13.9. Let n = y + -1.7. Which is the second biggest value? (a) -0.3 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.66881 rounded to one dp?\nAnswer: -14.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*z**5 - 5*z**5 + 13*z**5 + z**5 - 5*z**5 + 3*z**5 + (-2 - 2 + 2)*(-3*z**5 - z**5 + 5*z**5) + z**2 - z**2 + 4*z**5 - 2*z**5 + 2*z**5 + z**5.\nAnswer: -3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2956435026?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 151798 and 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 1 + 776*z**2 + z - 6*z + z. Let y be k(7). Suppose 5*q - 34738 = 4*n + 41267, 2*n + 3*q = -y. Round n to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -182*g + 379*g - 2 - 190*g + 21*g**3 + 9. Let i(l) = 14*l**3 + 5*l + 5. Calculate 7*i(w) - 5*x(w).\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -15. Let f = -2.1 - k. What is the nearest to f in 1\/3, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 + 97 = 8*z. Let m(y) be the first derivative of 13 + 1\/12*y**3 + 1\/8*y**z - 1\/20*y**5 + 0*y - 1\/16*y**4. Let m(a) = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g = 10. Suppose -j + 27 = 3*x, 0 = g*j + 2*j + 2*x - 58. What is the remainder when 45 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21772, 87102, 196020, 348550, 544716?\n\"Answer: 4*a**3 + 21770*a**2 - 8*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by (1 + 46\/(-6))*(-9)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 9 - 4 = -m, 5*n - 52 = -4*m. Let x = m - 10. Find the second derivative of a + 6*a**x + 2*a**3 - 2*a**3 - a**3 wrt a.\nAnswer: 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 + r**5 - r**4 + (2*r**2 - 2*r**2 - r**3)*(10*r**2 + 0*r**2 + 4*r**2).\nAnswer: -13*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 + 17*o + 6. Let n be j(-9). Let w = 103 - n. Calculate the greatest common divisor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11913\/66 - (-6)\/(-4). Let d = k - 179. Solve d = -6*f + 7*f - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/2, -5, -6.22?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3060 and 1332460?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/102182 or 0?\nAnswer: 1\/102182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 293*g - 725*g + 321*g - 1998 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 247*u + 2. Let i(z) = -498740*z. What is x(i(w))?\nAnswer: -123188780*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -89*w + 1149. Calculate v(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 h when three letters picked without replacement from hqthhthhhmhhhq.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 684226?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62.5 - -61.2. Let c be (-208)\/(-660) + (-2)\/11. What is the smallest value in t, c, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*k = 4. Suppose -2*w + 31 = -w - 2*h, -2*w = k*h - 32. What is the remainder when 37 is divided by (-178)\/(-14) + 6\/w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2. Let y(h) = -5408*h + 2028. Determine -2028*r(d) - 2*y(d).\nAnswer: 10816*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1074 - -1078. Put -2, 12, 2, r, -1 in decreasing order.\nAnswer: 12, r, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + sqrt(396)) + (sqrt(99)*1 - -3*-2*sqrt(11)))**2.\nAnswer: -12*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(((o*(o*o**(-2\/13))\/o*o)\/o)\/o)\/o)\/(o*o**(-2)\/o)*o*o**(-2)\/o*(o\/o**(-3)*o)\/o assuming o is positive.\nAnswer: o**(50\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -383 + 390. Suppose 30 = -b + 5*v, -15 = w*b - 3*b + v. What is the closest to -1 in 5, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1521 + 12153\/8. Let i = -143\/72 - x. Let w = 398 + -9152\/23. Which is the closest to -1? (a) 1\/4 (b) w (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 1188 = -3*z, 4*c + 1584 = -3*z + 6*z. Let p = -239 - c. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 * -1.6\nAnswer: -73.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-912)\/(-2888) + (-576)\/(-1064).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 80\/10200*-17*2139\/26?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647079827?\nAnswer: 19, 1847, 18439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*j = -47 - 103, 0 = -5*a + 2*j + 413. Suppose u - a = -26*u. Solve -2*i = u*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-847)\/(-44))\/((-1358)\/776)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23393092 divided by 1?\nAnswer: -23393092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208 - z - 103 - 105.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 14 - 4. Suppose t*l + 3*w = 369, -l - 2*w - 354 = -3*l. What is the greatest common divisor of l and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*p + 105 = -21. Let p*k - 2*k**2 + 0 + 1\/2*k**3 = 0. What is k?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhlc when four letters picked without replacement from {h: 2, c: 2, u: 2, l: 4}?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 10*s**2 - 7*s + 4. Let t be l(7). Suppose t = -2*f + 8*f. Solve 3*r - 4*b = -27, -b - f = r - 5*b for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -831*i**5 - 54*i**4 - 124279*i wrt i?\nAnswer: -16620*i**3 - 648*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5038)\/9)\/(-1) - (-6)\/27. Let l be (214\/4)\/(28\/u). Round l to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -73 - (-2 + 0 + 4). Calculate the remainder when 26 is divided by (-6)\/(-8) + j\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -42946, -42909, -42858, -42793?\n\"Answer: 7*y**2 + 16*y - 42969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -3*h**2\/5 + 22971*h\/5 - 754776\/5 = 0?\nAnswer: 33, 7624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times -4403\nAnswer: -176.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*g + 15084 = -14948 + 5963 for g.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 188, -20, 19, -5, 2, 1 in descending order.\nAnswer: 188, 19, 2, 1, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26105?\nAnswer: 5, 23, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 149? (a) -0.4 (b) 3 (c) -1754.4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*c + 18 = 169*c. Let j(i) = -i**3 - 6*i**2 - 10*i - 5. Is j(c) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.5 + 10.39. What is the second smallest value in 4, 5, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (65 + -8 - 120)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11971.\nAnswer: 11971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2184 rounded to 2 decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14)\/(-6))\/(((-39)\/711)\/13). Let t = r - -552. Are t and -12\/61 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.099 - 4.099. What is the third biggest value in s, 0.03, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17234288?\nAnswer: 2, 1077143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 548*j - 129367 = 319993. Calculate the highest common factor of j and 3075.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1820871, -1820878, -1820885, -1820892?\n\"Answer: -7*l - 1820864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96 or -18\/11?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**3\/6 + 3*p**2 + 3*p - 21. Let s = -144 + 154. Calculate o(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 20*j - 95 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*s + 74 = 3*a, 4*s = -16. Suppose 0 = x - 4*y + 18, 3*x - 3*y = -16 + 7. Calculate the smallest common multiple of a and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**5\/((f*f**(-2\/13))\/f))\/(f**(-4)\/(f*f\/(f**0\/f))))\/((f**(1\/2)*f*f**(3\/2))\/(f**(2\/5)*f*f**(-1)\/f)) assuming f is positive.\nAnswer: f**(556\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 3*r + 1\/20*r**4 + 3*r**3 + 135\/2*r**2 - 6. Factor g(o).\nAnswer: 3*(o + 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 30 = -5*r, 2*f - 2*r - r - 7 = 0. Suppose f*j - 51 = 64. Suppose -4*w + 3*x = -31, -4*w + w = -2*x - j. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 24*x - 4. What are the prime factors of j(2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-66)\/462 + 55\/42)?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43616 and 58656?\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 151*c**2 - 1. Let b(r) = -4096*r. Calculate p(b(g)).\nAnswer: 2533359616*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 1:11 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -79263 divided by -829?\nAnswer: 79263\/829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 252, 280, 310, 342, 376, 412, 450?\n\"Answer: a**2 + 25*a + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -32*x**5\/5 + x**2 + 34*x + 35. What is the first derivative of w(t) wrt t?\nAnswer: -128*t**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1547307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1013330 - 16?\nAnswer: 1013313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*k**4 + 945*k**3 - k**2 - 26*k - 943483 wrt k.\nAnswer: 16*k**3 + 2835*k**2 - 2*k - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01951 - 0.21951. Let f = -0.2 + 0.4. Which is the closest to f? (a) l (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*-5)\/sqrt(10))**2 + -4 + sqrt(13)*5 - (-3*(sqrt(325) + 2)**2 - ((sqrt(325) - (-1*sqrt(325) + sqrt(325)))*5)**2).\nAnswer: 65*sqrt(13) + 9433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 4:35 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 378, 845, 1306, 1761, 2210, 2653, 3090?\nAnswer: 3521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 1297.16, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36072 * -20.\nAnswer: 721440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -2)*(-3)\/15. Let j be 18\/20 - (-2 + (-10)\/(-4)). Let m = -0.3 - -0.1. What is the nearest to j in g, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2440305?\nAnswer: 3, 5, 7, 61, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 25. Let i = k + -15. Let f(y) = -y**3 - 7*y**2 + 6*y - 4. Is 12 a factor of f(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*x + 64*x = -133*x + 414 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 13.48, -0.2, 3\/5, 2 in decreasing order.\nAnswer: 13.48, 11, 2, 3\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 2 - 2)*(1 - 1 - 2)*(-3 + 0 + 6).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 1 + 0 + 10*d**2 + 0. Let o be (0 - 2 - -3)\/(-1). Give j(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Sort 3, 25, 20699, -0.1 in decreasing order.\nAnswer: 20699, 25, 3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11413?\nAnswer: 101, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*q - 82*q + 25*q + 43 = 2455 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83*p - 3*p + 36*p)*(-p + p - p).\nAnswer: -116*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.9 in -2\/5, -2\/7, 0, -0.16?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -335*g*o*p**2 + 457696*g*p**3 + o**2*p**3 + 6103*o**2*p**2 wrt p.\nAnswer: 2746176*g + 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xcjiijjehxhjj. What is prob of sequence hce?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 29841*y**2 - 56 + 2*y + 29850*y**2 + 385 - 2*y**4 in the form k*y**2 + g*y + l*y**4 + m*y**3 + j and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108064388*o**2 + 53464043*o.\nAnswer: 216128776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 4 - 7)*(-14*t - 4*t - 15*t).\nAnswer: 825*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 13*m + 20. Let h be j(-16). What is the units digit of (147\/h)\/((-3)\/56)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6135 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 + -15. Suppose j - h = -2. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11607\/14 - -830. Let k be ((-40)\/(-4))\/(2\/(-6)). Calculate the common denominator of (6\/k)\/((-32)\/10) and i.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h. Let v(l) = -l**3 + 16*l**2 - 2*l + 40. Let i be v(16). Let m(s) = 9*s - 23*s + 0 + 11*s - i. What is f(m(q))?\nAnswer: 9*q + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 - 2*p**2 + p + 1. Determine k(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 34. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 11*p**4 + 6*p**3 - 6. Let y(a) = -21*a**4 - 11*a**3 + a + 11. Let x(c) = -11*g(c) - 6*y(c). What is the second derivative of x(k) wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/25, 2\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 2. Let h(a) = -65*a - 35. Give h(c) - 5*u(c).\nAnswer: -70*c - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 12:24 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25878.\nAnswer: 2, 3, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/8 - 87912372*c + 5152390100444256.\nAnswer: 3*(c - 117216496)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 272 = 22*i. What are the prime factors of (-17)\/(85\/(-450))*i\/(-2)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1576441 is divided by 253?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/30 - 78\/36.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3960977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**3 + 3*h**2 + 2*h + 2. Let b = 3 - 3. Let r(n) = b*n**2 + n + n**2 - 2*n**2. Determine -4*r(x) + u(x).\nAnswer: x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5295\/30 - -1) + (0 - 2\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61857 and 38259?\nAnswer: 87651369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b**2 + 2. Let n(h) = 5*h**2 + 3. Let o(y) = -3*c(y) + 2*n(y). Let z(p) = 13*p - 3 - 1 + 4. What is o(z(i))?\nAnswer: -845*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/993827 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from dyydbydydyybdy.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 11:57 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(4*1)*(-12 - -20). Suppose -z + g = -5. Suppose -3*k + 72 = -3*u + u, 2*u - 84 = -3*k. Calculate the remainder when k is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1847*w - w**2 + 64 - 2473*w - 37 - 29.\nAnswer: -w**2 - 4320*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 17. Are v and -9 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 minus -894.5536?\nAnswer: 894.6836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**8\/13440 - r**7\/2520 + r**6\/360 + r**5\/30 - r**4\/3 + 18*r. Let f(j) be the third derivative of n(j). Factor f(b).\nAnswer: -(b - 2)*(b + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.049 take away 2837?\nAnswer: -2836.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 12*p. Let g be d(6). Suppose 4*r = 248 + g. Suppose -4*q + r - 32 = 0. Calculate the remainder when 23 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1858050?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2081614200 to the nearest one million.\nAnswer: -2082000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -7*x + 18. Let q(o) = 5*o**2 + 3*o + 1. Let h(f) = -f. Let k(i) = x*h(i) + q(i). Is 3 a factor of k(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/265512 and -187\/1090908?\nAnswer: 50181768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 4:23 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7924 + 7923.83. What is the nearest to -2\/9 in -5, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 301, 313, 347, 415, 529, 701, 943?\n\"Answer: 2*q**3 - q**2 + q + 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -17*h**6\/180 + 5*h**4\/8 - 4*h**3 + 27. Let l(x) be the third derivative of v(x). Find the first derivative of l(t) wrt t.\nAnswer: -68*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-3)\/2*(36 + -34). Suppose -o*p = p - 472. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -52, -113, -218, -379, -608?\nAnswer: -917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 339799705?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1838*20\/(-22) - -1. Let y = 1673 + h. Find the common denominator of 11*(-16)\/(-264) - 130\/(-66) and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 43*s**2 + 54*s - 477. Give t(42).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9894760*l**5 + 3472*l**2 - 29097 wrt l?\nAnswer: 593685600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 7*l**2 - 8*l + 7. Let c be w(8). Suppose 2*v - c*v + 10 = 0. Suppose -a - 2*t + 1 = 0, -t - v*t - 9 = 0. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22625*u**2 + 176*u + 73165459.\nAnswer: -45250*u + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100 - 2*s**2 - 167*s + 24 + 78)*(0 + 0 + 2)*(s + 0 + 0).\nAnswer: -4*s**3 - 334*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 1:43 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/12*2*(-4)\/2*(-431)\/(-6465)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 9:18 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.64 and -272.\nAnswer: -174.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/80 or -1\/3?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -91\/10740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 44484 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -644278 - -1250568. Let j = -291827 + x. Suppose 5*q = 29463 - j. Round q to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/n**(-5\/6)))\/n**(-4\/17)*n**33\/(n\/n**(-34)) assuming n is positive.\nAnswer: n**(-163\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20601.\nAnswer: 3, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75792 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + 2.8. Let z = 31.62 + -32. Let d = 0.28 + z. What is the nearest to -10 in c, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 3*r - r)*(11 - 4 - 1)*(-2*r + 0*r + r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*b**3*h**4 + 24*b**3*h**3 - 169*b**3 - b wrt h?\nAnswer: 16*b**3*h**3 + 72*b**3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1104)\/460*30\/(-12)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*k = -k + 2, 0 = 5*p - k - 35. Suppose -p*g + 3*g + 147 = 0. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/35*25\/(-15)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*2*(-1 - (-6)\/(-4)). Suppose -86 - 1407 = -t - 4*n, -h = 5*n. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 + 0*p**2 + p**2 + (-5 - 1 + 4)*(p - p - 3*p**2) + 4*p**2 + p**2 - 2*p**2 - 31*p + 193*p**2 + 31*p.\nAnswer: 201*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 20*k + 74. Let n be v(-23). Let h be 46\/6 - n\/(-15). Let s be (-6*(1\/h + 0))\/1. What is the biggest value in 1\/2, -4, s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -11. Let r = 17 - m. Solve 3*k = 0, 8 + 7 = 3*z + r*k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 10. Let c(a) = 3*a - 3. Let b be c(4). Let h be 6*(2 + (-30)\/b). What are the prime factors of r(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 3*c - c)*(-198 - 7*c + 198 - 2*c**3).\nAnswer: 4*c**4 + 14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5456 = -76*a + 4392 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 - -44. Let k be (t\/(-7))\/(6\/21). Suppose -s + k = 3*s - 5*x, -3*x = -s + 6. Solve -3*c - 3*u + 15 = s, 17 = -3*c + 2*u + 3*u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2984 divided by -1509?\nAnswer: -2984\/1509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j + 3*s + 157, -5*j + 404 = 4*s. Suppose j + 116 = 4*h. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -339*p**3 + p**2 + 3*p + 2. Let m be y(-1). Let d = 108 - m. Let r be (2\/15)\/(d\/(-55)). Which is bigger: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 7:35 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2797 by 1.\nAnswer: -2797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45.16 - -2.64. Let i = -46 + l. Let g = 0.8 - i. Which is the third smallest value? (a) -0.1 (b) g (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0749 + -0.07490811. Round b to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/20 and 107\/452012.\nAnswer: 2260060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -0*p + 2*p. Is (p\/(-8))\/((-4)\/(-48)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40810 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1.5. Let s = -141.997 - -141. Let o = s + -0.003. What is the nearest to 1\/4 in v, 2, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 24 = -8*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271614616 is divided by 834.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**3\/6 + 3*g**2\/2 - 6*g + 3. Let d be l(-2). Solve q + 4*t - 2 = -d, -12 = -3*q - 3*t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 8*s**2 + 5*s - 9 + 0*s + 4*s + 2*s**3. Let r be t(7). Suppose 2*i + 14 = -r*i. Sort i, 4, 3 in increasing order.\nAnswer: i, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*m - 22 = -3*m, -3*m + 21 = 3*i. Solve 12 = 2*w + 4*s, 3*w - 3 = -3*s + i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5155*i*t + 256*i + 150 with respect to t.\nAnswer: 5155*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3819 and 4623.\nAnswer: 87837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from vvlfvffffvvfvfffvfv?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066189297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7101 + 439?\nAnswer: 438.2899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 10 = 6*f. What is the units digit of ((-20)\/6)\/(f\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 10 + -10 - -16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -4 (b) -0.2 (c) 0.5 (d) 3783\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -83*t**9\/252 - 387*t**5\/10 + 9*t**2 + 92. Find the third derivative of o(i) wrt i.\nAnswer: -19920*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21 + 644.\nAnswer: 644.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476323755*n - 476323755*n - 2*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109094909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - z - 20 + 6, 29 = -3*v - 4*z. Let o = -26 - -15. Which is the third smallest value? (a) o (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) 1694 (c) -5 (d) 0.5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**2 - 12264*v + 146736 = 0.\nAnswer: 12, 4076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 15) in base 9?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m - 1. Let h be v(2). Let i(o) = -o**3 - 7*o**2 - 6*o + 2. Let b be i(-6). Let t(w) = 4 + 3 - 3 - b*w. Let a(n) = 5*n - 9. What is h*a(d) - 7*t(d)?\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-384)\/144)\/((-16)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -958262*j + 1419775?\nAnswer: -958262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + -3. Let h = 199 - 175. Let a = h + n. Solve 3*b + a*b + 3 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 minus 1104537091867?\nAnswer: -1104537091867.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10972090 rounded to the nearest 100000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 12:15 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 2. Let h be p(-4). Let t(q) = 11*q - 217. Let a be t(22). Suppose 0 = 3*w + 2*j - 34, -3*w - 5*j + 15 = -a. Solve h*n + 0 + w = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.4 - 2.3. Which is the third biggest value? (a) -1\/2 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence luu when three letters picked without replacement from etluueuuu.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r + 2*z - 55 - 1 = 0, 3*r - 4*z = -13 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 479, 493, 517, 557, 619?\n\"Answer: f**3 - f**2 + 10*f + 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 20331543 (base 6) to base 2\nAnswer: 10001111011011110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 5*o**2 + 8*o - 10. Suppose 0*y + 6 = y. Let u be m(y). Solve 0*h + 4*a = h - 11, -u*a - 1 = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 1. Let i(p) = p**3 - 50*p**2 - p + 49. Let m be i(50). Let u(b) be the second derivative of -2*b**3\/3 + 3*b**2 - b. Determine m*u(q) - 6*r(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*x - 25 = -67*x - 5*o, 3*o - 15 = -4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from txwxlxlttvlxwxd.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6364 is divided by 147?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 61458223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74 - -77.85. Let b = u - -0.15. Let r be -1*(1*-2 + 1). What is the third biggest value in r, b, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 600*y**2 - 598*y**2 + 4125*y**3 - 4102*y**3.\nAnswer: 23*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 0*z**3 - 2\/5*z**5 + 0*z + 2*z**2 - 2 + 0*z**4. Find the second derivative of i(s) wrt s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/7450 and 43\/105?\nAnswer: 156450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -110330302 (base 4) to base 14\nAnswer: -233b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(819\/702)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5713*h + 1903*h - 703*h**2 + 1905*h + 1905*h.\nAnswer: -703*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2072 is divided by 306?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10392 and 358524?\nAnswer: 717048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5161 less than 0.013?\nAnswer: 5161.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-350)\/(-1050) + (-24)\/54*-7)\/((-1)\/3)?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 14 = 2*y, 6*y = 2*y + r - 22. Let h be (-16)\/y - 46\/69. Solve -4*f + 2 + h = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 7*z - 10. Suppose 7*k - z*k - 405 = 0. Let l = k + -55. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*g - 9287 = -2268 + 5527. Is -369 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 163 - 251. Let a = 56 + o. Let f = a + 31.99999792. What is f rounded to seven dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -3 - 14\/35) + 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3 + 6)\/12)\/((-1)\/(-20)). Suppose -v + 5*d = -302, -g*v = -v + 5*d - 1083. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210755 (base 8) to base 15.\nAnswer: -15ba0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 118523 + -118528.0511. Let x = -1954 - -1959. Let g = x + s. Round g to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 + 7762962*h - 131969776.\nAnswer: -2*(h - 3881464)*(h - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 31*k + 724. Give z(-35).\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 15*n**2 - 36*n + 32. Suppose 4*b = 5*w + 105, w + 5*b = -2*w - 26. What is the remainder when a(w) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(208) + (2 + sqrt(1053))**2 + (sqrt(13) - (sqrt(13) + 2 + -1)**2) + sqrt(13) + 5 + 1 + sqrt(13).\nAnswer: 41*sqrt(13) + 1048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**3\/3 + 26*i + 2. Let v(h) = -110*h. Give v(f(s)).\nAnswer: -220*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 3:05 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/12)\/((-15)\/(-9)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/189910 and -79\/20.\nAnswer: 379820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h + 2323*h**2 + 3*h**3 - 2326*h**2 - h to the form c*h**3 + y*h**2 + i*h + a and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-25)\/(-10))\/((-1)\/(-2)). Solve 27 = -d*m + 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*f = 3, 5*n = -3*f + 12 + 3. Let k = -13 + 24. Suppose -k = -4*y - n. Sort y, 0.02, -0.1 in decreasing order.\nAnswer: y, 0.02, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1331) - -6*sqrt(1331)) + sqrt(1331) + (sqrt(539)*1 + sqrt(539) + (sqrt(11) - (sqrt(66)\/sqrt(6) - sqrt(11))*5))**2.\nAnswer: 88*sqrt(11) + 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*b + 0 = 4, -5*b - 20 = -5*s. Suppose -s*y + 36 = y. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 45\/10*(-4)\/(-6). Let x = s + -5. Let d be (4\/x + 1)\/3. Which is the closest to d? (a) 4 (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by -7?\nAnswer: 41\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 - 64*l + 266. Calculate the least common multiple of 70 and o(32).\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -217 + 408. Let q = -767\/4 + g. Let j = -10 + 10. Is q less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 1)*(-2*v - 2 + 2) - 12*v - v + 0*v)*(-4*v**2 + 5 - 5).\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/(p*p**(-1\/4)*p*p)))**(1\/6)*p\/(p*p**(-7\/5))*p\/(p**6\/p)*p*p assuming p is positive.\nAnswer: p**(1\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-30)*(-15)\/9*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (34 - -77) - -55?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9042 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.89 - 0.89. Suppose -p = 4*p + 20. Which is the closest to y? (a) 2\/11 (b) p (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 18 = 2*n, 5*h - 4*n + 45 = 4 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/4*35\/245*-2*0. Solve 4*j = j - 2*u - 12, -2*u = b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from dfftdfufdffudtduuua.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -13. Let a(l) = d*l**3 + 2*l**3 - 4 + 4*l**2 - l**3. Let k = 4 - 8. What is a(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*u = u + 2, -17 = 4*p + 5*u. Let m be (-7)\/p + (-10)\/(-15). Find t, given that 48*t - 19*t**2 + 2*t**m - 16*t + 3*t**2 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 2. Let a be y(3). Suppose -3*g - 10 = -8*g. Suppose 17 = 4*v + 5*z, -4*v - 10 = -9*v - 4*z. Sort g, a, v in decreasing order.\nAnswer: g, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by -42.\nAnswer: -37\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 50*b - 108.\nAnswer: 2*(b - 2)*(b + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119882997?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 308*n - 311*n. Solve -5 + 29 = o + 5*x, 4*o - n*x = 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 830*y**2 + 41245*y + 532900.\nAnswer: 5*(y + 20)*(y + 73)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*w + 2006 = -31*w + 4*z + 2162, -8 = 2*z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18687 is divided by 2662.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4 - -2)\/(69\/184) and -77\/424.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 + 56*i**2 + 724*i - 3660. Determine c(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-21)\/12)*2*2. Solve 0 = -f*g + 4*g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*f - 80 = 260 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2642*t + 602. Calculate the remainder when j(0) is divided by 121.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 154.\nAnswer: 154.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + -7. Let q = 33 + -25. Let s = o + q. Which is the smallest value? (a) 5 (b) s (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from {w: 1, y: 4, q: 4, d: 6, g: 5}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1953, 1910, 1825, 1698, 1529, 1318?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 12:40 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 4*s**2 + 0*s**2)*(-2*s**3 + s**3 + 3*s**3) + 1 + 49*s**4 - 18*s**4 - 31*s**4 - 765*s**5.\nAnswer: -763*s**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 8) to base 13.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*k = 51, -25 - 29 = -3*h - 5*k. Calculate the remainder when 36 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*i + 80*i = -12*f - 81*i + 617, 8*f + 5*i = 433 for f.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f - 31. Let x be g(17). Let t = -92 - x. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 12\/11*b**2 - 3 - 30\/11*b + 2\/11*b**3. Factor u(g).\nAnswer: 6*(g - 1)*(g + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 900 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -4*l - 87. Calculate the greatest common divisor of 685 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.196467 millennia to months.\nAnswer: 2357.604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -6. Suppose 0 = 4*z - i*z. What are the prime factors of z + -1*(1 + -16)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 7*n + 6. Give q(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 134\/3*9\/(-6). What is the common denominator of 11\/16 and (-3*y\/9)\/4?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51482*m = -51496*m + 602 for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 - 3*i**2 + 0*i + 0*i.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**(-1\/2)*d))\/d)**(-27)\/(d**(-1)*d*d)**26)**(18\/11) assuming d is positive.\nAnswer: d**(-225\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1836834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 11 = -i. Let d(x) = -x**2 + i*x**2 - 5*x**2 + x. Let q(k) = 2*k**2 + 3*k. What is -6*d(c) + 2*q(c)?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4\/5 + 384*a**3\/5 + 9072*a**2 + 293760*a + 3045600 = 0. Calculate a.\nAnswer: -30, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -481, -883, -1183, -1381, -1477?\nAnswer: -1471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 22. Let x be (8 - v\/(-2))*-1. Let n = 43 + x. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(2\/7))\/b)**(1\/10)\/(b**(1\/4)\/(b\/(b*b\/(b**6\/b))))*((b**(-1)\/b)**(3\/53))**(3\/17) assuming b is positive.\nAnswer: b**(486723\/126140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z - 3. Let o(f) = -16*f + 8. Let d(y) = 6*o(y) + 16*v(y). Let q(i) = -4*i. Calculate d(q(k)).\nAnswer: 64*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 654*b - 457 + 819 - 362.\nAnswer: 654*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -36. Let h = 1619.6 - 1621.6. Which is the biggest value? (a) 0.3 (b) h (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -1406*l**2 - 62788. Let c(d) = d. Give c(f(t)).\nAnswer: -1406*t**2 - 62788","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 252 and 126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-110) + 22\/(-121).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3213.9 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 2*r**2 + 7*r - 6. Let k be j(3). Suppose 9*o - 750 = -k*o. What is the remainder when o is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*j - 0*q - 19, 2*j + 3*q = 25. Suppose 3 = 4*v - 1, 0 = -5*r + 5*v - 10. Let c be (-4)\/(4*r\/12). What is the highest common divisor of c and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-3)\/(-63))\/((201\/(-54))\/(-67)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 18*i**2 - 654*i + 4. Let z(n) = 14*n**2 - 657*n + 3. Give 3*o(y) - 4*z(y).\nAnswer: -2*y**2 + 666*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**2 + 7*k - 97. Let s be w(5). Let z be 110\/3*285\/s. What is the highest common factor of 22 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 0.06, 2\/5, 2\/9, 5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12.957 and -1585088.\nAnswer: -1585075.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/108*0)\/((-2)\/(-4)*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.5 + 6.5. Let r = 0.7 + -0.4. Let q = 38.9 + -39. Which is the closest to q? (a) w (b) 1\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 - 2*i - 23. What is the units digit of g(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3517116158 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1130*a**2 + 772*a - 2265*a**2 + 5 + 1134*a**2 as h*a + s*a**2 + k and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 8*i**2 + 3*i + 7. What is c(-8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 469562 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -273 at most as big as -275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 536993, 537020, 537047?\n\"Answer: 27*r + 536966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/(6\/(-18)) + (-42)\/3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 87 or 45583\/530?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 117*k**2 + 264*k - 8898. Give i(-114).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*a + 35*a = 165. Let h(l) = -2*l + 15. Let u(t) = 3*t - 29. Let d(g) = -5*h(g) - 3*u(g). What is d(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 8 = -0*v. Which is the nearest to -2\/5? (a) 0.9 (b) -5 (c) 4 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 16 = 0, 3*h - 6 = -p + 4*h. Suppose -p*w = 3*w - 10. Suppose 2*l - l = -3*q + 77, -2*l = w*q - 46. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 13, x: 6}. Give prob of sequence jxj.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((65\/(-20))\/(-13))\/(6\/36)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 8*q**2 - 8*q**2 + q**4 + 18*q**2 + 2*q**3 in the form u*q + b*q**4 + t*q**2 + o + p*q**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + -1*sqrt(75) + 4)**2 + ((sqrt(2112) - (sqrt(2112) - -2*sqrt(2112))) + sqrt(2112))\/(sqrt(11) - (sqrt(1100) - 3*sqrt(1100))).\nAnswer: -8*sqrt(3)\/21 + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 8:51 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 11:50 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1943, -3886, -5829?\nAnswer: -7772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-335)\/(-15) - -1)\/((-44)\/(-462)). What is the greatest common factor of a and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/7)\/(-2))\/((-38664)\/(-504) + -77)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -28, 6, -35, 0 in descending order.\nAnswer: 6, 2, 0, -28, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/(v\/(v**(4\/7)*v)*v))\/(v**0*v*v**0*v) assuming v is positive.\nAnswer: v**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 99092.05ng?\nAnswer: 0.00009909205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b3d71 (base 16) to base 15.\nAnswer: 51a4d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -48, -121, -194, -267?\n\"Answer: -73*q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7684794 and 10?\nAnswer: 38423970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -126 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 9*h**2 + 2*h. List the prime factors of d(-4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112643 divided by -1.\nAnswer: -112643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (3 - -1 - (0 - 2) - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4260, 4295, 4360, 4455, 4580?\n\"Answer: 15*b**2 - 10*b + 4255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2. Let b(z) = z**2. Let f(n) = 2*n**2 - 1. Let g(a) = b(a) - f(a). Let k(p) be the first derivative of g(p). Determine u(k(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 268 - 268.11. Is b > -5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 317 + 327 + s + 0*s - 3*s - 637 in the form v + r*s and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6*g**2 - 3 + 0 - 2 + 4. Determine y(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u\/u**3))\/(u**(-3)*u))**(2\/11))**37)**21 assuming u is positive.\nAnswer: u**(7770\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 45598 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 84, 50, -76, -294, -604, -1006?\n\"Answer: -46*z**2 + 104*z + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-6 + 6 + 7*d)*(5*d + 3*d - 23*d + (2 - 2 + 2*d)*(-1 + 1 - 1)).\nAnswer: 238*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 13*p**4\/24 + 13*p**3\/2 - 204*p**2 - 4*p. Give h(-6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -552.\nAnswer: -556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -179\/264 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33544 - -126?\nAnswer: 33672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -43*v + 69*v - 28*v. Let c(q) be the first derivative of 22*q**3 - q**2\/2 - 27. What is s(c(n))?\nAnswer: -132*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.06 (b) -3470 (c) -3 (d) -3.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 2*y**3\/3 - 552*y**2 + 152352*y - 1762. Determine x so that a(x) = 0.\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75343.\nAnswer: 59, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 10:30 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 118, 234, 350?\n\"Answer: 116*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 871 and 1675?\nAnswer: 21775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -20*z**3 - 1. Let s be l(-1). Find the third derivative of -21*c**5 - 4*c**2 - 3*c + s*c**5 + 3*c wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 879 + -372. Let o be (423 - 1)*(-9)\/18. Let x = g + o. Round x to the nearest 10.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486450 is divided by 21150.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert a593 (base 12) to base 6.\nAnswer: 215503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10776, 16780, 22798, 28836, 34900, 40996, 47130, 53308?\n\"Answer: o**3 + o**2 + 5994*o + 4780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 217773 times 0.3\nAnswer: 65331.9","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 2\/31, -3\/170, 2\/11 in decreasing order.\nAnswer: 1, 2\/11, 2\/31, -3\/170, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/(-130))\/(646\/(-340))?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -863*s - 868*s = 1171*s + 1417*s + 228907 for s.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 183 = -a - 30, -y + 5*a + 67 = 0. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*a + 55916 = 31*a + 87236 for a.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2.65, 2\/11, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 13*a**2 - 22*a - 66. Calculate j(-1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 - 6aa?\nAnswer: -697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 585732 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 619.1205 centuries to months.\nAnswer: 742944.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*v**(-2\/3))*v*v**5*v*v*(v\/(v\/(v*v*v\/v**(-1))*v)*v)**(1\/11)*(((v*(v\/(v**0\/v))\/v*v)\/v)**(-28))**24 assuming v is positive.\nAnswer: v**(-44054\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 u when four letters picked without replacement from {u: 2, b: 3}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1493827633*u**2 - 1493827631*u**2 + 2987655262*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-3 - -5 - -19)\/(3\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 607, -1, 4 in ascending order.\nAnswer: -2, -1, 4, 607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 354 + -452 + (2 + -3 - (0 + 11))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 2*-1 + 2. Let l(s) be the first derivative of 1\/2*s**2 - 7 + s. Determine l(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.939 <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 8783428 and 8783431 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -320476\/3 + 1330333\/12. Let q = h - 4056. Find the common denominator of q and -5\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 48659, 194645, 437955, 778589, 1216547, 1751829, 2384435?\n\"Answer: 48662*t**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136427567, -136427568, -136427569?\nAnswer: -136427570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 356507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) -292 (c) 2 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 12:27 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 11*a - 4. Let y(k) = -13*k + 5. Let l(o) = -5*r(o) - 4*y(o). Let h(f) = -3*f**2 - f. Calculate h(l(u)).\nAnswer: -27*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*l - 3 = 0, -2*v + 3*v - 4*l + 11 = 0. Suppose -3*g = -v*p - 31, -2*g - g = p - 1. Solve 14 = k + 3*y, -4*k = -4*y - 6 - g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6962 and 166.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**3\/3 - o**2 - 2*o - 60. Is x(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (14 - 0)) + (-6 - -12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11667171.\nAnswer: 3, 199, 19543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 106449523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -47*c**2\/2 + 2. Let z(k) be the second derivative of 0 + 1\/12*k**4 - 37*k + 0*k**2 + 0*k**3. Give z(l(y)).\nAnswer: 2209*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**2 - 50900*p + 101820 = 0. What is p?\nAnswer: -10182, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -s + 48, 77 = 4*s - 6*l + 3*l. Calculate the greatest common divisor of s and 943.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6227 (base 11) to base 4.\nAnswer: 2001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83 + -81. Let p(y) = -2*y**2 + 50*y - 338. Let n(l) = -10*l**2 + 249*l - 1690. Let f(j) = a*n(j) - 11*p(j). Factor f(x).\nAnswer: 2*(x - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, -7, 0 in descending order.\nAnswer: 0, -7, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.86136 to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3563346303 rounded to the nearest 100000?\nAnswer: -3563300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -v + 17 + 22, 30 = -3*k + v. Let b(i) = 3*i - 5. Let d(s) = s - 1. Let f(p) = k*d(p) + 2*b(p). Let t be f(-1). Solve 5*g - t*g - 12 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 j when three letters picked without replacement from {q: 5, j: 5}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 6*i**2 - 12*i + 2. Let m be j(-6). Let l = m + -271. Calculate the common denominator of 71\/52 and l.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, -0.2, -0.3 in increasing order.\nAnswer: -38, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/48 and 2 - (283\/42 + 17\/51).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -556094, -1112180, -1668230, -2224244?\n\"Answer: 18*q**2 - 556140*q + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 9*s**2 - 13. Let k(q) = 4*q**2 - 6. Let b(j) = 13*k(j) - 6*x(j). Let v(c) = c**2 - 19. Determine b(v(t)).\nAnswer: -2*t**4 + 76*t**2 - 722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-30))\/((1504\/6)\/(-8)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -19. Let h = a - -29. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/109604, 0, 4 in descending order.\nAnswer: 4, 0, -1\/109604, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2. Let m(u) = 2*u**2 + 4*u. Suppose 20 = 4*o - 0*o. Let g(f) = -2*f**2 - 5*f. Let y(a) = o*m(a) + 4*g(a). Give y(i(p)).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4)*3\/(-6). Let n = -11243 + 11237. Sort n, -5, a in descending order.\nAnswer: a, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271.6816l to millilitres.\nAnswer: 271681.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-68 + 3*w - 55 + 102)*(13 - 21 + 41) to the form a*w + b and give a.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1486464 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14707034996571*w - 14707034996571*w - w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 7 = -5*w - 1, 0 = -5*w + 3*g - 29. Let a be w\/(1 + -5)*(-10 - 0). Calculate the common denominator of (-61)\/(-546) + (40\/6)\/a and -107\/20.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1794632.\nAnswer: 2, 7, 73, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2704507.8 - -2637375.873. Let z = v + 67084. Let p = -48 - z. Round p to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305828 is divided by 67?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -29*g - 2349. Let u be t(-81). Suppose 0 = a - 4*a + 30. Solve a*v + 3 - 23 = u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 95, -3, 5, -2, 105 in descending order.\nAnswer: 105, 95, 5, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 6. Suppose -5*b + b + 276 = 0. Calculate the remainder when b is divided by -2*(-7)\/(-2 + p).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3073 - 924. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**3 - 5*y + 1\/4*y**4 + 27 + 2*y**2. Let k be a(2). Put -3, k, -5 in increasing order.\nAnswer: -5, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-6))\/((-6)\/(-54)). Solve -3*s + k - 7 = s, c*s = -k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -376 - -371. Let s(i) = -i**3 + 6*i**2 - 4*i + 12. Is s(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27691*h**3 - 4*h**2 - 3*h + 909?\nAnswer: 166146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/60)\/(13\/((-5850)\/(-480))*2\/(-8))?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2243*g**4 + 7*g**3*q - 2*g**2*q - 1071*g**2 - 18*g*q + 2*g wrt g?\nAnswer: -53832*g + 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + a - 10, 3*a - 19 = z - a. Let c be ((1 - 2)*1)\/z. Is 0.4 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3442, 14286, 32374, 57718, 90330, 130222, 177406?\n\"Answer: 2*p**3 + 3610*p**2 - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -11*i**2 - i - 1. Let o be t(-1). Suppose -2*k + 4*s + 25 = -5*k, 5*s + 32 = -4*k. Let z = k - o. Let q(f) = f**2 - 8*f + 3. Give q(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*q = -138, 9*u - 4*u - 5*q = 180. Suppose -4*k + u - 5 = 0. Does 10 divide (k\/(-2))\/(6\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 5)*(2*x**4 - 2*x**4 - x**4) - 3*x**4 + 4*x**4 + 0*x**4.\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -22101222121220111?\nAnswer: -22101222121220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 13) to base 12\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6320\/948 + (-190)\/6.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1268499?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 622827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 131 (b) -2\/3 (c) -5 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29 - -2?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25233?\nAnswer: 3, 13, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -17\/6*z**3 + 1\/5*z**5 + 3\/2*z**2 + 0 - 17*z + 1\/6*z**4. Find the second derivative of s(c) wrt c.\nAnswer: 24*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**6\/12 - 2*k**5\/5 - k**4\/2 + k**3\/3 + 5*k**2\/4 + k + 85. Factor g(m).\nAnswer: -(m - 1)*(m + 1)**3*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*l - 23 = -5*u, 2*u + 3*l + 9 = 0. Solve -20 = 5*p - 4*t - t, -2 = -u*p - 4*t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5 - i**2 - i**2 - 306*i**3 + 11.\nAnswer: -306*i**3 - 2*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5010857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.94014l in millilitres?\nAnswer: 66940.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 1217, 0.09?\nAnswer: 1217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4\/15 - 26*m**3\/15 - 106*m**2\/15 - 166*m\/15 - 28\/5 = 0. Calculate m.\nAnswer: -7, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-70))\/((27\/(-3))\/90)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a - 2*a + 4*a)*((5*a - 2 + 2)*(4*a - 2*a + 0*a) + 2*a**2 - a**2 - 2*a**2)*(4*a + 0 + 0) to the form f*a + p*a**3 + g + b*a**2 + y*a**4 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4050) - 1*sqrt(4050)*-2)\/(-3*(sqrt(640) + sqrt(640)*2))*4.\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 2) + 18 + -3 + 2. Suppose -q + 5*q - b = 0. Let o = 24 + -8. Sort o, -5, -2, q in decreasing order.\nAnswer: o, q, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1 = -0*g + 3*i, 5*g + 4*i = 37. Suppose q - 3*p - 40 = 0, -g - 101 = -3*q - 5*p. Let f = -19 + q. Calculate the remainder when f is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91066 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8897266*q**2 + 8300928 wrt q?\nAnswer: 17794532*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 450.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 8795.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = g + 5*v, -3*v = -7*g + 6*g + 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 42*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 389811 and 3378362.\nAnswer: 10135086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41\/204249 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1718.098 plus -16.88657?\nAnswer: 1701.21143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 1. Let u be r(-1). Suppose u = -7*w + 2*w. Which is greater: w or -2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in decades?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96 + 177. Suppose 2*y = -d + 59, s = -y + 4*y - d. What is the remainder when y is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-195)\/(-13) + 12 - 6. Solve -6 = -b*v + 18*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 10:47 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g - 1301194 + 451531 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 251929.74420006 - 251874.7442. Let r = 55 - x. Round r to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 269*u**3 + 13*u**2 - 26*u + 10. Let w be g(7). Let d = -297268 - w. Round d to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 18\/8 - 150\/280.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 143\/(-22) + 4315\/510. Is 3 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 64*b**2 + 1. Let r(v) be the second derivative of -2*v**3\/3 + 377*v. What is h(r(f))?\nAnswer: 1024*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 70 + -4?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(20)\/sqrt(5) + sqrt(4))\/sqrt(2))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5621, -11244, -16867?\n\"Answer: -5623*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 820364 to the power of 1\/2, to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w. Let m(c) = 20644*c. Calculate m(k(q)).\nAnswer: -20644*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 0. What are the prime factors of (2 - -9)\/(2\/z)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/19)\/i)\/i*i*i)**(-3\/17)*(i*i**(-1\/2))\/((i\/i**(-15))\/i) assuming i is positive.\nAnswer: i**(-9373\/646)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 12. Which is the fourth biggest value? (a) -3 (b) -1\/7 (c) v (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -81 - -4?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1910)\/(-764) - (92033\/(-2) + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 72*f = 1404 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o + 186*o + 98*o - o**3.\nAnswer: -o**3 + 277*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -166459 or -166455?\nAnswer: -166455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -251 + 249. Which is the second biggest value? (a) 0.4 (b) k (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 3.3. Let i be (-9)\/2 + 3\/(-3 - -4). What is the third smallest value in n, -5, i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**6\/6 - i**5\/5 - 3*i**4\/4 + i**3\/3 + i**2 - 131. Solve y(j) = 0 for j.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(-2 - (0 + -4)). Let z be l - -1 - 531\/207 - -6. Which is smaller: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -23. Suppose o - w + 6 = 0. Calculate the common denominator of 59\/3 and o - -7 - (-1)\/((-132)\/464).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 65 + 7)*(-6*q**3 + q**3 + 2*q**3) + (3*q - 7*q + 2*q)*(3*q - 3*q - 2*q**2).\nAnswer: -191*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126a (base 13) to base 12.\nAnswer: -1627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4*12\/15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, l: 1, t: 3, o: 6}. Give prob of sequence zo.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-224)\/(-6)*12822\/104713\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -834 (b) 0.2 (c) -4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -1)\/(4\/(-4)). Suppose -4*g + 34 = 5*h, -2*h = -g - f*h + 2. Solve o = -o - g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*q**2 + 6*q + 0*q**2 + 29*q**2 + 5*q**2 + 4*q**2 + 11*q**3 to l*q + k + m*q**2 + f*q**3 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**2 - 4*r**4 + 2*r**4 + 0*r - 2*r - 4*r**3 + 4*r to the form k*r**2 + s + j*r**3 + h*r + o*r**4 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 131811139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.3298.\nAnswer: -0.13192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -415 (base 7) in base 9?\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -635257 divided by 5\nAnswer: -635257\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96902 + -63100. What are the prime factors of w?\nAnswer: 2, 16901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3080 and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*n + 1112*n + 930*n + 37*n in the form w*n + i and give w.\nAnswer: 2102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2825.97 + -2826. Put 24, h, 4, 1 in descending order.\nAnswer: 24, 4, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 5\/3, -89, 3.9, 674?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -1. Let c be 32\/24*6\/l. Solve 0 = -0*u + c*u - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + ((-1)\/(-1))\/((-49)\/539)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63248 and 56012.\nAnswer: 13218832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1230 by -30.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 104, -386 in ascending order.\nAnswer: -386, 5, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*x - 44957 - 7725 = 15*x - 866*x for x.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -724919*o**4 - 647*o + 494 wrt o.\nAnswer: -8699028*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-18)*c*c*c*c**(-19))\/(c\/(c\/(c**(-1\/4)\/c))*(c*c**(1\/6))\/c) assuming c is positive.\nAnswer: c**(49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1120408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f**3 - f**2. Let z be c(1). Let -16*y**2 - 9*y**2 + z*y**3 - 23*y + 43*y = 0. What is y?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (16 - -4) + -32?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -646.8 + 7.8. Let t = u - -635.89. Round t to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26 - 11?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 134, 357, 688, 1127, 1674, 2329, 3092?\n\"Answer: 54*t**2 + 61*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u - 8*u - 10. Suppose -z = 5*j - 20, -2*z + u*j - 6*j + 13 = 0. Let m(g) = -9*g - 33. Let c be m(-4). Solve -c*h - 10 - z = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 485255 divided by 2623.\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134698 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59.8 - -58.8. Which is the closest to 2? (a) 2\/9 (b) -5 (c) r (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w - 2. Let a be z(-3). Let v = a + -12. Sort v, -5, 3 in descending order.\nAnswer: 3, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 6 (c) -0.48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -34, -3\/43, -0.09, 18, 0.3?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(180) + -1)*-1)**2 + -4 + (sqrt(35) - (sqrt(560)*1 - sqrt(35)))\/(1*(sqrt(7) + sqrt(7)*1 + sqrt(7)))*6.\nAnswer: -52*sqrt(5) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 190*t + 186*t + 304654, -761671 = -5*b - t. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 113 - 84. Suppose z*v - 19 = 28*v. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**22*w**(-2\/57)\/w)**46)**(-25\/2) assuming w is positive.\nAnswer: w**(-687125\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2533923*j**4 + 2321*j**2 - 7*j - 6 wrt j.\nAnswer: 60814152*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**3\/7 + 36126*y**2\/7 - 37923600*y\/7 + 10262615000\/7 = 0.\nAnswer: 550, 16963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 4*v = 0. Suppose x = -v*x + 2. Put x, -5, 5 in increasing order.\nAnswer: -5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2490, 4984, 7482, 9984?\nAnswer: 12490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 5:09 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -27671 (base 9) in base 15?\nAnswer: -586a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 2*k - g, -6*k + 4*g = -k - 193. Suppose 2*c = 3*a - 366, -2*c = 5*a - 4*a - 114. Let n = a + k. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1894, 5917, 12114, 20491, 31054?\nAnswer: 43809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1678\/3 - 560. What is the closest to -0.1 in q, -1\/6, -0.5, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + l - 1. Suppose 14*g - 12*g = -2. Calculate the smallest common multiple of w(3) and 10*((-4)\/8 - g).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 27*o - 189. Calculate k(11).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -5.232.\nAnswer: 1.0464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352556?\nAnswer: 2, 53, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.70336775 rounded to three decimal places?\nAnswer: -2.703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310846 is divided by 141.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*a + 52*a - 1029 = -3044 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8778405 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5 = -d, -2*o = -5*d - 7*o - 5. Suppose d = 3*x + 3, -p - 3*x - 11 = 2*x. Is p equal to -27\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/2 (b) -2 (c) -56 (d) -5 (e) -49 (f) 12\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/5)\/(5\/25). Let m be 3\/t*12\/(-9). What is the units digit of 7 - m - 0\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121159 and 4896.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, -2, 1\/6, -587?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 20 = 0, 2*l - z = -0*z + 61. Let f = l + -18. Let y = 38 - f. Calculate the remainder when y is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*1 - sqrt(171))*3 + sqrt(171) + (sqrt(171) - 2*sqrt(171))*-5)\/(sqrt(81)\/(-5*sqrt(36))).\nAnswer: -60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-3)*(-195)\/10 + 1. Let u be (-126 + f)\/(1*2\/6). What is u rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 65.8186 grams?\nAnswer: 65818600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -165*u**3 - 3*u**2*z**2 - u*z**2 - u + 51*z**2 wrt u.\nAnswer: -990*u - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -637.778483 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 - 152*w**2 + 2308*w + 177. Calculate o(55).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 224.8 + -235.2. What is u rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/3*v + 2\/9*v**2 + 2 = 0. Calculate v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5\/9 - 20*h**4\/9.\nAnswer: h**4*(h - 20)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/62212 and -61\/31106.\nAnswer: 62212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6259353 and -4?\nAnswer: -2.5037412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 8*o - 5. Let j(d) = -d**2 - 7*d + 3. Let r be j(-7). Suppose 12 = z - r*z. Is n(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**4\/10 - 3171*c**3\/5 - 2538*c**2 - 12692*c\/5 = 0.\nAnswer: -2, 0, 6346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(1\/4)*s)*s*s*s\/s**2)\/((s\/s**(-3))\/s**(1\/4))*s**(-1\/7)*s**(-5)*s*s**(2\/7)*s\/(s**(-5)*s) assuming s is positive.\nAnswer: s**(-13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 6)*(-2 + 2*a + 2)*(-2*a + 3*a + 4*a) to c*a + n + y*a**2 and give y.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -911 = 83*s - 164 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(3\/(-4))\/(40\/(-4) - 3654\/(-360))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 4*p - 2. Let y = -69 - -9. Let b = y + 102. Let s be b\/(-9) - (-9)\/(-27). Calculate v(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2224707290 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 + 16. Let t = -10 - b. Let v(i) = -4*i**2 - t*i**2 + 2*i**2. Let o(s) = -2*s. What is v(o(z))?\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 15*h**2 - 11*h - 17. Let l(f) = 8*f**2 - 9. Let z(s) = 2*l(s) - u(s). Determine z(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 10240 (b) 7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -479*u + 474*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**2 + 4*v**3 - 3*v**2 + 0 - 3*v**3 + 3 as q*v**3 + l*v + z + u*v**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -37*h**2\/2 + 3*h - 4. Let z be d(-2). Suppose -k = -13 - z. Is k a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c - 11*c**2 + 9*c**2 - 11*c as a + l*c**2 + z*c and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*p**3\/4 + 7778305*p**2 - 11524194456137*p\/4 - 548771305681\/2.\nAnswer: -(p - 740791)**2*(21*p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -842169.\nAnswer: -2\/842169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1926458891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(-1*sqrt(704) - sqrt(704)).\nAnswer: -sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 2*g + 2\/3*g**3 + 123 - 2*g**2. Factor p(c).\nAnswer: 2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(18\/15)\/(((-64)\/(-90))\/4)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72*r**4 - 774*r**3 + 807*r**2 + 38*r + 1?\nAnswer: -1728*r - 4644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*r - 208*r - 60*r)*(5*r**3 - 5*r**3 - 4*r**3).\nAnswer: 1376*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 813872851 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 729189 a multiple of 239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**3 + 2*k**2 + 4*k. Let z = -11 - -14. Suppose -4 = 4*m + 5*t, m - 11 = 5*t + 13. Let s(u) = 2*u**3 - u**2 - 3*u. Determine m*s(v) + z*n(v).\nAnswer: -v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4607 - -6779. Calculate the highest common divisor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -3 - 1)\/(39\/(-78)). Let i be 4\/8*-15*n\/3. Solve 2*x + 3*m + 10 = 6*m, 0 = -i*x - 3*m - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125171 minus 0?\nAnswer: -125171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -215799035 divided by 5\nAnswer: -43159807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1025 - 815.5. Let z = -153 + w. Let t = -56 + z. Sort -0.1, 3.6, t in decreasing order.\nAnswer: 3.6, t, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04886 to three decimal places.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1054747?\nAnswer: -5\/1054747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 1 + 13, 3*a + 5*q = -5. Let t be 26\/a + 4\/(-20). Differentiate 2*c**2 - t - 2*c + 2*c with respect to c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.0976 (b) -1\/6 (c) -1\/3 (d) 0.1 (e) -484 (f) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75 + -45. Let f = t - 18. What is the remainder when 34 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -6*i**3 - 184*i**2 + 71*i + 283. Let c be l(-31). Find f such that -30\/11*f - 14\/11*f**c - 4\/11*f**2 + 28\/11*f**3 + 2\/11*f**5 + 18\/11 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/30 + 5\/(-42).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.1 - 1.84. What is i rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)\/o)**(-23\/2)*o*o\/(o*o**(2\/3))*(o\/o**0)\/o assuming o is positive.\nAnswer: o**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s**2 - 308. What is the units digit of q(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/40*(-15)\/(-6)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-3))\/(1\/(-15)). Is (-3 - n\/2)*-98 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/20 + 114\/15. Let p be 4*(-4)\/s - 1*-10. Solve 4*q + 8 = -p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 v when two letters picked without replacement from ljjojxv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g**2 - 3*g + 16. Let b(l) = -4*l**2 + 4*l - 12. Let s(y) = -4*b(y) - 3*k(y). Let f(i) = 3 + i**2 - 3 - 3*i. What is -7*f(n) + 3*s(n)?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*v + 38 - 38)*(3*v - 3*v + v) + (-145*v - 954 + 954)*(-3 + 3 - 2*v).\nAnswer: 300*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -131*i - 1\/12*i**4 + 2*i**2 + 4\/3*i**3 + 0. Suppose 2*k - 32 = -2*k. Calculate y(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 1 + 5 = 0. Let m be p + 7\/((-364)\/(-664)). Let z = m + -16. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2111 + -573. Let d = f + -638. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84619333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**13*s**4*s assuming s is positive.\nAnswer: s**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -110, -2 in increasing order.\nAnswer: -110, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a centimeter in millimeters?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2. Let i(o) be the third derivative of 0*o - 5*o**2 + 0*o**4 - 1\/12*o**5 + 0*o**3 + 0. Give i(u(n)).\nAnswer: -20*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8843 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1\/8 (b) -2\/3 (c) 4 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 40*o - 267. Let z be u(31). What is the fourth biggest value in -5\/6, 0.3, -0.1, z?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320018681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**5 - 12092*m**4 + 30949*m + 1 wrt m.\nAnswer: -40*m**3 - 145104*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + j + 46 = -30, -p - 4*j + 32 = 0. Suppose 0 = -0*x - 4*x + 96. What is the greatest common factor of p and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 38 = -2*h, 4*h + 12 = h. Suppose -4*p = 5*j + 4, -3*j - p - 1 = -0*p. Factor -2*l**2 + j + s - 1 - 3.\nAnswer: -2*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 787476917?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 25931?\nAnswer: 25931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 703112 divided by 3928?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a - 2. Let j be v(-6). Let f = -2 - j. Let d(i) = 154*i**2 + 6*i - 4. Let q be d(f). What is q rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 + 48*i - 117.\nAnswer: -3*(i - 13)*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 365536 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -194 - 79. Let y = -180 - b. Let f = y + -77.4. Round f to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 21.5. Let k be (-1)\/(-2)*(17 - 23). Which is the second biggest value? (a) k (b) 0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 53, 67, 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9329890*w + 21531417 wrt w?\nAnswer: -9329890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-62813)\/115 - -1*(-4)\/5. Let t = 282 - l. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1024, -7357, -17978, -32941, -52300, -76109?\n\"Answer: -9*m**3 - 2090*m**2 + 1075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -96, 2 in descending order.\nAnswer: 11, 2, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*h + 55*h + 29505 = -20310. List the prime factors of h.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**3 - 2*b**2 + 1. Let j(k) = -k**3 + k**2 + k + 1. Determine -j(t) + o(t).\nAnswer: -2*t**3 - 3*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4143, 8254, 12313, 16296, 20179, 23938, 27549, 30988?\n\"Answer: -4*y**3 - 2*y**2 + 4145*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 5:08 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c**3 - 18*c**2 + 3*c + 9. Give g(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -191 - 0.5?\nAnswer: -191.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 0*l + l**2 + (0*l**2 - 4*l**2 + 3*l**2)*(-1 - 3 + 2) + (8 + 2 - 5)*(-2*l**2 + 0*l**2 - 3*l**2).\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l - 4*q + 13 = -9*l, -5*l + 5*q + 40 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 602 and 26319139?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100220122 (base 3) in base 13?\nAnswer: 18290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*d - 19*d - 1 + 1 + 122*d - 56*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/38 and (4\/6 - -6)*76\/96?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 8*y**2 - 8*y - 15. Calculate the remainder when 57 - -2*(-3)\/(-6) is divided by j(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91205170.\nAnswer: 2, 5, 7, 17, 10949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/4))**(1\/3) assuming j is positive.\nAnswer: j**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -280*x - 632*x - 191*x + 3 - 701*x - 993*x + (-2 + 2 + 1)*(-6 - 2*x + 6) as l + s*x and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 25. Suppose g*s - 4*b = -2*b + 16, -10 = -5*s - 5*b. Suppose -s*n + 27 = -9. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 2\/9 (c) -44\/13 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89375.53986 rounded to the nearest integer?\nAnswer: 89376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -5, 0.01016, 0.01?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-6)*z**4*(z**1*z)**(-1\/16)*((z\/(z*z\/(((z\/z**(1\/4))\/z)\/z*z)))\/z)**(32\/7)\/(z**(-3\/2)\/z**5) assuming z is positive.\nAnswer: z**(-331\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46964794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.032 - 19.968. Let j = 22 + d. Put -0.4, 1, j, -1 in increasing order.\nAnswer: -1, -0.4, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 497 and -1.7008.\nAnswer: 495.2992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 624 < 531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13419 or 4583?\nAnswer: 13419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2563 + 4064. What are the prime factors of t?\nAnswer: 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65015, 259045, 582439, 1035203, 1617343, 2328865?\nAnswer: 3169775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 11. Let a be (-28)\/49*14\/j. Let -20*h - 3*h**3 - 4*h**a + 32*h - 14*h + h**3 = 0. Calculate h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4753350 and 2683800.\nAnswer: 9450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -54, -32, -10?\n\"Answer: 22*i - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16515238 divided by 28183?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/5 - (-4)\/10. Let q(j) = 3*j**2 + 3*j + 4. Let o be q(4). Suppose 5*d + c*u - u = 177, -o = -2*d - 3*u. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**3 + 55 - h**2 + 52 + h - 106 to the form f*h + u + d*h**2 + k*h**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3741057849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**7\/5040 - w**6\/720 - 5*w**4\/24 + 4*w**2. Let a(t) be the second derivative of d(t). Suppose a(s) = 0. What is s?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107553 is divided by 333.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100110100 + -1110010011010?\nAnswer: -1010101100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from oouuuojooj.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2272 (b) -2 (c) -1 (d) 2\/17 (e) 11\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -0*w + w - 3*n, -n + 1 = 0. Let i be w\/(-38) + (-47866)\/(-133). Suppose -5*h + i = -h. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) 2\/5 (c) 308\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -440166790, -440166789, -440166788, -440166787, -440166786?\nAnswer: -440166785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 236 divide 621018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 5.76?\nAnswer: 5.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 349110, 1398100, 3146418, 5594064?\nAnswer: 8741038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 375 and 22350?\nAnswer: 111750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 34826868.1268.\nAnswer: 34826872.1268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17\/2 - 7. Let y(j) be the second derivative of a*j**2 + 0*j**3 - 5*j + 0 - 1\/3*j**4. What is the derivative of y(f) wrt f?\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 91855*v**2 + 62*v + 307291339.\nAnswer: 183710*v + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42 and -59\/1737387?\nAnswer: 1737387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3127498 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3900*b - 1493. Is j(-41) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g - 2 + 2 + 2*g - 3*g + 2*g + (5 - 2 - 1)*(-2*g + 0*g + 4*g) + 3*g + 3*g - 5*g - 2 + 2 - g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 7, y: 6}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -11827, 102, -3, 0.05 in ascending order.\nAnswer: -11827, -3, 0.05, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35631 - -35629. What are the prime factors of t?\nAnswer: 2, 5, 7, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 0. Let u = c - -7. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/8*-2*(-3)\/6. Solve 0 = -k - 0*k - y*z + 1, -4*k = -z - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 772*y. Let x(n) = 33633*n**2. Determine l(x(k)).\nAnswer: 25964676*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 32 (c) -1 (d) 0.4 (e) -0.82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 12*s + 0 + 77 + 9 = -2, 5*x - 10 = -5*s for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/84)\/(5*18\/(-210))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**5\/20 - 2*j**4\/3 + 3*j**3 - 27*j. Find the second derivative of h(f) wrt f.\nAnswer: 6*f - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8438*a + 1843*a + 2879*a + 2803*a.\nAnswer: -913*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/d**(-1))\/d)**(-12\/19))**(24\/5) assuming d is positive.\nAnswer: d**(-576\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**4\/3 + 76*j**3\/3 - 2152*j**2\/3 + 10304*j\/3 - 4224 = 0.\nAnswer: -36, 2, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 101726, 101762, 101842, 101984, 102206, 102526?\n\"Answer: 3*x**3 + 4*x**2 + 3*x + 101716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*l - 826*l + 296*l + 182*l + 158*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/7)\/(185\/(-259)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -2\/15, 0.5, 2\/49, -60 in increasing order.\nAnswer: -60, -5, -2\/15, 2\/49, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((176\/(-6))\/(-4))\/(-1*22\/33).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -2, 779412 in decreasing order.\nAnswer: 779412, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 6*c - 22. What is j(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 5927151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176, -284, -420, -680, -1160?\nAnswer: -1956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w**(5\/6)*w)))\/(w*w*(w*w**(-1\/63)*w)\/w) assuming w is positive.\nAnswer: w**(-19\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -0.05?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 263267663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*2)\/sqrt(3))\/(sqrt(80)\/(sqrt(40) - sqrt(10))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n + 5. Let z(o) be the first derivative of -o**3\/3 - 74. Determine t(z(s)).\nAnswer: -2*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -x - 3, 124*f - 5*x - 6 = 123*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1736 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 7290.\nAnswer: 7290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -2\/9 (b) 19.43 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 times -0.12\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-7) + (-810)\/(-42). Let t = -6 + r. Calculate the remainder when 63 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010 + 101110010?\nAnswer: 101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sag when three letters picked without replacement from {a: 10, g: 2, s: 2}?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*y - 13, 3*y + 1 - 4 = 0. Let o = 12 + -6. Suppose -o = -14*n + 8*n. Solve r*u = -n + 21 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 51976*d - 168844036.\nAnswer: -4*(d + 6497)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 0 (c) 0.5 (d) -147\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -332177 (base 16) to base 5\nAnswer: -1324212103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y. Let q(c) = -26400*c**2 - 2*c - 2. Give w(q(r)).\nAnswer: -52800*r**2 - 4*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 5*v**2 + 15*v + 10. Let z be r(-7). Let y = -4.23 - -4.53. Which is the nearest to 3? (a) y (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101072*p - 171282*p - 236742*p - 65180*p.\nAnswer: -372132*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 178 + -203 - (-30 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -33*s + 6. Let j(h) = -65*h + 11. Let t(a) = -3*j(a) + 5*o(a). What is the units digit of t(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iisssbi. Give prob of picking 2 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 73450.58 years in months?\nAnswer: 881406.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-35))**(-1\/26) assuming i is positive.\nAnswer: i**(35\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 384614, 1538494, 3461628, 6154010, 9615634, 13846494, 18846584?\n\"Answer: -i**3 + 384633*i**2 - 12*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 1, -d = 3*j + 2 + 9. Sort 1, j, -6, 0 in ascending order.\nAnswer: -6, j, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2\/8 - 18909*t\/8 + 94295\/4.\nAnswer: (t - 10)*(5*t - 18859)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/11 + (-165)\/(-242))*974. Let p = -103 + v. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 = -25*t - 47 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 15 = 7*x, -3*x + 9 = -4*u. Suppose -61*k + 75*k - 56686 = u. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2 + sqrt(605)*1 + -3)*-1*-2)**2.\nAnswer: -12120 + 440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - m + 13 = 2*u - 7*u, -4*u - 73*m + 328 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82291612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 284 + 376 + 138*j - 136*j + 901.\nAnswer: 2*j + 1630","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -1, -57\/4, -0.01?\nAnswer: -57\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = 826 + 824. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 324221212 (base 5) to base 15\nAnswer: 1c94a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 538752.49 - 484249.9?\nAnswer: 54502.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4074 = 2*u + 4*n, -3*n = 3*u - 6126. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1153*y**3 + 1305*y**3 - 2462*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 4*w**2 - 151*w - 560. Calculate j(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 8*q**2 - q + 7. What is the remainder when 73 is divided by f(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o - 48 = 8*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2))\/(1\/2). Suppose -3*y + 4*g - 4 = 0, 5*g + 4 = y - 2. Sort y, h, -5.\nAnswer: -5, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t\/t**(2\/17))\/t*t)\/t)\/t**(-1\/10))**(-3\/5)\/(t**4\/t*t*t*t*t**(-7))**(-18\/11) assuming t is positive.\nAnswer: t**(-20811\/9350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2145)\/66)\/(-65)*(-20)\/65?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 111, 90, 47, -24, -129, -274?\n\"Answer: -c**3 - 5*c**2 + c + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 + 29*c**3 + 159*c**2 - 189*c.\nAnswer: c*(c - 1)*(c + 9)*(c + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 386, 365, 344, 323?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -658 + 602. Let w = -161 + 216.8. Let b = a + w. What is the second biggest value in 1\/3, -0.1, -0.01, b?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-14)\/r)\/r**12*r\/(r*r**9*r)*r**5)**44 assuming r is positive.\nAnswer: r**(-1408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**5 - l**2 + l**2 + (l - l - l**5)*(-2 + 2 - 1) + 5 - 5 + 2*l**5 + (-2*l**4 + 6*l**4 - 2*l**4)*(6 + 4*l - 6).\nAnswer: 12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 - 3*s + 3*s)*(0 - 2 + 1) + (-3*s**2 + s**2 + 9*s**2)*(-2 + 0 + 4)*(0*s + 2*s + 0*s) + (0 - 5 + 3)*(s**2 - s**2 + 13*s**3).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3833, 19, 4 in decreasing order.\nAnswer: 19, 4, -10, -3833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*c = -22 - 2, 0 = g - 5*c + 16. Solve 15 = -i + g*i, -t - 3*i = -10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/32 and -187\/120?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4900, -9848, -14816, -19810, -24836, -29900?\n\"Answer: -p**3 - 4*p**2 - 4929*p + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/4005 and 97\/495?\nAnswer: 44055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 3*z + 65. Let r be d(6). Suppose 0 = -18*a + 83 - r. Solve 0 = v + a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 32*l**5 + 3*l**4\/4 + 749*l**3\/3 - 506. Find the third derivative of s(k) wrt k.\nAnswer: 3840*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*m + 2*m + 16*m)*(-146 - 128 + 41 + 61) in the form r*m + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19461420857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-29)*c**(-20)\/c assuming c is positive.\nAnswer: c**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-2)\/3)*(-10)\/15. What is the units digit of (c - 1) + 547 + 3 + -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2. Let a(d) be the third derivative of 0*d - 1\/15*d**5 + 9*d**2 + 0 + 0*d**3 + 0*d**4. What is k(a(n))?\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4549002215 rounded to the nearest one million?\nAnswer: -4549000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 13*l**2 - 6*l - 42. Let h be k(13). Let i be (-5)\/h*8*9. Solve -4*d - i*c = 11, 3*d + 9 = -c - 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5220*(-372)\/100440)\/(3\/(54\/(-4)))\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ene when three letters picked without replacement from {n: 1, a: 1, e: 5, r: 2, v: 2, u: 2}?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4200 = -233. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2 + 7089*f + 3940448 = 0 for f.\nAnswer: -6481, -608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**3 + 229*n**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6*c**2 - 16 + 13*c**3 + 5*c - 12*c**3 + 3*c**2. Let j be h(-8). Suppose s + 245 = 3*u, -u - j*s = -3*s - 55. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -41764.\nAnswer: 41761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (154\/(-60) - 0) + -1. Let m = -12273 - -73663\/6. Let l = t + m. What is the third biggest value in -0.11, 3, l?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 13*l**2. Let b(r) = 2*r**2 - 1. Let k(t) = t**2 - 1. Let i(z) = b(z) - k(z). What is c(i(d))?\nAnswer: 13*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j + 3. Let k be i(-4). Let f = k - -8. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/3 - 16*p**2 - 734*p\/3 - 420.\nAnswer: 2*(p - 35)*(p + 2)*(p + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19817658?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 12 = 14. Which is smaller: v or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -47, -99, -153, -209?\n\"Answer: -u**2 - 49*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*q + 1)*(7 - 5 - 1)*(-3 - 6 + 3)*(-1 - 7 - 1) as l + g*q and give g.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 1:24 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 + 8 + 10*c + c**2 - 26*c. Suppose 4*g - 34 = 2*f + 7*g, -2*g - 60 = 4*f. Is 14 a factor of v(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 330 and 12202965.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w + 4865*w**2 - 4*w - 4868*w**2 - 35 + 2*w + 2.\nAnswer: -3*w**2 + w - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 8:26 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -170909.8 take away 87840491?\nAnswer: -88011400.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1175*o + 6*o**2 + 2 - 4*o**2 - 721*o**3 + 1175*o to z*o**3 + i*o + r*o**2 + t and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + -6 - 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -5*q - 36, 27*q - 23*q - 5*w = -9 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) -0.1 (c) 1\/4 (d) 95524\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19*1 + (-39105)\/(-110)*84\/1575?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.23 - 3.23. What is the closest to -0.1 in 0, -0.1, -22, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 924933.2 grams?\nAnswer: 924933200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**4*n - 1280865*m**3*n**2 - 2*m**2*n**2 + 10*m**2*n - 177304*m wrt m.\nAnswer: 24*m*n - 7685190*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k**2 + 2*k - 545 + 30*k**2 - 2*k + 496 - 17*k**2.\nAnswer: k**2 - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + u = -3, a + 3*u = 2 - 11 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 14*r**2 + 58*r + 8 = 0.\nAnswer: -4, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 0)*(39 - 39 + 3*j)*(3*j**2 - 2*j**2 + 2*j**2).\nAnswer: -45*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ziz when three letters picked without replacement from {z: 4, i: 1, u: 3, o: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 14\/(-16))\/(-3). Let x = -73 + 124. Let l = x + -51.3. Which is the closest to 0.7? (a) l (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 847*s + 6356. Determine a(-6).\nAnswer: 1274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**3 - 4*z**3 - 2 + 2.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -4, 2, -7, 4 in decreasing order.\nAnswer: 4, 2, -4, -7, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**5 + 1988*z**4 + 10*z**2 + 521*z.\nAnswer: -60*z**2 + 47712*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 343, 699, 1045, 1381, 1707, 2023, 2329?\nAnswer: 2625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.58, 193, -4.3 in descending order.\nAnswer: 193, 0.58, -4.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 75, 72, 67?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 3:19 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6\/7, 0, 4\/5, -417.\nAnswer: -417, 0, 4\/5, 6\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = -8*z + 6*z - 30, -5*s = 4*z + 24 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from yrzryypyrp.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -26. Suppose t*y = -2*q - q + 12, y + 6 = -3*q. What is the lowest common multiple of y and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14496\/60487 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12149*i - 4052*i = -6055*i - 84912 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66.496258 - 0.535.\nAnswer: -67.031258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49191 - 18178. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 61, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grrgsrglst. What is prob of sequence glls?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157 - 8*z + 166 - 119 - 204.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14815 + -9931. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**11\/p)*p)\/(p*p*(p*p\/(p**(-10\/9)*p*p))\/p)*(p**3)**(2\/15))**(-8\/11) assuming p is positive.\nAnswer: p**(3496\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3 - 1159615*y**2 + 11596075*y - 28990125 = 0. Calculate y.\nAnswer: 5, 1159605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + -29. What is the nearest to 0 in -4, -0.03, n?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8*h + 15 = 0. Suppose -z - 2*y + 24 = 2*y, 4*z + 4*y - 36 = 0. Suppose -4 + 10 = 2*o. Put z, o, h in decreasing order.\nAnswer: z, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + d - 6 = 2*d, -4*r - d = -9. Let v be (-2)\/(-2) + 2 + 4. Let w be (-28)\/(-6) - 2\/(-6). Solve -w*j = -4*p + 7, -r*p = -4*p + 3*j + v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 20 - 10*q + 9*q + 3*q**2 - q**2 - 3*q**2. Let l be t(0). Suppose l = -4*y + 5*y. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.16 + 0.75. Let p = 0.3 + -0.29. Let w = j + p. What is the smallest value in w, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38360.\nAnswer: 2, 5, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 21. Let s be l(-17). Suppose 4*h + 116 = 4*k, 3*h + 58 = 2*k - s. Let z = 3 - k. Is z != -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**0)\/t)**(1\/6)\/(t\/(t*t**1))**(-20) assuming t is positive.\nAnswer: t**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 3.5. Let f = -0.2 + 1.2. Which is the second biggest value? (a) i (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/7, -2, 349, -3, 22?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 + 1197*h**2 - 2382*h.\nAnswer: -3*h*(h - 397)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*j - 13863 = 0, -4*k + 15*j - 16*j - 11087 = 0. Let q be (3\/(-12)*2)\/(147\/k). Do q and 8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + 2. Let i(g) = -g**2 + 13. Let f be i(0). Let q be 37\/f + 6\/39. Calculate the remainder when w(q) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (48\/216 + 22).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5544980*d - 6957053 wrt d?\nAnswer: 5544980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5607.18 + -5562. Let s = 45 - k. Let f = 0.08 + s. Which is the third smallest value? (a) 4 (b) 5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*y**5 + 105456*y**4 - 763452*y**3 - 1631862*y**2 - 551679*y + 211302 = 0. Calculate y.\nAnswer: -3913, -1, 2\/9, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 10:29 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4) - 35\/28 - 16037\/(-15834).\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 27124.9 - -8\nAnswer: 27132.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 489487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*s - 20, -2*s + 0*s = 3*c. Calculate the remainder when ((-3370)\/(-2359))\/((-2)\/3*3\/(-56)) is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z - 6. Suppose 2 = 3*v - b - 15, 3*v = -3*b + 9. Suppose g = 4*p + 1, v*g - p - 53 = -5*p. Let u(d) = -6*d - 13. Calculate g*k(q) - 4*u(q).\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**2 + 9*t + 1. Is s(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + m, h - 2 = -5*m. What are the prime factors of h\/(-3) - 44\/(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 - 5*s**3 - 44*s**2 + 44*s**2.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 719628?\nAnswer: 2, 3, 7, 13, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1371.7822 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -314 - -3137. Let h = -2824.9968 + p. Let n = -2 - h. What is n rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 2:09 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 42.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 109707\/14 - 7840. Find the common denominator of 95\/6 and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/248747 + -176610404\/4228699. Which is smaller: y or -41?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 0. Let r be (-2)\/3 - (1 - 1). Let f = 61100 - 61104. Sort f, r, a in decreasing order.\nAnswer: a, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 14990?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 - 2*x**2 + x - 4. Let a(n) = 7*n**3 + 5*n**2 - 2*n + 11. Let p = 1551 + -1540. Calculate p*d(z) + 4*a(z).\nAnswer: 6*z**3 - 2*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 8)\/(440\/22 + -15)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1967775, 3935562, 5903349?\n\"Answer: 1967787*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**5\/60 - u**4\/4 + u**3\/3 - u**2. Suppose 28 + 2 = 5*v. What is the units digit of n(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -444 + 61 + 63*q + 51 - 135 - 503 wrt q.\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 71*u + 138.\nAnswer: (u + 2)*(u + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, b: 3, g: 1, i: 1, w: 4}. What is prob of sequence cb?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 99943.01 meters?\nAnswer: 99943010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 23 = 3. Suppose 0 = -b*j + 149 - 29. What is the highest common factor of 72 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -68, -125, -194, -269, -344, -413?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 0, -16 in decreasing order.\nAnswer: 3, 0, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -1)\/(9\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -13*g**6 + g**4\/3 - 2*g**3 - 274*g. What is the third derivative of p(s) wrt s?\nAnswer: -9360*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 399.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1290 - 774 - 1808 - 30*n**2 + 1292 + 2*n - 2*n.\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h**3 - 3*h + 3*h)*(-342*h - 252*h + 33*h) in the form x*h**3 + d*h + g*h**4 + p + o*h**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 5 (c) 1\/3 (d) 26 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8023095 and 106110?\nAnswer: 5895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.42 - 1.58. Let k = 178 + -175. Which is the closest to -1? (a) k (b) z (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 510?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*y = -72*y - 4238. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11244 is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*p - 3*s = -58*p + 66, 5*s + 69 = -2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -51*m**2 + m. Let c(l) = 4*l - 9. Determine c(h(j)).\nAnswer: -204*j**2 + 4*j - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 44*r - 187. Let x be a(48). Solve q + 4*l - l = 9, -11 = x*q + l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4103 a factor of 64581220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmjjjjjmjjmmj. What is prob of picking 3 j and 1 m?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 12 = 6. Suppose t + 16 = -x - t, 2*x - q*t + 39 = 0. Calculate the common denominator of ((-6)\/x)\/((-416)\/(-140) + -3) and -4\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h**2 - 50*h - 231. Determine d(-14).\nAnswer: -511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-231))\/(-25*(-5)\/375).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**(-1\/41) assuming k is positive.\nAnswer: k**(1\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 31*y**2 - 69 - 51*y**2 - 23*y + 344*y**2. Is q(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2963302?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.32 + 6.32. Let f = -17\/16 - -69\/80. What is the fourth biggest value in 0.1, r, 2\/13, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 37*w - 43*w. Let t = -10.4 + 11.4. Which is the smallest value? (a) w (b) 2\/43 (c) -3\/2 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (15 - 24) + -51 + -3 + -4 + 1\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 1. Suppose 5*y - 31 = -z. Is 82*(3 + y\/(-2)) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -8*j - 5. Let c(s) = -39*s - 26. Calculate -5*c(h) + 26*m(h).\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**3\/3 + 430*h**2\/3 - 26956*h\/3 + 520208\/3 = 0.\nAnswer: 41, 52, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 6*b + 3. Let i be d(6). Suppose -i*h = -37 + 4. Calculate the remainder when 42 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3262 - -4671. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**4 - a**2 - 29*a**2 - 26*a - 23 + 5*a + 14*a**2 + 18*a**2 - a**3 to w + g*a + m*a**2 + x*a**4 + i*a**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 135*v**2 + 37*v - 79. Is o(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l**3 - 5*l**2 - 3*l. Let b(m) = 8*m**3 - 9*m**2 - 5*m. Let x be (176\/(-2376) - 50\/54)\/((-1)\/3). What is x*b(w) - 5*a(w)?\nAnswer: 4*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 210*g**3 - 390*g**2 - 40*g + 73. What is y(2)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 284*p + 1. Let g(k) = 17*k. Give g(c(q)).\nAnswer: 4828*q + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26460256297 - -0.058?\nAnswer: 26460256297.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(108) + sqrt(108)*-1 + 1))**2 + 0 + 3.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/2)*v)**(2\/31)*((v\/(v\/(v\/v**(2\/5))))\/v)**28 assuming v is positive.\nAnswer: v**(-1721\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)*-2 + 3 + (-1*sqrt(200))**2 + 4.\nAnswer: -20*sqrt(2) + 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-2\/11)*x)\/x)\/x)**(-5\/7)*(x\/(x*x**(-12)*x))\/x*x**(1\/24))**(1\/38) assuming x is positive.\nAnswer: x**(20117\/70224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 426 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, n: 2, l: 10, e: 3, x: 2, a: 1}. What is prob of sequence dln?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 6*n + 7. Let i be w(5). Suppose b - 3 = -i*b. Suppose -y + 32 = b. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 11*z = -15*z - 1180, 5*k - 3*z - 1485 = 0. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 25, -7, -5.\nAnswer: -7, -5, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 7:19 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 33 + 9 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -15*o**4 - 3*o**3 + 15*o**2 - 15*o - 9. Let g(l) = 7*l**4 + l**3 - 7*l**2 + 7*l + 4. Let r(z) = 9*g(z) + 4*m(z). Factor r(b).\nAnswer: 3*b*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7620, 7879, 8298, 8871, 9592, 10455?\n\"Answer: -b**3 + 86*b**2 + 8*b + 7527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + b**4 - b + 16 - 2*b to k*b + l*b**4 + n + w*b**2 + g*b**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015836522 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5225602126 to the nearest integer?\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by -16.\nAnswer: -19\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 60\/25) + -1 + (-5 - -4).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.015 + -1.985. Which is the biggest value? (a) 0.2 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1896 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.026 - -4.126. Let p = -34.1 + w. Let s = p - -30.000094. Round s to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/1 + (-38 - 0). Let h = -26 - k. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - w + 13, 0*w - 33 = -3*h + 3*w. Suppose -h = 34*f - 37*f. Suppose f*l - 18 - 290 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39096 and 3936750?\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5.83 * 67187\nAnswer: 391700.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228131 - 813*r - 225*r - 65*r**4 + 461*r**2 + 211*r**3 - 229355 - r**5 = 0.\nAnswer: -68, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 78398b?\nAnswer: -783992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (0 + sqrt(13) - sqrt(13))) + 1 + 0 + sqrt(13) + -1.\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*w - 93 = 92, 4*w = 12. Solve 0 = -24*k - 38 - f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 5*a**2 + 4*a + 3. Let u be t(4). Let p = 3 + 2. Suppose 3*w - 2 = -3*y + w, -5*w + p = -y. Solve -2*q - u*q + 25 = y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-12)*52\/(-3))\/((31702\/33)\/(-131)).\nAnswer: -13\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a second in milliseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 0*z**2 - 5*z + 9 - 1\/6*z**3. Let h(d) be the first derivative of i(d). Determine h(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**3 - 61 + 0*k**3 + 175 - 54 - 60.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 0*m + 5*m**2 + 1\/8*m**4 + 1\/10*m**5 + 0 + 1\/40*m**6 + 0*m**3. Suppose w(y) = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 9)*(-b - 2*b + 2*b)*(-11*b + 1 + 18*b - 11*b).\nAnswer: 24*b**2 - 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -278 + 377. What is the lowest common multiple of a and 24?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -301 + 281. Let c be (-1)\/4*d + 3. Solve -2*r + 5*r - 21 = 5*k, 2*k - r = -c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5 - 55627*g**4 + 444967*g**3 - 834277*g**2 - 444968*g + 889904 = 0 for g.\nAnswer: -1, 1, 4, 55619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 36374*d - 254640. Give k(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -26.54. What is k rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -13 + 6)*(-18 + 10\/5*-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -149564541?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -123 and 0.098?\nAnswer: -12.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(-4 + 1 + 2)*(2*i + 5*i - 3*i).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 947674 a multiple of 254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*(sqrt(540) - (sqrt(540) + (sqrt(540) - 6*sqrt(540)*3 - sqrt(540))) - sqrt(540))\/(1*sqrt(12)*2).\nAnswer: 510*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -10 + 4*b + 25 - 3*b - 5. Let v be z(-8). Suppose -5*o = -2*j - 19, -j + 7 = 5*o - 2*o. Solve -40 = -o*r - 5*m, v*r - 5*m + 14 = -1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**2. Let g be o(-4). Let x = -41 + 70. Calculate the remainder when x is divided by (-1)\/(0\/(-2) + (-8)\/g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/13)*u**4)\/((u*u**0)\/u)**(-18))\/(((u*u**(-2\/7))\/u)**(-6\/11))**(-36\/5) assuming u is positive.\nAnswer: u**(24866\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 161866\/45 + -3597. Let q(z) be the third derivative of -x*z**5 + 1\/360*z**6 + 0*z - 1\/9*z**3 + 0 + 5\/72*z**4 + z**2. Find l such that q(l) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80779306 is divided by 61?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2 = 0, -3*l = 4*z - 6 + 28. Let d = 14 + l. Let k = 0 + d. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*c + 18, -2*c + 6*y = 2*y. Let u = c + -6. Let v be 1\/2 + 1\/u. Solve -n = -v*n + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*g**5 - 331*g**3 + 2104*g**2 + 157?\nAnswer: -480*g**2 - 1986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*h - 29*h - 3*h**2 + h**2)*(0 - h**2 + 0 + (h**2 + 2*h**2 - 4*h**2)*(0 + 0 + 2)).\nAnswer: 6*h**4 - 36*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3779 - 3311. Let q = -12 - -116. What is the highest common divisor of a and q?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -504514 - -13211?\nAnswer: -451303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 + -1 + (4 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*j + 5, 0 = -2*j - 3*j - 2*k + 10. Solve -w - 5*g - 11 = j, 14 = 13*w - 8*w + 2*g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 10. Let g(p) = -p**3 + 5*p**2 + 5*p. What is g(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 1 = -j - 13, r - 3 = 5*j. Suppose 2*k + 0*k = -2*p + 176, r*k + p = 270. What is the greatest common divisor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 45207300 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 11*h**4\/8 + 202*h**2. Let x(f) = -2*f**2. What is j(x(g))?\nAnswer: -66*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17260 + -17260.052898. Let q = -2382 + 2382.053. Let t = g + q. What is t rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {f: 4, x: 1, m: 3, a: 6, g: 3, e: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 787 and 11.\nAnswer: 8657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**2 + 12*q + 2. Let k(p) = 1 + p + p - p + 0*p. Let o(x) = 12*k(x) - s(x). What is the first derivative of o(h) wrt h?\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -5*s + 267. Suppose -3*z = z - 4*k - s, -5*k = -z + 25. Calculate the greatest common divisor of 15 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -0.7 (c) -3\/2524 (d) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 18*j - 15. Let x be k(-19). Suppose 0 = x*c + 3*y - 2*y - 319, 4*c - 304 = -4*y. Let g = c - 41. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 127*x + 74 + 1577 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4596)\/(-1915) - 16\/(-10))*(1 + (-10)\/4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/2)\/h*h*h)**35*(h*h\/h**(-8)*h*h)\/h**(2\/3) assuming h is positive.\nAnswer: h**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000045611665 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 4*z**2 - 3*z. Let g be h(-4). Suppose 4*a - a = g. Solve 0 = -5*p - j - 11 - 2, p - 2*j - a = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -3144\/107441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4071070 and 1934.\nAnswer: 4071070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1451383?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 23*d**2 - 3*d + 47. Determine c(23).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (0 + 1)) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -17077044.48?\nAnswer: 17077044.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24480500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*k - 102 = 0, j + 33 = -2*k - 19. Let s be (-4)\/10 - j\/90. Which is the nearest to 0? (a) -5 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -5*s + 2*h + 120, 0 = 2*s + 2*h - 40 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b**5 + 40*b**4 + 75*b**3 - 80*b**2 - 28*b = 0 for b.\nAnswer: -2, -2\/7, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35\/216 + 1\/27. Let x = 2.04 - 0.04. Which is the nearest to 1? (a) x (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**6\/720 + s**5\/360 - s**4\/144 - s**3\/36 + 3*s**2\/2 + 3*s. Let g(q) be the first derivative of r(q). Factor g(h).\nAnswer: (h - 1)*(h + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3458 and 15.\nAnswer: 51870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a (base 15) in base 3?\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - b?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/359242 and -58\/2665.\nAnswer: 1796210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - m - 10. Let r = 6 + -2. Let n = r - 4. Calculate o(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 0.4, -1, 0.1, -1036311, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(114)*-2)\/(sqrt(54)\/(2*sqrt(9))) + -1.\nAnswer: -1 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*v**3 - 100 - 100 + 304 - 104.\nAnswer: -123*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 12*b + 2. Let v be z(3). Let a = v - 10. Let s = 10 + 0. What is the remainder when a is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/35168342 and -7\/35168342.\nAnswer: 35168342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = 13*z - 1386. Suppose j + 31 + z = 2*l, 5*j + 56 = l. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + g + 5*g**2 + 9*g**3 - 4*g**2. Is 7 a factor of p(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -5. Solve -b*f = -6*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -85959 - 10\/(-4)*2. Is (-69)\/(-46)*(-1 + b\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x = -2*t - 8, -6 = -3*x + 4*t. Solve 12 = -x*a - 2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u + u - 4*u)*(-14*u - 7*u**2 + 14*u) + u**3 + 3*u**3 + 2*u**3 to c + y*u + l*u**3 + w*u**2 and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldzzzzzzdlz. What is prob of picking 1 z and 1 l?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 0*w - w**3 + 5 + 3*w**2 - 4*w**2 - w + 0*w**2. Let h be m(0). Factor -2\/3*l**2 - 2\/3*l**h + 0 - 2*l**4 + 0*l - 2*l**3.\nAnswer: -2*l**2*(l + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 3:20 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 t, and 1 c when three letters picked without replacement from tgttfctctffgttctct.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*m**3 + 73 - 220 + 74 + 73 - 214*m**3.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 54298*m**3 - 54301*m**3 + 0 - 3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140324333 (base 5) to base 8.\nAnswer: -2563147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39029312, -78058623, -117087934, -156117245, -195146556?\nAnswer: -234175867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7645.5624 hours to weeks.\nAnswer: 45.5093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 320524*v - 641056.\nAnswer: 2*(v - 2)*(v + 160264)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 114679\/138 - 831. Let r = -127\/1518 - p. Is r at most as big as -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29423 = -17*v + 120101. Is v a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457145896 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5472) - sqrt(5472)*-1 - sqrt(5472) - (sqrt(114)*1)\/sqrt(3))\/(-6*(sqrt(72) - sqrt(72)*1) - sqrt(72)).\nAnswer: -11*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (45\/60)\/((-1)\/(-4)). Suppose 11*z = 2*n + 8*z - 2399, -3*n = -i*z - 3600. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 33. Suppose s = 3*y - 47 + 2. Let j(b) = -b**3 + 16*b**2 - 13*b + 5. What are the prime factors of j(y)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -514, -339, -42, 377, 918, 1581, 2366?\n\"Answer: 61*w**2 - 8*w - 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*h - 79 + 10. Suppose 0 = -5*s - h*f + 28, -8*f - 16 = -4*s - 4*f. Solve 4*r - s*z = 0, 4*z + 3 = r + 14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(363) + 2 - ((sqrt(9) - sqrt(9)*3) + sqrt(9) + sqrt(9) - sqrt(9))\/sqrt(3).\nAnswer: 2 + 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 203997 and 4452.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -162 - -161.5. What is the nearest to 1 in -1\/3, 12, o, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15379772?\nAnswer: 2, 3844943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 - 3*c**5 + 3*c**5 + (2 - 3*c - 2)*(5 - 2 - 2)*(70*c**4 - 40*c**4 - 87*c**4).\nAnswer: 169*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.11, -3, -0.8, -5, 2\/25?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 6:38 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2103608000 rounded to the nearest one million?\nAnswer: 2104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 8:17 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.3776 - 72.6224. Is 74 less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -4, -1\/7, 19, 11, -3?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -67*j - 331. What is the tens digit of h(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122, -1150, -3950, -9410, -18418, -31862, -50630?\nAnswer: -75610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4525 - 2348. What is the remainder when a is divided by 109?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -549150 divided by -78450\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -763 - 3?\nAnswer: -766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370092746.\nAnswer: 2, 53, 3491441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (-4 + -16 - -10)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3560, 28386, 95742, 226892, 443100, 765630, 1215746?\nAnswer: 1814712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4342064 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (240\/50 + -6)*(-3)\/(-63). What is the biggest value in -4, h, -2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24603*c**2*p**3 + 8*c**2 + 1439*c*p**2 + 4*p**5 wrt p.\nAnswer: 147618*c**2 + 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2 + 18*d + 140 = 0. What is d?\nAnswer: -5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209937?\nAnswer: 3, 7, 13, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*n**6 - 48*n**5 + 894*n**3 + 1715*n**2 - 363*n wrt n?\nAnswer: -6240*n**3 - 2880*n**2 + 5364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/2*(-108)\/(-15). Suppose -3*b + c = b - 5*l, 5*b - 4*l - 90 = 0. What is the remainder when b is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78411 is divided by 8711.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16133*r - 16157*r - 72 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 20856.\nAnswer: 1\/10428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(4\/11))\/v**21)\/(v\/(v*v**12)*v**(-17)\/v) assuming v is positive.\nAnswer: v**(117\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k + 7. Let n(u) = -u**2 - 111*u - 4. Let f be n(-111). Let q(s) = -s. Give f*q(x) - b(x).\nAnswer: -2*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 10. Let m be q(10). Suppose m = -6*h + 5*h. Which is smaller: 2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 120 + -116. Suppose 2*l - 3*b - 2*b = 30, 4*l - r*b - 36 = 0. What is the second derivative of -13*w**l + 8*w**5 + 5*w - 26*w**5 + w wrt w?\nAnswer: -620*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -95 (b) -45 (c) 4\/71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -15\/2*o**2 + 13*o - 3*o**3 - 1\/20*o**5 + 0 - 3\/2*o**4. Let s be i(-17). Solve -s = r - 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/6)\/(16\/(-60)). Let r = -0.22 + 0.02. What is the closest to r in x, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 34. Let g = -22 + z. Let j = 28.2 + g. Round j to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 279 and 14973961?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddbdbbdbddddbddddbd.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -804 - 668 + 3880 - 802 - 4*d - 800 - 806.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 883043569?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -446399 + 223200 + 223199 + 4850*t**2.\nAnswer: 4850*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6*(-5)\/(-50))\/(3\/(-15)). What are the prime factors of (45\/(-30))\/(d\/(-1004))?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33645 divided by 5.\nAnswer: -6729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or -59464903?\nAnswer: -59464903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*b - 4*v + 4, -4*b - 22 = -2*v. Is (1 + 0)\/(b\/(-4377)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 9*t**2. Suppose -12*i + 16*i + 44 = 0. Let z = i - -20. Let a be v(z). Solve -4*s + 8 = a, -o = -6*o - s - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 2*c + c)*(-769 - 1238 + 1483)*(4*c**2 - 1 + 1).\nAnswer: 4192*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*j + 18, -5*j + 2*y = 5*y + 2. Suppose -3*q + 1 = -j*q, -3*i = 5*q - 35. Find the second derivative of -t**2 + 3*t - 3*t + t - i*t wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 19 + 16 + (-129 - -40)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2963 + -329?\nAnswer: -2c8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10426?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*g - 55, -4*g + c + 0*c = -19. Let x(l) = l**2 - 3*l + 3. Does 7 divide x(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376 = 2*m - 2*s, -s + 151 = 5*m - 807. Solve -162*f - 116 = -m*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 5, -407\/6, -2\/29, -1\/4 in decreasing order.\nAnswer: 5, -2\/29, -1\/4, -33, -407\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z**2 - z + 86. Suppose -4*x - 19 = 5*j + 6, 10 = 3*x - 2*j. Let m be k(x). Is m less than or equal to 85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 - 52. Let b(y) = -3*y + 21. Calculate the smallest common multiple of b(c) and (-1 - 62\/(-2))\/((-16)\/(-8)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 9977\/4039?\nAnswer: 9977\/4039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqddajea. Give prob of sequence eja.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -5 + 18 + (-1251)\/(-9) and 456?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264818 rounded to the nearest 10000?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + ((-21)\/15)\/(13 + 5190\/(-400))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 11\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9881 take away 10.0379?\nAnswer: -8.0498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -86684580.1 + -3683592.9. Let x = m + 90368180.9999998. Let y = -8 + x. Round y to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t - 4*t + 2*t)*(-t**2 + 43*t - 41*t - 23*t**2).\nAnswer: 168*t**3 - 14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3117 + 14860. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2973936097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24295\/1921 - (2 - 4 - (-56)\/34).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 40*c**5 - 22*c**2 - 10*c + 10. Let t(j) = 13*j**5 - 7*j**2 - 3*j + 3. Let u(k) = -3*a(k) + 10*t(k). What is the third derivative of u(n) wrt n?\nAnswer: 600*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215*z + 202*z = -19929. List the prime factors of z.\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 1:28 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -10*s - 48 - 25, -5*t - 26 = -5*s + 8*s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 318 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + -24230224?\nAnswer: -24230234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 307 + -296. Let d(p) = 6*p**2 - 11*p - 11. Let w(i) = -i**2 + 2*i + 2. Calculate j*w(v) + 2*d(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 4*y - 3. Let u be l(-5). Let x = 0 + u. Suppose z - 3*w - 9 = -x*z, 0 = 3*z + 3*w - 21. Solve 0 = -p + z*d - 15, 0 = 4*p + d - 0*d - 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, -1\/3, 5, 1343, -72?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 0 + sqrt(75)*1 + 3 + 1*sqrt(75)*1)*-1)**2*-6.\nAnswer: -1896 - 480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/(-378))\/(3\/216)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 3. Let s(k) = -k**2 + 1. Let t(d) = 1. Let g(p) = z*t(p) + 3*s(p). What is the first derivative of g(o) wrt o?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 800 and 1800?\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 3319 + 493. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + -26 - (-3 - -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(125)*3 - sqrt(125)) + -5)**2 + 5).\nAnswer: -200*sqrt(5) + 1060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -4*h + 13, y - 5*h = -4 + 24 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 323 - 218. Let n = x + -72. Let l = n + -32.99856. What is l rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14444 - -3?\nAnswer: 20002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 822.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*d = 5*x - 35*d - 3252, -2*x = -4*d - 1312. Calculate the remainder when x is divided by 54.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*g - 12 = 0. Calculate the highest common factor of 28 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1301 - -5?\nAnswer: -1274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + 37. Suppose -2*m - 5*p - 3 = k, -4*p - 27 = -3*m - p. Let f be m*1 - (-4 - -8). Solve -h = -0*h - f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -214 + 111?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 38360608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**3\/3 - 2*a**2 - 7*a + 1. Let w be c(6). Suppose 0*l + w*l = -25, d - 71 = -4*l. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 i, and 1 s when three letters picked without replacement from {f: 8, i: 3, s: 4, k: 4}.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 125 + 126 - 250 - 29*a**2 - a**3 to the form b*a**3 + j + m*a**2 + w*a and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 296064, 296059, 296052, 296043?\nAnswer: 296032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -7*m - 8. Let x = m - -4. Calculate the highest common factor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 279 or 277?\nAnswer: 279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 + 44 + 11)*(-2*t + 2*t - 4*t**3)*(4*t**2 + 2*t**2 - 3*t**2).\nAnswer: -1212*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -75255.641 rounded to the nearest 100?\nAnswer: -75300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1*7)\/(1 + -2). Let j be (0 - 1)\/(3\/(-33)). Let t = j - s. Solve -2 = -t*w + 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 4\/5, -4, -0.6, -617?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 272015157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -7*t + 43. Let g(f) = 104*f - 644. Give -6*g(d) - 88*w(d).\nAnswer: -8*d + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((25\/4)\/1)\/((-49)\/(-14)). Let o = -2\/7 + d. Let i = 0 + 0.1. Which is the nearest to i? (a) 0.4 (b) -0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*(sqrt(1452) + sqrt(1452)*1))\/(-1*sqrt(216)*1 + -5*(-1*sqrt(216) - sqrt(216))).\nAnswer: 11*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 184 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112167937, 112167938, 112167939?\nAnswer: 112167940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 403673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 817372 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**4 + 180128*x**3 + 2026799772*x**2 - 24349885520*x - 26376505168 = 0?\nAnswer: -22522, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65647250 and 13912?\nAnswer: 3478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1071 is divided by (0 - -79) + -8*(-33)\/88?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((2\/2)\/3). Solve b*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2)*k**(-2\/9)*k*k*(k*(k**(-2)*k)\/k*k)**(-29))**38 assuming k is positive.\nAnswer: k**(437\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 108 = -3*m + 7*m, 4*m - a = 96. Is (3 + 11)\/(5\/m) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 74 + (1 + 7 - (5 + 9 + 4))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kak when three letters picked without replacement from kjbajbjbkkkkk?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-6)\/(-8)*(-16)\/(-25896)*13.\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 + (-9 - -31) + (-13 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.4 + 0.5?\nAnswer: -86.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than -2054?\nAnswer: -2060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 5:47 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.17 + 0.23. What is the second biggest value in q, 0.5, 0, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/936 and -33\/46088.\nAnswer: 5392296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*w**6 + 50246*w**4 - 2*w**3 + 24539888*w**2 wrt w.\nAnswer: 7680*w**3 + 1205904*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: a1 (base 16) to base 6\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 100101100?\nAnswer: -100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2\/3 + 76*b\/3 + 80\/3.\nAnswer: -4*(b - 20)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 605582*y - 234298?\nAnswer: 605582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a tonne in kilograms?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4538968643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 536937 - 63*k - 536939 + 19*k + 13*k**2 - 4*k**2 - k**2 + 3*k**2 + 2*k**2 + 0*k**2 + 0*k**2 + (-k - k + 4*k)*(-2*k + 1 - 1).\nAnswer: 9*k**2 - 44*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 199\/23400 and 85\/139152.\nAnswer: 10436400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -0.55. Let k = 0.45 - v. Sort -5, -0.1, k.\nAnswer: -5, k, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/80)\/((-3)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 12 = -z, 2*p + 4 = 2*z + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 2\/8*0. Let z be (0 - 3\/4)*4. What is the units digit of z*(10\/(-6) + b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmlmlrmglrm. Give prob of picking 2 m.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -24*j**3 - 4*j**2 + j. Let z = -103 - -105. Suppose 0 = -z*x + 3*x + 2. What is the tens digit of q(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 11427.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/29? (a) 0.4 (b) 1\/3 (c) -2.1 (d) 2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q + 2*q**3 - 3*q**2 - 9*q**3 - 3 - q**3. Let k be i(-4). Let t = -172 + k. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-6))\/((2\/4)\/((-286)\/1859))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1 - 19*j + 78*j - 14*j.\nAnswer: 45*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 2. Let c be q(-2). Suppose -c*f = -82 - 78. Calculate the lowest common multiple of 30 and f.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 7*c + 34 = -v, 41 = 5*c - 2*v. Let y = -304 + 335. Calculate the remainder when y is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-239 + 191 + 129)*(g + 0*g + 0*g).\nAnswer: 81*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i*(i\/(i*i\/(i\/(i\/i**12))*i*i)*i)\/i*i)\/i)\/i)\/i*i*i*i**(-31)*i)\/(i**(-23)*i)**(-1\/38) assuming i is positive.\nAnswer: i**(-372\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**3 + 3*w**2 + 20*w - 11. Let j(f) = -2*f**3 - f**2 - 7*f + 4. Let o = -1446 - -765. Let c = 685 + o. Calculate c*g(i) + 11*j(i).\nAnswer: -2*i**3 + i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*3\/(3\/(-22)). Let x(n) = -4*n + 40 - t - 20. Let r be (-360)\/170 - 2\/(-17). Calculate x(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-1)\/(-3)))\/(-33*(-504)\/(-126))?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/168*(-102)\/(-17).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5316985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z - 2 = 25*z + l, 0 = -2*z - 7*l - 14 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(0 + 0 + o**4).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 227*o**5\/10 + 185*o**4\/6 + 66*o. Find the third derivative of n(i) wrt i.\nAnswer: 2724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 311287608071256 and 0.5.\nAnswer: 311287608071256.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6 = -3. Let x be 2\/(-3) + 3\/(-9). Sort -5, x, d in descending order.\nAnswer: d, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*v**2 + 12*v**2 - 3*v**2 as c*v + z + m*v**2 and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*r - 3, -2*x - 4 = r - 7. Which is greater: x or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 250983 and 18486?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 35?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -7. Suppose -i*b + 13*b - 4 = 0. Let x be (b\/4)\/(13\/(-156)). Let z(f) = -f**2 - 3*f + 7. Calculate z(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r - 10*r + 18 - 20)*(-3 - 4 + 6) to f + o*r and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1580473274 and -0.3.\nAnswer: -1580473274.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -184255*b*o**2 + 72*o**2 - 200 wrt b.\nAnswer: -184255*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 291376 - 291375.8999972. Let g = u - 0.1. What is g rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.2, -80\/3 in increasing order.\nAnswer: -80\/3, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(-2)\/6*-3. Suppose -v + 23 = l + 3*v, o*l + 4*v = 35. Suppose l = -b + 23. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1873 + -1865. Let y(u) be the second derivative of -7\/6*u**3 + 0 - m*u + 6*u**2. Find the first derivative of y(h) wrt h.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 11725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10235 - -1162?\nAnswer: 11417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1313 + -1318. What is the nearest to -0.3 in -6, 5, s, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -116624, -116633, -116644, -116657, -116672, -116689?\n\"Answer: -z**2 - 6*z - 116617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 9:51 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*u + 4*o + 23, -5*o - 70 = -5*u. Suppose p = -2*p + u. Suppose -p*y = -6*y + 18. Solve -3*c + 3 = y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 328*w - 1620 = -2*w. Sort w, -65, 3, -3 in increasing order.\nAnswer: -65, -3, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -7*o + 11*o. Solve -5*p + 3*i - o = -10, 0 = 3*p - 3*i - 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 28 = 4*k + 4*p, -3 = k - 3*p. Let h(i) = i**2 - 11*i + 5. Does 26 divide h(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4392 + 0.4392. Let n = -6.5 + 7. Which is the nearest to 0? (a) w (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 + 2*j**2 - 17*j + 3*j**2 - 8*j**2 as y*j + f*j**2 + u and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/595794 and -99\/1390186.\nAnswer: 4170558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1944) + sqrt(1944)*-2 + sqrt(1944))*-6*-5)\/((sqrt(1452) + (sqrt(1452) + -1*-3*sqrt(1452) - sqrt(1452)))*5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/17, -0.3, -1\/2, 1, 6\/7?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 12*u + 16. Let k be z(-13). Let y(g) be the first derivative of 2\/3*g**k + 2\/3*g**2 + 2\/9*g + 1. What is t in y(t) = 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.7 and -1543327081.\nAnswer: -1543327080.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x. Suppose 2*p + 2 = 4*r, 3*r - 14 = 5*p - p. Suppose 13*h + 3*n = 12*h, 5*h - n - 16 = 0. Let m(s) = -s**3 + 2*s. What is h*m(l) + r*g(l)?\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*p**3*x**4 + 57*p**3 + 3*p**2*x**2 + 116*p*x**5 + 3*x wrt x.\nAnswer: 216*p**3*x + 6960*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3846 - 71?\nAnswer: -3907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 83364400 to the nearest 100000.\nAnswer: 83400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaaakaka?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*w = 85580 + 3125111. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7 - 3*t + 2*t + 0*t. Let f(b) = -5*b**3 + b**2 - b - 1. Let j be f(-1). Let x be p(j). Solve g - 3 = -x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -0.05, -141?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 1a82?\nAnswer: -1a80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18353053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4, -18, -34, -52, -72, -94?\n\"Answer: -f**2 - 11*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5096 - 4*s + 5096.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 0*v**2 + 0*v**2)*(3*v**3 + 0*v**2 - v**3 + 20*v**2).\nAnswer: -4*v**5 - 40*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1283? (a) -5 (b) 170 (c) 4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-18)*12\/(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4.67 times 340\nAnswer: -1587.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - p = -11, -25 = -5*o + 7*p - 10*p. What is the derivative of 16*x**2 - 74*x**o - 4864*x + 4864*x - 36 wrt x?\nAnswer: -116*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 5*s + 35, 2*o - 1 = -4*s - 23 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-14)*63\/(-36)*(-2 + 0). Let v = 2 + -1.9. Which is the closest to 1? (a) v (b) 2\/7 (c) m (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1687, 57356 in increasing order.\nAnswer: 1, 1687, 57356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((28 - 3)*-1)\/(213 + -218). Let p(y) = -3*y**2 + 2*y + 4. Let z(a) be the first derivative of 7*a**3\/3 - 3*a**2\/2 - 9*a - 4. What is n*p(f) + 2*z(f)?\nAnswer: -f**2 + 4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h + 10. Let g be q(3). Let c(z) = -2*z**3 + z**2 + 15*z - 3. List the prime factors of c(g).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/35 + 82\/7. Let m be -3 + 5 + (-20)\/(-2). Let d = m - k. Solve d = z - 3, 6 = -2*l + 5*l + z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g + 12 = -5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 41. Let v be (i\/(-10))\/((-4)\/(-10)). Suppose -v*h = -4*h. Solve 3*m - 4*z = -0*m - 3, -4*m - 5*z - 35 = h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13040 - -13692. Calculate the remainder when p is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-18))\/((-1)\/(-5))*6903\/(-2301)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**3 - 11*r**2 - 17*r - 40. Is 11 a factor of n(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 9:12 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*3*sqrt(77) + (sqrt(77) + 4*sqrt(77)*1 + sqrt(77) + sqrt(77) - sqrt(77)))\/(sqrt(7) + sqrt(49)\/(sqrt(7)*-2) - (sqrt(196)\/sqrt(7))\/sqrt(4)))**2*3.\nAnswer: 10692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120222100 (base 3) in base 13?\nAnswer: 53bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 176152455?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 697*c + 158918.\nAnswer: -(c - 181)*(c + 878)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-312)\/10*1)\/(4\/(-100))?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4978, -9955, -14928, -19897?\nAnswer: -24862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/42)\/(6\/20)*(-72)\/(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.6635 rounded to two decimal places?\nAnswer: -11.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 0, -6 in descending order.\nAnswer: 0, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a + 5010 = 2*w, 0 = -a + 5*w + 2493. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l*l**14*l*l**(-4\/13))\/(l**19\/(l**1\/l)) assuming l is positive.\nAnswer: l**(-4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5680.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -15, 5 in decreasing order.\nAnswer: 5, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3897 - 3897 - 39*d**2.\nAnswer: -39*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 376.00006933 - 376. What is z rounded to six dps?\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61889 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i + 3*x - 231 = 0, 4262 = 5*i - 4*x + 4213 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 10*q**2 - 951*q + 479. Let p(d) = -30*d**2 + 2855*d - 1440. Let t(n) = 3*p(n) + 10*x(n). Find c, given that t(c) = 0.\nAnswer: 1\/2, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 7*k**2 - 5. Let a(c) be the third derivative of -3\/2*c**3 + 0 - 1\/24*c**4 + 0*c + 8*c**2. Let q be a(-2). Determine n(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -14*w**5\/5 - 13*w**4\/4 + w**3 - 10*w**2 + 692. Find the third derivative of p(m) wrt m.\nAnswer: -336*m - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 0*r + 7\/40*r**6 - 51\/20*r**5 + 7*r**4 - 6*r**3 + 0 + 3*r**2. Factor j(l).\nAnswer: 3*(l - 6)*(l - 1)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77861, 77851, 77835, 77813, 77785?\nAnswer: 77751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43342 (base 10) to base 9.\nAnswer: -65407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92*i + 160*i + 64*i + 5)*(2 + 3 + 3).\nAnswer: 1056*i + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20636138?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 90*q**2 - 2*q. Let d be i(2). Suppose -260 = 5*o - o - 3*n, -5*o - 4*n = d. Let v be 8\/36 + o\/(-18). Solve 0 = 2*s - 4, -3*t + v = -s + 21 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 6*t - 6. What is c(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.73205385 to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6935.\nAnswer: 5, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**4\/12 + s**3\/2 + 5*s**2\/2 - 5*s. Let y(a) be the first derivative of q(a). What is the derivative of y(b) wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f = 53 - 14. Suppose -f*b + 3 + 6 = 0. Solve -4*v = 2*s + 10, -b*v + 5*s + 25 = -4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + 0*a + 2*a)*(147*a + 9*a**3 - 4576*a - 7*a**3) in the form w*a + x + l*a**4 + g*a**2 + n*a**3 and give g.\nAnswer: -8858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 52?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6 - 21\/(-9). Let h = -5 + 25. Let t = -16 + h. Which is the second smallest value? (a) z (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 474702 = -196*z + 106406 + 1988824. What is the thousands digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**2)**(-36)*((u\/u**(3\/8))\/u)\/(u*u*u*u\/u**(-13)*u) assuming u is positive.\nAnswer: u**(-1011\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 109008971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-55)\/(-15) + (-2)\/(-6). Suppose 0 = -a*i + 486 + 90. Suppose -6*o + i = -0*o. What is the greatest common divisor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = -0*l + 4*l. Suppose 3*i - 24 = i - 3*w, 5*w = -3*i + l. Solve -4*g + g = -i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**2 + 2*n - 1. Let g(l) = 7*l**2 + l + 7. Let y(j) = -7*j**2 - 3*j - 9. Let h(s) = -3*g(s) - 2*y(s). What is -2*h(t) + 5*k(t)?\nAnswer: -t**2 + 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 3*m + 86 = -0*m + 95, 6*m + 2*m - 64 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 43 + 547 = 0. Suppose -6*b - i - 660 = 0. Let m = -24 - b. Is 26 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 0, -2, 5, 4 in increasing order.\nAnswer: -2, 0, 4, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-10) - (-28294)\/385. Let c = 73 - h. Are c and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26\/99 or 0?\nAnswer: 26\/99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 14*b**2 + 17*b + 17. Let i(y) = -5*y**2 - 6*y - 6. Determine -17*i(z) - 6*x(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -20*u**2 + 21*u + 199. Calculate i(-9).\nAnswer: -1610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2. Let s(k) = -42 + 42 - 9*k**2. Calculate s(z(u)).\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 2*o = 5*o - 30, 4*o - 20 = 3*y - 38 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -147407*p**3 - 137384?\nAnswer: -442221*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -2, -17 in descending order.\nAnswer: 25, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26*(-9)\/9)\/((-8)\/(-7 + 3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 167868.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - (-9184)\/288)*(-3)\/(-2)*10.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.30011 - -2.3. What is w rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/187849 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -2.72829?\nAnswer: -3.22829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + c**2. Suppose -r + 4*m - 20 = 2*r, 3*r = m - 14. Let a(l) = 5*l**3 - 3*l**2. Give r*v(x) - a(x).\nAnswer: -x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 40503?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + 31?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36037, -144186, -324443, -576814, -901305, -1297922, -1766671?\nAnswer: -2307558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 16 = -10*p. Let k(n) = -24*n + 45. List the prime factors of k(p).\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47\/(2162\/(-3956)))\/(6\/(-3)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 148777132 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-109)\/693*20 + -1. Let t = a - 100\/77. Find the common denominator of t and -73\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2516 - -0.43?\nAnswer: -2515.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 6*j + 9. Let i(d) = -d. Let t be i(7). Let l be q(t). Suppose 0 + 12 = l*b. Solve -5*w - 3 = -b*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*c**3 - 1150\/3*c + 94\/3*c**2 + 1058\/3.\nAnswer: -2*(c - 23)**2*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from {d: 1, q: 1, u: 4, j: 2, b: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + (-14)\/6)*-15. Let s be 62\/2 + (29 - 30). Suppose 724*c = 734*c + s. Sort c, o, -1 in decreasing order.\nAnswer: o, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*n = 0, 3*n - 7*n = -5*h. Suppose 0 = -v - h*v + 16. Suppose -4*c + 12 = -12. Calculate the remainder when v is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2280.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4*q = 12 - 7, 0 = 5*i - q + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.222 - 1376.778. Let h = -1376.999997606 - a. What is h rounded to 7 decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bd - 24?\nAnswer: -e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1660*i + 199*i - 233*i - 1644*i + 36718 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00548252 rounded to 5 decimal places?\nAnswer: 0.00548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrrr when four letters picked without replacement from rrrzzzjrzzz.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 19 = -4*y, -7*y + 3 = -4*y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/341 and 97\/806.\nAnswer: 8866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 3*l = 9, 5*l + 15 = -s + 6*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l = -f + 2, -8 = 2*l - 4*f. Solve l*t - 21 = -3*t + 3*g, -18 = -4*t - g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*b + 2*b - 5, j - 5 = 4*b. Let s(n) = n**2 - 12*n + 22. Let h be s(11). Solve -2*z + j*z + 9 = 0, -5*q - 3*z + h = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -2*g**3 + 23*g**2\/2 - 6*g + 10201. Determine w(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -127, -1, -24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - 0.3. Let c = 57 + -55. Suppose -d - 4*x = d + 6, 5*d = c*x + 33. What is the nearest to q in 1\/6, d, 0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 176.9 - 872.4. What is d rounded to the nearest 10?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -872 + 872. Suppose 5*o = -0*o - 60. Let m be ((-4)\/o)\/((-3)\/(-27)). Solve 0 = -m*y + p - 16, 3*p = y - k*p + 8 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 10*c - 770. Let j = -58 - c. What is the greatest common divisor of 36 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -5 (c) 4 (d) -4 (e) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2274600 to the nearest 10000.\nAnswer: 2270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.08 + 7. Let x = -12.08 - t. Let b = x - -11.999957. What is b rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + sqrt(1377) + -1 + -1 + sqrt(1377) - sqrt(1377)) + sqrt(1377) + -4 + 1*sqrt(1377) + -3*(1 + sqrt(1377) + 4)*4)**2.\nAnswer: 9504*sqrt(17) + 92484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 7*q**4\/4 + 5*q**2\/2 + 2*q + 1185. Let m(u) = -7*u**3 - 6*u - 2. What is -6*k(j) - 5*m(j)?\nAnswer: -7*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1447*x + 637*x = 66688 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11953*l + 3*l**3 + 11953*l.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/3 (b) 688101 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121 + -118. What is the fourth biggest value in -52, -4, f, 0.2?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(336) + sqrt(336)*-1))\/(2*sqrt(24)\/sqrt(2)))\/((sqrt(400) + (sqrt(400) - (sqrt(400)*-2 + sqrt(400) - sqrt(400))*4 - sqrt(400)))*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 0*y**5 + 0*y - 1\/70*y**7 + 4*y**2 + 0*y**3 + 0 + 5\/24*y**4 + 0*y**6. Find the second derivative of b(n) wrt n.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2026 - 674?\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141 and 31866?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*u - 11 + 11 + 1956*u + 103*u.\nAnswer: 2148*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -1) + -58 + (-7 - -79)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 20. Let x be (-11)\/(-30) + 2\/(-4). Which is the closest to v? (a) -1 (b) x (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 1 - 3 - 2*v. Let o = 40 + -37. Determine x(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a micrometer in nanometers?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29 - 1387280.89.\nAnswer: -1387309.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 - (14 - -45) - (2 - -33).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -12340, 3 in descending order.\nAnswer: 3, -2, -12340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-44) - (-112)\/110. Let r = 953 + -952.9. Which is the third biggest value? (a) 0.4 (b) l (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-32) + 242\/4 - 1. Let n = -27 + r. Suppose 0*b = -4*b + n. Solve 0 = -4*k - b, 0 = p + k - 0 + 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*l + 930, 4*l - 1153 - 87 = -h. Suppose -2*y + 0*y = 4*u - l, u = 0. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 5*j + 32, q - 5 = 5*j - 3*j for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**5\/20 + 5*m**4\/6 + 2*m**3 - 11*m**2\/2 - 7*m. Let o be d(11). Solve -2*t - 3 - 3 = o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 552\/(-336)*-14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 4)*3\/(-15). Let h be 1 - 27\/21*1. Which is the closest to h? (a) q (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s**3 - 35*s**2 + s - 31. Let g(d) = d**3 + 7*d**2 + 6. Let x(m) = -11*g(m) - 2*z(m). Calculate the remainder when 39 is divided by x(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 783*u**2 - 9*u + 17. Is n(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 248811 by -3.\nAnswer: -82937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + 3. Suppose 3*a - 6*a + l = 0. Let x = -519 - -533. Calculate the smallest common multiple of a and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**4 + 276*a**3 - 880*a**2 - 1152*a = 0 for a.\nAnswer: -72, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206044.\nAnswer: 2, 51511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -4, 5\/2, -2\/5, 0.48 in decreasing order.\nAnswer: 12, 5\/2, 0.48, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8847*g**2 + 13024*g**2 - 38996*g**2.\nAnswer: -34819*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -139 - -139. Let d(w) be the third derivative of -1\/6*w**4 + 0 + s*w + 5*w**2 + 1\/3*w**3. Differentiate d(y) wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 = -3*u + 47. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 5*g**2 + 14*g + 132. Determine o(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6927, -13920, -20901, -27870?\n\"Answer: 6*i**2 - 7011*i + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 26512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1843 - d**2 - 1843.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.9105 rounded to 1 dp?\nAnswer: -94.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 483, 494, 515, 546, 587, 638?\n\"Answer: 5*o**2 - 4*o + 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 7*u**2 - 2*u + 21. Calculate f(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 3*j**2. Let f be s(-3). Suppose -5*c + c = f. Put 2, c, -3 in descending order.\nAnswer: 2, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48.4239 - -0.2839. Let t = 33.4 + n. Let g = 15 + t. What is g rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 2*q + 11 = 0, 5*h + q = 7 - 35 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/17 + 13538*z**2\/17 - 27879574*z\/17 + 15772092934\/17.\nAnswer: -2*(z - 2923)**2*(z - 923)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11408)\/16)\/(-23)*7\/7.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1100.0433 - 1100.5. What is v rounded to two dps?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3700285?\nAnswer: 5, 659, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -371404*s. Let d(z) = 28*z**2. Determine y(d(o)).\nAnswer: -10399312*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 471*k + 25849. Calculate n(-55).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 5 + 5)*(22 + 4*i**2 - 22) + 3 - 3 + 2*i**4.\nAnswer: 10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -61885.8711 rounded to the nearest 100?\nAnswer: -61900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 7*v. Let j be 0 + v\/(-1 + -1). Solve j*h + h = -4*w - 10, 2*w - 5*h = -16 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 11:33 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2423.\nAnswer: 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54581133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.0622 nanograms in tonnes?\nAnswer: 0.0000000000001020622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1625.2 times 1.4\nAnswer: -2275.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 8:48 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 31036527?\nAnswer: -31036532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42568834 by 24493.\nAnswer: 1738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -724 (c) 0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 1253 = -5*b - 1217, 128 = 4*b + d + 97 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 10376776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 2. Let c = -5 + 3. Suppose 0*p = 2*p + 2. Let k = p - c. Let n(y) = y**2 + 1. Determine k*o(u) + 3*n(u).\nAnswer: 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 14 = 6, -4*p - 3*v = -20. Let d be 1*p\/(-6)*-1. Find q such that -1\/3*q - d*q**4 + 1\/3*q**2 + 0 + 1\/3*q**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85\/((-26690)\/1413)*4\/(-198)*4.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 19. Let z be m(-23). Let j(r) = 3118*r - 105. Is j(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/30101 and 37\/209736.\nAnswer: 6501816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2))**(23\/3))**(-27)\/(((z*z**(6\/7)\/z)\/z*z**(1\/6)\/z)\/(z**(-2\/15)\/(z**(-1\/10)*z))) assuming z is positive.\nAnswer: z**(14488\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q\/q**(-45))\/q*q))\/q)\/((q\/((q*q**(-8))\/q))\/q)*(q**24)**32)**43 assuming q is positive.\nAnswer: q**30702","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12142 + -19186. Let t = i - -232586\/33. Let k = 13\/3 - t. Is k equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 3. Let i(b) = b**3 + b**2. Let h(n) = 214 - 22*n**3 + 174 - 6*n**2 - 375. Let d(y) = f*h(y) - 6*i(y). Differentiate d(p) with respect to p.\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1207122499?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 13 + 1 = 0. Let g(n) = 4*n**2 + 5*n - 2. Let f be g(3). Suppose b*w = 5*v + f, -3*v - v - 37 = -3*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.75 and -0.07.\nAnswer: 0.0525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z + 1. Let n(a) = 10*a + 4. Let w(q) = -16*c(q) + 3*n(q). Let v(r) = 12 - 2*r - 33 + 16. Determine 4*v(t) - 5*w(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -574.5 - -576.5. Sort -0.23, u, -3, -1\/2.\nAnswer: -3, -1\/2, -0.23, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**2 - 136*n - 1840. Let w be p(-13). Is w at most as big as -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/(-2))\/(2553\/5106).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13, -16, -81, -200, -391, -672, -1061, -1576?\n\"Answer: -3*z**3 - 8*z + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3bf1 + 3?\nAnswer: 3bf4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*i + 48*i + 47*i + 54*i + 53*i - 255*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 11. Find the common denominator of (-200)\/z*1\/(-12) and -67\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**6\/120 + j**4\/6 + 25*j**3\/6 - 7*j**2. Let y(l) be the first derivative of t(l). Differentiate y(w) wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -l + 2. Let x = l - -14. Suppose 0 = -z - x, b + 2*z = 4*b - 46. What is the smallest common multiple of b and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6604109 + 3514109. What is f rounded to the nearest 100000?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/15, -81, 3\/2, 0.01, -1\/4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/81 and 182\/(-56)*(-84)\/(-18).\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*m + 24 = 0, -11 = 5*y + m + 52. Let d(i) = -2*i - 24. Let p be d(y). Solve -2*f + 1 - 16 = 3*z, p = 3*f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6290154466?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b - 229735 = 2917*b + 1245*b for b.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19105398007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 8 + 3*p + 3*p - 3*p + 3. Let j = 6 + 31. Calculate the remainder when j is divided by s(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.1. Let w be (-8 + (-132)\/(-16))*2. Which is smaller: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) -2 (c) -6167 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.97 times -0.2\nAnswer: 0.194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*o - 37*o + 79*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.95 + -0.05. Let r = -0.951 - 0.049. What is the closest to r in -0.2, s, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 3*q + 18. Let t be j(-16). Let a = -4833\/14 + 345. Calculate the common denominator of (430\/72 - 6)*t and a.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 15*k - 16. What is the least common multiple of m(13) and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a + -109b5?\nAnswer: -10999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -848, -851, -856, -863?\nAnswer: -872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i + 24. Let y be q(6). Suppose y = o + 3*j - 3874, 5*j = -4*o + 3*o + 3880. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + a**2 - 2*a - 1. Let y be m(-2). Let c be y\/(-2)*(-24)\/30. What are the prime factors of c*(2 - -2 - 3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - 11. Let z = -8 + 27. Calculate the remainder when 2*146\/4*(-33 - x) is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*c - 35*c = -3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -235320142 + 2?\nAnswer: -235320140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4300 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 + 14 - (0 + 4). Let i be (12\/262)\/h*-1. Let t = 244\/1179 - i. What is the nearest to t in -2\/9, 0.2, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -7, 341, -21 in descending order.\nAnswer: 341, -7, -17, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -274*h**2 + 22. Let c(p) = -38*p**2 + 3. Let j(m) = -44*c(m) + 6*q(m). Let z(w) = -98*w**2. Calculate j(z(f)).\nAnswer: 268912*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 826\nAnswer: 3\/413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 5:13 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence td when two letters picked without replacement from nnddddxtdtnddn.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 l, and 1 f when three letters picked without replacement from fllfrrlll?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + t - 2193, -5*x + 9*t - 13*t = -10961. What are the prime factors of x?\nAnswer: 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 472 = 4*q - 19*s + 23*s, 13*q + 5*s - 1534 = 0. Calculate the remainder when q is divided by (-9)\/3*32\/(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646159126?\nAnswer: 2, 2591, 124693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/2*-3 + -1. Let n = 40 + z. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 9:22 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.45, -5, -2\/7 in ascending order.\nAnswer: -5, -1.45, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - fd?\nAnswer: -f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/32*(-8 - (-4 - -2)))\/(8195\/39336).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55885 is divided by 173?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53346.\nAnswer: 2, 3, 17, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w - 9*w = -6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**2 - 980370660*s - 48056331549441780 = 0 for s.\nAnswer: -98037066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 q when three letters picked without replacement from qqicaui?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 0)*(-2)\/(-2). Let r be ((-124)\/6)\/(28\/126). Let t = -93 - r. Put t, m, -4 in decreasing order.\nAnswer: t, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 (base 13) in base 4?\nAnswer: -1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*h + 65 + 19 = 0, -2*k + 5*h = -132. Suppose -6*w + k = -2*w. What is the remainder when 73 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 48 = 3*d. Suppose -5*g + d + 117 = 0. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22348.9999972066 + -22349. What is l rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -1\/8*v**4 + 0*v - 23*v**2 + 0 + 1\/12*v**5 - 1\/3*v**3 - 1\/120*v**6. Give h(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207295404 a multiple of 1520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 180781 to the power of 1\/2, to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.27913468 + 0.4775.\nAnswer: 0.75663468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171978 + -10.051.\nAnswer: 171967.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 3*d**2 - d - 3. Let k be m(-4). Let a = k + -17. Suppose a = -0*t - 2*t + 2*v + 28, -3*t - 2*v = -57. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -1. Suppose 0 = s + b + 3. Suppose 0*p + 2*p + 4*l = -22, 4*l + 10 = 2*p. Is p > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5424141.\nAnswer: 3, 773, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 759, 1506, 2247, 2982, 3711?\n\"Answer: -3*t**2 + 756*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 420 and 630222.\nAnswer: 44115540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express i - 14*i**2 - 17 - 28*i**2 - 134*i**3 + 136*i**3 + 4 in the form a*i + v + p*i**3 + q*i**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**4\/4 - u**3\/2 - 7*u**2\/2 - 9875*u. Let d(q) = q**2 + 1. What is -5*d(m) - i(m)?\nAnswer: -8*m**2 + 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 6 - 3. Let p = 16 - 3. Let r = u + p. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -3.25. Let z = -0.25 - k. Let h = z + -0.2. What is the biggest value in 0.3, 3, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195694273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o - 2. Let s(l) = 4*l + 3. Let k(r) = -3*a(r) - 2*s(r). Let t(c) = 5*c. What is k(t(j))?\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c**2 + 1. Let m be (-21)\/(-35) + 10\/25. Let x(b) = -14*b**2 - 6. Let h(l) = 2*l**2 + 1. Let u(r) = m*x(r) + 6*h(r). Give s(u(y)).\nAnswer: -24*y**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*h - 18651 + 18651 + 188*h.\nAnswer: 383*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**3 + 2*x**2 - x + 2. Let p = -1 - -3. Let h be y(p). Let g(n) = n + 9. What is the units digit of g(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.8 (b) -1\/2 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o + 40. Let m be x(15). Put -2, m, 125 in increasing order.\nAnswer: m, -2, 125","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.91 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.1 - -1.8. What is the nearest to -56 in 5, h, 3\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + f = 65, -10086*i + f - 19 = -10082*i + 16*f for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -186029 (base 12) in base 11?\nAnswer: -270444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from uyuuuuyyyyyy?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/32)*t**(-41)*t assuming t is positive.\nAnswer: t**(-1283\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5438.\nAnswer: 2, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6898861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11*r**3 + 5*r**2 + 4. Let l(h) be the second derivative of h**5\/4 + h**4\/4 + h**2 + h + 92. Give 5*l(f) - 3*p(f).\nAnswer: -8*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + t - 5. Let u be z(-5). Let j(b) = b**2 + 11*b + 15. Let r be j(-7). Let g = r - u. Calculate the least common multiple of g and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**2 - 34*v + 190. Does 27 divide g(-29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -51\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/12 - 1\/(9\/(-1164))?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(9\/2))\/(t\/(t\/t**(1\/6)))*((t**(-3)\/t)\/t)**13 assuming t is positive.\nAnswer: t**(-179\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -448643724*(-4)\/(-897287449) + 2. Let u = i + -25264922715983\/6500847568005. Let b = u + -2\/805. What is the common denominator of -59\/4 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*s + 75 = -308*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 - -12505)*1\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v - 2*v)*(-22 + 3 + 4)*(0*v + 0*v - 8*v).\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + ((-20)\/35)\/(1\/(-11)). Let -2\/7*z**2 - 4\/7*z + 0 + t*z**3 = 0. Calculate z.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 101 - 267. Let g = -5 - f. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -751 divided by -4.\nAnswer: 751\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 24130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/7 - 176\/(-28) is divided by (-2 - -4 - 1) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 437 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1020 divide 1509705060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -10. Let y(f) = 2*f. Let u be y(b). Let z = u + 4. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 16 = 18*w. Which is the closest to -2\/19? (a) w (b) -3 (c) 3\/7 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*s + 5*s + 25*s + (2*s - 2*s - s)*(-8 - 9 + 27) + (-5 + 2 + 1)*(4 + 2*s - 4).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -323 - -178. Let f = w - -151. Suppose 7*i - 2*i + 21 = 3*h, 2*h = -4*i - 8. Solve -o - 4 = -3*t, 6*o - o - f = h*t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -13*b - 24. Let m(f) = 37*f + 72. Let r(y) = 3*m(y) + 8*w(y). What are the prime factors of r(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523826777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 + 196. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - (-1 - -2)) + -191363. Let c = x - -108658. What is c rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*r + 12 - 8 - 31 - 23*r in the form o + k*r and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -1000100?\nAnswer: 1000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(7920)*-3)\/(sqrt(1331)*2 + sqrt(1331) - sqrt(132)\/(sqrt(60)\/sqrt(5))).\nAnswer: -27*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1507*u**2 + 4526*u**2 - 1510*u**2 - 1506*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 7*a**2 + 8*a + 4. Let f = 22 + -14. Let x be t(f). Are x and 4 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3025.2 + 3022. Let q = -1131812.17999713 + 1131815.38. Let c = u + q. Round c to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643465 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -21293614 rounded to the nearest one thousand?\nAnswer: -21294000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = k - 0*o + 5*o, -4*k = -2*o - 96. Suppose -4 = -b + 8. Calculate the remainder when k is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(176) - -1*sqrt(176))*-3.\nAnswer: -3*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 147, 199, 235, 249, 235, 187?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -0.2 (c) -1 (d) 867 (e) -0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57554715 is divided by 791?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 84, 331, 812, 1605, 2788, 4439?\nAnswer: 6636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(48)*3) + -1 + -3.\nAnswer: -4 + sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3433\/3300 - 11\/150. Find the common denominator of a and 91\/48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 257\/517 - -3\/1034. Let v be ((-1)\/(-5))\/(3\/9). Sort 0.2, 3, v, p in increasing order.\nAnswer: 0.2, p, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -375*m**3 - 389*m**3 + 103*m**3 + 85*m**3.\nAnswer: -576*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2448425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 33*x**2 - 40*x - 193. What is s(-34)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/5)\/(1\/105). Calculate the greatest common divisor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 3 = 2*h, -74212 + 74187 = 5*h - 4*p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3832 + bc97?\nAnswer: 8465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (40 + -22)) + (-3 - (37 + 3)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (4 - 3) - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2624816357\/180 - 14582267. Let i = -21776 + 195566\/9. Let k = i + t. What is the common denominator of k and 9\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 110 = -0*l. Let x = -313 - -315. Suppose g + 2*d - 48 = -0*d, 2*g + x*d - 90 = 0. What is the remainder when g is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 549 + -449. Suppose -3*w = 2*w - 125. Suppose 0 = 4*m - 3*m - w. What is the greatest common factor of u and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 3*z + 14 = 0, -n - 2*n - 7 = 4*z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.058 or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -65*o**2. Let b(c) be the first derivative of -9*c**2\/2 - 1668. Calculate b(y(u)).\nAnswer: 585*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 80 times -0.34\nAnswer: -27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.09572 - -0.10428. Put 0.3, -0.1, -0.11, o in descending order.\nAnswer: o, 0.3, -0.1, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m + 2*z + 13 = -22*m, -z = -3*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 43534618 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**3 - 17634*u**2 - 77651244*u + 778276840 = 0?\nAnswer: -8822, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -105 - -3127\/30. Calculate the common denominator of c and 13\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -88 and -266496.\nAnswer: 23451648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 7:58 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 23677902?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 21*y - 12*y - 10*y - 3. What is x(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 8:48 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 2. Let n = 18 - c. Suppose -7 - 1 = -k. What is the greatest common factor of k and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q. Let c(m) = -669*m**2. Calculate t(c(g)).\nAnswer: -669*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55957 is divided by 68.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 308568 + 10992 = 4*t, -t - 159780 = -2*n. Is 9\/(-15) + n\/150 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/4 and 5 - (-586)\/(-24)*14\/56?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 171.999997935 - 172. What is z rounded to seven decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 7*z**2 + 3*z - 5. Suppose -i = 12 - 19. Let o be p(i). Calculate the greatest common divisor of 80 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 + 27. Suppose -8*h + c = -3*h. What is the smallest common multiple of (-29)\/(-58) + 39\/2 and h?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 597*o**2 - 34977*o - 499023.\nAnswer: -3*(o + 21)*(o + 89)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3224 + 3230. What is the remainder when 25 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -73 - (-7 + -13)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 220, 0.4, -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 7*j**2 + 48*j - 50. Give v(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -1.2. Suppose -31*k = -17*k + 70. What is the nearest to p in k, 4, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597 is divided by 86.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*y + 3 = 0, 0 = d - 4*d + 4*y + 39. Suppose -2*i - 30 = 3*i. Let f = i + d. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 104 = -11*p. Let c be 2\/8 + 62\/8. Suppose 0 = b + 4*m - c, 16 = 2*b - 3*m - 0*m. Is b greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16692*i - 16253*i - 18438 for i.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106 - 2046*l - 56 - 50 - 4463*l to the form g*l + q and give g.\nAnswer: -6509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56659 or 56658?\nAnswer: 56658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/100 and 91\/17580.\nAnswer: 87900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 4*h**2 - 3*h - 3. Let u be n(-3). Let g be ((-12)\/(-8))\/((-3)\/(-4)). Let o(y) = -4*y - g + y + 2*y. Calculate o(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.29000191 + 1.29. Round a to 7 decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1858 is divided by 9*(-40)\/(-12) - (0 - 1).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10962 and 3768858?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 624340 divided by 6572\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -34d4a4 (base 14) in base 10?\nAnswer: -1803736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6047467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -9.1. Let d be 1 + -2 - (-1 - -1). Let x be 1\/((-1 - d) + -2). Is x > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5248 - -5251. Let q(y) be the first derivative of 1\/4*y**l - 10 + 3\/8*y**2 + 0*y. Suppose q(m) = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + sqrt(13) + 1 + sqrt(13) + ((sqrt(143) + (-4*3*sqrt(143) - sqrt(143)) - sqrt(143))\/sqrt(11))**2.\nAnswer: 2*sqrt(13) + 2197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by ((-116)\/5)\/((-48)\/120)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 1:23 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2291*p - 1211*p = -12960 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5213 (base 13) in base 14?\nAnswer: 41bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85858908?\nAnswer: 2, 3, 17, 23, 29, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -566 at least -13597\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -24683299 divided by 59?\nAnswer: -418361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -704409923*z**2 - 1346890287 wrt z?\nAnswer: -1408819846*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 240, 1119, 2834, 5589, 9588, 15035, 22134?\n\"Answer: 34*d**3 + 214*d**2 - d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = m, -m - 3*m = -2*u - 14. Which is the third biggest value? (a) 1 (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/9)\/p**(-4\/7))**(-17))**9 assuming p is positive.\nAnswer: p**(-850\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -58371*i - 875559. What is r(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 91\/5 (b) -2 (c) 5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/3 - (-1)\/3)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*k + 427 = t, -4*t - 4*k + 564 = 0. What are the prime factors of t?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36735826 + 36735865.000049. Let d = o + -39. Round d to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**(2\/47)\/((v**0\/v)\/v*v)**(-31\/3))\/((v**2*v)**(1\/13))**3 assuming v is positive.\nAnswer: v**(-20288\/1833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f**2 + 360*f - 453. Give v(59).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6bb099 (base 16) to base 8\nAnswer: 32730231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62 - 76. Let a = 15357\/11 + -1395. Calculate the common denominator of a and (-17)\/((-2975)\/1490) + (-4)\/t.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 130\/354373?\nAnswer: 130\/354373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 949165266 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*g - g + 5, -3*y + 4*g = -6. Sort y, 108, 2.\nAnswer: y, 2, 108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -653.3356734 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 627 and 390649006.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1742.25437 to the nearest 10.\nAnswer: -1740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**3\/5 - 2379*z**2\/5 + 378081*z\/5 - 3209301\/5 = 0.\nAnswer: -2529, 9, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/49628 and -87\/40?\nAnswer: 496280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4305?\nAnswer: 3, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 75*k + 4. Give p(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32226.795 nanoseconds in hours?\nAnswer: 0.0000000089518875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/4 (b) 7 (c) -0.4 (d) -12.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 9*t + 3. Let c be p(9). Solve -c*h = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2 (c) 3 (d) -2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**3 + 2*w**3 + 2*w**3)*(-6*w + w**2 + 6*w + (-3*w**2 - w**2 + 5*w**2)*(-3 + 0 + 5)).\nAnswer: -3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 6. Let y be d(-6). Let t = 3 + y. Solve -z = -t*j - 10, 3*j = 4*z + 6*j - 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-210)\/16)\/7)\/(32529\/(-6196)).\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 15, -0.3, -0.5, -475\/2 in decreasing order.\nAnswer: 15, 1\/4, -0.3, -0.5, -475\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/4 (b) -1.51 (c) 0 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2. Let d = -4.7 - -5. Are h and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000111100 - 1111010001?\nAnswer: 101001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(6\/5)\/z**(1\/5))\/(z**1)**30 assuming z is positive.\nAnswer: z**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 3*d**2 - 3*d**2)*(-18 + 9 - 21).\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 31 = 25. Solve -v*l = 4 - 13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 319\nAnswer: -127.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1151602 (base 9) to base 15.\nAnswer: -c5092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -10. Let q = -8 + 2. List the prime factors of q\/(-21) + (-68)\/u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 39 = -17. Let r = 10 + j. What is the smallest common multiple of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - b - 1. Let m be l(2). Let k = m - -6. Let c be 1\/k*(-10)\/2. Solve c = -3*j - 14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6783*s**2 + 91*s + 1. Let j(r) = 9*r**2. Calculate b(j(n)).\nAnswer: -549423*n**4 + 819*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 50019, 100074, 150133, 200202, 250287, 300394, 350529?\n\"Answer: l**3 - 4*l**2 + 50060*l - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**2 - 2*g + 1. Let o be f(1). Let y be -2 - 1 - -5 - o. Which is greater: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m - 24*m + 115418 = 2*a, -5*a - 4*m = -288615. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*f + 311 - 940 = 215 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 - 28*t - 8. Determine p(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/54)\/((8\/(-36)*-2)\/(1\/24)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 57\/17938, 21, 4\/7, -2\/9?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 248059085 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2532 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -111, -142, -193, -270, -379, -526, -717?\nAnswer: -958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 9*h**3 + 133*h**2 - 19*h + 176. Calculate g(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 174585\nAnswer: 17458.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 51752493.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 140105251 to the power of 1\/3, to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**2 - 6 + 6 - 2*n**2 - 3*n**2 + 4*n**2 + (1 + 2 + 1)*(2 - 2 + 3*n**2) to the form b*n**2 + y*n + t and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f = -4*f - 7157. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b + 307a9?\nAnswer: 3078a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4034 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: Let g = 88.37 - 88. Let z = 2.17 - g. Let o = z - -3.2. Which is the second smallest value? (a) -5 (b) o (c) 0.6 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**4 - d**3\/3 + d + 15. Let p be k(1). Let f = 33 + -17. Solve -p*w + f = -0*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 4*m + 3. Let v be q(2). Let a be 6\/15*v*-5. Suppose a*w - 4*w = 3*r + 3, -3*w = 4*r + 3. Calculate the lowest common multiple of w and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -45*j**3 - 4*j**2 + 10*j + 43. What is the thousands digit of t(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43? (a) -0.0436 (b) 1\/4 (c) 5 (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 20 = -8*s + 2*f, 4*s - 4*f = 0. Let w = -13 - -45. Solve r = s*c + 5*r + w, -5*r = -c + 22 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -21, -5\/18, -19 in increasing order.\nAnswer: -21, -19, -5\/18, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 5.97.\nAnswer: -59.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 35 = 10*p. Suppose -2*q + 530 = -0*q + 4*a, -p*a = q - 250. Suppose -6*l = -q - 31. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, s: 4, p: 1, d: 3, j: 2, z: 1}. Give prob of picking 1 s and 1 z.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -281731541\/209 + 1347992. Let d = s + 112\/19. Factor -3\/11*i**3 + d*i**5 + 2\/11*i**4 + 4\/11*i + 0 - 4\/11*i**2.\nAnswer: i*(i - 1)**2*(i + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x**3 + x**2 - x + 3. Let b(u) = -u**3 + 1. Determine 3*b(l) - j(l).\nAnswer: 2*l**3 - l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2607 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (33\/370)\/((-3)\/45). Let d = 6\/37 - i. Let q = 3.08 - 0.08. What is the closest to 1 in -4, q, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27210164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.146084 + 570095.5.\nAnswer: 570094.353916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -3 (b) 8\/3 (c) 2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*g**5 + 17*g**2 + 7*g**5 - 4*g**5 + 5*g**5 wrt g.\nAnswer: 900*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-5 - -15) + 43 + (-30 - -17))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.093 * -0.4.\nAnswer: -0.0372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**6\/6 - 2*k**5\/5 + 3*k**4\/4 + 4*k**3\/3 - 2*k**2 - 31. What is h in o(h) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m**2 + 134*m - 1030. Determine q(-33).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 33.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -507.527 + 507. Round j to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*j + 2*j - 200 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-4886)\/698 - 334\/(-40))\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -11 (b) -0.2 (c) -4 (d) -1\/2 (e) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1106 + 9.0506. Let a = -8.940598 + s. What is a rounded to 5 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 17*j - 4 + 19*j to the form n*j + u and give n.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4236.4 + 4236. Let x = -1 + 4. Which is the nearest to i? (a) 2 (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 342369 and 1744.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1009275 and 3525.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11768*i + 14*z + 42 = 11767*i, 3*z = -i - 9 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**3*r**3*y + 71*p**3*r**2*y + 10*p**2*r**3*y - 4*p**2 + 2*p*r**2*y wrt p.\nAnswer: 6*r**3*y + 426*r**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 12*u**3 - 6*u**2 - 201. Let f(j) = 3*j**3 - j**2 - 1. Let w(c) = -3*f(c) + y(c). Differentiate w(d) with respect to d.\nAnswer: 9*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/61795 and -151\/4362.\nAnswer: 370770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24740520589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0. Suppose a = i + i - 10. Find the third derivative of -6*k**i + 3*k**2 + 10*k**5 + 3*k**2 wrt k.\nAnswer: 240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 973*c - 962*c - 132. Solve -c*s + 3*u + 3 = -15*s, 2*u = 5*s + 33 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2106?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -12.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3783*h - 2050. Let q(g) = 64310*g - 34810. Let k(v) = 35*j(v) - 2*q(v). Find the first derivative of k(u) wrt u.\nAnswer: 3785","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2015 - 1684.6. Let g = t + -276. Let i = g + -54. Which is the smallest value? (a) 3 (b) -5\/4 (c) i (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 divided by -56?\nAnswer: 57\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-12)\/(-18))\/(8\/(-318)) and (-2)\/4*1696\/208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 254 = 3*i - 0*o, 250 = -3*i - o. Let d be (3\/(-9))\/(7\/i). Suppose 3 = -2*s - 1, d*s = 3*m - 119. What are the prime factors of m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -734 + 2243\/3. Let r(t) = 13*t**2 - 5*t**2 + 5*t**3 - 4*t**3 - 3 - 11*t. Let v be r(-9). Is q at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuf when three letters picked without replacement from {m: 1, v: 3, u: 2, r: 2, f: 4, d: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5681673067 to the nearest integer?\nAnswer: 75377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(-171)*-153 + 30.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16999 and 1896145.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2a4d0 (base 14) to base 3\nAnswer: 12100100201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 2. Let a(g) = g + 1. Let q(t) = -3*a(t) - 2*m(t). Let b(i) = i**2 + 2*i - 2. Let u(l) = -b(l) - 2*q(l). Let h(f) = -5*f. Give u(h(k)).\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 280876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**3\/p*p)\/(p*(p\/p**7)\/p))\/(p**0*p**(1\/8)) assuming p is positive.\nAnswer: p**(71\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3380)\/(-1014)*(-1)\/12*(-8)\/(-60)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -76*r - 223. Let p be g(-3). Solve 16 = -4*a, -p*a + 16 = q - 10*a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -3\/212, 18\/5, 5.3?\nAnswer: -3\/212","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -438*r + 52*r + 17 + 84*r + 133*r + 82*r - 17 + 85*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 292 = b, 253 = -4*n - 3*b + 649. Solve -3*f = 0, c + 93*f + 4 = n*f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28110 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xubbuyyxxxux. What is prob of picking 3 x and 1 b?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15 + -31 - 2)*(-1)\/3. Solve 4*h - 8 = 3*c, 4*c = -23*h + 20*h + m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -685*v = -727*v. Solve v = -4*j + 5*j - 5*z - 8, 3*z = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 717287.7 meters to nanometers.\nAnswer: 717287700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -77773931\nAnswer: 5\/77773931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**2 + 8*b + 4. Let j(m) = -5*m**2 - 7*m - 3. Let t(v) = -4*c(v) - 3*j(v). Let g = 13 - 23. Is t(g) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6160 > -5971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 34*r - 13872. Suppose r = 22*x - 406. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19562 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55 (base 14) to base 16.\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 0*s - 214 + 0*s + 206 - 101.\nAnswer: s**2 - 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 19 = 19*v, 19900*t + 2*v + 2 = 19895*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - -1*sqrt(720))\/(sqrt(90)\/(sqrt(9)*-1)).\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11380*f*v**2 - 55911*f - 20*v**3 wrt v?\nAnswer: 22760*f*v - 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 r when two letters picked without replacement from {o: 12, r: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2507 times 0.1\nAnswer: -250.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(9*205\/(-8487)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**5\/20 + 5*m**4\/12 - m**3\/2 + 2*m. Let y be j(-5). What is the remainder when 30 is divided by 1 + 3\/3*y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9878 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -3. Suppose 0*l = -4*k - h*l + 106, -k = -5*l + 1. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**3 + 171*l**2 - 642*l - 2973. What is i(6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -29*s - 1. Let m be z(-1). Suppose -3*i = 4*l + 2, -7*i + 12*i - 5*l = 55. Factor -i*b**4 - 2*b**2 - m*b**3 - 6*b**2 - 14*b**4.\nAnswer: -4*b**2*(b + 1)*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 2. Is 246\/9 - j\/(-6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t - 37 + 22 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/2)*i*i*i*i)\/i)**(-18)\/((i\/((i**5\/i)\/i*i)*i*i)\/(i*i**(4\/3)*i)) assuming i is positive.\nAnswer: i**(-176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -3*x**2 + 0 + 5\/6*x**3 + 1\/60*x**5 + 0*x + 1\/4*x**4. Is q(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -283, -565, -847, -1129?\nAnswer: -1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 962*x - 11 + 26 - 15 + 0 as u + o*x and give o.\nAnswer: 962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4 = 4*u. Let h(l) = -2 + l + u. Let o(y) = -706*y + 355*y + 354*y. What is o(h(g))?\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18 + 268*x + 12069*x**3 - 132*x - 213*x wrt x.\nAnswer: 72414*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 644, 699, 754, 809, 864, 919?\n\"Answer: 55*p + 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 8 - 38 = 0. Let m(f) = 3 + g*f + 2*f**2 - 2 - f**2 - 2. Calculate m(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1809527652?\nAnswer: 2, 3, 619, 81203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21929856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 273\/(-1118)*(-10)\/15. Is -1 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 12:37 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**4\/12 + 5*a**3\/3 + 11*a**2\/2 - 2*a. Let f be j(-9). Let g(k) = k**2 + k. What is the units digit of g(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -182.2 - -181.8. Let m = -0.1 + 0.2. Let x = 0.3 - m. Which is the nearest to x? (a) r (b) -1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(((-137)\/411)\/(2\/(-3))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a gram in milligrams?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (1 - (7 + -4 - -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ludaullavutuvtauvaal. Give prob of sequence ulud.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 9*c**3 + c**2 - 5*c + 2. What is the tens digit of a(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77474121 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1051*h**3 + 20*h - 9. Let a(k) = 5*k - 1. Calculate -4*a(o) + t(o).\nAnswer: 1051*o**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/4)\/(((-39)\/16)\/13). Let c(g) = -g**3 + 9*g**2 - 9*g + 10. Let r be c(h). Let x = -41\/4 + 11. Is r at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97848 smaller than 97876?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3*-5815\nAnswer: 17445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 1, -1, -47, -157 in descending order.\nAnswer: 1, -1, -35, -47, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1064544\/(-75064))\/((12\/33)\/2).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025178644 rounded to 4 dps?\nAnswer: -0.0252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -10*o - 468. Give q(-46).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1911 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + (0 - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -12*u**2 + 14*u - 14. Let h(o) = -o**2 + o - 1. Let b(k) = -2*c(k) + 28*h(k). Let y be (-1)\/5 - 99\/(-45). Let f(t) = t + t - y*t - t. Give f(b(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 161838, 27?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(20\/2)*2\/(-2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 374803.7 days in minutes?\nAnswer: 539717328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 420.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m - 9 + 54 + 40 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8128 > 8128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 115158 divided by -57579\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (66 + -98)\/(0 - 3\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 944784 is divided by 300.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + ((-22)\/10)\/(50\/350). Which is bigger: -20 or v?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 323 (base 5) to base 16\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -ea2 (base 16) in base 12?\nAnswer: -2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -66.76*-3319.6\nAnswer: 221616.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-48))\/(1\/(-8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**6\/720 - 11*t**5\/120 - 19*t**4\/16 - 27*t**3\/4 + 1893*t**2. Factor v(w).\nAnswer: -(w + 3)**2*(w + 27)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5352.84 weeks in microseconds?\nAnswer: 3237397632000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 10*t**2 - 10*t - 8. Let x be z(-6). Let o = -89 - x. Let d = o + 4. Solve -3*y + d = -u, -2*u - 4*y + 1 = -5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 12012?\nAnswer: -12013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3\/3 - 26*r**2\/3 - 128*r\/3 - 136\/3 = 0. Calculate r.\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sswkkkkwywyykkwkswy. What is prob of picking 1 y and 1 s?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + 12 + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -10311?\nAnswer: -10311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*y**3 - 11068*y**2 + 16620*y.\nAnswer: -4*y*(y + 1385)*(2*y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2310 - -5359. What are the prime factors of r?\nAnswer: 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, d: 1, k: 1}. What is prob of picking 1 k and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27925, -27916, -27901, -27880?\n\"Answer: 3*u**2 - 27928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r - 6*r**4 - 21*r**2 + 19*r**2 + 3*r - 6*r**3 - 2*r**5.\nAnswer: -2*r**2*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 46 = -n, -396*n + 652*n - 376*n + 2*s + 208 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 at most as big as -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6428341 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 148 = -7*z. Calculate the greatest common divisor of z and 851.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-32801721)\/(-459) + 4\/(-5 + 12\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121220 and 4785.\nAnswer: 363660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 - 188*p - 3968. Give r(-33).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1\/3 (b) -3 (c) 3\/5 (d) -87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 22096?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 + 65. Let r(g) = -3*g + 32. Let i be r(v). Let u = -4 - -2. Which is greater: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.6 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 7*l**2 + 1814*l - 797. Calculate p(39).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 6*z**2 + 6. Let l(s) be the third derivative of 0 + 0*s**4 - 5\/6*s**3 - 2*s**2 + 0*s + 1\/120*s**6 - 1\/12*s**5. Calculate 6*l(q) + 5*y(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-45) - ((-4116)\/(-180) - (2 + -3)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s + 12. Let p = 71 - 83. Let m(o) = -o. Let y(w) = p*m(w) - 2*x(w). Is y(17) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*a**2*m**3*v + 3*a**2*m**2*v**2 + 116*a**2*m*v**2 - 10*m**3*v**2 + m**3 + v**2 + v wrt m?\nAnswer: 126*a**2*v - 60*v**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a decade in months?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1212005 and 102803?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -3*i**4\/4 + i**3\/3 - i**2\/2 + 4*i. Let r be y(1). Let x = 16 + r. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 206210 and 1870?\nAnswer: 2268310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -699479 take away -0.185?\nAnswer: -699478.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 238 = -5*r + 2*u, -4*r - 173 = -5*u. Let m = r + 203. List the prime factors of m.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6120)\/(-544)*4\/(-18)*6. Let v = 4 + -3. Sort o, v, -2\/15 in descending order.\nAnswer: v, -2\/15, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -726, -1947, -3168, -4389, -5610, -6831?\n\"Answer: -1221*y + 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**4\/7 - 74*i**3\/7 + 84*i**2 - 1296*i\/7 = 0. Calculate i.\nAnswer: 0, 4, 6, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 41. Let l be j(6). Solve 3*d + g = 5*g, -l*d = 2*g - 26 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.433 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -4*v**5\/5 + 16*v**4 + 756*v + 673. Find the first derivative of w(y) wrt y.\nAnswer: -16*y**3 + 192*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 146*b**2 + 199*b + 428. Is y(87) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*k = -15, 0*k - 5 = 5*d + k. Let v(q) be the second derivative of 0 - 3*q - 1\/6*q**3 + 3*q**2. Determine v(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 4207265*l\/3 + 2804842\/3.\nAnswer: (l - 1402421)*(3*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -889880.792849 take away 5?\nAnswer: -889885.792849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1637 + -1559. What is the remainder when 2254 is divided by w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.26 - 0.66. Which is bigger: d or -6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 68*p - 69*p + 11 = 0, 0 = 4*p - 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -31) + -5 + -6?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w + 3*w)*(6 + 14 + 8) + w + 0*w - 3*w + (2*w + 0 + 0)*(1 - 1 - 1) - 10*w + 42*w + 46*w.\nAnswer: 102*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 7*w - 2*w)*(-4 - 2*w + 4)*(1 - 2*w - 1)*(16*w**2 + 147*w - 147*w + (5*w**2 + 34 - 34)*(0 + 1 + 1)).\nAnswer: 416*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2817.63 - -2799. Let v = x - 0.37. Which is greater: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from {w: 4, p: 2, c: 2, j: 3}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 16*y**3 + 2*y**2 - 4*y + 2. Let n(a) = -17*a**3 - 3*a**2 + 3*a - 5. Let v(u) = 3*n(u) + 4*q(u). Calculate v(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 24\/23, -0.5, 4\/7 in decreasing order.\nAnswer: 3, 24\/23, 4\/7, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**4 + 23*i**2\/2 - 7. Find the second derivative of f(m) wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**4)**(-7\/3))**(-18) assuming k is positive.\nAnswer: k**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccckckccccc. What is prob of picking 4 c?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/12 and 67\/388.\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 26. Suppose -34 = q*z - 4*z. Calculate the remainder when z is divided by ((-3)\/2)\/(1\/(-12)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1079 = 87*m - 2732 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 427*d**5*n + d**4 + 5329*d**3*n - 75*d**2*n - 23484*n wrt d?\nAnswer: 25620*d**2*n + 24*d + 31974*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66123.\nAnswer: 3, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1699d + 823?\nAnswer: 173c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 323312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1016.72 and -1058.6?\nAnswer: -1076299.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 38698946\nAnswer: -270892622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*u = 5*w - 109*u, 0 = -5*w - 5*u + 50 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*r + 138 - 247 = 311 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -109355\/312 bigger than -351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 915 = -3*p, 0*o - 2*o + 355 = -p. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-44)\/(-55)*((-38)\/12 - -4). What is the nearest to l in 4, -5, -1.2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00821582 to five decimal places.\nAnswer: -0.00822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h = 0. Suppose 5*p - 8 + 3 = h. Suppose m = 3*j - 8, -2*j + 5*m = -0*j - p. Solve 0*t - j = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 3*a**3 - 1 + 4*a**3 + 2*a to the form b*a + o*a**2 + n + p*a**3 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.16 + 1.84. Sort -0.5, s, 0.5 in decreasing order.\nAnswer: s, 0.5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12984600 rounded to the nearest 100000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*r - r - 28*r)*(3*r**3 + 0*r + 0*r) to s*r**4 + z*r**3 + h*r**2 + g*r + p and give s.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/15)\/(((-79695)\/(-550))\/23).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 6*b**2 + b + 60. Let p be o(-7). Solve -3*u + p*d = -1, -17 = 5*u - 3*d + d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*k - 34*k - 3055*k**2 + 107*k**2 + 10*k + 4888*k**3 wrt k.\nAnswer: 29328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 42*b - 37*b - 815543, 0 = 4*j - 4*b - 1087348. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -0.5447, -0.1 in increasing order.\nAnswer: -4, -2, -0.5447, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42057303659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -16 + 1. Solve -3*f = -5*z + 5, 4*z + k*f - 7*f - 4 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192 - -0.02.\nAnswer: 192.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**4\/4 + 7*b**3\/3 - 7*b + 40. Determine p(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2*a + 0 + 3 - 3 + 2*a + (4 + 1 - 3)*(a - 1 + 1) - 2*a + 2*a - a + (0*a + 2*a - a)*(-7 + 1 + 0) - 61*a + 39*a - 21*a in the form m*a + n and give m.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13\/4 of a day?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 9*t + 15. Let q be u(2). Let c(h) = 3*h**2 + h - 1. Give c(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -57*l - 3. Suppose -36*d + 22*d = -f - 11*d, 0 = -4*d + 4. Let c(p) = 400*p + 20. What is f*c(j) + 20*x(j)?\nAnswer: 60*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 12:36 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 24\/11*j**2 - 12\/11*j**3 + 6\/11 + 2\/11*j**4 - 20\/11*j = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 18*u. Let v(g) = 1401*g. What is v(f(p))?\nAnswer: 25218*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*u + 23, -2*u + 50 = 5*w - 5*u. Suppose 4*h = 18*h + 19*h - 99. Solve h*x + 5 = 3*b + 2, x + 5*b = -w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**3 + 24*m**2 + 14. Let y be z(-8). Calculate the common denominator of 15653\/(-11088) + 8\/y and 89\/40.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 36*x - 13. What is y(-36)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -239 - -235. Put v, 39\/2, -11, -0.2 in ascending order.\nAnswer: -11, v, -0.2, 39\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8840 and 8?\nAnswer: 8840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 7*b**3 + 3*b**3.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**5\/5 + 541*s**4\/4 + 422*s + 342. What is the first derivative of y(i) wrt i?\nAnswer: 4*i**3 + 1623*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (981*a - 520*a - 530*a)*(1 - 1 - 3)*(-5 + 3 + 4) in the form d*a + t and give d.\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16 + -10 + 11)*(-4)\/5. Let h be (6\/x)\/((-17283)\/28). Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -407, -1934, -4589, -8378, -13307?\n\"Answer: -k**3 - 558*k**2 + 154*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/22 + (-172)\/22. Let y = f + 12. Suppose 5*d + 897 = 4*h, -2*d = -y*h + 2*d + 896. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 11:39 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83*l + 65*l + 72 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1013 - -989. Let z = 0.06 - -0.94. Which is smaller: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18332, 146802, 495512, 1174586, 2294148, 3964322?\n\"Answer: 18354*i**3 - 4*i**2 + 4*i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50447.9 millilitres to litres.\nAnswer: 50.4479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(6\/(-8))\/(45\/48).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, q: 2, r: 7}. What is prob of picking 2 r and 1 w?\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 5 - 2. Let y be -19500003 + (4 - (a - -2)\/3). What is y rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one halves of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2793)\/266*((-120)\/35)\/(-2)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325033885?\nAnswer: 5, 11, 29, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*s - 28, -4*s = 2*g + 14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.4 times -31?\nAnswer: -1531.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h = -4. Let m be 2\/h - 7\/(-2). Solve q - 2 = 0, -3*q + 12 + m = -2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 12:24 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/175 and -33\/498505?\nAnswer: 2492525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 - 11)*(-3)\/18*-8 + 4012. Calculate the highest common factor of 96 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69066, -552688, -1865366, -4421622, -8635978?\nAnswer: -14922956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62.956 - -63. Let j = 0.144 - s. Let r = -112\/3 + 793\/21. What is the nearest to j in r, -0.5, 2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*d**5*y + 14*d**3*f*y + 2*d**3*y - 3*d**2 - d*f*y - 4*y - 1 wrt d?\nAnswer: 540*d**2*y + 84*f*y + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 11*k + 6*k)*(-2*k**2 + 1 - 1)*(-2 + 2 - 2).\nAnswer: 48*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*q**2 + 29*q**2 + 6*q**2 + (-q + 0*q + 2*q)*(2*q + 3*q - 4*q) - 2*q**2 + 6 - 4 - q**2 + (q**2 + 3*q**2 - 3*q**2)*(-4 + 3 - 1) - q**2 - 10*q**2 + 5*q**2.\nAnswer: 32*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(18)\/(sqrt(18)\/sqrt(2) + sqrt(9)))**2*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 194965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 9:54 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1763283169?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1377 + 100*v + 1377 + 2*v**2 - v**2 to the form b*v + q + z*v**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 13*i + 9 = 10*i, 0 = -2*n + 2*i + 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1666 or 5656?\nAnswer: 1666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*m - 166*m + 328*m - 2 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -165*i - 1597. What is the remainder when (-150 + -1)*(0 + -1) is divided by u(-10)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - -1000?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 66131 + -64?\nAnswer: 66056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - 0 - (-455)\/(-143). Let l = 3548.2 + -3548. Is l >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -271574 bigger than -271574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1360 and 39355.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32479 is divided by 5412.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - 49*s + 15*s.\nAnswer: -37*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - v + 13, n - 4*v - 44 = -3*n. Let a = 7 - n. Solve 2 = l - a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5370 and 1052520?\nAnswer: 1052520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*s = -111*s + 12*s - 155 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77601523741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -37428\/4117 smaller than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**6\/240 + q**5\/160 - q**4\/24 - q**3\/12 - 52*q - 1. What is g in u(g) = 0?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 512 - 818 - o**2 + 306 - 2*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12636 and 339924?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 + 0.77. Let x = -4.2 - l. Which is the closest to -2? (a) -3\/4 (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 89, 76, 63, 50, 37, 24?\n\"Answer: -13*c + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**2 + 0*z**2 + 2*z**2 + (-2*z + 1 - 1)*(-z + 4*z - 2*z) - 10835*z**2 + 8788*z**2 - 13523*z**2 + 11*z - 11*z.\nAnswer: -15574*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -16. Let x be (24 + 0\/3)\/q. Let d be (x\/9)\/(2\/(-3)). Solve 0 = -l - 0*l + 5*n - 7, 0 = -4*l + d*n + 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (33\/2)\/(17\/2754). Suppose -957 + t = 13*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 964 and 67.74784.\nAnswer: 1031.74784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 6*h, 7 = 3*t + 2*h - 2. Solve 3*z = -t*a - 24, z - 2*a - 3*a - 16 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuatyaytyytau. What is prob of sequence auty?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 1 - 0. Let u(z) = 25*z + 2. Let r be u(l). Let n = r + 33. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -8\/5, 1\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 3*g + 9. Let w be o(6). Let f be w - (6\/(-10))\/(3\/15). Let k be (2\/f)\/((-1)\/12). Solve -k*u + 0*u + 8 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.5, -2\/5, 2\/5, 0.0568.\nAnswer: -5, -0.5, -2\/5, 0.0568, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 5, -t = 4*t - 5*y + 40. What is the lowest common multiple of 2 and 7 - t\/(27\/(-6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.35 + -0.05. Let s be (80\/12)\/(-5) + 2. What is the third biggest value in -1, d, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 23*s**2 + 20*s + 51. Let o be m(24). Calculate the common denominator of 137\/12 and (1 + (-408)\/20)\/((-162)\/o).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 38. Suppose 3*w - 3 = 4*m - 3*m, 0 = -r*w - m + 2. Which is the closest to w? (a) 0.5 (b) -0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -28, -31, -2 in ascending order.\nAnswer: -37, -31, -28, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-345036942\nAnswer: -345036942.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/p**(12\/13))\/p**13*(p**(-16))**(-15) assuming p is positive.\nAnswer: p**(2978\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.28676 (b) 2.1 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/4 - 2\/4. Suppose -2*k - q + 0*k - 2*k + 2*k - k**2 = 0. What is k?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sksq when four letters picked without replacement from sqkqskssk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3*6\/(-108))\/((-73)\/21243*(-4)\/8)\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -3. Let g(w) = w**3 - 8*w**2 - 8*w - 6. Let m be g(9). Let o be 2*m\/(-6)*-3. Put -3\/5, o, b in decreasing order.\nAnswer: b, o, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-680)\/(-48) + -11 - ((-3)\/(-2) + 0).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1, -0.8, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/21*((-16)\/16)\/((-30)\/306).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/2))**(3\/16)*(w\/w**(-4)*w)\/(w**0*w*w) assuming w is positive.\nAnswer: w**(125\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-9) - 6\/27. Suppose -k*x - 3*m + 11 = -1, -4 = x - m. Suppose 5*t - 5*u + 15 = 0, 0*t - 5*u = 3*t - 7. Is t smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/22 and 19299\/(-2646) - (-2)\/9.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76.6 + -76.3. Which is the nearest to -1? (a) p (b) 2\/5 (c) 2\/3 (d) -143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 9*o + 87. Let x be w(-8). Let v be (6\/x)\/(56\/40). Which is the third biggest value? (a) v (b) -3 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14459 is divided by 73?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130971, 130970, 130969, 130968, 130967?\nAnswer: 130966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10598038.\nAnswer: 2, 11, 17, 43, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 21 + 7 = -3*b, 5*b - 4*m = 2. Suppose 2*u + b*u + 2*k = 0, u + 4*k = 0. Find the third derivative of 11*a**3 + 0*a - 3*a**2 + u*a + 5*a**3 wrt a.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -308\/338185?\nAnswer: -308\/338185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.2, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -121360\/9 or -13484?\nAnswer: -13484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/1 + (-5 - -2). Suppose 14 = 3*g + 4*q + q, -g = -3*q. What is the units digit of -2*(-2)\/l + g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 3*s + 2*s)*(2*s - 2*s + 6*s)*(0 - 1 + 2).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -50*s + 132. Let l be w(3). Let h = 13 + -31. What is the units digit of l*(2 - (-84)\/h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**2. Let v(n) be the third derivative of n**6\/240 - n**4\/24 - 2*n**2. Let f(o) be the second derivative of v(o). Calculate w(f(y)).\nAnswer: -54*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/13 - 154*o**3\/13 - 972*o**2\/13 - 152*o - 1328\/13.\nAnswer: 2*(o - 83)*(o + 2)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*m - 176796 = -145696 for m.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332613050 is divided by 159.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 4 - (0 - -1 - (-46 + 60))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336651*j**2 - 336652*j**2 - 1182*j + 404*j.\nAnswer: -j**2 - 778*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 30*t**2 - 3294*t + 3645. Determine q(-45).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80 - 3 - (-3 + 13 + 10 + -13) - -8.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -396, -776, -1146, -1506, -1856?\nAnswer: -2196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -52899\/1108 bigger than -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 42 + 138 = 0. Calculate the lowest common multiple of 94\/8 + 6\/x and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 1. Let l(w) = -13*w - 35. Let u(f) be the third derivative of -3*f**4\/8 - 4*f**3 - 81*f**2. Let m(i) = 5*l(i) - 7*u(i). Calculate -m(v) - 4*t(v).\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 7*y**2 - 9*y + 5. Let g be a(-5). Let h(z) be the first derivative of g*z + 3\/2*z**2 + 3 - z**3. Find the second derivative of h(i) wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.108492 to the nearest integer.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 13 + -1 - 0. Let j be 3\/((-9)\/6 + 0). Let z be (0 - -1) + (-4)\/j. Solve z = -2*s + o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y. Let z(v) = -v**2 + 71*v + 20. Determine z(a(l)).\nAnswer: -25*l**2 - 355*l + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*14\/(-364)*12.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 18*f**2 - 359*f + 29. Let j be p(-30). Sort -14, j, -2 in ascending order.\nAnswer: -14, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1924*d + 3797*d - 2279*d to the form j*d + y and give j.\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -33 + 58 + 20 - 7*x. Let y be v(6). Solve 4*g - 21 = -m - g, -y*g + 15 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 3*p - 7*p - 556, -p = -3*v + 415. Let s = v - 42. Suppose 7*l = -l + s. Solve 3*j - l + 0 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 + 12*u + 67. Give s(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17680709, 17680710, 17680711, 17680712, 17680713?\n\"Answer: j + 17680708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -114 + 230 - 117 + 8*i + 2*i. Determine z(4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(133)*4 + sqrt(133))\/((sqrt(14) + sqrt(14) + (sqrt(14) - (sqrt(56)\/sqrt(4) - sqrt(14))))\/sqrt(2)).\nAnswer: -23*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69762 and 27?\nAnswer: 627858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -533*b**6\/30 + 47*b**3\/6 - b**2\/2 - 694*b. Find the second derivative of r(v) wrt v.\nAnswer: -6396*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**5\/12 + 26*v**2 + 55. Let o(p) be the second derivative of z(p). Let w(s) = 2*s**2 - 18*s + 2*s**2 + 18*s. Give o(w(a)).\nAnswer: -80*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000060760988 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1001434 + -2?\nAnswer: 1001432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 958*s + 5786. Calculate o(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqscf. Give prob of sequence ce.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2159?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/9477*-13*(-6)\/2.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25, 44, 57, 64, 65, 60, 49?\n\"Answer: -3*o**2 + 28*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.38 - 7.4. Let c = f + 0.02. Let v = 1.2 + -0.2. What is the smallest value in 2\/15, v, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17872717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89 - -167. Let u = 84 - f. Let k(c) = c + 11. Let r(p) = -p - 6. Determine u*k(q) + 11*r(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*c + 110 + 156 = 0, 2*x - 170 = c. Calculate the remainder when x is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2, 723, 2680, 6491, 12774?\n\"Answer: 103*q**3 - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 68*m + 842. Calculate d(-53).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17487522 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0608985 and -1140.\nAnswer: 69.42429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20494139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 2 in ascending order.\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 + -0.4. Let w(y) = y**2 - 5*y. Let b be w(5). Suppose -c = -2*h + 5, -2*c + 2*h + b = 4. Is c at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46603185?\nAnswer: 3, 5, 43, 72253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 14*q - 10*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + 3*l + 0*l + (1 + 1 + 0)*(-3*l - 4*l + 3*l) + 79*l - 10*l + 2*l as f + c*l and give c.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -109, -129, -133, -115, -69, 11?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -15)*(-42 + 43) + -116?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1127*p**4*u - 4*p*u - 10*p - u + 1 wrt p?\nAnswer: 13524*p**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -92 - -115. What is the greatest common divisor of 115 and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-8) + 6)*8\/(-33)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 22, 33, -1\/2, 10\/3, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 276 and 216.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + j. Suppose y + 3*m - 6*m - 6 = 0, 2*y + 3*m = 3. Suppose w + 10 = -2*v, -v - y*v - 26 = 5*w. Let a(t) = -5*t**2 + 4*t. What is v*x(h) + a(h)?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 l, and 1 h when three letters picked without replacement from {s: 2, h: 4, l: 2, o: 2, k: 1, z: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 24 = 5*r, 74*r + 2*z + 12 = 73*r. Let o(b) be the second derivative of -27\/2*b**2 - 13\/4*b**4 - 3*b + 0*b**3 + r. Differentiate o(k) wrt k.\nAnswer: -78*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*o + 20, 3*o + 10 = 3*u + 25. Let i = 217 + -2820\/13. Which is smaller: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 4*z + 84, -o - 43943 + 43954 = -z for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (30 + 4)) + 4 + (11 - 10).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82 - 75. Let h be (-2 - (-15)\/9)*(i + -4). Let b be (-8 - -10 - (3 + h))\/(-2). Solve b = 4*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1, -25, -77, -157, -265, -401?\n\"Answer: -14*h**2 + 18*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-2)*(170\/(-20))\/(-17)*2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(1\/2)))**(-6\/13)\/(n**(-2\/3)*n**3*n))**(7\/4) assuming n is positive.\nAnswer: n**(-973\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -5, -3, 1, 113 in ascending order.\nAnswer: -5, -3, 1, 14, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.4 and 82322.\nAnswer: -279894.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - 2*w + 2*w)*(-16 + 10 - 12)*(3*w - 4*w + 0*w)*(2 - 1 - 3).\nAnswer: 144*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 15669*m + 248. Let t be r(10). Suppose -10*i + t = -181152. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 209059455 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/59748 or 0?\nAnswer: -1\/59748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 318901957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12408 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -7*x + 2*x + v, 5*v + 20 = 0. Suppose -10 = -5*h + x. Let z(a) = 4*a - 2. Let b(l) = -l + 1. Let c(d) = 10*b(d) + 3*z(d). What is c(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-1))\/(2\/38). Let w(i) = -i**3 + 8*i**2 - 8*i + 11. Let n be w(8). Let l = n - q. Calculate the remainder when l is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1216) + sqrt(1216) + sqrt(1216)*-1)**2*2 + 4 - (0 + -3 + (sqrt(19) - (-1 + sqrt(76)))**2 + 3).\nAnswer: 2*sqrt(19) + 2421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 35*y**3 - 12*y**2 - 6*y + 1. Let g(l) = l**3 - 2*l**2 - l - 1. Give c(m) - 6*g(m).\nAnswer: 29*m**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 21.011. Let i = -0.401 + a. Round i to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5))**35)**(1\/7) assuming y is positive.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 0*w + 4*t = 7, -w = 2*t - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 16219951 - 16219951 - 2517*n as k + m*n and give m.\nAnswer: -2517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eje when three letters picked without replacement from {j: 1, i: 1, x: 4, g: 1, h: 2, e: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r + 7 - 24*r - 1 + 3. Let j(b) = b + 1. Let f(i) = -2*j(i) - p(i). What is the first derivative of f(t) wrt t?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -6*c. Suppose -26*n + 10792 - 1042 = c. Is n a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**4\/4 - 112*y. Let t(n) be the third derivative of -n**4\/12 + n**2. Determine t(x(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -426\/20485 or 0?\nAnswer: -426\/20485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 6. Let w(i) = 2 + 0*i - q*i - 1 + 0*i. Is w(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 4\/15, 263, -13 in ascending order.\nAnswer: -13, 1\/4, 4\/15, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyyh when four letters picked without replacement from iyyhhhhihhhhyhhhhyy?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 2*z - 9. Let f be q(0). Calculate the remainder when 3\/f + 448\/12 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3*u**3 + 5 - 4.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = j + 4*s - 0*s, -3*s - 1 = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-28))\/(26\/91)*-4. What is the second biggest value in q, 3, 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3350 - 3347. Solve 0 = -31*n + 27*n + 20, 30 = -3*w + c*n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 - 11344\/(-80) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*p - 7*p + 33*p - 8*p - 3 + 24*p.\nAnswer: 71*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**3 + 41*f**2 - 77*f + 348. What is l(17)?\nAnswer: -3851","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14236 - 14236 - 2153*r)*(-r**2 + 3 - 3) + 0*r**3 - 3*r**3 + 0*r**3.\nAnswer: 2150*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -353*y**4 + 10*y + 15*y**5 + 353*y**4 wrt y?\nAnswer: 300*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 3*r + 4. Let h be l(3). Suppose 0 - 2 = -2*q - 3*w, -q + w = h. Let k be q\/(2\/(-3)) - -2. Sort 2, k, -1 in ascending order.\nAnswer: -1, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 642.5848g in kilograms?\nAnswer: 0.6425848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*j - 9 = 215*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 g when four letters picked without replacement from gggcrrrggiggccgirgg.\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25, -43, -61?\n\"Answer: -18*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*r = -129*r + 4816 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28699 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 43 = -c + 25, -d = -c + 56. What is the remainder when c is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krkdrkk. Give prob of picking 3 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - t**2 + 3*t - 11. Let q be 0\/((-10)\/(45\/9)). What is i(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275414.\nAnswer: 2, 137707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 3:08 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 49*a**2 - 51*a - 65. Calculate y(-50).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 4:09 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17690, 17231, 16770, 16307?\nAnswer: 15842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8220*u**3 + 9387*u**2 - 271062045*u wrt u?\nAnswer: -49320*u + 18774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*8\/(-252)*(-14)\/12. Let z(y) = -y**3 + 10*y**2 - 7*y - 8. Let q be z(9). Which is the smallest value? (a) q (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-140)\/(-800)*30)\/(6\/(6*-6))\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -236 greater than -236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 7. Suppose 5*x + 10 = -0. Let a(m) = -3*m**3 + m. Let n(l) = 8*l - 4*l - 2 + 2 - 19*l**2 + 18*l**2 - 10*l**3. What is w*a(g) + x*n(g)?\nAnswer: -g**3 + 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 2\/206903 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -332, -702, -1072, -1442, -1812?\n\"Answer: -370*w + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 * -176.5.\nAnswer: 4412.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 785668849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2. Let h(y) be the second derivative of 0*y**3 - 13*y - 3*y**2 + 0 + 1\/6*y**4. Calculate l(h(k)).\nAnswer: -8*k**4 + 48*k**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9657*r - 9751*r = 376 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - -5) + 4 + -37 + 15 + 12?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -4, 90, -9, 0, 1 in decreasing order.\nAnswer: 90, 1, 0, -4, -9, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbf when three letters picked without replacement from hbbfsbfhssfsfbph.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p + 11*p**2 - 5*p + p**3 - 2*p + 5*p + 1 to k + w*p**3 + v*p + u*p**2 and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -749 + 1504 - 755 + 1218*i**3.\nAnswer: 1218*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 5:30 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 35*x - 114. Let v be r(38). Solve 4*l + m = -m, v = m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -209, -283, -357, -431, -505?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-275920)\/(-6)*180\/80)\/2.\nAnswer: 3, 5, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8\/5 (b) 29 (c) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*a**3 - 73 - 42*a**3 + 19*a**3 - 131 as z*a**2 + h*a**3 + w*a + l and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1643344, -1643334, -1643324, -1643314, -1643304, -1643294?\n\"Answer: 10*b - 1643354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/6)*p)\/((p*p\/p**(3\/4))\/p))\/((p\/(p\/(p\/(p\/p**(-7\/3)*p)*p)))\/(((p**(2\/7)*p)\/p)\/p)) assuming p is positive.\nAnswer: p**(71\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -71\/3. Let v = -5\/9 + h. What is the second biggest value in -3, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10221 - -121121122121?\nAnswer: 121121111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/13 + 408*a\/13 - 2376\/13.\nAnswer: -2*(a - 198)*(a - 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 + 17*d**2 - 6*d + 9. Let l be r(8). Let i = 23 - l. Let z(k) = -12*k - 4. What is the units digit of z(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - 2\/(-1) - -3. Suppose -2*l = -l - 17. Let k = l - x. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5\/3 + -2. Let s = 378 + -374.38. Let p = -0.62 + s. Put -5, c, p in decreasing order.\nAnswer: p, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 166*s - 96236 = -168*s, -3*s + 96232 = 4*d. What is the ten thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 442808*t**2 - 286*t - 145.\nAnswer: 885616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 104\/24 + (-1)\/3. Suppose r - 63 = y*w - 5*w, -r + 335 = 5*w. Suppose 3*a - w = a. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 + 17 - 2 - y**2 + 10 + (-5*y + 0*y + y)*(2*y - 2*y + 2*y).\nAnswer: -9*y**2 + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 721377 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) -0.3 (c) -1\/7 (d) 0.143 (e) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.1 (b) 0.34 (c) -4\/3 (d) -2 (e) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2478 - 2357 = -4*l, -4*l - 131 = -m for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2421853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxxxsxxxxsxx. What is prob of sequence xs?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (57\/19)\/(6\/(-4)). Sort -0.4, w, 3.\nAnswer: w, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31475100 is divided by 329?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21001\/((-6 - 3168\/(-451)) + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 18 - f**2)*(131*f + 213*f - 85*f + 288*f) in the form m*f + w*f**2 + h + t*f**3 and give t.\nAnswer: -547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -8*g - 1. Let m(l) = l**3 + 3*l**2 + l - 3. Let f be m(-3). Let h = f - -5. List the prime factors of b(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2.2. Sort -0.4, u, 0.3 in ascending order.\nAnswer: -0.4, u, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*r + 2*r. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((2 + (-4)\/12)*12\/(-30))\/(-2 + 0). Let v = -2 - -1. Put n, -1\/10, v, 0.032 in increasing order.\nAnswer: v, -1\/10, 0.032, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2399676 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: Subtract 72.5 from -1484819.\nAnswer: -1484891.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 10*q**2 + 8*q - 10. Let j be w(2). Suppose -43*r + j*r = 12. Solve 5*b + 2 = r*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, 279 in ascending order.\nAnswer: -1, 10, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 12. Let y(u) = 269*u**3 + u**2 + 2*u + 2. Let f be y(-1). Is f*(4\/(-8))\/(j*2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven halves of a millisecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 766 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-90))\/((-1)\/(-33))*(-6)\/1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10))\/((-96)\/16320).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 6*o**2 + 31*o - 166. Let g be s(6). Solve 2*d + 2*i + 2*i = 10, -g = -4*d + i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00024991 rounded to five decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 2*i**3\/3 - 3*i**2 - 17*i - 8. What is the units digit of h(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m = -30. Suppose 0 = 2*y - 2*o + 128, -4*y - 300 = 3*o - 30. Let c = y - -94. Calculate the remainder when c is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -122 + 254. Suppose 4*p + 2*g = g + 9, p = g + 6. Suppose -t - 5*s = p*t - 87, -4*t + 4*s + q = 0. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 25 - 17)*(b**2 - b**2 + b**2)*(2*b**2 + 3*b**2 - 7*b**2) in the form p*b**2 + a + y*b + o*b**3 + c*b**4 and give c.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + m**2 - 2*m**2)*((3 - 3 - 1)*(-23*m**2 + 23*m**2 + 3*m**3) + (1 + 4 - 2)*(-2*m**3 + 0*m**3 + m**3)).\nAnswer: -12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.042939922 to 6 dps.\nAnswer: -0.04294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f + 70. Give y(11).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - -5. What is the remainder when 10*(-8)\/(-360) + (-1641)\/(-27) is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k**3*y + k**3 + 365*k**2*r*y + 5*k**2*r + 7*k**2 - k*r*y + 3*k*r - 4*k*y + 205*r wrt y?\nAnswer: k**3 + 365*k**2*r - k*r - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22873 or -22860?\nAnswer: -22873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c**(3\/8)*c)*c**(-6)*c*c*c*c**10*c*(c*c\/(c\/(c\/c**0)*c))\/c assuming c is positive.\nAnswer: c**(69\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13668353?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1331) - 3*sqrt(1331))*-3 - (sqrt(1331)*3*3 - sqrt(1331))) + -1)**2.\nAnswer: 44*sqrt(11) + 5325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0161231 minus 0.094032?\nAnswer: -0.1101551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/250 and 149\/150?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1893 times 7?\nAnswer: 1.3251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.49 - 0.01. Suppose -y - 5 = -3*i + 5*i, 11 = -y - 4*i. Is y at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 387 + -386.7. Sort 1.9, 0.5, y in decreasing order.\nAnswer: 1.9, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-10)\/u*u)\/u)\/u**0)\/((u*u*u**3)\/((u\/(u*u\/(u\/(u\/(u\/((u\/(u**12\/u))\/u*u))))))\/u*u*u*u*u)) assuming u is positive.\nAnswer: u**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**2 + 3*t. Give r(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2919*t - 2915*t + 10*x + 12, -x + 34 = -4*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -463 + 463. Which is the closest to q? (a) 0 (b) -2 (c) -0.1 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -2312\nAnswer: 2312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2, 3*k - 22 = 2*x + 2*x. Suppose -9*t + 6*t + 11 = 4*c, 0 = -5*c - 3*t + k. Let y(u) = -13*u**2 - u. What is y(c)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -793123 times 3?\nAnswer: -2379369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15659, -15576, -15495, -15416?\nAnswer: -15339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyllyuyubyblyblyyu. What is prob of sequence ubbl?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 138*l**2 + 974*l**2 - 68*l**2 + 15*l**2 + 270*l**2 to the form c + g*l**2 + u*l and give g.\nAnswer: 1329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - f**3 - 6 - 8*f**2 - 10 - 10*f + 9. Determine c(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/15 + 1488*f - 4151520.\nAnswer: -2*(f - 5580)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 + 46*j + 88. Give g(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*k + 94 = -4*k, 2*k = -14. What is the remainder when 1830 is divided by p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-2) + 0 + 1. Let w(u) = u**3 + 27*u**2 + 26*u + 2. Let x be w(-26). Suppose p*b + z = -x*z + 25, 5*b = 2*z. Let o(l) = 4*l - 2. What is o(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r**4 + 14*r**2 + 299*r - 984131 with respect to r.\nAnswer: -8*r**3 + 28*r + 299","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 13. Suppose -3*c + m + 2 + 1 = 0, -8 = 2*c - 4*m. Find a, given that 3*a**c + i*a**3 - 3*a + 1 - 3*a**3 + 0 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 36 = -4*f + 40, -4*f - 4*q = -72. Suppose -3*t - f = -7*t. Suppose 0 = -t*m + 2*d + 45, 10*m = 7*m - 2*d + 27. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -170*o**2 - 154?\nAnswer: -340*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*x**2 + 113*x**2 - 235*x**2.\nAnswer: -17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*g - 10 = 0, -4 = -m + 5*g + 2. Let q(r) = -4*r**2 - 6*r. Let b = 1 + 2. Let x(t) = -7*t**2 - 11*t - 1. Let u(a) = b*x(a) - 5*q(a). Give u(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -14*n**3 + 9*n**2 - 35*n + 69. Is x(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23656847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12173853100 rounded to the nearest 1000000?\nAnswer: -12174000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + (-3*sqrt(1539) + 0 + -2 - (sqrt(1539)*-1 + -2 - (0 + sqrt(1539))*3)))*-1.\nAnswer: -9*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1014 + 64728*c + 64728*c - 129454*c.\nAnswer: 2*c + 1014","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 2 = -x. Let a = 175 + -103. Suppose x*i = a - 12. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5 - 6)\/((-1)\/29)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/2 - -1 - -7)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.468 - -0.304. Let j = n - 0.236. Let u = -17 + 12. Which is the second smallest value? (a) 0.1 (b) j (c) -3 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7337 + -592.\nAnswer: -7929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - l + l)*(5*l**3 - 17*l**3 + 10*l**3 + 2*l - 12*l + 8*l**3 + 12*l + (2*l**2 + 3*l**2 - 3*l**2)*(-l + 2 - 2)).\nAnswer: -8*l**4 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 6285.\nAnswer: -628.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 5. Let u = -24 + 23.972. Let p = u - -0.528. Which is the third biggest value? (a) -0.3 (b) o (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (1202\/52 - ((-176)\/16 - -25))?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32020 + 4*l**2 + 32020.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319 - 1284*x + 319.\nAnswer: -1284*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + sqrt(175) + -1.\nAnswer: -3 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 68, -191, 1623 in ascending order.\nAnswer: -191, -1, 68, 1623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide -93*((-28)\/(-21))\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x + 3. Let i(c) = -17*c - 7. Let s = 31 - 25. What is s*i(n) + 13*y(n)?\nAnswer: 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51 and 136.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b - 6. Let w be n(-4). Let l = 7 - w. Suppose -5*p = -38*x + 36*x + 12, -4*p + 2*x - 12 = 0. Solve -l*v + 5*h = p, -4*v = h + 32 - 7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 3168000?\nAnswer: 3168000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*n + 96 - 316. What is the remainder when n is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3393 = 36*l - 891. Calculate the greatest common factor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 3*x + 11, 25 = -98*x + 93*x - 3*i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -180995*d - 904975. Calculate v(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(3\/1)*(-15)\/(-15).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(7\/3)*f\/(f*f*(f\/f**(-11))\/f*f))\/(f*f**2\/f)**(5\/11))**9 assuming f is positive.\nAnswer: f**(-1509\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 7*r**2 - 6*r - 1. Let l(v) = 15*v - 429. Let h be l(29). What is q(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 771 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71151075 and 2875.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012334 rounded to four dps?\nAnswer: -0.0123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - 0.1. Let f = -0.3 + 0.2. Let r = f - p. Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220.223913 times -0.3\nAnswer: 66.0671739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 7*n + 6. Suppose q - 3*u - 11 = 0, -5*u - 9 = -0*q + 3*q. Suppose 2*g - q - 6 = 0. Give i(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/21, 1.1, -0.3 in ascending order.\nAnswer: -3, -0.3, -2\/21, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**11\/g)\/g**(-1\/9))\/(g**6\/(g*g**12)))**(3\/29) assuming g is positive.\nAnswer: g**(154\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a factor of 446948554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 4*t**2 + t**2)*(57*t + 257 - 257)*(2 - 3 - 1).\nAnswer: 228*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3763909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**3 - 4*q**2 - 2*q. Let d(w) be the second derivative of -w**5\/10 + w**4\/4 + w**3\/6 + 24*w. Determine 4*d(b) + 3*n(b).\nAnswer: b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 5147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9\/67 + 48\/1139. Is s <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 39. Let t be (4*8)\/(6\/6 - g). Which is greater: t or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 + 2583 - 2*l**2 - 2635. Let t(c) = -2*c**2. Determine j(t(s)).\nAnswer: 8*s**4 - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + s = 4*o + 116850 - 116856, -4*s + 0 = -5*o - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 129 = 11. Does 20 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 at least as big as 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 262055?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8867 (base 14) to base 5\nAnswer: -1223421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.108 - 112.892. Let n = -80 - v. Let m = -32.04 + n. What is m rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15316*r**6 + 2*r**4 - 5*r**3 + 159*r**2 + 237646 wrt r.\nAnswer: -1837920*r**3 + 48*r - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 146 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**5 - 41*a**4 - 311*a**3 - 279*a**2 - 2*a. Let f(i) = -i**5 + 4*i**3 - i. Let g(d) = 10*f(d) - 5*s(d). Suppose g(p) = 0. Calculate p.\nAnswer: -31, -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*j - 8. Let p = 3 - 2. Let s(z) = -23*z**2 - 193*z - 72. Let o be s(-8). Which is the closest to p? (a) o (b) -0.4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4419635411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 18*g + 51 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - (-91)\/21) + -1. Let c = 5 + -7. What is the nearest to c in -3\/2, -3, x?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - 39) + 38 - 4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 8 = 40. Suppose -25 = 5*f, 9*j - g*j + 2*f - 456 = 0. List the prime factors of j.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3078 divided by 19.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24963\/(-314)*140\/(-6). Which is greater: 1854 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234493 and 549745.\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/4959 and -16\/129561.\nAnswer: 11271807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 15668 = 2*g, -5*h - 23457 = -3*g - 2*h. Does 52 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from {d: 1, m: 4, x: 7, s: 1}?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288415 is divided by 95595?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -514055430 (base 6) to base 5\nAnswer: -4232403422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -2*j**7\/105 + 5*j**6 - 5773*j**5\/15 + 1850*j**4 - 10952*j**3\/3 - 45*j**2 - 13*j. Find q, given that n(q) = 0.\nAnswer: 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-5))**42*k*k**(-15)\/k*k**(-2\/29)*k*k*k assuming k is positive.\nAnswer: k**(6958\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 1086*u + 1085*u = -9, 12*g - 2*u = -48 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 20 = -0. Let f = -0.561 - 0.439. What is the biggest value in c, 1\/3, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 10 = -12. Let b(q) be the first derivative of -5*q**2\/2 + q + 16. Let p(s) = 14*s - 2. Let i(o) = m*b(o) + 4*p(o). What is i(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*n - 2 + 10*n + 5 to the form k + i*n and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 78377437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p - 42*p + 93*p = 16560. What is the greatest common factor of 84 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 6 - (-1 + -8 + -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**2 + 2*w**2 - 9*w**2. Let t(f) = -22*f. Give d(t(s)).\nAnswer: -968*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 5139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*g + 2 + 4, -5*g = 3*q + 21. Let f = 3 + g. Which is greater: f or -2\/15?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 31. Calculate the greatest common factor of 81 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133 + 107 = -1061*n + 1085*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6\/(u\/u**(-1\/8)*u))**(-43) assuming u is positive.\nAnswer: u**(-1333\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwj when three letters picked without replacement from wppwwwjxpjwwpwwlpw.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -155b941?\nAnswer: 155b942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 6:32 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3922 is divided by 581?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.026, 0.7, 9 in descending order.\nAnswer: 9, 0.7, 0.026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3768581 a multiple of 501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - a**2 - a)*(3*a + 2*a - 6*a) + 596*a**2 + 2362 - 4758 + 2396 + 28*a**3 as k*a**2 + r*a**3 + p*a + j and give r.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 21*b - 1. Let x be o(21). Let k be 15 + (-3 - (1 + x)). Let r be (6 - 3)\/((-9)\/k). Let t(z) = -z**3 - 2*z**2 + 4*z + 3. Give t(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/18)*o**19)\/(o**(-7))**(-31))**(2\/13) assuming o is positive.\nAnswer: o**(-3565\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.377 - -1.377. What is the nearest to -0.1 in 0.4, g, -16?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71236755 or -71236754?\nAnswer: -71236755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1703, 2232, 3017, 4052, 5331, 6848, 8597, 10572?\nAnswer: 12767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.4 + -1.6. Let z = -5 - n. Which is the second biggest value? (a) -0.5 (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*s - 15 - 2 = 0, -5*z = 4*s - 27. Suppose 28114 + 3379 = z*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**3 + 9*u**2 + 38*u - 23. Let q be r(7). What is the common denominator of 10\/7 and 13\/(3276\/240) + 10\/q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4039375393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 6:03 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*x**2 - 11*x**2 + 5*x**2)*(-13*x - 26*x + 6*x)*(-x - 4 - 1 + 3) - x**4 - 3*x**4 + 2*x**4 + (x**2 + 2*x**4 - x**2)*(-2 - 1 + 1) - x**4 + 4*x**4 - x**4.\nAnswer: 260*x**4 + 528*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + sqrt(100)\/sqrt(5) + -2)**2*5.\nAnswer: -210 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3232 (base 6) in base 14?\nAnswer: 3ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2374595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 y when two letters picked without replacement from oyyyyyyyyoyyy.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481946568.\nAnswer: 2, 3, 20081107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*d**3\/2 - d**2\/2 - 122*d - 190.\nAnswer: (d - 5)*(d + 2)*(13*d + 38)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1234494.168 to the nearest 10000.\nAnswer: -1230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77300*-971.\nAnswer: 75058300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 344572?\nAnswer: 8614300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 313 - 310 + c - 2*c. Suppose 4*n + 19 = -29. Let g be b(n). Solve -g = 2*v + v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 3*p + 9, -d - 7 + 4 = 3*p. Suppose -d - 5 = -4*q + 2*c, 0 = -q + 2*c + 5. Is q*-2 + -7 + 118 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 (base 7) in base 8?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (331 - 35 + 140 + 16)*(-3*b + b + 0*b).\nAnswer: -904*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*b - 8 = 0, 5*b = -f - 12 - 16. Let l be -6 - (2 + (-9)\/3). Let h = l - f. What is the closest to h in 5, 0.1, 3\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-seven halves of a microgram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 71*w - 958. Let k be c(-52). Solve -35*s - 10 = -k*s, s + 11 = -3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkk when three letters picked without replacement from kakvvdvvkvkqkvqhavav?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(637) + sqrt(637) + 3*(0 + sqrt(637)) + sqrt(637) + 0)*-3)**2.\nAnswer: 206390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000162777 to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 25, 84, 175, 304, 477?\nAnswer: 700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166088 is divided by 990.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g - g**2 + 3*g. Suppose -17 = -5*d + 28. Let r(p) = 9*p + 7*p + 0*p - d*p. Calculate x(r(h)).\nAnswer: -49*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vuuvuuuuvvuuvvuuuuv.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/2 + 2 + 1. Suppose 2*d + b*d - 52 = 0. Calculate the remainder when (4\/(-6))\/(2\/(-72)) is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3 + 86\/3 + -8. Suppose -6*k = 5*n - 2*k - 71, 0 = -5*k + r. Solve 10*o - n*o = -2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16462 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 634415077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3235000 to the nearest 100000.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 3 + (-3 + 4 + 0)*(-1 + 2 + 1))*(-3*c**2 - 10*c**2 - 9*c**2) to d + b*c**2 + k*c and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -459\/7 - -66. Let y = -259 + 264. Which is the closest to 1\/3? (a) o (b) -4\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n + 108*n - 143*n + 18*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.2 + 1.2. Let j = r - -6.1. Let t = 15 - 11. What is the closest to j in -0.1, t, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l**4 - 34*l + 48*l**3 + 59*l**2 - l - 12 - 13*l - 20*l**2 = 0. Calculate l.\nAnswer: -1, -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssmsmmnsn. What is prob of sequence ss?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1319366, -2638603, -3957850, -5277113, -6596398, -7915711, -9235058, -10554445?\n\"Answer: -q**3 + q**2 - 1319233*q - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Let p(c) = -11*c**3 + 166*c**2 + 1391*c - 13. What is p(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*s**6 + 7*s**5 - s**3 - 2*s**2 + 2*s - 902.\nAnswer: 3120*s**3 + 420*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 2*r - 6 = 0, -16*r + 22 = -3*p - 14*r for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -0*g + 1197. Calculate the common denominator of g\/60 + (-1)\/(-4) and 49\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 5. Suppose x - b + 7 = 2*b, -21 = -t*x - 5*b. Solve -u + 2*u = -x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {h: 8, t: 2, d: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/20)\/(-1))\/(117\/(-6084))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 26*g**2 - 25*g + 19. Is c(25) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-351)\/117*(-134)\/(-60)*-2*-5\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10111222 - -121?\nAnswer: -10111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-652)\/156 - 4\/26) + 4. Let m be (-5 + 724\/144)\/((-5)\/3). Which is bigger: m or w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nna when three letters picked without replacement from ncnccevneanenc?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17457 and -4288?\nAnswer: 74855616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 19 = -3*d - 7, 24 = -4*w - 4*d. Let o(f) = f**2 + f - 1. Let u(l) = -5*l**2 + 10. Let n(t) = w*o(t) - u(t). Give n(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 918 and 6732?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 904.8516 litres in millilitres?\nAnswer: 904851.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + -82*3\/(-2). Let x = v - -33. Is x a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z. Let l(r) = 5*r**2 - 13*r. Calculate l(h(k)).\nAnswer: 45*k**2 - 39*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, x: 3, g: 10, r: 2}. What is prob of sequence grk?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -1, 52, 143, 284?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1874035696 to the power of 1\/2, to the nearest integer?\nAnswer: 43290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1885 divided by 145?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, o: 1, l: 3, c: 1, g: 3}. Give prob of sequence lgc.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -35 (c) 1 (d) -8 (e) 2\/31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*q + 3569 - 3338. Let f be (-4)\/22 - 48\/(-22). Let y(z) = 1 - 17 + z - f*z. What is y(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4573155 divided by 145\nAnswer: 31539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(896)*-1*2 + 3*sqrt(896)*-2)\/((sqrt(242) - 2*sqrt(242)) + (sqrt(28)\/sqrt(7))\/sqrt(2)))**2*3.\nAnswer: 21504\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -112. Suppose -3*b - 201 = -75. Let w = b - t. Calculate the remainder when w is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.2, 8, -2, -12, -1\/3 in descending order.\nAnswer: 8, 0.5, 0.2, -1\/3, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/6 of a day in hours?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -51? (a) -1 (b) 0.5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.6 - -5. What is the closest to -1\/3 in y, 0, -6\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/6*-8 + 1. Solve -i = 4*o + 11, -i = -2*o - 0*o - s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -407105\/8, -0.2, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/863 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-42)\/(-8) + (-8)\/32. Suppose 4*b = o*t + 130, t - 56 - 92 = -5*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -292638 (base 11) to base 14\nAnswer: -bc924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 15\/8, 4\/1531 in descending order.\nAnswer: 15\/8, 4\/1531, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 3:10 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4422*o**3 - 13*o**2 - 2*o**4 - 3*o - 2210*o**3 - 6 - 2211*o**3 in the form t*o**3 + c*o**2 + v + h*o**4 + r*o and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*u = 57, -4*x - 7 = -u - 4*u. Let d be (-470)\/x - 30\/40. What is the greatest common divisor of 29 and d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -323401.7 and 6129546?\nAnswer: 6452947.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3213672\/(-39) - -2 - 4\/26. Round t to the nearest 1000.\nAnswer: -82000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -353, -352, -351?\n\"Answer: h - 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -885 + 1090. Solve -5 = -204*i + x*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 7*a - 15. Let l be k(5). Is (-8185)\/10*(-3 + l\/(-5)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 33, 27, 33, 57, 105, 183?\n\"Answer: m**3 - 13*m + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14973604 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 + 36. Let g be 8\/d*(-7)\/(28\/6). Let x(u) = u**2 + 3*u - 2. Give x(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 101*i. Let t(x) = -959828*x. Determine j(t(y)).\nAnswer: -96942628*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -63, -51, 1, 3, 4, 2\/9, 11\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 29351514 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 7*i + 3. Let x be l(7). Suppose -x*r = -13 - 5. Suppose g + 2*g = 36. What is the lowest common multiple of r and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -7) + 137 + -156 + -28.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -5*x - 2*j - 48, x + 3*j + 14 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and -1.2?\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 18 = 4*m, -m + 4*g = m - 6. Let j = m - -30. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549 = 124*c - 561 - 998 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 969 - 893. What is the least common multiple of 12 and i?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26796 + 26808. Calculate the least common multiple of 135 and v.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -318524, -637052, -955568, -1274066, -1592540, -1910984, -2229392, -2547758?\n\"Answer: f**3 - 318535*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g. Let f(l) = -165*l - 1. Determine f(p(k)).\nAnswer: 165*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5806, 5807, 5804, 5797?\n\"Answer: -2*z**2 + 7*z + 5801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 39*s + 60. Let l(c) = c**2 + 79*c + 120. Let j(n) = -4*l(n) + 9*x(n). Factor j(a).\nAnswer: 5*(a + 3)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-1)*(40\/10)\/(-40).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 6 - 18. Suppose -2*g - 3*j = 18, 9 = -3*g + 2*g - j. Let p be g\/6*4\/(-3). Solve x - 1 = p*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 9*d = -10*d - 2, 0 = -2*n + 5*d + 4. Let g be (-184)\/56 - -7 - n\/(-7). Solve 7 = -g*f - 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 546.\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56063 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 + 4*q**4 - 3*q**4)*(-1 - 1 + 3 + 0 + 0 + 3 - 2 + 5 - 2 + (-5 + 2 + 4)*(4 - 1 - 4) + 0 + 4 - 5)*(4 - 4 - 2*q).\nAnswer: -12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 - 103. Let w = 30 + x. Let g = 4.6 - 5. Are w and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 4:49 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357*v**2 - 1860*v**2 + 467*v**2 + 716*v**2.\nAnswer: -320*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4779, 4766, 4737, 4686, 4607, 4494, 4341, 4142?\n\"Answer: -c**3 - 2*c**2 + 4782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 62*h + 36*h + 44 - 11*h + 52 + 97*h - 8*h**3 + 62*h**2. Let g(a) = -4*a**3 + 32*a**2 + 92*a + 48. Let o(d) = 9*g(d) - 4*l(d). Factor o(f).\nAnswer: -4*(f - 12)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 26 = -5. What is t in 1\/3 - 1\/3*t**2 - 1\/3*t + 1\/3*t**g = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(-5))\/(-5)*-4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 11*t**3 + t**2 + t. Let z be d(-1). Let m = z - -16. Suppose 4*y - 5*y + 3*v = -55, m*v + 15 = 0. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19626479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 34. Let y = -15 + a. Let v = 0.2 - 0. Sort 0, v, y in increasing order.\nAnswer: y, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 14*z**2 + 26*z + 3. Let n(c) = -c**2 + 3*c + 3. Determine -f(q) + n(q).\nAnswer: -15*q**2 - 23*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-10))\/(6\/15)*6. Let x be u*(453\/(-153) + 3). What is the third biggest value in 0.3, -2, -2\/7, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6 - 5 - h + 2*h. Let m be u(8). Let b(i) = i**2 + 2*i - 1. What is the lowest common multiple of b(m) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m - 7. Let x be u(13). Suppose -22 = -2*g + t, 3*g + 0*t = 2*t + x. Let w = -1664 - -1734. Calculate the remainder when w is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-510)\/18)\/(170\/(-102))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = 4*i + 245. Let v = i - -192. What is the greatest common factor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45069142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.56128 millilitres in litres?\nAnswer: 0.06256128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(21)*-4 - sqrt(21))\/sqrt(7) + sqrt(3) - (sqrt(3) + -2)*6 - (3 + 2*sqrt(3) + (4*sqrt(3) - sqrt(3))*2)))**2.\nAnswer: -180*sqrt(3) + 997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - j + 2*j)*(-255*j + 115*j**2 - 223*j + 147*j - 260*j + 96*j) to the form t*j**3 + f*j + i + g*j**2 and give g.\nAnswer: -990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2302 + -5.8698. Let r = -12 - -18. Let p = i + r. Put p, 12, 0.4 in descending order.\nAnswer: 12, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 151697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 6) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 348071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -244 - -338. Is w bigger than 94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 625860 and 735?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-8) - (-20)\/80. Is ((-998)\/1)\/(-1 - y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/14 - -822*(-26)\/21. Let m = -703 - f. Does 30 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 381 - 388. Which is the third smallest value? (a) 13 (b) -1\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w. Let r(b) be the second derivative of 0*b**3 + 5*b**2 + 0*b**4 - 2*b + 0 + 11\/30*b**5. Let l(n) be the first derivative of r(n). Give a(l(s)).\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 3, x: 4, i: 3, r: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/16)\/((-9)\/216) - (-1720)\/(-286). Which is greater: 3 or a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 less than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (3 - 2))\/1. Find the second derivative of f + 12*f**2 - 2*f**2 + r*f wrt f.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*k - 6*z - 36, -5*z = -5*k - 160. Let t = -26 - k. Suppose r = t*g, 3*g = -0*r + 5*r - 35. Calculate the least common multiple of 14 and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11886.25 - 11596. Round a to the nearest integer.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 16. Let p = 17.3 - 17. What is the third biggest value in p, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u**2 - u**2 - 2*u**2)*(-u + 1 - 1) + 5*u**3 - 3 - 8 - 2*u**3 as v*u**3 + c*u**2 + b*u + n and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150 (base 16) to base 14.\nAnswer: 1a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 816682152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((2*sqrt(152) - sqrt(152))*-4)\/(5*sqrt(72)))**2.\nAnswer: 304\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 760913 + -1038646361\/1365. Calculate the common denominator of g and 109\/520.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1577 (b) 1.58 (c) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 7:56 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b + 1. Let y be l(-7). Let w(j) = -3*j + 2. Let r be w(y). What is the greatest common factor of r and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 9. Calculate the remainder when 27 is divided by 168\/30*10\/n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*z - 7*z + 7*z.\nAnswer: 64*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/58369 or -1\/40?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 400847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*f - 51*f + 339346 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*w**4 + w**3 - 4*w**2 - 29*w wrt w?\nAnswer: -1368*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) - sqrt(1792))**2 + 4 + sqrt(28).\nAnswer: 2*sqrt(7) + 1376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 136 = 3*i, i - 13 = -n + 30. Let l be -1 + (-2)\/(i\/(-18)). Which is the nearest to -2\/9? (a) 3 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i - 15 = -5*t - 14*i, 0 = -3*t + 2*i + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42556154 divided by 36034?\nAnswer: -1181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -22743.\nAnswer: -20\/22743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z = -6. Let l = 11 - 0. Let j = l - z. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*v + 3. Let k = -2 + v. Suppose 0 = -4*r - g - 17, -r - 1 = 2*g - 2. Sort k, 4, r in descending order.\nAnswer: 4, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 12:20 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 5*s - 2*i, -5 = s + 2*s - 5*i for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 29*d**2 + 359*d + 266. What is the ten thousands digit of l(-37)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -322\/261 - 15230\/9657. Which is smaller: -2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94 - 36. Calculate the remainder when s is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzzzkkzkznzznmzm. Give prob of picking 1 z, 2 k, and 1 m.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1265 - -6326\/5. Sort -0.3, 0, 125, q in decreasing order.\nAnswer: 125, q, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 35*f + 2. Let v(w) = -1820*w - 105. Give 105*h(n) + 2*v(n).\nAnswer: 35*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**3 + 67*u**2 - 2527012*u + 2526944 = 0.\nAnswer: -1624, 1, 1556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 0 + 5 + 2 - 3*c. Let n be g(-5). Suppose n = 4*r - 2*v - 62, 5*v + 10 = 0. Does 17 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2. Let b(z) be the third derivative of -z**5\/120 + 2*z**3\/3 + z**2. Let f(d) be the first derivative of b(d). Give f(w(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 3\/31, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*q - 380 + 1248 + 4577 = 0 for q.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21120001001010 (base 3) to base 12\nAnswer: -1418163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j + 4. Let u(z) = -z - 2. Let d be u(-5). Suppose 31 - 13 = d*v. Suppose 11 = -n + v. Calculate y(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 5. Let h = 1 - -57. Suppose 2*r = 4*i - h, -2*i + 4*r + 18 = -i. Solve -k*d = -6 - i for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/102 (b) 0.1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8927?\nAnswer: 79, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87845*r - 4004 = -87959*r + 175571*r + 4384 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 + 33.4. Let r = -4.600145 - s. What is r rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 14*n**2 + 15*n - 33. List the prime factors of t(4).\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51888, 100815, 149742, 198669, 247596, 296523?\nAnswer: 345450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -31*v - 1113. Calculate k(-36).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvgh when four letters picked without replacement from yjhvg.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 + -74. Suppose -14*d + n*d = 0. Suppose 2*z - 5*w = -4*w + 18800003, d = -z - 4*w + 9399988. Round z to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 6:56 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45255 (base 13) to base 3.\nAnswer: -20101100020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**5 - g**4 + g**3 + g**2. Let r(n) = -2*n**5 + 5*n**4 - 11*n**3 + 41*n**2. Let o(q) = 5*f(q) + r(q). Find the third derivative of o(l) wrt l.\nAnswer: 180*l**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -163332 (base 7) to base 5\nAnswer: -2014122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58\/411 + 1228\/2877. Factor g*c**4 - 2\/7*c**2 - 2\/7*c**5 + 0*c + 0 + 2\/7*c**3.\nAnswer: -2*c**2*(c - 1)**2*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20259 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 7*j**2. Let x(p) be the third derivative of -p**7\/5040 - p**5\/30 - 7*p**2. Let y(n) be the third derivative of x(n). Give y(g(r)).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v - 6*v + 2*v + v + 5 - 5 + (0 + 2 - 1)*(2 - 2 + 2*v) + 11 - 22 + 11 - 105*v + 3051*v in the form s + c*v and give c.\nAnswer: 2947","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 17*u**2 - 5*u - 9. Let n(f) = -4*f**2 + f + 2. Let t be -64*(2\/4 - -1). Let z = -87 - t. What is z*n(y) + 2*g(y)?\nAnswer: -2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1116121 (base 7) to base 15.\nAnswer: -2b2a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, i: 1, k: 1, p: 2, a: 2}. Give prob of sequence akxx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 927 = q. What are the prime factors of q?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 4:54 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.421 - -0.079. Let u = -0.2 + g. Suppose -3*m - 5*q = -m - 11, m + q = 4. Put m, -1, u in increasing order.\nAnswer: -1, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21446 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -21 - 21. What is the tens digit of (6 - o)*1*-223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 34 = j + 3*y, 0 = -2*y - 8. Let q be (-4)\/(-18) - j\/9. Let l be (0 + -1)\/(q\/3). Solve 3*m = l - 18 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10645 + 81682. Suppose 3*l - b = -3*f, -6*f - 71069 = -3*l - f. Let v = l + 4317. Round v to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3399 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, i: 3, e: 4}. What is prob of sequence eidd?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1613418, 6453814, 14521150, 25815432, 40336666, 58084858?\n\"Answer: i**3 + 1613464*i**2 - 3*i - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 1317?\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409802 is divided by 204900?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*s + 144. Suppose 0 = -5*p - 27 + 7. Let r = s + p. What is the highest common factor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 908499263?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1988 divided by -1513?\nAnswer: -1988\/1513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(-57)\/((-171)\/(-8)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34.26 + -35.5136. What is o rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 73548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -243177, -486922, -730667, -974412?\nAnswer: -1218157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*j = -55*j - 24. Which is greater: j or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 154?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 5*y + 5*y)*(-5 + 1 + 3)*(2*y**2 + 22*y - 22*y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 46*q - 4. Let s(f) = -3175*f + 275. Give 275*i(r) + 4*s(r).\nAnswer: -50*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 - -47. Suppose 13*c + 24 = 5*c. Put 3, q, 4, c in descending order.\nAnswer: 4, 3, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 + -131. Let g = -27 - a. Suppose 38 = 2*f - g. Calculate the highest common factor of 24 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 1. Let q(j) = -1. Let d(g) = -f(g) - q(g). Let a be ((-45)\/(-36))\/(135\/216). Let l(y) = 3 + 2 - 6. Give a*d(i) + 2*l(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 943936 and 588.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 at most 240?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 - 4*q. Let r be y(2). Let x(k) = -9*k**3 + 5*k + 5. Let d(o) = 44*o**3 - 24*o - 24. Calculate r*x(i) - 5*d(i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -16) + 3 + -18?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.18 - 17.198. Which is the fourth biggest value? (a) -1 (b) 3\/2 (c) n (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*(2 + 6*(-3*(sqrt(468) + 1))**2 + 3).\nAnswer: -506620 - 12960*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1764*w + 378. Let v be l(8). Round v to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*5\/(30\/9). Does 7 divide 0 + (c + 0)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.2, 308, 20, 0, 0.5 in increasing order.\nAnswer: -1, -0.2, 0, 0.5, 20, 308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 4 - (5 + 5 - 5). Which is the fourth smallest value? (a) 2 (b) 3 (c) 0.2 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 673 = -5*a + 4088. Suppose 0 = 3*n + n. Suppose n = -5*t + a + 2712. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/3 + 964*b**4\/3 + 112036*b**3\/3 - 345808*b**2\/3 - 37346*b + 114948 = 0. Calculate b.\nAnswer: -279, -206, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 931418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 23827448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -793.06 - -6.06. Let d = 554 + h. Let l = -222.7 - d. Round l to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p - 15 = 0. Let v(b) = b + p - 5. Let g(n) be the third derivative of 7*n**5\/60 - 7*n**2. What is v(g(h))?\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**5\/20 + i**4\/2 + i**3\/6 - 4*i**2 - 2*i. Suppose 3*l + 3*s = 2*s + 13, -3*l = 5*s + 7. Determine c(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from {o: 3, t: 1, z: 6, l: 1, g: 2}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 167965318?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6877013 divided by -625183\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5009*s**2*t - 2*s**2 + 5*t**2 - 3000 wrt t.\nAnswer: 5009*s**2 + 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*h**4 + 3*h**4 + 4*h**4)*(2 + 5 + 1) + (h + 4*h - 3*h)*(138*h**3 + 17*h**3 + 14*h**3) as f*h + v + w*h**2 + y*h**4 + i*h**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4534 by -4.\nAnswer: -2267\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -334, 11, -1, 166 in decreasing order.\nAnswer: 166, 11, -1, -334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**5 + l**5 + 3*l**5 + (2*l**3 + l**3 - 5*l**3)*(-3 + 3 + 2*l**2).\nAnswer: -3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -47.05 and -0.01.\nAnswer: -47.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**6\/24 - 2403*o**5\/4 - 28872045*o**4\/8 - 23126508045*o**3\/2 - 2*o**2 + 2132. Factor y(g).\nAnswer: -5*(g + 2403)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.438 + -3.9132. Round s to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**22)*o)**17*o*o**31*o*o\/o**25)**(2\/31) assuming o is positive.\nAnswer: o**(800\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -595 in ascending order.\nAnswer: -595, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(-9 + 13*r - 26*r + 15*r).\nAnswer: 2*r - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2385 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 0, 68, 190, 372, 620, 940, 1338, 1820?\n\"Answer: u**3 + 21*u**2 - 2*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 20*u + 1037. Calculate s(-52).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*f + 5 - 137 = 12. Sort -3, -5, 8, -20, f.\nAnswer: -20, -5, -3, f, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/8, 0.3, 55, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*y + 152*y + 54*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**5 - 4*j**5 - j**5 + (0*j**3 - 3*j**3 + 6*j**3)*(0 + 0 + 2*j**2).\nAnswer: 4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1392 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6264729 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 - y**3 + 40*y**2 - y**4 - 38*y**2 as u*y**3 + q*y**4 + r + h*y + l*y**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) -0.2 (c) 14 (d) -5706 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -5. Suppose y = 3*q + 5*u + 2 - 4, -4*u = 3*q - 1. Suppose 3*w + 0*w - 3*r + 3 = 0, 0 = r + 3. Which is the smallest value? (a) q (b) w (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * 12.9.\nAnswer: -11.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 165*z**2 - 1498 + 3006 - 1506 in the form o*z**2 + c*z + v and give o.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2317 = 3*r + 4*d, d - 786 = 5*r - 4663. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*r**3 + 1207*r + 111*r**2 - 14*r**2 + 2890*r wrt r?\nAnswer: 72*r + 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 20.2\nAnswer: 4.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -31. Let o = u - 12. Suppose -10 - o = -2*n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4 = -5*w, u = -u + 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -19*u + 168. Let r be (-3)\/(1\/4 + 15\/(-12)). Solve -2*w = 2*o + 4 - u, o + r*w = 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -55*u**2. Let q(w) = -w + 3. Let i(y) = -2*y + 8. Let h(n) = 3*i(n) - 8*q(n). Calculate h(t(b)).\nAnswer: -110*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fzxzfzxxzzxzfxx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**5 - 40*f**4 - 6*f**2 + 97*f.\nAnswer: 60*f**2 - 960*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*u**3 + 1 + (2*u**2 + 2*u - 2*u)*(3 + 2*u - 3) + 3*u**3 + 3*u**3 - 4*u**3 + 0*u - 3*u**3 + 0*u + 506*u**3 + 471*u**3 - 1056*u**3 + 3*u**2.\nAnswer: -74*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*u - 1\/6*u**2 + 1\/2.\nAnswer: -(u - 1)*(u + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p - 1037 = -897 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-16.9.\nAnswer: 8.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23662.021461 - 23340.0218. Let a = -322 + o. What is a rounded to five dps?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 8345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/27? (a) -4 (b) 12 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v*v**6\/v)\/v*v*v\/v**(-15))\/(v\/(v\/((v*(v**(-1\/4)\/v)\/v)\/v))*v)**(-19) assuming v is positive.\nAnswer: v**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4224 and -172129.\nAnswer: 727072896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2044 is divided by 71.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1279, -2556, -3833, -5110?\n\"Answer: -1277*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 1. Let a(o) = o**2 + 31*o - 106. Let c be a(-34). Let w(h) = -1. Give c*n(t) + 3*w(t).\nAnswer: 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 279.4117 rounded to one decimal place?\nAnswer: 279.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 194, 2, 0, 1244 in increasing order.\nAnswer: 0, 1, 2, 194, 1244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 14*r**2 + 81*r + 506. Give k(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, q: 6}. Give prob of sequence oqqq.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*h + 192. What is the highest common divisor of 16 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h - 6. Let y be r(8). Solve w = y*w + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -6*w + 2, -70423*w + 70419*w - n = -5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 17*t**2\/2 - 65*t + 1. Does 23 divide l(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 62.095 and 0.7723.\nAnswer: 62.8673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 4\/25 (b) -2 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24417.5 - -24417. Sort -3\/4, v, 2, 491 in ascending order.\nAnswer: -3\/4, v, 2, 491","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3426 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -264*o + 523. What are the prime factors of k(-3)?\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -18 - (-21 + 28)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 0*x + 11 + 4\/21*x**3 + 1\/14*x**4 + 0*x**2. Factor h(f).\nAnswer: 2*f**2*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -36\/2377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7340 and 242.\nAnswer: 1776280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/3 - 0)*(-5706)\/4755.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - 14616 + 29237 - 14621.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008673 to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*(-3)\/27.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**4\/6 - 5*q**3\/6 + 2*q**2 - 2*q. Let c(w) = 2*w**2 + 2*w. Calculate the remainder when v(3) is divided by c(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 787490 and 24310?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1980)\/(-792))\/(((-15)\/(-16))\/3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 263. Let g = 465 + p. List the prime factors of 4\/(-6) - g\/(-3).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 531 divide 24426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1334*w + 58169 + 212035 = 1724*w + 5130*w for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 0\/14)\/(1\/42). Solve 52*z - w = 58*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**3 - 6*u**2 + 18*u - 99. Give k(6).\nAnswer: 657","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 2, i: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3116, 1088, -940, -2968?\nAnswer: -4996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - 2.5. Let a = v - -3. What is the closest to -1 in 0.1, a, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 39 - 246 = 0. Suppose 3*o - a = 328. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3099977 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**5\/60 - h**3\/2 - 12*h**2. Let a be x(3). List the prime factors of (-8)\/a - (-714)\/9.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 10:53 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18796 and 281940.\nAnswer: 281940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59 - -65. Suppose 0 = -5*m + z*m - 14. Let i be (3 + m\/(-8))*-4. Do i and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32567*t**2 + 2 + 2 - 4.\nAnswer: -32567*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -307 or 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-8)*144\/54.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 817080 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t + 2 + 14*t**3 - 4 + 0 - 4*t + t + t**2. List the prime factors of w(5).\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19611360?\nAnswer: 2, 3, 5, 13619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 3*z**2 - 4*z**2 + 2*z**2. Let l(y) = y. Give l(k(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**5\/60 - o**2\/2 - 3*o. Let j(b) be the first derivative of c(b). Let a(w) = 3 - w**2 + 1 - 4. What is a(j(n))?\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(275) + 2.\nAnswer: -1 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 7*c + 14. Let b be y(-5). Suppose -b*k + 5*i + 673 = -202, -3*i + 1103 = 5*k. Calculate the highest common divisor of 20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 2031?\nAnswer: -2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 1.9. Let d = -13.407 + -1.423. Let o = 6.83 + d. Which is the nearest to u? (a) o (b) -4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -0*h + h - 9, -a = -h + 5. Let o = a - -2. Solve -3 = -c - o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1226 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, t: 8, r: 4, a: 5}. Give prob of sequence tt.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-27 + 15 + -2 - (2 + -5)) + 76?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -5*z - 3*n + 46, z - 2 = -n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 870 - -181b?\nAnswer: 228b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6612, 6571, 6552, 6567, 6628, 6747, 6936, 7207?\n\"Answer: 2*p**3 - p**2 - 52*p + 6663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*j**4 + 790*j**3 + 10*j**2 + 418154.\nAnswer: -16*j**3 + 2370*j**2 + 20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463 is divided by 119?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 26050212?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -854 or -426\/19?\nAnswer: -426\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 140700 to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(90\/(-6))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 1.2. Let v = w - -1.0000064. What is v rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/28*(-14)\/(8\/(48\/(-6))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173, 146, 119, 92?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + (-16)\/(-5))*(22 + -21). What is the fourth biggest value in m, 3\/4, -0.74, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) 3.38 (b) -0.07 (c) -1\/9 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1610 + 3814. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 219, 3, 15\/2, -6\/11, -3, 0.3.\nAnswer: -3, -6\/11, 0.3, 3, 15\/2, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/37)*r*r*r**(-9) assuming r is positive.\nAnswer: r**(-257\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214157, -858264, -1931775, -3434690, -5367009, -7728732, -10519859?\nAnswer: -13740390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 3, -5, -30, -12087 in increasing order.\nAnswer: -12087, -30, -5, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6.2 + -96\nAnswer: -102.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (663\/(-884))\/((-306)\/(-16))?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-133.\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 5. Suppose v = h + h. Suppose -g = h*g - 57. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 37 = 2*y - 38, 0 = 5*y - c - 168. Calculate the highest common factor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2\/n)**21)**(-5) assuming n is positive.\nAnswer: n**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -66.1?\nAnswer: -19.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10 times -13\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 14*k = -364. Suppose k*z = 19*z + 49. Solve 2*t - z = 3*p + 3*t, 5*p + 35 = 3*t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -204934\/37455 - -12\/2497. What is the common denominator of r and 43\/66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 82\/26 - (-62)\/(-403). Suppose -2*v = -4*y - 6, -k*y - 7 + 22 = 0. Suppose v + 63 = d. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 436 + -411. Let m be (g\/8)\/(460\/368). Which is the fourth smallest value? (a) 1\/5 (b) m (c) -2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 3*j + 16 = 0, 2*s + 31*j - 36*j = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - o - o + 4 + o - 4 + (-2 + 4 + 0)*(-2 + 2 + 2*o) - 1 + o + 1 - 3*o + 3*o + 2*o + o + o + o)*(1 - 15 + 13 - 8*o).\nAnswer: -96*o**2 - 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11999745 and 150?\nAnswer: 119997450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2304 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: Are -3019 and 14299 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, h: 11}. Give prob of picking 2 y and 2 h.\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from ggggggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2. Let q(p) = -56*p - 20. Let w(t) = t + 1. Suppose n = -4*z + 7 - 87, 5*z = 3*n - 100. Let x(a) = z*w(a) - q(a). Give x(k(u)).\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 8 = 3*l, 2*v - 2 + 8 = 4*l. Let m be ((-12)\/(-6))\/(l\/(-2)). Solve 2 + 14 = -m*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2430)*-1 + ((-2*sqrt(2430) + sqrt(2430) - sqrt(2430))*-1 + sqrt(2430) - sqrt(2430) - sqrt(2430)) + sqrt(2430))\/((-3*1*sqrt(90))\/(sqrt(36)*-1)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwfwfwffffwww. Give prob of sequence wf.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32782262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*h - 382 - 6508 = 133*h + 440*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1025*m + 746*m - 58340 = 28439 for m.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8 + -31 + (-208 - -247). Factor 1\/3*g**2 + k + 1\/6*g**3 + 1\/6*g.\nAnswer: g*(g + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 296 = -82. Let t = d + 47. Factor -8*n**2 + 2*n**2 + 3*n**t + 6 + 223*n - 214*n - 12*n**3.\nAnswer: 3*(n - 2)*(n - 1)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3450 divided by 25.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/1*(72\/42 + -2). Let u(w) = -2*w + 156*w**2 - 162*w**r + 2*w. Let y(l) = 6*l**2. Calculate u(y(v)).\nAnswer: -216*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42\/19 - 50\/57. Let -a - 2*m**2 + 10\/3*m = 0. Calculate m.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o**2 + 0*o**3 + 8 - 3*o - 2*o**3 + 3*o**3 + 9*o. Let l be w(-5). Solve 27 = -5*q - v, 2*q + l*v = -v - 18 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {q: 2, a: 4, u: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 98da (base 14) in base 6?\nAnswer: 322252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2993.\nAnswer: 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 + 10*(-1423)\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3805, -2649, -1493?\n\"Answer: 1156*z - 4961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**7\/105 - d**5\/6 - 3*d**2. What is the third derivative of n(j) wrt j?\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 - 15*c**2 + c + 1. Let z be p(-8). Let y = z + -99. Let u = y - -70. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25495, -25492, -25489, -25486, -25483?\n\"Answer: 3*c - 25498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 3*y + 7. Determine f(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1320010 + -22444?\nAnswer: 1242011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 2:32 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1147 - 43 = -202*o + 1234 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1942244 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 438198270, 438198279, 438198290, 438198303?\n\"Answer: c**2 + 6*c + 438198263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.5, -106873 in increasing order.\nAnswer: -106873, -0.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 37, 67, 85, 85, 61?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1178178 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -3*q. Suppose 0 = q*u - 8, -2*u = -n - 0*u. Suppose -2*h = 2*h - 16. What is the least common multiple of h and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106.1 - -106. Let g = 0 + 0. Let j = g + -0.2. Which is the closest to -2? (a) i (b) -2\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21587, 43305, 65153, 87131, 109239, 131477, 153845?\nAnswer: 176343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/22 + (-36)\/(-396).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221193579.\nAnswer: 3, 17, 4337129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008711127 to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + (sqrt(72) - (0 + sqrt(72)))*4 + sqrt(72))**2 - (0 + -1*sqrt(72)).\nAnswer: 6*sqrt(2) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 10, p: 6, a: 2, c: 2}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 2. Let c(r) = 1. Let n(q) = 6*c(q) + 3*y(q). Let o(f) = -4*f**2. What is o(n(v))?\nAnswer: -36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*y = 3. Suppose 4*j + y = -2*u - 3*u, 3*u = 3*j - 6. Let b be 2\/(j*(-2)\/(-2)). Solve 1 = v - b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.7*17\nAnswer: -45.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20341201 (base 5) in base 10?\nAnswer: 168301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*g**4*j**2 + 2*g**3*j**2 - 116*g**3 + g**2*j - 5704*g*j - 2*j**2 wrt g.\nAnswer: 264*g*j**2 + 12*j**2 - 696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -69, -235, -539, -1017?\nAnswer: -1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**3 - 9*m**2 - 123*m + 115. Let o(c) = c**3 - 2*c**2 - 31*c + 29. Let f(r) = 2*g(r) - 9*o(r). Find the first derivative of f(l) wrt l.\nAnswer: 3*l**2 + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4366 divided by -8332.\nAnswer: 2183\/4166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 5*q + 20, -5*y = 18*q - 19*q - 22 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (420\/30 - (47 - 0)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.73 minus -3?\nAnswer: 19.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.08 - -0.58. Which is the nearest to 2? (a) j (b) -0.7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/12*((-70771)\/(-506) + 15\/110)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2384 + 699. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**7\/70 + 7*j**6\/25 - 87*j**5\/100 - 11*j**4\/5 + 1182*j. Solve y(v) = 0 for v.\nAnswer: -1, 0, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 307 + -306. Let t(y) = -8*y**2 + 6*y - 6. Let r(j) = 2*j + j**2 - 3*j + 1 + 0. Calculate w*t(h) + 6*r(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19428, 19643, 19860, 20079?\n\"Answer: i**2 + 212*i + 19215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -3, -317, -5 in descending order.\nAnswer: -3, -5, -27, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 8:09 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c + 308. Give p(39).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = o - 5, -7*w - 4*o + 4 = -3*w. Let a be 1\/w + 22\/4. What is the third smallest value in a, -0.4, 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -237 and -0.0099935.\nAnswer: 2.3684595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 282 = -m - 3*q, q = 2. Suppose 7*u + m - 172 = 0. Let n be -1 - (1 + -3 + 0). Solve -5 + n = -u*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 355688066?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 179 + 29. Let o be l\/4 + (2 - 0). Factor 0*i**3 + 4*i**4 - 60*i**5 + 2*i**3 + o*i**5.\nAnswer: -2*i**3*(i - 1)*(3*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 299, 295, 291, 287, 283, 279?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 252 + -249. Let s(n) be the third derivative of 1\/84*n**7 + 1\/8*n**5 + 5\/12*n**4 + y*n**2 + 0 - 1\/12*n**6 + 0*n - 5\/3*n**3. Find d such that s(d) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 n, and 1 j when four letters picked without replacement from {m: 7, j: 2, n: 1, b: 1, z: 6}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20132 is divided by 20099.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**7\/735 - 2*a**6\/15 - 56*a**5\/15 + 364*a**2. Factor x(l).\nAnswer: -2*l**2*(l + 28)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 - 23369*h + 32211958.\nAnswer: (h - 21898)*(h - 1471)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 42*q - 30*q + 6 - 5*q**2 + q**3 - 5*q**2. Let d be c(9). Calculate the highest common factor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/7 - (1 + -655). Suppose 5*y + 1 = p. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u**4 + 9848*u**3 + 225473226*u**2\/7 + 128824952*u\/7 + 18402760\/7 = 0. Calculate u.\nAnswer: -1205, -2\/7, 1909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4800 and 15600.\nAnswer: 62400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 9:58 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -5, -2\/9, 3.\nAnswer: -5, -2\/9, 0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -34.4. Which is the smallest value? (a) 0.5 (b) m (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3918 is divided by 686.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.0553.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-10))\/(819\/(-19110))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.1, 0.1, 0.2, -3898 in ascending order.\nAnswer: -3898, -0.1, 0.1, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -210, -473, -792, -1167, -1598?\n\"Answer: -28*l**2 - 179*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 5732*o**3 + 12 - 571*o**3 + 6913*o**3.\nAnswer: 12074*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 13*a - 3 - 2 to the form l + z*a and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 34 + -7 + (-19 + 11 - (-15 + -4)) + -4\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12390 and 8260.\nAnswer: 24780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 45322*o + 1.\nAnswer: 45322*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 8*k**2 - 8. Suppose -12*s + 26 = 122. Determine b(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 2*r**2 - 7*r - 17. What is m(-5)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8116\/44*1)\/(-1). Let p = 185 + d. Calculate the common denominator of -115\/6 and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*p + 25 = 0, -4*w - 20 = -3*p + 15. Put -6, -2, -1, w in ascending order.\nAnswer: -6, w, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.6 - -15. What is the second smallest value in -0.1, 0.1, 1\/3, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688 less than 24114\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 50 = 13*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11202111 + 0?\nAnswer: 11202111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 320960 and 255?\nAnswer: 962880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**4 + k**4 + 0*k**4 + (-5*k**2 + 5*k**2 - 2*k**2 - 1 + 1 + 2*k**2 + (-4*k + 0*k + 2*k)*(-3*k - 3*k + 5*k))*(2*k**2 - 3*k + 3*k).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 907 + 13*a - 14*a - 180 + 6*a.\nAnswer: 5*a + 727","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (324\/(-2268))\/((-38)\/28).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**2 - 326*u - 1833. Calculate r(114).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2148*h + 66466 + 49483 = 6401 for h.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 24 = 5*m - 7 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 37411.7 + -0.03\nAnswer: 37411.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10323983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14589 + -14584. Put -0.469, n, -0.2 in decreasing order.\nAnswer: n, -0.2, -0.469","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 1. Let q be u(-1). Let i(b) = -2*b**3 - 11*b**2 - 8*b - 9. Let p be i(-5). Suppose -p*k + 96 = -q*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, r: 11, k: 1}. Give prob of sequence rk.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from thth?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 12*t**2 + 8*t + 3. List the prime factors of m(3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -476304460 divided by -1?\nAnswer: 476304460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 835761 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4408 and 26033800.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/1997 + 7985\/5991. Factor 0 + 2*w**2 - 2\/3*w**3 - v*w.\nAnswer: -2*w*(w - 2)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/7 - 27\/(-14)) + (-88)\/16. Suppose v - 15 = -k, -3*v - v = -4*k - 36. Sort v, 2, 3, t in increasing order.\nAnswer: t, 2, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -1\/4, -0.3, 13.6?\nAnswer: 13.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -566 - -579. Which is the biggest value? (a) z (b) 2 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + f - 9 + 2, -5*g + 2*f + 16 = 0. Suppose 0 = 4*t - g - 2. Is (t + 2)\/3 - -20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, q: 4, e: 2}. Give prob of sequence ee.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-21) + 31\/(-14). Let a = 19 + -23. Let g be (-8)\/a*(-2)\/(-16). Put g, 3\/5, d in ascending order.\nAnswer: d, g, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2*z - 2*z)*(-4 - 1 + 4)*(2*z - z - 5*z)*(-2 + 4 - 5).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 144537 to the power of 1\/2, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 8*q**3 + 0*q**3 - 9*q**3 in the form w*q + f*q**3 + c + l*q**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1892*t - 196*t = 2667*t - 80835 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50323404, 50323403, 50323402, 50323401, 50323400, 50323399?\nAnswer: 50323398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0 - 8 = 0. Let y(o) be the first derivative of o**4\/2 + 3*o**2\/2 + 3. Let g(a) = 6*a**3 + 8*a. Calculate b*g(l) - 11*y(l).\nAnswer: 2*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23110 + -12?\nAnswer: 23076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -80*q**2 + q - 5. Let f(j) = -111*j**2 + 2*j - 6. What is 3*f(o) - 4*y(o)?\nAnswer: -13*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddd. What is prob of sequence dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -982 + 1425. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/4636398 and -23\/570.\nAnswer: 440457810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 15*k**2 + k + 1. Does 7 divide o(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26.66 - -11.63. Let i = 0.03 + l. Which is the third biggest value? (a) 1 (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 5\/6 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - 4*a\/5 - 1\/5.\nAnswer: (a - 1)*(5*a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 251.8 - 252. Let j = 1 + -0.9. Put j, p, -0.6 in decreasing order.\nAnswer: j, p, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -9. Let h = 0.7 + 3.3. Let n = h - 6. What is the closest to -2\/3 in 1, n, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2459, 4922, 7385, 9848, 12311, 14774?\nAnswer: 17237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 621\/1944 + (-1)\/(-8)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**2. Let l(r) be the second derivative of 0 + 0*r**2 + 6*r + 1\/3*r**3. Calculate l(i(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-32)\/8)*(-6)\/60*-410?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -4) + 2 - (15 - (0 - 3)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 27 = -5*j. Let y be 4\/18 - j\/(-9). Let p be (y - 0)\/((-3)\/(-9)). Solve -2*g - 5 - 9 = 2*z, -5*z = p*g + 25 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + 1 + sqrt(7)).\nAnswer: 2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -612*i**2 + 1213*i**2 - 606*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 12239*t - 565. What is the units digit of r(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/4*((-6)\/(-11))\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 33*z - 28*z + 24, -4*b = -5*z - 111. Is -24 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/502 and -23\/20?\nAnswer: 5020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 95442 and 19644.\nAnswer: 312477108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1 = b. Suppose 4*n - 15 = b. Suppose n*y = 71 - 19. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14229104.\nAnswer: 2, 61, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 325 = -5*m, -4*b + 3*m + 420 = -811. Let v = b - 9. What is the third derivative of -322*s**2 + v*s**2 + 18*s**3 + 3*s**3 wrt s?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*w**2 + 6*w - 3*w - 3*w.\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/(-4))\/((-162)\/(-104)) and ((-46)\/(-45))\/(344\/(-430)).\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -57*h - 48*h - 22*h. Is u(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -45.2. Which is the closest to 1\/4? (a) -0.5 (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10206.74 milligrams in grams?\nAnswer: 10.20674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -10*j - 9. Let k be y(-9). Suppose 0 = 5*c - 15, 3*c - k = -3*v + 39. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 1:19 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 + 1. Let o = 9 + -4. Let k = -2 + 5. Suppose k*j + 2 = o. Determine t(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35.8 + -28.8. What is the nearest to -7\/4 in -4, 2, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.87 - -0.13. Let w = l - 6.999994. Round w to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88197326 and 13132?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 10:32 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -211.38261 or -5?\nAnswer: -211.38261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2101129*y**3 - 4087062*y**2?\nAnswer: -12606774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 - 11 = -28*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21059*f**3 + 9*f - 134 wrt f.\nAnswer: -126354*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one eighths of a kilogram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 56*w - 56. Solve 3*y + 2*z + w = -3, z = 5*y - 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13624 (base 9) to base 5.\nAnswer: 244011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24065 divided by -5.\nAnswer: 4813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.923 - -20.923. Which is the closest to -0.1? (a) 0.11 (b) q (c) 0.06 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e - 6c?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3904577, -7809161, -11713745, -15618329?\n\"Answer: -3904584*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -19*(5 + 4\/(-1)). Let y = -94\/5 - x. Which is the biggest value? (a) 1 (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1568*z**2 + 56*z + 499. Is c(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2 + 5*y - 5. Let s(o) = -4*o**2 + 12*o - 12. Let w(j) = -12*n(j) + 5*s(j). Let v(h) = 5*h**2. Calculate v(w(c)).\nAnswer: 80*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -32 (b) -19 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-6 + 4 + (-1 - -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -63, -116, -167, -216?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10, n: 1, e: 2, p: 3}. What is prob of picking 2 p and 1 e?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -804*m**2 - m - 1 wrt m?\nAnswer: -1608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**6\/120 + p**3\/3 - 3*p. Let j(q) be the second derivative of v(q). Factor j(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -603 = -2*s + 493. Suppose -w - 28 = s. Let a = 995 + w. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, p: 6, u: 7}. Give prob of sequence suu.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052 plus -1072801.62?\nAnswer: -1072801.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 7899\nAnswer: -4\/2633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 0 - 10) + (-1 - (-2 - -7))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 2215\nAnswer: 2215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2349564*g*x + 3135358*x wrt g.\nAnswer: -2349564*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as -339\/197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/8 and -34\/147154557.\nAnswer: 1177236456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 1 - 4*t + 4*t + 2*t**2 + t. What is d(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-10) + (-1233)\/(-45). What is the highest common factor of v and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 + 4936*q. Let j(r) = 3*r + 41. Calculate d(j(w)).\nAnswer: 18*w**2 + 15300*w + 205738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23674637873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -2, -25.\nAnswer: -25, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 2*l + 5. Let k be f(-3). Suppose -v + k = 5, 48 = 3*b - 5*v. Solve 0 = -j + 2*d - 12, 16 = -j + 5*d - b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12 - 470\/40)*0. What is the closest to z in 2, 0.9, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 2360 + 368. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*t**5\/2 + 157*t**4\/2 + 17*t**3 - 26*t**2 + 4*t = 0 for t.\nAnswer: -2, -1, 0, 2\/9, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40854*m**2 - 20453*m**2 - 20539*m**2.\nAnswer: -138*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 10*k**2 + 19*k - 14. Let j be n(-7). Put 1, j, 5, 6 in decreasing order.\nAnswer: 6, 5, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5430 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 the cube root of 2490281412 to the nearest integer?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 77\/5 of a kilometer?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12108952 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 21*f**3 + 3*f**2 + 3. Let w(i) = 272*i**3 + 40*i**2 + 40. Give 40*c(u) - 3*w(u).\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -10*p**3 - 3*p - 20. Let i(s) = -30*s**3 - 8*s - 59. Let g(w) = 8*d(w) - 3*i(w). Differentiate g(f) wrt f.\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 divided by 1.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2478, -1, -268, 2, 0, -8 in ascending order.\nAnswer: -2478, -268, -8, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, 2, 742813 in decreasing order.\nAnswer: 742813, 6, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 205 = -o + 176, 5*r + 3*o - 219 = 0 for r.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11022100 - 12?\nAnswer: 11022011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69*o**3*r + 132884*o**3 - 34*o**2*r**3 wrt r?\nAnswer: -69*o**3 - 102*o**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 2, -3 in ascending order.\nAnswer: -3, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 + -0.14. What is the closest to m in 2\/9, 0.3, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 + -18. Let l = j - 44. What is the remainder when 19 is divided by 1 - (-4 - 0\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-952)\/816 + -1 + 7\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63.6 + 59.6. Which is the biggest value? (a) 1\/2 (b) 5\/2 (c) q (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + k + 30 = 0. Suppose 5*c = -i + 143, 2*c + 2*i = -0*i + 62. Suppose -h - c = -k*h. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 12*r. Let n(l) = 6*l. Let b(a) = -4*m(a) + 9*n(a). Let k(t) be the first derivative of t**2\/2 + 15. Give k(b(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - (sqrt(104) + (sqrt(104) - 3*(sqrt(104) - 1*sqrt(104))) + sqrt(104)))\/(sqrt(8) + sqrt(64)\/sqrt(32)).\nAnswer: -4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111101 (base 2) in base 4?\nAnswer: -10331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3750457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 1. Let k(u) = u**2 + 2*u - 5. Let v be k(0). Let z = 29 + v. Let b be 1*5*(-6)\/z*-4. What is w(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 110 + -37?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*l**3 - 136*l**3 - 138*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7233505 is divided by 7016.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 407.\nAnswer: 2035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 3*r + 5*r)*(2*r**2 + 3 - 3)*(-r + r - 2*r)*(-2*r + 6*r + 0*r).\nAnswer: -112*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4491044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 7*f**2 - 10*f - 11. Let u be -1*((-13)\/(-13))\/(1\/37). Let q = 45 + u. Give m(q).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/32)\/1)\/(6\/4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 2544?\nAnswer: 33072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/8 (b) 0.2 (c) -2 (d) -0.091 (e) 213\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3010 and 506282?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -0.3, -5 in increasing order.\nAnswer: -5, -0.3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**3 - 8*k**2 + 17*k - 24. Let q be j(-7). Is q not equal to -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (4 - 119\/21). Which is the nearest to -3? (a) 0.2 (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/701162 and -13\/682.\nAnswer: 21736022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7*z - 18. Let u be l(3). Suppose -3*g - x + 2326 = 0, u*x + 782 = g + 5*x. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.7 - 3809815927?\nAnswer: -3809815915.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmw when three letters picked without replacement from ommmwoo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4303 is divided by 1069?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -11 - -3 - -12 - -5 - 7. Solve j*s = -9*s + 77 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*m + 24908*m**2 + 18*m + 20*m + 13 - 30309*m**2 wrt m.\nAnswer: -10802","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 369 = -141. Suppose f + 3 = g. Is 61 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (319\/11*1)\/(-2)*-2?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**3 + 7*q**2 - 2*q. Let d(l) = -14*l**3 - 341*l**2 + 10*l + 6. What is d(s) + 5*x(s)?\nAnswer: s**3 - 306*s**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 6*i**2 - 6*i + 2. What is the remainder when 16 is divided by a(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 39644\/17 - (4\/(-1))\/(-4). Calculate the highest common factor of q and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + 7 - (-39 + 95)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 118441115 and 0.06.\nAnswer: 7106466.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 190 and 2219390?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/25, -30, 15\/26 in ascending order.\nAnswer: -30, 2\/25, 15\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.3 and 12.88434.\nAnswer: 16.749642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oeoooeooeooeoooooe. What is prob of sequence ooo?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1390993099 and -2.\nAnswer: 0.2781986198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 66 = -3*w + 2*t, 33*w - 5*t - 31 = 36*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t + 19*t = -4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 26.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, f: 4, g: 2, e: 2, j: 6}. Give prob of sequence jgff.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3 + 1332*a**2 - 7*a - 198.\nAnswer: 12*a + 2664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 - -3)\/((-1)\/3). Let v be (198\/(-55) - 3\/(-5)) + 23. Find d, given that -15*d + 3*d**3 + 6*d**4 - v*d**4 + 11*d**4 + b*d**2 + 6 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 31. Let y be n(0). Suppose -35*c - 936 = -9*c. Let k = y + c. Put k, 2, 1 in descending order.\nAnswer: 2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 5 + 7*s + 8*s - 4.\nAnswer: 15*s + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3210 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/51 - -12\/17. Let z = -51 - -358\/7. Which is the biggest value? (a) f (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 562 = -0*v + n, 0 = v + 5*n - 550. List the prime factors of v.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - ((5 - (5 - -3)) + (41 - -1) + -33)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twyt when four letters picked without replacement from {k: 2, y: 2, t: 4, w: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -14*o + 17. Let h(t) = -5*t + 6. Let q(p) = 17*h(p) - 6*z(p). Let l(w) be the first derivative of -7*w**2\/2 + 13. Give l(q(x)).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 - 1 + 99*m - 124*m - 7. Let u be p(-12). Solve 0 = 5*n - u*l + 64 - 19, 2*l = -n + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000095 rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*p + 132 + 85 = 61 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 643\/42569 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 4*t - 8, f = 4*f - 2*t + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -5*z - 131. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(220)\/sqrt(4))\/(1*sqrt(500)) - (1 + 1*sqrt(11)*-6 + 5).\nAnswer: -6 + 59*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51704 or 620455\/12?\nAnswer: 51704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 582?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 4. Solve d - 2 = -0, 0 = -i*f + 3*d - 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.059 + -247.\nAnswer: -247.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/714 and -1 - 578\/(-90) - (-5 + 9).\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/(-6) - (-2)\/(-4). Suppose z = 5*u + 27, -f*z + 0*u + 4*u + 54 = 0. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*z**2 + 42*z**2 + 13945*z + 2435*z.\nAnswer: 2*z**2 + 16380*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21 + -417?\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -4. Let c = -4 + 4.15. Let z = c - 0.35. What is the third biggest value in q, -4, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-51)\/(-17)*1294\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49495 is divided by 1177?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 10. Let h be 2 + 2\/2 + z. Let c be 2\/(-9) - 58\/(-18). Solve h*x = c*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/5 and 43\/2238958.\nAnswer: 11194790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 647*b**2 - 2 - 4 + 5.\nAnswer: 647*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -538.41977 rounded to the nearest ten?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*n - 234*n = 1180 - 11515 for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4926887 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521272?\nAnswer: 2, 23, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19891, -2\/7, -0.1 in decreasing order.\nAnswer: 19891, -0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.18, -4\/9 in decreasing order.\nAnswer: 2\/5, -0.18, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6*h = 41, 2*k - 4 - 36 = -5*h. Solve z + 10 = -k*p, -51*p + 46*p - 10 = -z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 4. Let b be g(0). Let h = b + -2. Suppose -3 = -h*u + u. Let p(z) = -z**2 + 3*z + 3. Calculate p(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176236775 to the power of 1\/2, to the nearest integer?\nAnswer: 13275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(10 - 6)\/(-4). Sort -2, 1021, n in descending order.\nAnswer: 1021, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 7*k**2 + k + 5. Let u be i(-6). Suppose -9*o + 8*o = -u. Suppose 5*z + 10 = o. Solve 0 = 4*w - c - 2, 3 = -z*w - 5*c - 7 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -66, -105, -170, -267, -402, -581, -810?\nAnswer: -1095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3 + 26*w**2 + 78*w + 54 = 0. What is w?\nAnswer: -9, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.879*0.7.\nAnswer: -3.4153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -4 (b) -3 (c) 2 (d) 2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of (198\/(-21))\/(62\/(-100471))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (4\/(-30))\/(-2). Let a = 7\/15 + q. Let p = 26560 - 26570. Sort -4, p, a.\nAnswer: p, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.051 + -0.050964. Round x to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -285.85 - -286.25. Which is the third smallest value? (a) d (b) 2.09 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h. Let g(c) = 9637697*c. Calculate f(g(l)).\nAnswer: 9637697*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185285?\nAnswer: 5, 37057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31075295 is divided by 524?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60.5 + -61. Suppose -8 + 0 = -4*i. Let k be i*(-3)\/40*4. What is the biggest value in 4, k, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39.3 times -0.9\nAnswer: 35.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**4*z - j**4 + j**3*z + 488*j**3 + 462*j**2 + 21*z wrt j.\nAnswer: 48*j*z - 24*j + 6*z + 2928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -13. What is the highest common factor of h and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 53*o + 488. Let h be z(-9). Which is the nearest to 1\/2? (a) h (b) -1\/4 (c) 1\/3 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 9*c**2 + c + 11. Let t be a(-9). Suppose t*h + 34 = -8. What is the tens digit of 311\/7 + h\/49?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21800 times 48?\nAnswer: 1046400","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 301091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 7*v**4\/24 - 2*v**2. Let o(u) = u. Give h(o(z)).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-seven quarters of a millennium?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 346.3 to the nearest 10.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 8) in base 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 592 - 710 = 0. What is the remainder when o is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 31*s**3 + 39*s**3 - 68*s**3 + 4.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-28) - (-4)\/(-14))*6. Let u(h) = -h**2 - 5*h + 4. Let a be u(j). Suppose w - a = -0*w. Solve 2*k + 2*z = w, -6*z = -3*z - 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2238 - 2248 = f - 4*i, 5*f - 2*i = -14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72*h + 266 + 18*h**2 + 77*h + 131 wrt h.\nAnswer: 36*h + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 5 = y, -3 + 1 = -2*y + 2*t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 + -0.3. Let r(w) = w**2 + 3*w - 6. Let n be r(-5). Let l = -0.0416 - -0.0416. What is the nearest to l in n, 1\/4, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5*x**2 - 1141*x + 1386977. What is h(-653)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 22 = -5*x, 4*x = 5*x + 5*s - 26. Suppose 2*c + 9 = 5*c. Suppose -2*q - 2*g - 1 = -9, 0 = 5*q - c*g - 28. Solve q*r + x = 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117 + -114. Find the third derivative of -131*t**2 - 142*t**2 + 280*t**2 - k*t**4 wrt t.\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*h + 45*h - 22*h - 10*h - 4107 + 270 to q + a*h and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -364455 - -5?\nAnswer: -364450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 10830*m - 21661*m + 10831*m - m**2. Let j(u) = 151*u. Determine b(j(l)).\nAnswer: -22801*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -179*(-3648)\/190 + (-4)\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14609, -14613, -14621, -14633?\nAnswer: -14649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -186 - -185.99999748. Round q to seven decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 956.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/6228 and -43\/30552.\nAnswer: 15856488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/11 + 106*q**2\/11 - 304*q\/11 + 200\/11.\nAnswer: -2*(q - 50)*(q - 2)*(q - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by 37\nAnswer: 23\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 230569615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4409511 is divided by 296.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7175 - -7355. Calculate the remainder when b is divided by 177.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 40*s + 11602. Let t(i) = 15*i**2. What is r(t(j))?\nAnswer: 600*j**2 + 11602","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 - 73 = -q - 8*o, 16 = 3*q + o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tpmmpn. Give prob of sequence tnnm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3*2240\/(-840)?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 5*t**2 + 4*t + 5. Let w be ((-3)\/(-9))\/(1\/18). Let b be w*-1*(-10)\/15. Let u be a(b). Calculate the greatest common divisor of 40 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljjbjbbjbbj. What is prob of sequence bb?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 45*z. Let c(o) be the third derivative of o**7\/1260 + o**5\/60 - o**3\/2 - 3*o**2 - 32. Let p(l) be the third derivative of c(l). Determine d(p(i)).\nAnswer: 180*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z + 30. Let u = 143 + -99. Calculate the remainder when u is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (158 + -2)*((-5760)\/(-54) - 6)?\nAnswer: 2, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16829 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from {j: 6, x: 3, r: 9, v: 1}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, h: 4}. Give prob of sequence hhg.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1107120781.\nAnswer: 13, 59, 61, 23663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-345)\/(-138)*(-6)\/9.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -180705*c**5 - 129*c**3 + 2*c - 62763976 wrt c.\nAnswer: -3614100*c**3 - 774*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 2*c - 78, -2*q - 2*c - 2*c + 30 = 0. Let r = -16 + q. Suppose 5*w - k - 740 = 0, -3*w + 770 = 2*w + r*k. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 52 = 4*q, 9 = 2*b - q - 23. Let p = 1107 + -1085. What is the least common multiple of p and b?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + l + 2 + (-3*l + 19*l - 4*l)*(-5 + 4 + 2) + 4*l + l - 4*l in the form h + d*l and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -0.05, 5 in descending order.\nAnswer: 5, -0.05, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2446118471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 65 = -21*g + 16*g, 2*d + 12 = g. Calculate the greatest common factor of 2947 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*r + 8*r + 63. Calculate the remainder when 102 is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 6. Let k be (-3)\/(-6)*6*-1. Let t be ((-198)\/12)\/(k\/18). Calculate the greatest common divisor of t and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 507.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-32)*((-4628)\/1068)\/(13\/(-12))\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*j**2 - 54*j**2 + 109*j**2 + 8 as v*j + a*j**2 + p and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -456663 - 834792. Let o = u - -1291444.00013. Let q = -11 - o. Round q to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - h - 26 = 0, -2*u - 31 = -3*u + 5*h. Let t(x) = -13*x**2 - 62*x + 23. Calculate the lowest common multiple of t(-5) and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -44708.\nAnswer: -44713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + -30. What is the remainder when 53 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - 1)*2\/(-4). Let z(t) = 2*t**3 - 17*t**2 - 71*t + 563. Let n be z(9). Suppose 3*o = 15, k*l - n*l + 2*o = -350. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 351822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24379 + -15490. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o - 8. Let t be 93\/(-12) + 4\/(-16). Let b be u(t). Calculate the highest common factor of 40 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = -5*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -387 and 274.\nAnswer: -106038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57252932 and 2332.\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/199, 5, 1\/10333, 2\/11?\nAnswer: 4\/199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 6:14 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 9:51 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-192)\/1280)\/(6\/(-8))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 112638.03 to the nearest one thousand.\nAnswer: 113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 7\/22, -0.6.\nAnswer: -0.6, 0.05, 7\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -35 and -32 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*y**2\/5 - 2107686*y\/5 - 90641592\/5.\nAnswer: 6*(y - 351324)*(y + 43)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26026 is divided by 12430?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 649, 2, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/155*(-682)\/66.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.08131 - -0.18131. Suppose -5*c - 15 = -4*x, 3*x + 2*x - 3*c - 22 = 0. Suppose 0 = -5*b - d - 3, -b = -4*b - 4*d + x. Is y equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 - 20*l + 8. Let p be q(10). Suppose 5*t - 3*t - 24 = 0. What is the greatest common factor of t and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 5625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*b - 5*n + 35, 2*n - 44 = -b. Let a = 26 - b. Is 3 a factor of (-3)\/a*6*20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 16\/6 - (-16)\/(-24). Let y be (-4 - -4)\/(b + 0). Suppose y = -5*i - 5*g + 490, -8*g - 182 = -2*i - 3*g. Does 25 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*j - 6 = 0, 0*j - 4*j = 3*u + 29. Let g = -2 + -3. What is the third smallest value in u, g, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*t - 41*t - 53*t - 47*t - 50*t + 290*t - 44*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/8)\/(w\/w**(-6\/7)))\/(w**(3\/4)*w)**(-38) assuming w is positive.\nAnswer: w**(3599\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17996813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1373000 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(196))\/(sqrt(1225)\/sqrt(7) + (-1*sqrt(28))\/sqrt(4)).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 - 64. Let b be ((-3)\/4)\/((-57)\/152) - -1. Solve -6*a = -j*a + b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -66 - ((1 - 4) + (-37 - -49))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4213595459 to the nearest integer?\nAnswer: 64912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 2*w**6\/15 + 88*w**5\/5 + 840*w**4 + 59584*w**3\/3 + 252448*w**2 - 3010*w. Factor i(p).\nAnswer: 4*(p + 14)**3*(p + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 5*p - 43 = -12*s, -30*s = -25*s - p - 4*p + 45 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -710*v**2 + 15*v - 4*v + 714*v**2 + 1 + (-2*v + 0*v + 0*v)*(1 - 1 - 2*v).\nAnswer: 8*v**2 + 11*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 - m**2 + 5 + m - m**2 - 4 + m**3. Let i be t(4). Suppose 0*b + 10 = i*b. Put b, 5, -5 in decreasing order.\nAnswer: 5, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -384, -1566, -3548, -6330, -9912?\nAnswer: -14294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00018745903 to five dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 291*l**3*n + 412*l**3 + l*n**3 - n wrt n.\nAnswer: 291*l**3 + 3*l*n**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**3 + 77005*x**2 + 3531650*x = 0.\nAnswer: -15355, -46, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*v + 22 - 78. Suppose -2*u - 3 = -v, u = 5*m - 2483. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24640 and 740.\nAnswer: 911680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -324061?\nAnswer: -324061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -14*z**3 + 111*z**2 + 6*z + 12. Let f be t(8). Put f, -2, -32 in decreasing order.\nAnswer: -2, f, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 1. Let g = -1 - v. Solve -5*y - 2*x + 29 = 0, g*y - x = 5*y - 27 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 61 = -2*c, 355*n - 352*n = -2*c + 37. What is the greatest common divisor of c and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15883 + 25?\nAnswer: 16018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -2.5 (c) -0.5 (d) -0.4 (e) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/356220 and -23\/4920.\nAnswer: 29210040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39895938?\nAnswer: 2, 3, 23, 29, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -y + 2*y + 0*y + 0 - y + 0 + (0 - 1 - 1)*(-2*y + 0*y - y) + y - y + 3*y + (-2 - 3 + 3)*(0 + y + 0) + 101 - 101 - 35*y in the form k*y + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 16*r**2 - 18*r + 120. Calculate the least common multiple of i(11) and 136.\nAnswer: 4216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 6:03 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 9*k + 2. Let o be d(-9). Suppose o*z - 44 = -0. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -28. Suppose -7*u = -3*u + a. Let d be 3 - (3\/u - -2). Solve 0 = -d*v + 3*v - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-470)\/2*(-1 + -1)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -20 (b) 55 (c) -3651 (d) 5 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -19 (b) 0.1 (c) -9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21200112 + 1200?\nAnswer: 21202012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 5*o**2 - 3*o - 13. Let c be p(-9). Suppose -29*w - 64*w + 2418 = 0. What is the highest common divisor of w and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -56568 and -113135\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5918 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.32*-0.5.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 9)*(-4*z**2 - 14*z + 14*z) to s + j*z**2 + k*z and give j.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) -0.4 (c) 939\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 70*r**2 - 171*r - 291. List the prime factors of y(-71).\nAnswer: 7, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*3 + sqrt(320)*-4)\/(-4*sqrt(20)\/((sqrt(32)\/sqrt(4) - sqrt(8)) + sqrt(8))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, y: 3, d: 1, z: 6, h: 2}. What is prob of sequence yd?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2278*g**3 - 264*g**3 + 1280*g**3)*(-4*g**2 + 4*g**2 + g**2).\nAnswer: 3294*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h - 1002 = -38*h. Let y = h - 499. Solve -14 = -y*k - 5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0977 and -216.468.\nAnswer: 21.1489236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -3 (c) 2\/5 (d) 40313\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 10) to base 11\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3760*y**3\/3 - 11236*y**2\/3 + 7388*y\/3 + 88\/3 = 0.\nAnswer: -11\/940, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74 - 74.147. Let i = -0.047 - q. Which is the biggest value? (a) 0 (b) 5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21151, -42055, -62711, -83119, -103279, -123191, -142855?\nAnswer: -162271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 28*m**4 + 15980*m**3 - 68884*m**2 + 66676*m - 13800 = 0.\nAnswer: -575, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(54\/4)*666\/444.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/15*10)\/(-2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffffffbfff. Give prob of picking 4 f.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - u)*(-3*u + u + 0*u) - 3*u**2 + 4*u**2 + u**2 + (0*u + 0*u + u)*(16*u - 67*u + 31*u).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3600386725 to the power of 1\/2, to the nearest integer?\nAnswer: 60003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.4546537986 and -1020.\nAnswer: -1016.5453462014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93377.59 tonnes to nanograms.\nAnswer: 93377590000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 188*y + 193*y + 5*y**2 + 15*y**2 + 3 + 9*y**2 in the form g + r*y**2 + z*y and give r.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -2\/3*n**3 + 1\/20*n**5 - 4*n**2 + 0*n + 0*n**4 + 0. Differentiate o(d) with respect to d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -6. Let x be (-5 + k)*(9 + -1). Let p = -8 + x. Which is smaller: p or 5\/6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8706484?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + -12. Let k(p) be the first derivative of -p**3 + 3*p**2\/2 + 8*p - 7. Let z be k(-3). Is s less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1108 - 1456 = -174*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 81 = 21. Suppose -6*o = -3*o + y. What is the closest to -1 in 0.2, o, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/6)\/(r**(2\/55)\/r))\/(r*r\/(r\/r**(6\/7))*r*r*r\/(r**25\/r)) assuming r is positive.\nAnswer: r**(46061\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7326027 - 19024220 = -559*m. Does 91 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 1:02 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6)*9\/(-3). Suppose 0 = -5*w - q - q + 9, -4*w + q = -2. Calculate the remainder when 34 is divided by 19 + n + w + 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/449983455 and -53\/34803.\nAnswer: 4049851095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1903596?\nAnswer: 2, 3, 158633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 6*(-6)\/(-20). Let c = 23.5 - 23. What is the third smallest value in 8, c, x?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5862 divided by 14?\nAnswer: -2931\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2480 is divided by 622?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 271 = z - 2*w, -2*z + 2*w + 112 = 0. What is the remainder when z is divided by (-6)\/8*(-120)\/5?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microsecond in nanoseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.7 + -2.1. Let q = 0.13 + 8.87. Let d = -14 + q. Which is the smallest value? (a) t (b) 4\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xt when two letters picked without replacement from dxjtj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 2*m + 3. Let r(b) = -b**2 + 5*b - 6. Let g be r(5). Let p be 10\/g + (-1)\/3. Calculate w(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5491?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2 (b) 4 (c) 2.9184268 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/12)\/((-4)\/(-6)). What is the second biggest value in 0.2, -0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27\/31, 136, -57.6 in decreasing order.\nAnswer: 136, -27\/31, -57.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 81876, 266.\nAnswer: -2, 266, 81876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, a: 4, u: 2, m: 3, y: 1}. What is prob of picking 1 m and 2 a?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 19*v**2 + 20*v - 76. What is j(18)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4898655, 19594940, 44088749, 78380082?\nAnswer: 122468939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from jfwwwjfwjfjwjf?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2, -0.082, 5, -1, -0.059, 1\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(119) + 3*sqrt(119)*-2)\/sqrt(7))**2.\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 28*c + 13. Let f(d) = -55*d - 24. Calculate 6*f(r) + 11*o(r).\nAnswer: -22*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-364)\/357*6 + 6.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 84.5?\nAnswer: -84.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35, -68, -101, -134?\n\"Answer: -33*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.064 and 437831.\nAnswer: -28021.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 35*n - 317. Let m be p(-22). Which is greater: -148\/5 or m?\nAnswer: -148\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2, -428, -858, -1288, -1718, -2148?\n\"Answer: -430*u + 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5420 (base 9) to base 6.\nAnswer: -30243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 6 + 10 = 0. Let h be (-984)\/(-84) + x\/(-14). What is the third derivative of 0*f**2 + 3*f**2 - f**2 + h*f**4 - 3*f**2 wrt f?\nAnswer: 288*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 353 in decreasing order.\nAnswer: 353, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -13*l - 2*l**2 + l**2 - 11 - 7*l - 28. Let a be r(-15). Is 37 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1473 * 683.6\nAnswer: -1006942.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -975\/47? (a) -4\/3 (b) -6\/13 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1484 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 13*u**2 + 22*u - 7. Calculate x(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 786535905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1076, -4305, -9686, -17219?\nAnswer: -26904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -15863089 divided by -97\nAnswer: 163537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**2 + 5*i + 3. Let f be x(-1). Solve f*o - 38 = 5*m - 9, 0 = -2*o + m + 10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 11:24 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/15)\/t)**(-2\/13))**2 assuming t is positive.\nAnswer: t**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(650)*4)\/((sqrt(8) - sqrt(2))*-4).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019341 rounded to 4 dps?\nAnswer: -0.0193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1288326990?\nAnswer: 2, 3, 5, 1277, 33629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2012749.\nAnswer: 17, 197, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**3\/3 - l**2\/2 - 17*l + 10. Let g be n(-8). Let v(m) = -m**3 - 9*m**2 + 7*m - 9. Let x be v(-9). Which is smaller: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v. Let w(g) be the second derivative of 0*g**2 + 1\/12*g**4 + 0 + 0*g**3 + 3*g. Calculate w(a(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.88 - -0.12. Let r = 2.02972 - 0.02972. Put -211, r, o in ascending order.\nAnswer: -211, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from sbiisbsbbbii.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -48752\nAnswer: 3\/48752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 46082651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/4415 and -39\/187196?\nAnswer: 935980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 12 = 4*x, 2091*n + 21 = 2084*n for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*p - 9*i + 4*i, 5*p - i - 29 = 0. Which is the closest to 0? (a) 3\/8 (b) 0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 0.3. Let r = 63\/2 + -32. Which is the nearest to r? (a) 0.1 (b) 0 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -89*a**3\/3 + 7*a - 41. Find the first derivative of r(h) wrt h.\nAnswer: -178*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 61 (b) -412 (c) -0.5 (d) -1 (e) 0.3 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 18 - 20 + w - 2*w + 4*w. Determine u(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0*-2*10\/(-60) - -19568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 2*c - 2*i + 5*i, 4*i = 5*c - 73. Let y = c - 29. Let m = 15 + y. Calculate the remainder when 11 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17797?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 156.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6920013 to the nearest integer?\nAnswer: 2631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 10:03 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1) + (4 - (-12 + 16))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 8 + 0)*(-f + 5*f + 2*f)*(-1 + 0 + 0).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18711?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 y when four letters picked without replacement from {y: 3, w: 3, u: 4, e: 3}?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**2 - 42*o + 44. What is u(-15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*t - 187 - 199, -5*m = -t - 1957. Are m and 1178\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 62008, 124900, 187792, 250684?\n\"Answer: 62892*r - 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (40\/(-44))\/(-5)*11\/1. Suppose 0 = 4*x + j*k + 136 - 372, -298 = -5*x - k. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13924800 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -590 - -1185. Suppose -18*z - 2659 = 725. Let i = a + z. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -4*p + 24, 4*g = g + 3*p - 24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from zcocmvccvvccvvvvvm.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 770 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43473202 to the nearest integer?\nAnswer: 6593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -6*x + 7*x - 3*l, -3*x - 3*l + 21 = 0. Let p = 98 + -68. Suppose -5*w + 2 = -2*f, 4*f + f = -5*w + p. Put w, 0, x in decreasing order.\nAnswer: x, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-3)\/1*1)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19446 and 27?\nAnswer: 175014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34911*g + 48069 = 34914*g. What is the greatest common divisor of g and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q - 34 - 3*q**2 - 2*q**2 - 63 + 9*q**2 + 0*q. What is the tens digit of o(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1381\/117 + -139\/13. Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from hccchc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*i + 4*k, -5*i + 16 = 3*k + 14. Let y(h) = 2*h**3 + 2*h**2 - 3*h - 3. Determine y(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7488*j - 6392 = -7300*j for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4 - (-201)\/4422 - (2 - 1).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*c + 1. Is -7\/5 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1353442678?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-5)\/(t\/(t\/t**(-3)*t)))**32)**37 assuming t is positive.\nAnswer: t**(-1184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 5*x - 597 = 0, -305452*o + 305451*o = x - 73 for o.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(704)*-2 - sqrt(704))**2 + sqrt(88)\/(sqrt(288)*-2) + 4.\nAnswer: -sqrt(11)\/12 + 6340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099401079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25586, 51200, 76814, 102428, 128042, 153656?\nAnswer: 179270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b**4 + 0*b + 0 + 2\/3*b**2 + b**3 - 1\/3*b**5.\nAnswer: -b**2*(b - 2)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18650859, -18650854, -18650847, -18650838, -18650827, -18650814?\n\"Answer: s**2 + 2*s - 18650862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*k**5 + 50422 + 64*k**5 - 50414 - 2*k + 2*k + 2*k**5 + 0*k + 0*k - 2*k**5 + (-3*k**3 - 2*k**3 + 3*k**3)*(k - 2*k**2 - k).\nAnswer: 103*k**5 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nnnnnnnnnnnnlnnnnl?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6314 (base 12) in base 9?\nAnswer: -15747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(((-210)\/(-28))\/((-3)\/(-1)))\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-5)\/p*p*p*p**(-4)*p)**(28\/5) assuming p is positive.\nAnswer: p**(-168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529322 to the power of 1\/2, to the nearest integer?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 4*l - l - 6, -3*l - 3*p + 6 = 0. Suppose 3*u - 54 = -4*o, -o + 54 - 13 = l*u. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z = -l + 13, -4*l + 32 = -3*z. Suppose -l*i = 136 - 1001. Is 22 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 31*b**2 - 107*b - 12. Suppose 0 = 2*f + 5*a + 84, f + 24 = -4*a + 6*a. Let m be g(f). What is m rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/14 and 59\/98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (6 + (-12380)\/(-840)) - 6\/(-63)?\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*g**5 + g**5 + 3*g**5)*(-16 - 13 - 33).\nAnswer: -124*g**5 + 124","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.550256 to two dps.\nAnswer: -30.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -0*n - 5*s + 25, n = -2*s + 7. Suppose 2*b - 6*b - x + 124 = 0, 4*b = n*x + 108. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24158 (base 10) to base 2\nAnswer: -101111001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2, -0.4, 18811, -4\/25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 7*x**2 + 4. Let b be -7*3\/6*2. Let f be u(b). Let a be (-7)\/(-5) + (-4)\/10. Solve 2*s - 8 = -f*k, -k + 1 + a = 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c + c)*(-3 + 1 - 4) + 6 - c - c + c.\nAnswer: -7*c + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 25\/4*c**4 - 1 + 0*c**2 - 34*c + 0*c**3. Differentiate o(s) wrt s.\nAnswer: 75*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2140018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-7)*d)\/(d**(-1\/9)\/d))\/(d\/d**(-1))**(-3\/4))\/(d\/d**(-1\/8)*d*d*d**(2\/31))**(-39) assuming d is positive.\nAnswer: d**(270077\/2232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 543153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.1, 10\/9, 2, -4\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 7. Let w(i) = 0 - 12 + s - 9*i - i**2. Calculate the remainder when 13 is divided by w(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54028274 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 159693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*j**3 + 0)*(3*j + j - 2*j)*(294 - 11 + 750) to the form c*j**3 + v*j + u*j**4 + r*j**2 + b and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -18 + -6084526\nAnswer: -6084544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000452 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2752649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 13 = 1. Let m = 1 + 1. Which is the closest to -2? (a) g (b) 0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 81822 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 8127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**3 + 3*b**2 - b - 1. Suppose -10*g + 6*g + 12 = 0. Let d(t) = 4*t**3 + 4*t**3 - t**2 - g*t**3 - 6*t**3 + t. What is -a(v) - d(v)?\nAnswer: -2*v**3 - 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -4*x + 16, 988*x + 167 = 4*m + 939*x - 27 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 37?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -321571*l - 73678?\nAnswer: -321571","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 87 + 76 - 13. Let c be 4\/10 + 6\/(-15). Let m be h(c). Round m to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11404112 (base 5) to base 3.\nAnswer: -12102110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46 - -13636?\nAnswer: 13570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*o. Let a be (-1130)\/(-18) - (-10)\/45. Let r = a - 38. Solve 5*u - 2*k = -35, o = -2*k - 3*k + r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 616780 and 520?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5764 - -4?\nAnswer: 5768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8292244306 - -4.4.\nAnswer: 3.5707755694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -61101 take away 0.9984497?\nAnswer: -61101.9984497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 + -12?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**3 + 3*a**2 + 3. Let c(j) = -j**3 + 31*j**2 - 3. Let s be c(31). Let i(y) = 8*y**3 + 10*y**2 + 10. Calculate s*i(g) + 10*p(g).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + ((-20)\/6)\/((-30)\/45).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (63\/(-147)*4\/3)\/(17\/(-2261)*1)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 106*u - 3 + 3 - 250*u + 143*u. Let p be ((-2)\/4)\/(-1)*0. Suppose 2*m = j - 7, -j + 3*m = -p*j - 9. Let z(r) = r. Calculate j*o(l) + 4*z(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s**2 - 3*s - 3. Let h be j(-2). Solve r = 3*m - r - 11, -5*m + h = r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*z + 27*z - 3*g - 138, -3*z - 206 = 5*g. Let q be (-1)\/1 - (-209)\/(-3). Which is greater: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 241666565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, 58, 5, 19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -716.4 - -798. Let c = 95 - g. Round c to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from {s: 3, c: 8}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*o, 7*o - 2*o = 2*w + 10. Solve -4*k + 6 = 2*r, w*k - 5*r = -k - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 67, 0.3, -2.523?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2516*l - 597*l + 2077*l - 1307*l + 4405*l.\nAnswer: 7094*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 73267, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 + 29*s + 18. Let z be d(15). What is the second smallest value in z, -7, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/7 (b) -4 (c) -5\/3 (d) -3 (e) -13\/6 (f) -1\/212\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 12 = 2*b. Let k(w) = -6*w**3 - 7*w**2 + 7*w - 7. Let s(n) = n**3 + n**2 - n + 1. Determine b*k(o) - 21*s(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 5*g + 3, 3*g = v + 39 - 43 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -2 + 0 + 3. Suppose 0*q = i*q + 4. Let x be q\/30 - (-6)\/15. What is the biggest value in 1\/10, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + c - 1 + 66 = 0, 0 = -4*l - c + 52. Suppose -q = -3*h + 104 - l, -4*h + 3*q = -113. Suppose 26*s = h*s - 1014. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 9:11 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**3\/6 - 32842*b**2\/3 + 131371*b\/6 - 32843\/3 = 0?\nAnswer: -65686, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1083\/(-228)*2\/38.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - -7) + -7 - -43. What is j rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**5\/60 - s**4\/6 - 20*s + 2. Factor f(l).\nAnswer: -l**2*(l + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1008 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -135093 + 248903. What is q rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*s + 174*s**2 - 255*s - 176*s**2)*(6*s**2 - s**2 - 3*s**2).\nAnswer: -4*s**4 - 612*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55221 - 30275. Is 56 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 83 = -3*n, 3*a - 84 - 35 = n. Suppose a - 159 = -17*j. Solve 7*l + 29 = -5*b + 3*l, -b - j = 2*l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 4*n**2 - 2*n + 9. Let l be r(4). Let u = -1540 + 1538. What is the nearest to l in u, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54305 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.127 - 12491242996?\nAnswer: -12491242996.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 0*b + 40\/3*b**3 + 7*b**5 - 95\/4*b**4 + 1 + 10*b**2. Factor a(o).\nAnswer: 5*o*(o - 2)*(o - 1)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.3 and -223308.\nAnswer: -223304.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-11 - (11 + -20)) + (-24 - -12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47 and 7.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3351*p - 1 + 9 - 3351*p - 2*p**2 as j*p + i*p**2 + v and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i**3 - 2*i**2 - 4*i - 2. Let l(g) = -8*g**3 + 3*g**2 + 5*g + 1. Determine -4*l(f) - 5*n(f).\nAnswer: -3*f**3 - 2*f**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -2*v - v + 3*p, v - 3*p - 42 = 0. Suppose -3*w - 3*a = -v, -2*w = -3*a - 41 - 5. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18129 - 18074. Put -5, q, 1, 2 in decreasing order.\nAnswer: q, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2 - 184*h + 185 = 0. What is h?\nAnswer: -185, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vxxjj. Give prob of picking 1 v, 1 x, and 2 j.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 17 = 5*p. Let j be p + 12\/2 + -6. Put -1, j, 2, -4 in ascending order.\nAnswer: -4, -1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-200)\/(-44) + 3*(48\/9)\/(-4)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**(1\/7))\/(b*b**(-21)*b))**(-5\/6))**(3\/28))**24 assuming b is positive.\nAnswer: b**(-2085\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 - 3*a**2 - 4. Let j be k(-3). Suppose 20 = 4*t + 4*v, -6*t = -t + 3*v - j. Find the third derivative of 4 - t + 2*u**3 + u**2 wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**3*z**2 + 10981*o**3*z + 216801*o**2*z + 2*z**2 wrt o.\nAnswer: 6*z**2 + 65886*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.283589 + 1176.373589. Let q = l - 1170. Let r = q - 0.79. What is r rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - -7. What is the remainder when 1 + (2 + -9 - -75) is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.5 * 0.168452.\nAnswer: 1.937198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-580)\/104*384\/(-10). Let f = -214 + w. Let q = 0.43 + -0.03. What is the third biggest value in q, -0.4, 0.07, f?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68963271 to the power of 1\/2, to the nearest integer?\nAnswer: 8304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3788087 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (186\/(-180) + 1)*(-20)\/8. Let h(s) be the second derivative of 0 + m*s**3 - 1\/48*s**4 - 5*s + 0*s**2. Factor h(z).\nAnswer: -z*(z - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 9*r - 153. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 1\/23 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*t*w**3 - 5*t*w - w**4 + 52*w**3 + 2*w**2 - 3535*w wrt w.\nAnswer: -60*t*w - 12*w**2 + 312*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40 - 40 - 7*h**3 - 10*h wrt h?\nAnswer: -42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 4*v**4 + 1072996*v**3 + 71984879596*v**2 + 3668438527404*v = 0.\nAnswer: -134099, -51, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 224786395.4 to the nearest 1000000.\nAnswer: 225000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-two fifths of a kilometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -831491 (base 10) to base 9\nAnswer: -1506528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h - 160 + 160. Let i(t) = 16*t**2. Determine i(y(o)).\nAnswer: 576*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - y + 3*y)*(0 + 0 - 2)*(-158*y**2 + 131*y**2 + 130*y**2).\nAnswer: -412*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*r + 21, g - 12 = 2*r + 5*g. Let p(y) = 6*y**2 - 2*y - 1. Calculate the remainder when p(-1) is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 449 or 2370?\nAnswer: 449","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is -8082.9 rounded to the nearest 100?\nAnswer: -8100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2 + 13*g - 8. Let v be o(6). Let z be v + 69 - (3 - 6). Let c = 319 - z. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-5 - -4) + 7 + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/640*-56*(-188)\/28?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0.3, 0.4, -0.3, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 5*v**2 + 16*v + 17. Let f be k(-7). Solve -16 + 7 = f*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a microgram in nanograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.36 and 2711.\nAnswer: -6397.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*-2*(-2*sqrt(133) - sqrt(133)))\/(sqrt(56)\/sqrt(392) - (-3*sqrt(63) - sqrt(63)))*-5.\nAnswer: -504*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 20910099\nAnswer: -20910097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2700282725.1 + -0.9.\nAnswer: 2700282724.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 66045 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 339738, 679476, 1019214, 1358952, 1698690, 2038428?\n\"Answer: 339738*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5136 - -1897. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0032, 3.2, -282.5.\nAnswer: -282.5, -0.0032, 3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -180, 6, 2 in ascending order.\nAnswer: -180, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5 + 46*w**4 + 3702*w**3 - 85526*w**2 - 500780*w - 411600 = 0 for w.\nAnswer: -42, -4, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 64 = 4*n. Suppose -3*s + n = 4. Which is the biggest value? (a) s (b) 5 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - y - y = -1780, -3*y + 591 = m. Let s(p) = 76*p - 6546. Let r be s(87). What is the greatest common divisor of r and m?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 234 + -234.127. Let x = 0.627 + m. Which is the third smallest value? (a) -0.4 (b) 2 (c) 0.1 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 5*p + 18 = y - 34, 8 = -5*p - 17 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 14078 times 112.1\nAnswer: 1578143.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 43078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 + 0 + (1 + 44 + 14)*(1 + 2 - 1))*(-2 + 2 + 3)*(-3*b**2 + 2 - 2) to n*b + w + v*b**2 and give v.\nAnswer: -1098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4*c + 14, -3*l + c = 3*c - 1. List the prime factors of 715 + ((-5)\/(-1) + -4 - l).\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388256?\nAnswer: 2, 11, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 19\/2 (c) 874\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/5)\/(2\/3). Let m = h - 2. Suppose -7 = -r - m. 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: Is 5897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21191200 rounded to the nearest one hundred thousand?\nAnswer: 21200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-3) - 1918\/(-6). Let f = 488 - s. List the prime factors of f.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 14*x**2 - 13*x - 21. Let h be k(15). Solve -26 = -2*u + 5*g - h, 0 = -4*u - 5*g - 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + z = 75, 5*z + 8 = 2*p - 13. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38045?\nAnswer: 5, 7, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -25827*p**2 + 757592*p - 34436. Let q(x) = x**2 - 22*x + 1. Let g(l) = 34436*q(l) + u(l). Let d(s) = 2*s**2. Determine d(g(j)).\nAnswer: 148229762*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -11\/7, 1\/8, -11, 1\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5273980 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 39292, 1\/10, -3, 1\/2, 2\/15?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3368073.\nAnswer: 3, 19, 37, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14821956 to the power of 1\/2, to the nearest integer?\nAnswer: 3850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19766 - -19766. What is the nearest to c in 3\/7, 1\/3, 407?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -507, -0.2, 2\/3, 543?\nAnswer: 543","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -733*d - 3308 - 2905 = -231*d - 691 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.1 (b) 86 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3191223*y**4 - 2*y**2 + y - 4801494?\nAnswer: 12764892*y**3 - 4*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65763095 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + v = -5*n + 24, -5*v = 15. Let y(w) = 2*w + 7. Let r be y(6). Let o = n - r. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(192)*1 + (sqrt(192) + sqrt(192) + 1 - sqrt(192))*-3 + (-5 + sqrt(192) + 1 + (sqrt(192) - (sqrt(192) + 0 + sqrt(192)))*2)*-6)**2.\nAnswer: 1216*sqrt(3) + 3433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 397 (base 10) to base 14.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*r = 28505 + 46196, 5*b + 4*r - 74713 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 143 + -138. Solve g*z = -0*z + 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274135 (base 8) in base 12?\nAnswer: 47911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 - 144*s**2 - 5*s + 142. Let k be c(-73). What is the highest common divisor of 609 and k?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 63461795 and -573.\nAnswer: 63461222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 17 = 17. Suppose 5*s + 10 = u, -3*b = 3*s - 0*s + 6. Solve 5*r + 2*o + 4 + 22 = b, 4*r + 3*o + 25 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(112) - sqrt(112))**2*-3 + 1 + 4 + (-2*(-5 + sqrt(112) + sqrt(112)*-2))**2*-2.\nAnswer: -2435 - 320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 2*p - 105. What is the highest common factor of 46 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -401444014 (base 5) to base 4\nAnswer: -12011010202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w + 4*w = -36 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 753*t**2. Let s(u) = -38*u. Give s(x(w)).\nAnswer: -28614*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178326 - 4*p**3 + 184*p**2 + 3*p**3 - 178326 - p**2.\nAnswer: -p**3 + 183*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592975 is divided by 296438?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**2 + 40925*s - 409750 = 0.\nAnswer: -8195, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**3 + 17*i**3 - 8*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 12 = 2*k, -5*y + 3712 = k. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4082110485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-75))\/(14\/(-70)) - (-76)\/20.\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1167*i - 97344 = -1011*i + 1156*i + 2744*i for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 21*j**2 - 3*j + 4. What is the tens digit of a(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -22, -11, -1, 4, -5, 19 in decreasing order.\nAnswer: 19, 4, -1, -2, -5, -11, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/22 + 12\/66. Let w be (-4)\/(-18) + (-33)\/27. Is 58 + 6 - (w - q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 327?\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**5 + 120*w**4 + 790*w**3 + 460*w**2 - 3795*w + 2420 = 0?\nAnswer: -11, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 4 + 6)*(2*h - h + 0*h) - 10*h + 5*h + 3*h)*(-1 + 1 + 3) to the form o + w*h and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -8)*(-24)\/(-18). Let w(z) = 14*z. Let q(c) = c. Let u(y) = h*q(y) - w(y). Let a(f) = 7*f**2. What is a(u(o))?\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -1.07.\nAnswer: 4.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326 = -11*o + 4. Solve -3*b + 3 = 5*f - 2, -4*b = -5*f - o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 24 = -8*p, 0 = -5*s - 3*p + 37702. Is s a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 11:49 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*i + 6 = 246*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, n: 2, t: 4, j: 1}. Give prob of picking 1 j and 1 n.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 12:51 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/11 + 10782*f\/11 - 318052.\nAnswer: 2*(f - 307)*(f + 5698)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(153)*1 - -5*sqrt(153)*-1)\/(sqrt(63)\/sqrt(112) + -6*(sqrt(9) + sqrt(9) + sqrt(27)\/sqrt(3))).\nAnswer: 40*sqrt(17)\/71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uj when two letters picked without replacement from {t: 1, u: 1, j: 2, p: 2, y: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 54*w - 41. Let h be r(3). Let j = -123 + h. Is j less than 0.52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*a**2 + 12*a**2 + 7*a**2 + 3 to the form r*a**2 + x*a + l and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/4)\/((-54)\/(-168)))\/(80\/90)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-6 - (0 - ((-2 - 3) + 17)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1070, -1177, -1284?\nAnswer: -1391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54 - (-83 + 49)) + -73.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797106 is divided by 12263.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*sqrt(50) + sqrt(2) + -3*sqrt(288) - (sqrt(12) + -4*1*sqrt(12))\/((sqrt(168)\/sqrt(4))\/sqrt(7))).\nAnswer: -141*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = u - 227 + 241, 20 = 2*u + 2*s for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b**2*q**2 + b**2*q + 1989*b**2 + 15*b*q**2 - 7*q**2 - 2*q wrt q?\nAnswer: 8*b**2 + 30*b - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 268c?\nAnswer: 268b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -5, 0 = 3*t - 0*t + v + 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**7\/30 - j**6\/30 - j**5\/4 - j**4\/12 + 51*j**2. What is the third derivative of l(m) wrt m?\nAnswer: -168*m - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*p + 2*r, -18 - 3 = -5*p + 4*r. Suppose -3 = -5*n + 7. Let u = 1 + n. Solve 2*b = f + b - 7, -11 = -p*f - u*b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24943687, -24943685, -24943683, -24943681, -24943679?\n\"Answer: 2*p - 24943689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 98\/10 - -1 - 2\/(-10). Suppose b*i = -17*i + 4704. Is i a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, g: 11}. Give prob of sequence gj.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 2 in descending order.\nAnswer: 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/2505 and -33\/145?\nAnswer: 72645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 4*a**7\/21 - 13*a**3\/2 + 38*a - 31. Let i(m) be the first derivative of r(m). Find the second derivative of i(z) wrt z.\nAnswer: 160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/11 and 79\/175985277?\nAnswer: 1935838047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, r: 15}. Give prob of sequence rirr.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1044210 - 46?\nAnswer: 1044131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s - 2*s**4 - 3*s - 4 + 5 - 143*s**2 + 145*s**2 + 7 + s**3 in the form n*s + x*s**3 + i + m*s**2 + b*s**4 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30960142.\nAnswer: 2, 109, 142019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -648908e?\nAnswer: 648908f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3841*f**3 + f**2 + 215 wrt f.\nAnswer: -23046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 583*a**3 - 613*a**3 - 1 - 4*a**2 + a**2 + 3*a**2.\nAnswer: -30*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence am when two letters picked without replacement from mmmaamaaaaama.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 10*k = l + 4*k - 60, 17*k - 22*k = l + 42 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 56?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3636872 = 76*g - 151*g + 67*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f**2 + 41 - 41.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4234)\/(-1160)*(-1 + 21\/6) and 79\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64993330553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2703340 and 272?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnnxxxxnnx. Give prob of sequence nn.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -10*q - 7. Let x(a) = -3*a - 2. Let u(l) = -2*j(l) + 7*x(l). Let b(z) = -9547*z + 19098*z - 9545*z. Give b(u(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3663 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1.855 + 63142.858\nAnswer: 63141.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 384*h**2 + 18*h**3 - 384*h**2 + (3*h - 3*h - h**2)*(2 - h - 2) - 2 - 5*h**3 + 5 + 3*h**3.\nAnswer: 17*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8 - 4 = 0, -4*j = -b - 171. Find the second derivative of 4*c**4 - 56*c + j*c - 4*c**4 - 28*c**5 + 2 wrt c.\nAnswer: -560*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.04 - -1.83\nAnswer: -5.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/3*9*81\/6. Calculate the greatest common factor of 333 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1648 - 1647. Sort -3, 2, q, -11 in descending order.\nAnswer: 2, q, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 1 = 3*j - 9*k, -5*k = -4*j - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 71041136.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: c4 (base 15) to base 14\nAnswer: d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-3)\/(27\/6)*3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 503062367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 - (-14420)\/(-385) - -1.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1149152 and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 7 + 64. List the prime factors of u.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2046 - 2055 - (-5)\/(10\/24). Let z(k) be the third derivative of -5\/36*k**4 - 1\/90*k**5 + 0*k**g + 0*k + 0 + 7*k**2. What is v in z(v) = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 44*q + 2 - 10)*(4*q**2 - 2*q**2 + 0*q**2).\nAnswer: -88*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/10*(-40)\/16. Suppose 0 = 5*v - g*j + 98 - 395, -v + 57 = -3*j. Let f be (2\/5)\/((-48)\/v). What is the third smallest value in 5\/3, f, 0.5, -2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 5. Let z = 4 - f. Is z <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -11*g**4 - 6*g**2 + 15. Let c(u) = 22*u**4 + 13*u**2 - 30. Let a(v) = -6*c(v) - 13*x(v). What is the derivative of a(f) wrt f?\nAnswer: 44*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 257954.\nAnswer: 3\/128977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2. Let w be 46\/14 - 4\/14. Let p(m) = 3*m - 2*m + w*m. What is u(p(f))?\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 - 18 - (-73 - -24).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 90232 + 1943.6\nAnswer: 92175.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30141535*c**4 + 143698*c**2 + 16*c + 2?\nAnswer: 723396840*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 3*t - 1. Suppose 0 = 5*l - l + 12. Let n be w(l). Is n at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.5 + 0.183.\nAnswer: 9.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -18*x + 2. Suppose -72 = -7*s + 96. Let y be (s\/(-16))\/((-6)\/(-8)). List the prime factors of t(y).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-90 + 157 - 149 - 142 - 154)*(6*k - 2*k - 6*k) to the form g*k + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/6 + (30\/(-4))\/5. Let g = a + 3. What is the tens digit of ((-3 - g) + -277)*2\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 14*k - 12*k + 1)*(-13 + 0 - 8) to m*k + z and give z.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14766320 and 14672.\nAnswer: 2096","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 11*t**2 + 28*t + 14. Let r be o(5). Is -2 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 11013 = l - 16159, -l = -g + 13580. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*w + 85, r + 2*r - 5*w = -185. Let q = -32 - r. Let h = -5 + 18. Calculate the remainder when q is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-32) + -7 + (-1 + 2 - -5).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308112 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-6216)\/(-4144))\/((-63)\/120)\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 22*v**2. Let q(w) be the third derivative of -w**4\/6 - 7*w**3\/6 + 2*w**2 - 671. Determine q(b(n)).\nAnswer: -88*n**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179945 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104997800?\nAnswer: 2, 5, 19, 27631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 i when four letters picked without replacement from {n: 7, c: 2, i: 7}?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 25429*z - 25428*z + 8, 0 = 4*w - 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-138)\/(-36))\/(-23))\/(((-16)\/(-18))\/8)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -21*j. Let c(n) = 2*n**2. Give c(o(y)).\nAnswer: 882*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mv when two letters picked without replacement from {m: 1, v: 2, x: 1, r: 2, o: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 0.3, 5, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94.231 - 94. What is g rounded to two dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n - 2*n. Suppose n = -5*q - j + 25, 0*j + 3 = -2*q - 3*j. Calculate the least common multiple of q and (-94)\/(-4) - 1*3\/(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 874224 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 3*p = 33, 5*p + 69 = -4*b + 26 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + c + 3*p - 9, 0 = -5*p + 10. Let u be 9*((-51)\/(-9) + c). Suppose -g = -3*n + 52, 4*g - u = -3*n + 35. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 17\/26 (b) 5 (c) 0.2 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 2827566.\nAnswer: 5655132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1172851*b**4 + 23*b + 482?\nAnswer: 14074212*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6947 + -6946.999995447. Round b to seven dps.\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, d: 9}. Give prob of sequence vdvv.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -11. Suppose m*l + l - n = 231, 2*n - 84 = -l. List the prime factors of l.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001370338106 to six decimal places.\nAnswer: 0.000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5980)\/37674*18\/(-15)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 114\/27 - (-2)\/(-9). Suppose -3*u + 3 = 2*h - 4, -c = 4*u - 4*h. Let f be (2 - u)\/(2\/34). Calculate the greatest common factor of 153 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 25. Suppose -4*m + h*s + 0*s = 0, 0 = -2*m + 5*s - 15. Suppose -2*y = -m*z + 20, -y + 4*y = 0. Solve 5*t + 4*o + 26 = 3, -z = 2*t - o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 2*s - 2, 4*j - 2*s + 0*s = -6. Let z = j + 25. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v - 1. Let b(q) = -5*q - 23. Let p(y) = y + 4. Let h(a) = 6*b(a) + 34*p(a). Let x = 60 + -55. Let s = x + -7. Determine s*h(i) + 3*c(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122624589.\nAnswer: 3, 40874863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + 6 - -9) + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50164210 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 5, -10 in increasing order.\nAnswer: -10, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 8*t**2 + 4*t + 2. Let y be m(8). Which is smaller: 35 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1328892 and 18204.\nAnswer: 1328892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pl when two letters picked without replacement from {u: 3, p: 1, x: 2, l: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -2\/3 (c) 0.3 (d) -0.14 (e) -2\/81\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12114 + 3?\nAnswer: 12117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 49*a**3 - 41*a**3 + 2*a. What is f(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 11:09 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0 = -3*s - 46, -44 = 3*s - 4*u. Find the common denominator of (-385)\/28*(-4)\/(-10) and 92\/(-60)*(-9)\/s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 4*z + 2. Let n be x(-4). Let a = -529 - -547. Suppose -3*y + a = -4*d, n*y - 2*d + 6 = 18. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + g - 3. Let b(i) = i**3 + 2*i**2 - 2*i + 8. Determine -3*b(v) - 8*f(v).\nAnswer: -3*v**3 + 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c - 861 - 1527. Let h be (1 - 2)\/((-2)\/c). Let v = h - -279. Calculate the highest common factor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**6\/10 + 111*r**5\/20 - 391*r**4\/4 + 867*r**3\/2 + 1207*r. Suppose l(i) = 0. Calculate i.\nAnswer: 0, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*a - 20*a - 11*a)*(a**2 - 3*a**2 + 4*a**2 - 2*a**4) + 0*a + 0*a + a**5 + (-a - a + 0*a)*(a**2 - a**4 - a**2).\nAnswer: -13*a**5 + 16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 3*a**2 + 12*a - 7. Let o be f(5). Let s be 82\/8 + -6 - o\/12. Suppose q = -2 + 6. Solve l + s = 5*b + 1, -3*l = -q*b - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12182*r**3 - 6094*r**3 - 6091*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37086 is divided by 317?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7796916 by 3.\nAnswer: -2598972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 2. Let s = -70 - -66. Let x = q - s. Solve -7*l - 8 = -3*l - 4*p, x = -3*l + 2*p - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(-6*r - r + 3*r + r**2).\nAnswer: 2*r**2 - 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 - 2 - (0 + 1). Suppose -2*a + 14 = -2*p, -x*p = -0*a + 2*a - 32. Suppose -38 = -0*c - 2*c. Calculate the remainder when c is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 9:00 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*o + 4 = 11*o + 131. Is o > -4\/5215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18374\/9, 0, 22 in increasing order.\nAnswer: 0, 22, 18374\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 10101?\nAnswer: 10106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*v - 25*v - 48*v + v**3 - 45*v.\nAnswer: v**3 - 95*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 265, -1 in increasing order.\nAnswer: -1, 5, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 38. Suppose 3*c = 6*c - 6. Suppose u - c = p. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19165649788948 - -3.\nAnswer: -19165649788945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 3 = 3*t - 3*j, 5*t + j = 12. Suppose -2*x + 0*x + 6 = 0. Let 24*d**2 - 10*d**3 - 2*d**t + 3*d**x + 12*d - 27*d**4 = 0. Calculate d.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -11. Let s(v) = 9*v + 16. What are the prime factors of s(d)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -207 times 136396?\nAnswer: -28233972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 6*w + 3736. Suppose 0 = 4*c - 4*u - w, -2*c + 3*u + 306 = -631. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 343659*x - 237783 wrt x?\nAnswer: 343659","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -439265 or -439266?\nAnswer: -439266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3036536, 6073067, 9109598, 12146129, 15182660, 18219191?\nAnswer: 21255722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -1\/1015666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*1*5\/2. Let o(s) = 7*s**3 - 9*s**2 - 8*s + 9. Let b(k) = -13*k**3 + 17*k**2 + 16*k - 17. Let q(a) = -6*b(a) - 11*o(a). Determine q(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -7. Suppose -3*f + 95 = 2*f. Let o be (-4 + f)*2\/c. What is the greatest common divisor of o and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4 = 2*x. Let f(u) = 4*u**x + 3*u**2 - 5*u**2 + u**2. Let c(g) be the second derivative of -5*g**4\/6 - 7*g - 17. Determine f(c(l)).\nAnswer: 300*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 396044924 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/14 (b) -8 (c) 0 (d) -0.2 (e) -0.528\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-96)\/(-40) + 2\/(-5). Suppose 101 = -2*f + 3*f - 5*a, 2*f - 186 = i*a. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92 + -99 + (-1 - 3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 + 23*d. Calculate f(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 17*k**8\/336 - 4*k**5\/15 + k**2 + 18*k. Let d(m) be the first derivative of v(m). Find the third derivative of d(b) wrt b.\nAnswer: 1020*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25631\/62020 - -66\/443. Find the common denominator of -99\/80 and o.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2171942488 to the power of 1\/2, to the nearest integer?\nAnswer: 46604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -377 - (8 + 12\/(-6)). Let q = d + 497. Is q < 117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = 3*u - 9. Which is greater: -0.036 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 15*b + 19*b = 30, -6*r + b = -9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 + 1 + 1 + 5 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -76.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*m - 37*m + 56 = 0. Let j(s) = 26*s**2 - 16*s - 5. What is the hundreds digit of j(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13\/36 - -329\/612. Sort -1\/4, -5, k in increasing order.\nAnswer: -5, -1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a**2 + 148*a. Let m(i) = -11*i + 21. Let s(g) = 8*g - 15. Let q(r) = 5*m(r) + 7*s(r). Determine v(q(h)).\nAnswer: 6*h**2 + 148*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2477070700 rounded to the nearest one million?\nAnswer: -2477000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((1 + -4)\/6)\/((-1)\/4). Solve 0 = 3*y - 6, -v*m - 3*m + 3*y = 21 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*u**2 + 31*u**3 + 106*u**2 - u + 99*u**2.\nAnswer: 31*u**3 + 10*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -336755*q**6 - 6*q**2 + 3014*q - 2.\nAnswer: -40410600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 416664 (base 7) in base 13?\nAnswer: 26a27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3117*w - 3178. Let f(n) = -1558*n - 1586. Let h(y) = -7*f(y) + 3*l(y). What is the first derivative of h(b) wrt b?\nAnswer: 1555","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(35)\/sqrt(5) - sqrt(7))*6.\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - i = -5, f = 3*f - i + 1. Let w be (51\/6)\/(f\/2). Suppose 5*m = v + w, m = -5*v + v + 16. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 26*l - 15. Calculate the greatest common factor of l and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 75. Calculate the remainder when 466 is divided by w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 51583.9?\nAnswer: 206335.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -5. Let i = -182 + 187. What is the nearest to 1 in i, -2\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus 0.144876496327?\nAnswer: -6.144876496327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 f when three letters picked without replacement from {m: 1, l: 4, e: 2, n: 7, f: 3, w: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 8*v + 24 = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 8:06 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 314*h**2 - 16639*h - 122. Determine l(53).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1460624 by -8492.\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x**(1\/2))*x**8*x*x**(3\/5)\/(x**(-5)\/x) assuming x is positive.\nAnswer: x**(151\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 9*i + 12*i = 8*i - 50, -2*s + 2*i = -2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**3 + 7*g**2 - 5*g - 13. What is w(4)?\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/428805 and 58\/327651.\nAnswer: 63891945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -71\/16, -1\/6, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/11082464 and -23\/202728?\nAnswer: 33247392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -19557.91 + -0.37?\nAnswer: -19558.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716934481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 - 340*a + 8838. Give u(32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121 - 51. Let p = 70.3 - y. Let x = -0.7 + 0.2. Which is the third biggest value? (a) x (b) -3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*b - 4*p, 4*b - 3*b - 3*p = 9. Let g = -132092291\/612 - -863403\/4. Let y = -122\/9 + g. Is y >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 7*a - 2. Let o be d(6). Solve 5*t - k - 1 = 0, -t + o*k + 2 + 2 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1194756769 to the power of 1\/2, to the nearest integer?\nAnswer: 34565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -500585*x**3*y**3 - 17*x**3*y - 168*x**2*y**2 wrt y?\nAnswer: -3003510*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/(-5*(sqrt(3)*-2 + sqrt(3))) - (6*((sqrt(378) - sqrt(378)*-1) + sqrt(378)))\/sqrt(6))*-6.\nAnswer: 1602*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*j - 85 + 85 as b*j + h and give b.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8594803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 286, 272, -32, -626, -1510, -2684?\n\"Answer: -145*d**2 + 421*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46147776 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(171)*5)\/(sqrt(144) - sqrt(144)*2) + 3 + (((sqrt(38)\/sqrt(8) - sqrt(19)) + 2)*-1)**2.\nAnswer: -3*sqrt(19)\/4 + 47\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, z: 2, s: 4, h: 1, q: 4}. What is prob of sequence qz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34777470?\nAnswer: 2, 3, 5, 7, 13, 12739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -2. Let o = 0.323 - 0.523. Let h = -48.9 + 49. What is the nearest to 0.04 in o, k, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72 - -89.8. Let t = s + -17.4. Put t, 5, -3, -4 in ascending order.\nAnswer: -4, -3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -4*m**3\/9 - 32*m**2\/3 + 320*m\/3 - 526. Find q, given that z(q) = 0.\nAnswer: -20, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2060093 to the nearest integer?\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 0*p + 6 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -330*s**3 + 121*s - 121. Let z(g) = -11*g**3 + 4*g - 4. Calculate -4*y(p) + 121*z(p).\nAnswer: -11*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrstrrrrsrsssrtcsrrs. Give prob of sequence tt.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**3 + 65 + 67 - 138 to the form m*q**2 + u + d*q + s*q**3 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i. Let f(z) = -947207*z**2. Give j(f(p)).\nAnswer: 947207*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 32*c**2. Let z be h(1). Suppose 2*p + z = 3*m + p, 4*m - 48 = 4*p. Let r be m + (-2 - (-2 + 2)). What is the greatest common factor of 56 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11\/44*4*10. What is the third derivative of 0*d**2 - 4*d - d**2 + 18*d + l*d**6 wrt d?\nAnswer: 1200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**2\/2 + 64. Determine l(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3215 + -3217. Let d = -11 - -50. Let n = 28 - d. Sort t, 0.5, n in decreasing order.\nAnswer: 0.5, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21936?\nAnswer: 2, 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 7*j + 19. Let v be f(-7). Find the second derivative of -20*n**2 - v*n - 5*n - 20*n - 2*n wrt n.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-3))\/(9\/(-189)). Let k = 10 + q. Sort k, 1, 2.\nAnswer: k, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**2 - 2*t**2 - 2*t**2 + (-3 + 2 + 2)*(0*t**2 + 4*t**2 - 6*t**2) + 10439*t**2 + 180 + 7453*t**2 - 180.\nAnswer: 17889*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d - 25. Let g be q(10). Suppose f = -g*f + 24. Solve -4*o + 5*h = 0, f*o - 3*o - h = 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -2. Let p(q) = -q**3 - 2*q**2 + 3*q. Let r be p(o). Suppose 2*t + r*t - 16 = c, -5*c + 10 = 0. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -301475876 to the nearest ten thousand.\nAnswer: -301480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -302, -1309, -3040, -5537, -8842, -12997, -18044?\n\"Answer: -7*k**3 - 320*k**2 + 2*k + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -105*m + 4. Let x(o) = -844*o + 32. Let z(b) = -40*t(b) + 5*x(b). Let q(j) = -j. Let w(y) = y. Let p(g) = q(g) + 4*w(g). Calculate z(p(l)).\nAnswer: -60*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 533319+318426\nAnswer: 851745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x + 15*x = 10*x - 23 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -179673 divided by 474?\nAnswer: -59891\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1649? (a) 3 (b) -0.4 (c) 0.1 (d) 0 (e) 0.78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.3879 and -82 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21934 + -2 + -1)\/(-4 - -5). Let a = -15588 - z. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i + 5*i - 6*i**3 + (16*i + 35*i + 10*i)*(4 - 4 + 2*i**2) + i**2 - i**3 - i**2.\nAnswer: 115*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) -1.7 (c) 13 (d) -122 (e) -0.25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one tenth of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*sqrt(1216) + sqrt(1216) + sqrt(1216).\nAnswer: 112*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2. Let p(z) = 2*z**2. Suppose 0 = 3*j + 5*r - 4, 4*r = 3*j + 8*r - 2. Let u(i) = j*p(i) + 3*w(i). Let m(y) = -2*y. Give m(u(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 6, a: 2, x: 3, f: 1, u: 5, i: 2}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7914012.3+-0.0851\nAnswer: -7914012.3851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 197 + -201. Let y(j) = 26*j**2 - 2*j - 3. What are the prime factors of y(b)?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 take away -4.6?\nAnswer: 4.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10002010 (base 3) to base 11.\nAnswer: -1760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**5\/3 + 230*k**4 + 29926*k**3\/3 + 4816*k**2 - 14792*k\/3 = 0 for k.\nAnswer: -86, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 6 + 8 = 0. Let x(p) = 93*p - 49. Let d be x(c). Calculate the greatest common divisor of 8 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**6\/45 - v**4\/3 - 8*v**3\/9 - v**2 + 7*v. Factor m(s).\nAnswer: 2*(s - 3)*(s + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 10. Let x(f) = -f**3 + f**2 + f. Let t be x(0). Let s be t + (-9)\/(-6) + 0. Which is the third smallest value? (a) 0.4 (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*r**2 - 23*r**2 + 5*r**3 - r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 387\/3 + 3 + -1. Let c = t - 58. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**3\/2 + 351*u**2 - 1413*u\/2 + 354 = 0. What is u?\nAnswer: -236, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*a + 256*a - 128*a = 50 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 3. Let k be 3\/(6\/(-4)) - -12. Suppose -y = -5*c + 2*c - k, c - 20 = -3*y. Let v = y - 4. Give s(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*-8*5\/(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1ada - 1b?\nAnswer: 1abd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 305668?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23623258?\nAnswer: 2, 11811629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 41*f - 17 = 44*f, -12 = -2*m + 2*f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 11*o**2 - o - 1. What is the least common multiple of v(-11) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/11)*i*i*i**(4\/11)*((i*i**(-4)*i)\/i)**15 assuming i is positive.\nAnswer: i**(-468\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 593953 to the power of 1\/2, to the nearest integer?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/127770 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6)*-15*(-18)\/(-480)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2. Suppose -5*x + 15 = 5*m, -m = -5*x + 3*m + 15. What is the second derivative of 3*q**3 - 3*q**x + q + i*q - q**4 wrt q?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 420*v - 57*v + 7623 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-38)\/(-8) - (-2)\/8. Suppose 4*i - 50 = -q*n - 9, 2*i = 8. Let w be 0 + -1 - (-4)\/n. What is the third biggest value in 2\/7, -3, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2026, 2, -3.\nAnswer: -3, -0.2026, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9 - 42 - 12*k**2 + 13 wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-1))\/(2010\/536)*-15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 9. What is m(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -40848, -40849, -40850, -40851?\n\"Answer: -z - 40847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.02, 308, -4, 5, -17\/4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d - 15 = -5*t, d - 12 = -4*t. Suppose 31*h - 30*h + 505000 = d. Round h to the nearest 10000.\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/159 or 0?\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8760\/22 + 3\/(198\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163807 is divided by 116?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.51084 micrograms in grams?\nAnswer: 0.00000351084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 3.5. Let y = 3 - x. Sort 0.1, y, 1.\nAnswer: 0.1, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 2. Let f be t(1). Suppose w - 9 = -f. Let v = 8 + -6. Calculate the remainder when w is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: a6 (base 11) to base 14\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105 - -106. Let g(s) = -11*s**3 - s**2. Give g(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.395, 1\/3, 28, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595168683.\nAnswer: 3, 198389561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 1, -1 in ascending order.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-6)\/4)*1. Suppose -t*v - 4*k - 23 = -3*k, v + k = -14. Let h be (v\/(-21))\/((-1)\/(-7)). Solve 3*y = 3*u + 2*u + 7, u = y - h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + -4 + (sqrt(200) + -2 + sqrt(200))**2 + sqrt(2)).\nAnswer: -4800 + 474*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 21 - 33 = 0. Let k(f) = -f + 2. Let g(s) be the third derivative of s**3\/2 - 377*s**2 + s. Give i*k(r) + 2*g(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/11 - ((40\/22 - 2) + 2). Let u be 0\/(3\/3 + -2). Let p be (-22)\/(-4) + 2\/(-4). Sort g, u, p in decreasing order.\nAnswer: p, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 - 2*y + 2*y.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 400 and 3278850.\nAnswer: 26230800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -37747.\nAnswer: -37751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66 - -98. Let a = 35 - x. Let b be (-10)\/105*a - 774\/(-14). What is the greatest common divisor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71522025?\nAnswer: 3, 5, 227, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -16*g - 2. Let q(x) = -243*x - 93. Let r(k) = q(k) - 18*t(k). Let h(y) = 2*y. Calculate h(r(o)).\nAnswer: 90*o - 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109318747.\nAnswer: 23, 409, 11621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-3)\/x)\/(x*x**2)*(x**(2\/23)\/x)\/(x*((x*x*x\/(x\/(x\/((x*x**(-6)\/x*x*x)\/x*x*x*x))))\/x)\/x*x*x))**(2\/5))**(2\/59) assuming x is positive.\nAnswer: x**(-256\/1357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/27880 and -149\/7380.\nAnswer: 250920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 2936*s + 17576. Determine y(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - 5. Let s be (4\/l)\/((-18)\/(-15)). Which is the nearest to -1? (a) 3\/4 (b) s (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*n - 6. Let l(i) = -3*i - 21. Let d be l(-8). Let k = 4 + d. Put 5, 0, k, n in decreasing order.\nAnswer: k, 5, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 558 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 125*w**2 + 10*w. Let y(o) = -o**2. Give n(y(c)).\nAnswer: 125*c**4 - 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8964200 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 7 = 3*s, 5*t + 446 = -s + 449 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 2*k**2 + 10*k + 9. What is the units digit of v(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1285919 is divided by 235.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + g. Let o be k(-2). Suppose 2*h = o*h - 156. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gnnggnnnnnnlgnnngn. What is prob of sequence glgg?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*h - 5*k, h + k - 2 = 4*h. Let q be h - (-2)\/4*0. Let s = 648 - 646. Solve s*t = -q*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3949407 and 5077809.\nAnswer: 35544663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 131*d**2 - 549*d**2 - 2058*d**2 + 7774*d**2 + 1400*d**2 as v*d**2 + k + h*d and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c30 - 37?\nAnswer: -c67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133943, -134042, -134141, -134240, -134339?\nAnswer: -134438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(704) + 1 - sqrt(704))*6*2 + 5*(sqrt(704)*1 + sqrt(704) + -1 - (sqrt(704) - (sqrt(704) + 1))*-2))*-2)**2.\nAnswer: 36480*sqrt(11) + 294596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -17. Let w be q + (-4 - 68)\/(-1). Let m = w + -69. Which is the nearest to 1? (a) m (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*w**2 - 45738911*w + 45738911*w.\nAnswer: -127*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 21*p + 5\/4*p**4 + 0*p**2 + 0 + 8\/3*p**3. What is the second derivative of w(k) wrt k?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**6\/60 - r**4\/4 - 5*r**2\/2 - 8. Let g(u) be the second derivative of f(u). Find the second derivative of g(o) wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -z, 2*z + z - 3 = 4*m. Solve -2*k + m*k = 2*p, 2*p = 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - 2*p - 1. Let c be d(2). Suppose -c*w = w. Suppose w = -3*l + b - 8 + 77, 5*b + 105 = 5*l. Calculate the remainder when 70 is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -102.79 + -1.21. Let s = 60 + j. Let d = 43.9991 + s. What is d rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 188918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 14) in base 10?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4) + 532\/(-912)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + a84?\nAnswer: a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(10 + -12) - -13. Let l be 2\/4 - (-138)\/4. Let c = r + l. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3362 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000011010110010001100 (base 2) in base 12?\nAnswer: -8a5150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 164\/(-1722) + 6\/14. What is t in z*t**2 + 0*t + 0 + 2\/3*t**3 + 1\/3*t**4 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 4 - -1) + -1 + -1 - -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -266 - 36?\nAnswer: -2a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -156268 (base 12) in base 4?\nAnswer: -1120223300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -401*i + 402*i - 3*k, 3*k = -6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -315 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.016 in 4, -0.5, -6\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 313*y + 15301. Give k(43).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 s when two letters picked without replacement from {s: 2, i: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxjjjjjjjjjjjjj. What is prob of picking 1 x and 3 j?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6260, -5\/3, 2\/7?\nAnswer: -6260","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in -2\/17, 2\/3, -9, -5, 101?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -218*x - 7194. Determine p(-33).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((12*h - 12*h - 4*h**2)*(-5*h + 2*h + 0*h) + 0*h**3 + 2*h**3 + 0*h**3)*(-h - h - h) to k*h**4 + n*h + p*h**3 + s*h**2 + d and give k.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 67?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 170300 and 416.\nAnswer: 1362400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5.1 (b) 194 (c) -0.5 (d) -3\/8 (e) 1 (f) -3 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.02 (b) 0.1 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1421, 55\/6, -11 in ascending order.\nAnswer: -1421, -11, 0.2, 55\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66951 and 171097.\nAnswer: 1539873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1074467.\nAnswer: 47, 22861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262568511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 3*u - 42 = 0, -446*u + 29 = -4*d - 441*u for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (455\/14)\/(-13)*(-2)\/1. Which is smaller: d or 32?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-6))\/(2\/(-292)). Let x = s - 25. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i + 1. Let d be q(2). Suppose 2*y = d*y - 2*m + 3, -4*m = y - 15. Suppose 0 = j - 0*f + y*f - 55, 4*f = 5*j - 237. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/42210*-21)\/((-6)\/(-60)*-1)?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3028 is divided by 336?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 477042*q**6 + 324337*q**2 + 7?\nAnswer: 57245040*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**1*a**(-2\/31)\/a*a*(a\/a**21*a)**(8\/9) assuming a is positive.\nAnswer: a**(-4730\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4300334 divided by -4127\nAnswer: -1042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*q = -9*q + 116. Let f = 84 + -44. Factor 47*z**2 - z**4 + 3*z - 3*z**4 - 3*z**3 - z**4 - f*z**2 - q.\nAnswer: -(z - 1)*(z + 1)**2*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -214 + 136. Let x = -77 - t. Calculate the smallest common multiple of 4\/2*9\/2 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 17*g**2 - 20*g - 49. Let o be z(-18). Put -5, -8, 4, o in ascending order.\nAnswer: o, -8, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x - 326*x**2 + 162*x**2 + 680 + 162*x**2 + 3*x as i*x + c + j*x**2 and give c.\nAnswer: 680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 757.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*h**2 + 34*h**2 + 8*h**2)*(-h**2 - 3*h**2 + 2*h**2) - 5*h**2 - 2*h**4 + 5*h**2 + (2*h - 2 + 2)*(0*h - 2*h**3 + 0*h) + 2*h**4 + 0*h**3 + 0*h**3.\nAnswer: -68*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-3 - -4) + 1)*(-22 - -49 - 37)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nem when three letters picked without replacement from nvmvvvnvemnm.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104363 and 417452?\nAnswer: 417452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4 + 6 + 0*h - 6*h + h**2 + 0*h. List the prime factors of y(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 816 and 1543812.\nAnswer: 104979216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18380 = -7*z + 751. Suppose -7373 = -8*n - z. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22780\/(-85)*((-65)\/5)\/52\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -26.1. Let r = -0.1 + n. What is the third smallest value in r, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0.3. Let s = -0.65 - 4.35. Which is the second biggest value? (a) s (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 2947265734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-2 + 1 + 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a year in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.135 + 0.035. Let d = p + 2. Let h = -1.94 + 1.84. Which is the closest to h? (a) -5 (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2545\/1224 + 27\/136. Find the common denominator of m and (39875\/1815 + -22)*(3 + 147\/9).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuutiluulii. What is prob of sequence uui?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1212220000 (base 3) to base 15\nAnswer: -aed3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40015 and 5443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*o = -2308 - 310, 3*u - 3916 = 5*o. Is u a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615665.\nAnswer: 5, 59, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 41*t = -40*t - 9236, 0 = -2*d + 3*t + 9252. What are the prime factors of d?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(200) - (-3 + sqrt(200))))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321093495?\nAnswer: 3, 5, 229, 31159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10212021 (base 3) to base 13.\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93937 is divided by 110.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (31 + -3)*(-1606)\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -458, -1303, -2058, -2723?\n\"Answer: 45*h**2 - 980*h + 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 r when two letters picked without replacement from {r: 2, i: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 11, d: 2}. What is prob of sequence dhd?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15567400.28 rounded to the nearest 1000?\nAnswer: -15567000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n - 15*n = -216. Suppose n*t - 4 - 84 = 0. Solve t*j - 30 = 5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -153 - 51. Let i = f - -49. Let z be (-1 - -2)\/((-1)\/(-3)). Solve -i = -z*u + 2*r + r, 0 = 5*u - 2*r - 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-47418562\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2 - 22*h + 19. Let s be j(6). What is the biggest value in 2, -2\/13, -14, s, -3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 - d**2 - d**2)*(-d - 2*d + d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144.964 rounded to the nearest ten?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3))**(-46)*(l\/(l*l**0))**21 assuming l is positive.\nAnswer: l**138","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9693.29m?\nAnswer: 9693290000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9\/7*o + 6\/7 + 0*o**2 + 3\/7*o**3 = 0 for o.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 43403, 26632, 9861, -6910?\n\"Answer: -16771*i + 60174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 125 + 45 = 0. Suppose -z*d - 819368 + 169368 = 0. What is d rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1053521 and -0.5?\nAnswer: -526760.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-14*6\/21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 27. Suppose k + 5 = 4*d. What is the tens digit of 57\/1 - d\/(15\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8*c + 11. What is the units digit of k(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(5*p - 5*p - p) + 2*p - 1 + 1 - 2*p + 0*p + p + 0*p + 4*p - 6*p + (3 - 2 + 1)*(0 + 0 + 2*p) + 0*p + 5*p - 2*p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from ccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 + 34. Let d = k + 32. Solve g - 3 = -5*b, 0*b + 3*b = -5*g + d for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2 + 5*n + 5. What are the prime factors of s(-4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/48 and 41\/20.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 10*r + 13. Suppose -5*t + 17 = -48. What is the remainder when n(11) is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 10) in base 14?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77444053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15193377 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*v = z - 10, -3*v = 4*z + 20. Let m(x) = x - 2 + 4*x - 4*x. Let k be m(2). Which is the second smallest value? (a) z (b) k (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -3\/7 (b) -0.029 (c) -0.3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from rirwruwrww.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*j = -149 - 6. Let x(d) = -64*d**3 + 5*d - 5. Let m(w) = 608*w**3 - 48*w + 48. Determine j*m(p) - 48*x(p).\nAnswer: 32*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - 62. Let p = 145 + g. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*u - 164 = 655 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, 4, 4329, 2, -3, -11 in decreasing order.\nAnswer: 4329, 4, 2, -1, -3, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/60)\/((18\/15)\/((-18)\/20)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, n: 9}. What is prob of sequence nnnn?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/4 + 155*d**3\/2 + 3917*d**2\/4 + 4178*d + 5940.\nAnswer: (d + 4)**2*(d + 5)*(d + 297)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/100*5*(-4)\/(-6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 - 50. What is the first derivative of n*o - 72 + o + 85 wrt o?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58 - -58. Let q(h) = -4*h - 1 + 3*h + 2 + i*h - 2*h**2. What is q(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 270, 410, 554?\nAnswer: 702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2312431 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3784, -7608, -11462, -15346, -19260, -23204?\nAnswer: -27178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01567062654 rounded to five dps?\nAnswer: 0.01567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16708 - -16706.6. Which is the second smallest value? (a) 1 (b) j (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (48\/42 - 4)\/(22\/(-154)). Let u(b) be the first derivative of -4*b**2 + h*b + 4\/15*b**3 - 33. Factor u(o).\nAnswer: 4*(o - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -36 + (3\/27 - 477\/(-81)). Let c be (-238)\/(-765) + (-4)\/k. Factor 14\/9*m**3 - c*m + 0 - 10\/9*m**2.\nAnswer: 2*m*(m - 1)*(7*m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13045536595 and -9865.\nAnswer: 13045526730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - c**2. Let w(r) = -306*r**3 - 459*r**2. What is 2*w(j) - 918*x(j)?\nAnswer: 306*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5714 and -39834.\nAnswer: -45548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147463 and 176621?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4075829 and 7794.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 88942267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/4 (b) -8\/5 (c) 0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1184*o**3 + 562*o**3 + 728*o**3.\nAnswer: 106*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/14 and -95\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, p: 6}. What is prob of sequence ypyp?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -11. Let r be 1\/(18\/(-10) - b). Suppose -1148 = x - r*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - 0.8. Let q = 49.5 - 49. What is the third biggest value in s, q, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12365 is divided by 1640.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -619, -593, -549, -487?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 5*h - 7, 4*c = 34*h - 36*h + 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 25 + z + 9)*(3 + 2*z - 3).\nAnswer: 2*z**2 - 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -728.2 + -204.8. Let a = l - -932. Suppose 4*c - k = -17, -k = 2*c + k + 6. What is the third biggest value in 0.03, a, 3, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1929 and 939.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1205 - 2129 - 656 = 570*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 810555 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13731, -13734, -13739, -13746, -13755, -13766?\n\"Answer: -p**2 - 13730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 0 + 0*k**4 + 0*k + 0*k**3 + 23\/60*k**5 - k**2 + 1\/8*k**6. Find the third derivative of q(f) wrt f.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 122\/(-4) - 1\/(-2). Let s be (-4)\/(-6)*w\/(-4). Suppose -2*p = 5*y + 2*p + 21, -2*y = 3*p + 14. Sort y, s, -2 in descending order.\nAnswer: s, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from wnwnnonnonnw?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 9*w**2 + 39*w + 409. Is 26 a factor of l(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - ((-63 - -62) + 15).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/3)\/(7\/3). Let z = -215459\/5 - -43092. Sort q, 1\/12, z, 0.7 in ascending order.\nAnswer: q, 1\/12, z, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(256)\/sqrt(4)))**2 + -3 - (-3 + (sqrt(1584) - sqrt(1584)*-3*2)).\nAnswer: -84*sqrt(11) + 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 9*j**2 - 20*j + 24. What is m(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 143? (a) -0.4 (b) -0.1172 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532876547.\nAnswer: 7, 2837, 26833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5)*(-1330)\/76?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*a - 128 = -43, -a - 50 = -3*m. Let i be 24\/20*m\/(-3). Let y be 6\/(1*(-3)\/i). Calculate the greatest common factor of y and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from fcttstyyzzz.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 1 + 7 = 0. Sort c, 1, 2 in descending order.\nAnswer: 2, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/42)\/((-12)\/32). Suppose 4*u = h - 1, 3*u + 2 + 1 = 0. Which is the second smallest value? (a) p (b) 3\/10 (c) -2\/7 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -8*i - 15. Suppose 2*z - 7*z + 3*x - 60 = 0, -8 = 2*z + 2*x. What is the units digit of p(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -123157462 + -2?\nAnswer: -123157464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -103, 0, 40 in ascending order.\nAnswer: -103, 0, 3, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/1883285 and 99\/387956710.\nAnswer: 387956710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, k: 2, l: 2, e: 3, c: 1, t: 1}. Give prob of picking 1 z and 1 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1082532752, 1082532751, 1082532750, 1082532749, 1082532748, 1082532747?\nAnswer: 1082532746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -93*(-1)\/4*28 is divided by 51?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -148 + 128*d - 604 - 402 + 4*d**2 - 526 = 0.\nAnswer: -42, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/145 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2. Let k(o) = 42*o - 110. Let c be k(5). Let a(m) = -c*m + 1 - 127*m - 1 + 58*m. Calculate a(y(q)).\nAnswer: 338*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 580 and 580 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4646, 8, 1 in decreasing order.\nAnswer: 8, 1, -4646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173, 730, 1667, 2990, 4705?\nAnswer: 6818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqog when four letters picked without replacement from qogoqqoqgo?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 541 divide 1025195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58 and 233?\nAnswer: 13514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6003 divided by 9?\nAnswer: -667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 1\/9, -2\/7, 1\/24, -0.41, -1\/4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**2 + 1114500*s + 155263781250 = 0.\nAnswer: -278625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 932 is divided by 337?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one fifths of a centimeter?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11754 = 93*u - 14730 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-9))\/(-82*99\/(-633204))\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9794096 is divided by 63?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 810028727 and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 + 2 + -2 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 4*b + 12, -17*b - 4 = 3*f - 12*b. Suppose 0 = f*m + 5*d - 1357, 6*m = 3*m - 4*d + 2039. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -4\/5, 5, 4, -0.2, -693 in decreasing order.\nAnswer: 5, 4, 1\/3, -0.2, -4\/5, -693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n = 11894 + 26806. Suppose n = 5*f - 520. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-19 - -31) - -7.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1. Let d(g) = 22*g - 6. Calculate -5*b(n) + d(n).\nAnswer: 22*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, u: 5, a: 6, x: 4}. Give prob of sequence xuxx.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-28))\/(162\/189). Let n be (3\/9)\/((-2)\/(-30)). Suppose -n*v = -v + 4. Which is smaller: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7099\/361 - -2\/1083. Let x = -2\/2313 + -74002\/16191. Calculate the common denominator of j and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-722)\/4 - 8\/(-16). Let y = 266 + u. Does 43 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 29 (b) 0.08 (c) 1\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 816462698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 159973 a multiple of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*h + 223 - 223 as v + n*h and give n.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 7*v - 2. Let g be m(-3). Let r = 27 + g. Suppose r*q - 34 - 26 = 0. What is the highest common factor of q and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 9*h = 4*h - 32, 2*w - 16 = 4*h. Let f(u) = 8 - w + u. Let d(g) be the first derivative of 2*g**3\/3 + 1. Calculate d(f(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2 + 1 + 63*d - 7. Is v(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 11*f**2 + 9*f + 2. Suppose 2403 + 2693 = -14*d. Let z = -354 - d. Calculate h(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3 + 7 = 0. Suppose -2*m = l - 1 - 17, 3*l + p*m = 52. Calculate the greatest common divisor of 432 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and -0.1.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-1 - (-1630)\/150)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c = 13702. Let o = -116427\/17 + c. Let q = -533\/4 - -152. Find the common denominator of q and o.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2191335 and 10510?\nAnswer: 4382670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1103973982?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 + 24*h - 48. List the prime factors of o(-21).\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -370, -490, -690, -970, -1330?\nAnswer: -1770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1682.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2930?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 342 and 171*(184\/20)\/((-48)\/(-40)).\nAnswer: 7866","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - 0.1. Let q = -2 - -2.2. Which is smaller: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, -10, 0.04, -12, -1\/7, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4421?\nAnswer: 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 12:33 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4))**(2\/147)*p**7*p*p*p\/(p\/(p*p**(2\/15)*p*p)) assuming p is positive.\nAnswer: p**(17831\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1685, -6775, -15269, -27167, -42469?\nAnswer: -61175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/3 and 71\/945?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 4. Suppose -w + 2 = -0*w. Let z be w*(0 - -1) + 2. What is y(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41*-1755756\nAnswer: 71985996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 445997?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 1595*r**4\/6 + 855*r**2\/2 + 3575*r. What is the first derivative of f(h) wrt h?\nAnswer: 6380*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 974600 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 245*n**3\/3 + n**2 + 31*n - 59. Is o(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 29*o**2 - 71*o - 189. Calculate v(26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*m - 0. Let n be (-1)\/2*-6*1. Suppose n*v - 33 + 153 = 3*x, x + m*v = 25. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2533520 divided by -506704?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = 16*c - 18*c. Let t = c - 38. Suppose -k - t*g + 10 = -0*k, 0 = -4*k - 2*g + 94. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*j, 2*m + 64*j - 10 = 62*j. Solve 3*z - 12 = d, 0 - 21 = 3*d - m*z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2118424 divided by 48146?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 1. Let d be x(5). Suppose d*l + 3 - 15 = 0. Solve 0 = -4*y + l*y + z + 8, -4*z = 20 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*k - 15*k. Let q(b) = 3 + 1 - k - 5 + 6*b. Let g(m) = 7*m - 2. Calculate -2*g(n) + 3*q(n).\nAnswer: 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 12 = -3*g, 3 = -b - 2*g. Let x be 26853\/15 + (0 - 2\/10). Find the second derivative of 3*m**b - 7*m**3 - 1790 - 35*m + x wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88*-0.3\nAnswer: 26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*j - 4 - 2 = 0, -5*t + 5*j + 30 = 0. Suppose -196 - 229 = -t*p. Let u = 149 - p. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10454 + 132131?\nAnswer: 121233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(13) + -1))**2 - (-1 + sqrt(325))**2 - (-4 + (1*sqrt(156))\/sqrt(12)*-2).\nAnswer: -308 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**4\/12 + 261*x**3 - 613089*x**2\/2 - x + 1587. Suppose l(b) = 0. Calculate b.\nAnswer: 783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by -1545\nAnswer: -29\/1545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52 * -0.3.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooogtooooogoggoog. What is prob of picking 1 g and 3 o?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 u, and 1 s when three letters picked without replacement from upcgcsuupcsssu?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - (19 + -2 + -10 - 9) - 2?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1326 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 264009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((0 + -3 + sqrt(252) + -1)**2 + -4)*6)*6.\nAnswer: -1728*sqrt(7) + 9522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/78 and -47\/4316.\nAnswer: 12948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + 25*r + 65. Let k be c(-5). What is the remainder when (k\/4)\/((-14)\/(-28)) - -481 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**3 - 18*b**2 + 9*b**3 - 4*b**3 to y*b**3 + i*b + p + m*b**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 162560*u - 162562.\nAnswer: 2*(u - 1)*(u + 81281)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/4*(1120\/12)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 12*u**2 - 12*u + 14. Let f be p(-13). Let i(y) = -17*y + f - 16 - 4. Is 39 a factor of i(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/4, -4, -5, -11?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1868883 equal to -16819954\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.341265cm in millimeters?\nAnswer: 43.41265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 7*y = 21*y - 19*y + 506 for y.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -15. Let p = 18 - 2. What is the smallest common multiple of w and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -5, -0.1, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llnnlnnnnnnnnnn. What is prob of picking 4 n?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 10, -15, -3, -2 in ascending order.\nAnswer: -15, -6, -3, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 + 60*z**2 + 371*z - 7779. Give u(32).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -w + 3*z, 2 = -4*w + 3*z - 5. Factor -325*m**2 + 325*m**w - 4*m + 4*m**3.\nAnswer: 4*m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-139 + 27*k + 13*k - 39*k)*(0*k + 4*k - 5*k) - 3*k**2 - 4*k**2 - 9*k**2 to the form f*k + b*k**2 + m and give f.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 - 67*s - 455. What is x(-9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/39285 or 1?\nAnswer: -7\/39285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/24)\/((-125)\/(-30) + -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 11:18 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63.4 + -62.27. What is the nearest to -1 in -2, -0.5, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 + 19 + -20 - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 11519*l**2 - 93*l - 5. Is c(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, d: 1, w: 1, s: 2}. Give prob of picking 1 s and 1 o.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 64775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/1528 and 27\/8.\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0*u - 4*u)*(2*u**2 - 3*u**2 + 0*u**2) + (-4*u**3 - 2 + 1 + 2)*(-1 + 3 - 5) - 5*u**3 + 0*u**3 + 4*u**3.\nAnswer: 13*u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 - -2.6. Let u be 0\/(-20) - 1\/2*0. What is the closest to u in v, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83 + 82. Let l(f) = 19380*f - 19379*f + 0*f**2 + 4*f**3 + f**2. What is l(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321 = -5*c + 5*d + 29, -5*d + 126 = 2*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449484907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*o, 3*f + f - 2*o + 366 = 0. Let v = f - -70. Sort -1, 2, v, -2 in decreasing order.\nAnswer: 2, -1, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -10*i**3 - 4*i**2 - 2*i - 2. Let n = -807 - -806. Let f be x(n). Let l(m) = -m**3 + 5*m**2 + 8*m - 14. Give l(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 9 and 2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -35. Let w(m) = 0*m - 3*m**3 - 11*m**3 + c - 2 - 3*m. Let j be w(-1). Calculate the highest common factor of j and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 c, and 1 o when three letters picked without replacement from {o: 2, k: 7, c: 6}.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1975\/78728 or -1?\nAnswer: -1975\/78728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1219, 2393, 3591, 4819, 6083, 7389, 8743, 10151?\nAnswer: 11619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**5\/20 + l**2 - 15*l. Let y be m(-2). Let d be y\/(-9) + 20\/15. Sort -2, -3, d.\nAnswer: -3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 9433473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*i - 59*i**3 + 113*i**2 - 28 + 61 - 114*i**2 - 31 to t*i + l*i**2 + b + d*i**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -515?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -6 - (1 + -2 - (4 + -3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*f**3 - 3 + 18*f**3 - 17 wrt f?\nAnswer: 84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3*b*b*b**4)\/(b**(3\/4)\/(b\/b**(-2\/3)*b)) assuming b is positive.\nAnswer: b**(131\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -57, -108, -145, -162, -153, -112?\n\"Answer: b**3 + b**2 - 61*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3345043 (base 9) to base 8\nAnswer: 6676266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 19*f - 24. Let u be h(-20). Is 23 a factor of -95*(u + 3)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 203.99999272 + -204. What is x rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 10*v + 2. Let a be f(-10). Suppose r - 6*r - 29 = 4*b, 10 = -2*b + a*r. List the prime factors of ((-6)\/(-5))\/(b\/(-285)).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -4*u + 43. What is the highest common divisor of 14 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f + 24*f + 5*k = -4, -5*f + 3*f + 9*k + 22 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3478558927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1555074178?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (1309\/(-70))\/(-11)*2)\/((-66)\/5115).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 514*z**3 + 14*z**2 - 18*z + 8. Let n be o(12). What is n rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -795 (base 12) to base 15.\nAnswer: -4eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35074*i**2 - 9*i**3 - 35074*i**2.\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.6 (b) 135 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501420905.\nAnswer: 5, 100284181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/4)*d)**(8\/5))**(-34) assuming d is positive.\nAnswer: d**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 900?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 1947*y**2. Let p(l) = -l**2. Calculate a(p(m)).\nAnswer: 1947*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3119758198 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 62 + 50. Let s(x) = x - 1. Suppose -3*y = -3*o - 18, 2*o = -6*y + 2*y. Let g be s(o). Sort m, g, 5 in increasing order.\nAnswer: g, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1039 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 a when three letters picked without replacement from pvpjjjvpappw?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4, 5*h = 4*b + 1 + 15. Let t be (b*4\/(-7))\/((-2)\/7). Solve t*a + w + 8 = 0, 0*w = a - w + 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -3\/808160 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.2 - 2.32. What is n rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/17*n**5 + 0 - 2\/17*n**4 + 0*n + 4\/17*n**3 + 0*n**2 = 0. What is n?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 divided by 86\nAnswer: -50\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-39.92858.\nAnswer: 119.78574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 22 + 13. Suppose 0 = 5*k - m - 51. Suppose 0 = -k*r + 135 - 3. Calculate the greatest common divisor of r and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 954 = 2*m, 0*m + 4*m = -2*i - 1904. Let l = -271 - m. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, e: 3, i: 1, g: 6}. What is prob of sequence ie?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3174 - 3176. Sort 4, s, 9, 1 in ascending order.\nAnswer: s, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/7*a**2 + 8\/7*a + 8\/7.\nAnswer: -2*(a - 2)*(3*a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 12*l + 90. Let m be h(-7). Solve 101 = -39*s - m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4774 and 4334.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Let b be -6 - (1\/2)\/((-4)\/24). Let d be 43 + (q - b) + -2. Calculate the greatest common factor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -138*q**2 - 4365*q + 1839. Give b(-32).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 0 + 9*t**2 - 1\/2*t**3 - 1\/4*t**4 + 16*t. Factor l(s).\nAnswer: -3*(s - 2)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 9 - 14 = 0. Let x(g) = g**2 - 4 + 7 - 3. What is x(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1665987 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 1)*(-4*n**4 + 2 + 5*n**3 - 4*n**3 - 3*n**3) in the form z*n + c*n**4 + b + v*n**3 + s*n**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 759177 is divided by 252870.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 134025 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/(-12 + 13 + -8). Let u be (-5)\/2*(2 + -4). Put 1, l, u, -5 in decreasing order.\nAnswer: u, 1, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199, 646, 1385, 2410, 3715, 5294?\nAnswer: 7141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 7 - 3)*(-4*u + 21 - 8 - 12) to the form q*u + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-304)\/1430 - (-55 + 10680\/195).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 22*y**2 + 9*y + 2. Let t(x) = -11*x**2 - 5*x - 1. Let m(w) = 3*k(w) + 5*t(w). What is the tens digit of m(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30672 (base 14) in base 13?\nAnswer: 41065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 2594*u - 12987. What is p(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 - ((-65 - -44) + (17 - 0)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70 - -73) + -2 + 0 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, a: 3, l: 5, m: 1, e: 1}. What is prob of picking 2 a?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 r when three letters picked without replacement from rrrrrrrrrrrlrrrrry.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23044.\nAnswer: 2, 7, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*c - 250 = 376 + 318 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4562056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58304 is divided by 58242.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (24\/(-14))\/3*-7. Suppose 80 = -w + 4*w - r*a, -4*w + 5*a + 107 = 0. Let n be 128\/w + 16\/(-28). Solve 0 = i + i - n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5 + 7*i**4 - 14*i**3 + 8*i**2.\nAnswer: -i**2*(i - 4)*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.14, 0.1, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w - 22*w**4 - 27*w**4 - 2*w**3 + 38*w**4 in the form v + a*w**3 + c*w**2 + f*w + o*w**4 and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 1159.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -13.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, 5, 1, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, 6, 4 in increasing order.\nAnswer: -10, -3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-22)\/x*x\/(x**(2\/17)\/x))\/(x**(5\/4)*x\/x**(13\/3)))**27 assuming x is positive.\nAnswer: x**(-34947\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k - 75 - k - 4*k + k + 4*k to p*k + r and give r.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88540 divided by -466.\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4841432240?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -17 - -56 - (-109 + 177)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, s: 3, c: 1}. What is prob of picking 1 c and 3 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-9))\/(-3*1). Let t be (5\/(-25))\/((-2)\/10). Let n be ((-2)\/(-36))\/(t\/(-2)). Put n, -0.1, p in ascending order.\nAnswer: p, n, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1412, -2910, -4486, -6134, -7848, -9622, -11450?\n\"Answer: a**3 - 45*a**2 - 1370*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 76, 7 in decreasing order.\nAnswer: 76, 7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1848723987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -308, 0.3, -2, 2\/5 in increasing order.\nAnswer: -308, -2, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 20651841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.5 + -5. Let h = x - 13. What is the closest to 2\/3 in -6, h, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 t when three letters picked without replacement from guuggutugutgugg.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35217502919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -123024320 (base 5) to base 10\nAnswer: -595585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9635774, 9635772, 9635770, 9635768?\n\"Answer: -2*r + 9635776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**4 + 54603*r**3 - 7929585*r**2 - 83389575*r - 211884750 = 0 for r.\nAnswer: -18345, -5, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 + 91. Suppose 3*a = -4*y + 24 - 4, -2*y + 2*a = 4. Suppose -19 = -y*c + 5*u, c + u = -0*c - 1. Solve c*n + 13 = 3*i - 2*i, 0 = 4*n - 4*i + s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179394 is divided by 373.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ql when two letters picked without replacement from {m: 1, n: 8, q: 5, w: 2, l: 2}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 920 + 6*c - 7*c**2 + 918 - 1843 + (0*c - 4*c + 2*c)*(-c + 3*c - 3*c) in the form d + k*c + l*c**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - o**2 + 0*o**2)*(0*o**3 - 2*o**3 + 3*o**3 + (14*o**2 - 35*o + 35*o)*(-3*o + 3*o + o) - 2*o**3 - 2 + 2).\nAnswer: 13*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**4 + 327*m**2 - 163*m**2 - 164*m**2 + 1 + 8*m**3 as u*m**2 + q*m**4 + z + x*m**3 + a*m and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -2. Let s = -0.1 + 5.1. Let h = -736\/3 - -245. What is the third biggest value in s, h, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/((((x\/x**(1\/4))\/x)\/x)\/x)))\/x)**12\/(x**(-1\/2))**(-14) assuming x is positive.\nAnswer: x**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = -26 + 2. Is (-1)\/(6\/145608*v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/88 and 65\/5676?\nAnswer: 11352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -17\/38, -323.8.\nAnswer: -323.8, -17\/38, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**3\/3 + 2. Let l(r) be the third derivative of r**5\/10 + 16*r**2 + 7. Determine k(l(o)).\nAnswer: -36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1320 and -13\/2420.\nAnswer: 14520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244729, -244728, -244727, -244726?\nAnswer: -244725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6190 or -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 9 + 3 = 0. Let q = 2710852\/429 + -6319. Let a = q + 7\/39. What is the nearest to -1 in -5, n, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/417 and 43\/1029?\nAnswer: 143031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times -303216?\nAnswer: 242572.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/95, 0.3, 4, 1, 0.4.\nAnswer: 2\/95, 0.3, 0.4, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, -3, 6, -22.5, 0.5.\nAnswer: -22.5, -3, 0.5, 6, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkk when three letters picked without replacement from {w: 6, k: 2, x: 3, p: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - 5\/((-10)\/(-4)). Suppose -s*u + 2900 = 5*g - 4036, -2778 = -2*g - 3*u. Is 63 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -42, -97, -192, -339, -550, -837?\nAnswer: -1212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 246*r + 241. Let g be s(-1). Put 20, g, 4 in descending order.\nAnswer: 20, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 37 = -a + 5*s, 5*a + s + 10 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289*f + 107*f + 90*f + 105*f.\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*h - 54*b + 52*b, 72*h - 86*h = 6*b + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/3 - (-5 - 1428\/7). Let c = 244 - p. Solve -2*a - 4 = -q, 4*a + q = -3*q - c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 36736347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5043416 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 4:48 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 11*m**5\/20 + m**4\/12 + 2*m**3\/3 - 17*m**2\/2 + 124*m. What is the hundreds digit of l(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a**(-17\/2)))*a**(-37)\/a)\/(a*a**(-5)*a**(1\/17)) assuming a is positive.\nAnswer: a**(-1413\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 104816407 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.22 + 344.\nAnswer: 344.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - 112?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 - 2*h. Let w(m) = -4*m**2 + 6*m + 0*m - 3*m. Let p(c) = -11*a(c) - 6*w(c). Factor p(j).\nAnswer: 2*j*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/11, -2, 5, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2516, 5011, 7492, 9953, 12388, 14791, 17156, 19477?\n\"Answer: -m**3 - m**2 + 2505*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(10)\/sqrt(2) - (-1 + sqrt(405)) - -6*(sqrt(605) - (sqrt(605) + -2))*-1)*-6)**2.\nAnswer: 11880*sqrt(5) + 44856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2361?\nAnswer: 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 3:22 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 7*y - 10*y - i, 3*i = y + 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -122231 + 41044?\nAnswer: -31132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 7*g**2 - g - 7. Let d be a(-7). Solve 0 = -4*h - d*h + 4*n + 12, h + 5 = -3*n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1336326874 and 0.058.\nAnswer: -1336326873.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27\/25 + -7\/25. Let u = -119 - -1069\/9. Put u, v, 1 in ascending order.\nAnswer: u, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00234942167 to four dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 674, 1375, 2062, 2729, 3370, 3979, 4550?\n\"Answer: -t**3 - t**2 + 711*t - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 + 411?\nAnswer: 3b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/14)\/(((-3184)\/224)\/199).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*f + 2107 = 0, t + 6*f = f + 439. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oppppppopp. What is prob of picking 2 o?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1826 = 746*s - 665*s + 449 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(3\/13)*v**(6\/13)*(v\/((v*v**(2\/7)\/v)\/v)*v)**2 assuming v is positive.\nAnswer: v**(648\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 6*m - 2*m)*(202*m - 1 + 13*m**2 + 226*m - 412*m).\nAnswer: 78*m**3 + 96*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 16818.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-8)\/(((f\/(f**(-1\/5)\/f))\/f*f*f*f)\/f) assuming f is positive.\nAnswer: f**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4\/2 - 53*v**3\/2 + 223*v**2\/2 + 117*v\/2 - 81.\nAnswer: (v - 9)**2*(v + 1)*(3*v - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-5) - 0\/7*-1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4674, -4544, -4264, -3762, -2966, -1804, -204, 1906?\n\"Answer: 12*w**3 + 3*w**2 + 37*w - 4726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, e: 8}. What is prob of picking 3 y and 1 e?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -593356\/15 - -38655. Let g be (1\/3)\/((-2)\/5476). Let f = j - g. Calculate the common denominator of 43\/4 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*a - 28*a - 42. Calculate the greatest common factor of a and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 819 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3019 + 3015. Let p = -58 - -294\/5. Which is the nearest to 1? (a) p (b) l (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1251 - -57. Suppose i + t = 3*i. Suppose -861 - i = -5*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hu when two letters picked without replacement from hhiihirrsqusih?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6*f + 36 = 0. Let x = f + -11. Solve x = -h - 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -1\/210*l**7 + 0 + 1\/40*l**6 + 0*l**3 - 2*l**2 + 0*l**4 + l - 7\/12*l**5. What is the third derivative of c(f) wrt f?\nAnswer: -24*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 264, 312, 136, -270, -912, -1796, -2928, -4314?\n\"Answer: -f**3 - 106*f**2 + 373*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 13*j + 51. Let v be y(-3). Suppose v*b - 30*b = -56934. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -413, -412, -411, -410, -409?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 11 - 1 + b + 36*b**2 to the form d + s*b + o*b**2 and give o.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -631*i**3 + 272*i**3 + 151*i**3 + 172*i**3.\nAnswer: -36*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 22?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11755 + -58773\/5. What is the closest to 1 in 1, x, 0.1, -0.076?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-2))\/(-1 + (-5490)\/(-5480)). Find the common denominator of 16\/24*m\/(-48) and -55\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230043 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 7*d**2 + 8*d + 2. Let z be n(-8). Suppose z*g - 10 = 3*o - 5*o, 0 = -2*g + 6. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) 2 (b) -3.79 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 116*t**2 + 103*t + 1388. What is q(115)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 s when two letters picked without replacement from {s: 16, g: 2}?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 2 - 2)*(-18 - 1 - 36 + (1 - 5 + 6)*(3 - 5 + 3) + 0 + 0 + 1)*(16 - 7*b - 16).\nAnswer: 728*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -109, -238, -369, -502?\n\"Answer: -d**2 - 126*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -24*f**2 - 44*f. Let g(u) = -5*u**2 - 9*u. Let t(c) = -11*g(c) + 2*i(c). What is the second derivative of t(n) wrt n?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q**3 - 120*q**2 + 19*q - 25. What is w(17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/21 of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/16*12)\/((-177)\/118).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 123075 divided by -24615?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.5583 times -14\nAnswer: -7.8162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -333 - -340. Solve -7*z = r*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**6\/20 - 11*m**4\/3 + 8*m**3\/3 + 1796*m**2. Let x(i) = -2*i**3 - 29*i + 5. Give 5*s(v) - 16*x(v).\nAnswer: 2*v**3 + 24*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {m: 9, x: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a**4 + 0*a**2 - a**2 - 2*a**3 - 1 + 7*a**4 in the form u*a**4 + h*a**3 + y*a + b*a**2 + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**2. Let y(v) be the first derivative of -v**4\/3 + 15*v**2 + 2*v + 88. Let h(a) be the second derivative of y(a). Determine h(m(l)).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17544 + -17538. Solve 12 = -2*y - 11*p + l*p, 5*y = -5*p for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1561 divided by -1561.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-6)\/16))\/(45 + -46)*1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 76 (base 15) to base 10\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5899881 a multiple of 506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7585.363l to millilitres.\nAnswer: 7585363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -5, -2\/13, 29, 420 in ascending order.\nAnswer: -5, -2\/13, 4\/3, 29, 420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 2*j**2 + 3*j - 3. Let n be 1 - (3\/(-3) + 0). Let k be d(n). Solve -k*f - 5*o + 4 = 0, 5*f - 17 = f + 5*o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 355*-2.\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 125 - -1457?\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.2 - 1.5. Which is the closest to -1\/2? (a) -0.01 (b) 4\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/352*8*(-256)\/24.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/18)\/((-2)\/60). Suppose 0 = -0*f + 2*f + 5*b - 6, -2*f = -2*b - q. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 10:49 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 2*y - 4*y)*(166 + 144 + 324 + 64).\nAnswer: -1396*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 7915 in ascending order.\nAnswer: -1, 4, 7915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-847266.\nAnswer: 8472660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72669 and 11.\nAnswer: 799359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3960 is divided by 1316.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80100560 divided by 10012570.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-156)\/260 - 23\/(-5). Suppose r*v + 814 = 3*u, -4*v = 3*u - 0*v - 806. Round u to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19131, 30955, 42781, 54609, 66439, 78271?\nAnswer: 90105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 40*t**2 - 43*t - 80. Let b be v(-41). What is the nearest to b in -3, 0.11, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2286795 divided by -15?\nAnswer: -152453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2854893 from 0.3.\nAnswer: 2854893.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 111821, 111817, 111813, 111809, 111805?\n\"Answer: -4*w + 111825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 533 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 663.8118 years?\nAnswer: 7965.7416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -8*o**2. Let n(k) = k**2 - 2*k. Let s(t) = 4*t**2 - 7*t. Let x(m) = -m**2 - 5*m - 15. Let z be x(-6). Let i(r) = z*n(r) + 6*s(r). Calculate b(i(h)).\nAnswer: -72*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1807646*n - 1807611*n - 110 + 960 = -1600 for n.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20535502 - -5?\nAnswer: 20535511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32*d**2*f**2 + d**2 + 30*d*f + d - 9*f**2 + 22992 wrt f?\nAnswer: -64*d**2*f + 30*d - 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -364*j - 16097. Determine f(-44).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 59*y + 8. Let f(d) = -2. Give 3*f(g) + u(g).\nAnswer: 59*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -236 + 235.999075. What is l rounded to 5 decimal places?\nAnswer: -0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -4)\/(3\/21). Let w = j + -67\/10. Is w < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8139)\/29843)\/(2\/440).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -577, -1151, -1725?\n\"Answer: -574*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -2 + 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 9. Suppose 0 = 3*q + 4*w - 40 + 12, -55 = -5*q - 5*w. Suppose q = 3*u - 8. What is the units digit of f(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 1 + 1. Let l = 5 - n. What is the units digit of (-1)\/3 - (-56)\/l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 4*d. Let i = 962 + -959. Suppose i*q - q + v - 193 = d, -499 = -5*q + 3*v. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -5*t - 10. Let f be 24\/(-10)*(-5)\/t. Let q be f\/(-45) - 4\/(-30). Solve 2 = v - q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/((sqrt(120)\/sqrt(4))\/sqrt(3)))\/((sqrt(147) + sqrt(147)*1)*-6).\nAnswer: -sqrt(5)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)*d*d)**26\/(d*d**1*d)**8*d\/d**0*d*d\/d**(3\/4)*(d*d*d**(1\/4)*d)**(-9) assuming d is positive.\nAnswer: d**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 + -27. Suppose -2*a - 633 = -u, -3691*a = 4*u - 3692*a - 2588. What is the remainder when u is divided by w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*(j*j**(3\/2)*j*j)\/j*j)**13*j*j*j**(1\/10)*j*j*j**2 assuming j is positive.\nAnswer: j**(453\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s**2 + 17*s + 2. Let p(a) = 5*a**2 + 24*a - 23. Let l(h) = h**2 + 2*h - 3. Let j(u) = -8*l(u) + p(u). What is -9*j(x) + 4*w(x)?\nAnswer: -x**2 - 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156027845 to the nearest integer?\nAnswer: 12491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 36 (b) -3 (c) 0.1 (d) 0.2 (e) -1 (f) 103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 35 (b) -6 (c) -7 (d) -5 (e) -4\/7 (f) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 13712*w - 150903. Determine k(11).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -4*o + 30*p - 32*p + 18 + 3 + 22, 4*p = 64 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50720 - -9129449\/180. What is the common denominator of 19\/18 and r?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/18)\/(2\/54) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6989294ng in tonnes?\nAnswer: 0.0000000000000006989294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 5\/21, 1 in increasing order.\nAnswer: -4, 5\/21, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*q - 311*q - 3900 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*19591\nAnswer: 7836.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2001 and 3741.\nAnswer: 86043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 5:25 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -6.2. Suppose 5*b - 12 = b. Suppose 0 = 2*h + h + i + 14, 5*i = -b*h - 22. What is the nearest to o in -1, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/(144\/12).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((2 - 3)\/2)\/(-4). Let d = -0.48568 - -0.58568. Sort 7.7, d, s in decreasing order.\nAnswer: 7.7, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 475*u**2 - 965*u + 485.\nAnswer: 5*(u - 1)**2*(u + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -0.070286?\nAnswer: 2.070286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 v when three letters picked without replacement from {x: 6, v: 2, e: 3, h: 8}?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 222638824?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f - 65. Let w be n(7). Let p = -53 - w. Solve -p*r - 6 = -3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -817922 in -3, 1\/2, -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**4\/4 - 5*g**3\/3 - 5*g**2\/2 - 5*g + 2. Let o be t(-4). Which is the smallest value? (a) o (b) -2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16718, 33225, 49518, 65597, 81462?\nAnswer: 97113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2 - 81*y - 260. Calculate x(30).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(2\/(-2)*-1). Let d = -179 + 187. Let y(t) = -d + t**2 - 5 - t - 1 + 19. Determine y(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 479 = 4*d - 2*d + 3*a, -4*d + 933 = a. List the prime factors of d.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3365 by 99420.\nAnswer: -673\/19884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 4*m - 2. Suppose -110 = -6*b - 5*b. What is the remainder when b is divided by d(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 2339622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*p + 233 = t, 3*p - 4*t - 208 = 0. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 170.023 + -170. What is m rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4892209 less than -897.7?\nAnswer: 4891311.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16112?\nAnswer: 2, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8802?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1305*h + 5208. Give l(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/7)\/(g\/(g\/(g*g\/(g**(-25)*g)*g))) assuming g is positive.\nAnswer: g**(-190\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -978 - -980. Suppose -3*a + f + 11 = a, 15 = 3*a - 3*f. Solve -x*d - a = -r + 1, -4*r = d + 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 92004.71us?\nAnswer: 0.09200471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*o - 52. Suppose 39*n = o*n - 5. Which is the closest to 1\/2? (a) 2\/13 (b) n (c) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/(-4) + 1)\/(-2)*-734. Let c = y + 94. Determine t, given that -c*t + 3\/4*t**2 + 3\/2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence al when two letters picked without replacement from {v: 9, a: 4, l: 2, q: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + 12*(-3303)\/(-12). Suppose -16*c + g = -13*c - 4*m, -4*m + 5556 = 5*c. List the prime factors of c.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 94\/17, 13, 1\/10, -0.05 in increasing order.\nAnswer: -0.05, 1\/10, 94\/17, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 - 3121.9549715\nAnswer: -3121.9049715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4 + 8*i**2 + 4 - 4*i - 3*i - i**3 - 2. Let m be j(3). What is the highest common divisor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 1. Suppose 0 = -5*u - j + 279, 103 = 2*u + n*j - 23. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69.0716 - -2.8974. Let u = 133 + -61. Let y = k - u. What is y rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 439*o + 15068. Calculate a(-32).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 9*t**2 - 7*t + 6. Let l be d(-10). Let b = l - -52. Calculate the remainder when b is divided by 6 - 2 - 42\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 1, 183, 0, -28 in decreasing order.\nAnswer: 183, 3, 1, 0, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**9*k)\/(k**9\/k)*(k**(-1\/3))**(2\/105)*((k\/k**7)\/(k**(2\/3)*k))\/(k*((k*(k**(-1\/6)\/k)\/k)\/k)\/k*k)**(-2\/59) assuming k is positive.\nAnswer: k**(-87583\/18585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13\/19 + -110\/133. What is the second smallest value in -0.2, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujuuk. Give prob of sequence jk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 - -34. What is the common denominator of 22*(2 + 25\/(-12)) and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + v)*(0 + v + 0) + (13*v + 62 - 62)*(-2*v - 4*v + 5*v))*(-4*v - v + 2*v).\nAnswer: 36*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3 + 15 - 722*p**3 + 932*p**3 + 54 with respect to p.\nAnswer: 630*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 4*f**2 - 4*f - 5. Let d be r(5). Suppose j + d = 4. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b82124 (base 13) in base 15?\nAnswer: -5a4304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1130 = -3*i + 5*c, 4*i + i - 1834 = -4*c. Suppose z + 4*z + o = -i, -3*z - o - 220 = 0. Calculate the common denominator of -29\/10 and (6\/8)\/(z\/530).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 3*o**2 - o - 1. Let g be c(-2). Let m = -49.1 + 49. What is the nearest to m in -0.5, g, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1215, -1209, -1193, -1161, -1107?\n\"Answer: a**3 - a**2 + 2*a - 1217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 11:55 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(6)\/sqrt(3)))\/(sqrt(30)\/(sqrt(3)*4)) + 5.\nAnswer: 5 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -7*t**4\/4 + 9*t**3\/2 - 3*t**2 - 2*t. Solve y(p) = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 17*u**2 + 19*u + 4. Let s be l(-21). Suppose 4*m - 4097 = -3*j, 0*j + j + 3*m = s. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d + 2*d - 2*d)*(6*d - 2*d + 7*d) + 4 - 4 - 4*d**2 as b + w*d**2 + x*d and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s - 3. Let d(c) = -26*c + 16. Determine -2*d(z) - 11*l(z).\nAnswer: -3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2400 + 234 = 3*f. List the prime factors of f.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + -29 + (-3 - -26)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47129 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 527 + 504 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 5*z + 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**6\/30 + p**4 + 3*p**2. What is the second derivative of f(s) wrt s?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -486.85 - 9.15. Let b = n - -496.064. What is b rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {l: 5, b: 8, q: 3, w: 2, i: 1}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*p - 56. Suppose 15*w - 102 = -42. What is the highest common factor of w and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -542445865 greater than -542445865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 8*f - 1. Let t(m) = 2*m**2 - 16*m + 5. Suppose 3*g - 12 = -3, -a - 5*g = -10. Let i(d) = a*q(d) - 2*t(d). Determine i(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34672 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 162, 563, 1194, 2049, 3122, 4407?\n\"Answer: -p**3 + 121*p**2 + 45*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 1:12 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - g + 9. Let q be i(-6). Let w = q + 23. Suppose -w*b + 82 = -36. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7661 (base 9) to base 5\nAnswer: 140034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122579695 is divided by 203?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -1322*b + 1323*b + 44, b - z = 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 72 + -142 + 165 + 9.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-1\/2)*v*v)\/(v*v*v*v**5))\/(v\/(v*v*v*v\/(v*(v**(2\/7)*v)\/v)*v)*v**(-4)\/v))**(29\/2))**20 assuming v is positive.\nAnswer: v**(2465\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -8*v - 4. Let n(p) = -p. Let y = 69 - 63. Let w(u) = -4*u - 25. Let o be w(-6). Give o*i(c) + y*n(c).\nAnswer: 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**5*j**2*y - 242*i**3*j**2*y + 215*i**2*j**2*y - 5*i*j*y wrt i.\nAnswer: -60*i**2*j**2*y - 1452*j**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/16)\/((2\/(-24))\/(303\/404))?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20033)\/(-3082) + (0 - 1) + -17.\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbwxgbbssdbxbs. What is prob of picking 2 w and 1 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -0.1, -9.57 in descending order.\nAnswer: 3, 1, -0.1, -9.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14793 divided by -21586\nAnswer: 14793\/21586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -3*j**2\/2 - j + 3. What is the units digit of l(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(0 + (0 - 3)). Suppose 11 = -4*r - 2*f + 83, 44 = s*r - f. What is the derivative of -r*w - 3 + 2*w**3 + 16*w wrt w?\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s + 4*t - 2966 = 0, 0 = -4*t - 4. What is s rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.17 in -2, -4\/3, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 18*u**2 - 2*u - 33. What is f(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0499 - 0.049908104. What is i rounded to 7 decimal places?\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7106163?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 249 = 2*i. Is (i + 0)\/(4 - 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**2\/((i*i**(-1)*i)\/(i*i**(-7)))*((i**(1\/4)\/i*i)**36)**23 assuming i is positive.\nAnswer: i**200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 2:43 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + m - 24. Suppose -38 + 418 = m*a + 4*s, -4*a = 3*s - 378. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85*w**2 + 53*w**2 - 28*w**2)*(-9*w**3 - 5*w + 5*w).\nAnswer: -990*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 13117\/5 - 419309\/160. Calculate the common denominator of 9 + (-931)\/105 - (-82)\/(-12) and o.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**3 - d + 3. Let k(v) = -6*v**3 + v - 5. Let l be (0 + 1)\/((-1)\/3). Let b(o) = l*k(o) - 5*s(o). What is the second derivative of b(m) wrt m?\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 564 = 2*q + 60. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 392\/5 - 733\/10. Find the common denominator of w and 18\/17.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3 = 0, -5*b + 3*u - u + 124 = 0. Let w(c) = 11*c - 16. Let q be w(5). What is the greatest common divisor of b and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11\/2159 (b) -1\/2 (c) 4 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3 + 5*c + 7 - 21*c + 6068*c**3 - 5686*c**3 wrt c?\nAnswer: 2292*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 650573 is divided by 1712?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036 less than -89744106?\nAnswer: -89744105.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 12*b - 7. Let y be m(-11). Suppose -2*r = -y*r + 24. Suppose 3*f + r = 7*f. Solve f*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 7*r + 3 in the form u*r + s and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -2*a + 3, 6*a - 3*a - 22 = -2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-94080)\/300)\/(-49))\/((-1)\/5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*g = 59*g - 404392. Let f be g\/(-144) + (-3 + 1 - 2). Let u = f - -4228\/3. Find the common denominator of u and 63\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 258547 or 258549?\nAnswer: 258547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 95*x**2 - 2*x + 4. Does 38 divide n(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 0*x**4 + 0*x - 5\/3*x**6 + 0*x**3 + 7\/2*x**2 - 4 + 0*x**5. What is the second derivative of b(i) wrt i?\nAnswer: -200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -1 + p**3 + p**2 - 1 + 0*p**2. What is the units digit of a(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 5, -3, -16\/7, -0.1, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (4 + -2*(sqrt(20)\/sqrt(5)*-5)\/sqrt(2) + 0)*1)**2.\nAnswer: 140*sqrt(2) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a micrometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.637554 millennia to decades.\nAnswer: 763.7554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/141 - -6361\/1128. Calculate the common denominator of -105\/22 and q.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25704 divided by -21.\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*v + 638*v**2 - 216*v**2 - 208*v**2 - 209*v**2.\nAnswer: 5*v**2 + 18*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**3 - u**2 + 2*u - 1. Let l be i(1). Suppose 3*c + 128 = 5*j, j - 14 = -l*c + 30. Suppose -4*t + j = -148. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 136, 146, 156, 166, 176?\n\"Answer: 10*o + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 24*l - 170. Let r(u) = 25*u - 172. Let p(h) = -3*g(h) + 2*r(h). Is p(4) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -k - 31, -i - 2*k - 171 + 164 = 0. Let z(u) = u**3 + 3*u**2 - 6*u - 5. Let g be z(-4). Solve 4*a - a = -3, -g*f - 2*a - i = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12, 53, 228, 567, 1124, 1953, 3108, 4643?\n\"Answer: 9*r**3 + r**2 - r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(175))**2.\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/3385 + -54182\/37235. What is the common denominator of 34\/9 and n?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -467\/696 + 1\/232. Let f be 3\/2*(-4)\/6. Let i be f + 0 - 5\/(-3). Which is the third smallest value? (a) y (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 44*m**2 - 45*m + 11. Give l(45).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2 + 17*k + 2684 = 0. Calculate k.\nAnswer: -44, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 119810.7.\nAnswer: 119811.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 104\/275 + -14\/25. What is the nearest to 1\/2 in -2, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 divided by 2?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -20*o**2. Let m(g) = -4363*g**2 + 6. Calculate m(k(u)).\nAnswer: -1745200*u**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**7\/360 + 3*r**5\/20 - 2*r**2 + 27*r. Let y(s) be the third derivative of g(s). Let x(b) = 3*b**2. Determine y(x(o)).\nAnswer: 42*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 10:49 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1.9, 6, 0.05904 in descending order.\nAnswer: 6, 0.05904, -1.9, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 6*t + 4. Let j be n(-7). Let v be (2 - j\/(-3))*0. Let d be -1*(-1 + (v - 4)). Solve 14 = -4*a - 2, -d*r = 5*a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 1233?\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -16 + 6 - (2 - 6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/3 - 1)\/((-73)\/219). Suppose 0*b = 3*m + 2*b + 16, 0 = 2*m - 4*b. Put -5, m, j in decreasing order.\nAnswer: j, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117.445097+0.3\nAnswer: 117.745097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 168, 166, 164, 162?\n\"Answer: -2*z + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-134)\/10)\/(9\/(-45))?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 166217466 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 5*p - 10. What is u(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c + 9 - 33 - 12*c wrt c?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1555 - 845. Suppose -5*u + 4*f + 0*f + 1186 = 0, -3*u + 2*f = -m. What are the prime factors of u?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000029927 to 7 dps.\nAnswer: 0.0000299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 958*o + 2 - 2 + 827*o - 1780*o. Let t(u) = 2*u**2 + 1702. Give t(y(m)).\nAnswer: 50*m**2 + 1702","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 2*g = -17, t = 5*g - 12 + 37 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, z: 7, y: 3}. Give prob of sequence yy.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8*4\/(-32)*(-18)\/21. Which is the third biggest value? (a) 0.1 (b) d (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*p - 17. Let n(o) = o**4 + o**2. Let v(j) = 8*j**4 + j**3 + 4*j**2 - j + 2. Let m(z) = p*v(z) + 28*n(z). Factor m(d).\nAnswer: -4*(d - 1)**2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 1, -4, -66, -19 in ascending order.\nAnswer: -66, -19, -4, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1539*d - 17468*d - 1065*d to n + b*d and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 6\/11, -4 in increasing order.\nAnswer: -8, -4, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3370248 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/20)\/((-147)\/309). Let k = n - -1\/98. Put k, -4, 1 in increasing order.\nAnswer: -4, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1289 + 1292. Which is the third biggest value? (a) -1 (b) -9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 15, -82*h = -o - 81*h + 2. Let t = -46.1 - 12.9. Are o and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 2. Let d be c(6). Suppose -3*y + 13 = a, d*y + 5*a = 3 + 7. Suppose 4*v + 3*h - 7*h - 4 = 0, 25 = y*h. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 88 - 87 - 1\/(-1) - 18\/10. Determine z so that -3\/5*z**2 + d*z**3 - 16\/5*z - 12\/5 = 0.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.086 times 2?\nAnswer: 2.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2508079.\nAnswer: 7, 358297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 51\/4 of a day?\nAnswer: 306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(4\/(288\/(-12))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*u + 670 + 54176 = 0, -l + 13699 = 5*u. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -9 (b) 2 (c) 2.67 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from {v: 1, a: 2, r: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3729 - 3729. Put r, -1, 6, 0.29 in ascending order.\nAnswer: -1, r, 0.29, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -3.7\nAnswer: 3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 35*a + 150. Calculate v(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*y - 3 = 0. Suppose 0 = -3*c - 9, n + 2*c + 2*c = -6. Let v = n - 8. Is v greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 27399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6097455 by 93807.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 0)*(-o + o - o) + 3*o - 3*o - 2*o + o + 2*o + 0*o as f*o + j and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -2\/15, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 331353 divided by 10041?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35660 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from vvvjvvvvvvvvjvvxv.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-1 + 3*j - 3*j + 2*j - 2*j**3).\nAnswer: -4*j**3 + 4*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9089 or 9091?\nAnswer: 9089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 532, -4, 1, 5, -64, -6 in descending order.\nAnswer: 532, 8, 5, 1, -4, -6, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-3 + (152\/(-48) - (-9)\/6))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/5? (a) 2 (b) 627 (c) -1\/3 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19224423, 19224413, 19224397, 19224375, 19224347, 19224313, 19224273?\n\"Answer: -3*v**2 - v + 19224427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -845 + 844.64. What is the nearest to -1 in -1, p, -1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1152*d + 98 = 960*d + 1826 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + 1111a1c?\nAnswer: 1111a26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u**2 - 7*u - 17. Let s(h) = -4*h**2 - 8*h - 16. Let x(o) = 4*s(o) - 3*t(o). What is x(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41800 = -54*r + 12686. What is the remainder when r is divided by 988?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*c**2\/2 + 132*c + 72 = 0. Calculate c.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 5*t + 13, 4*a - 4*t - 14 + 2 = 0. Let n = -1 - a. Let w be 3 - (-7)\/(n\/3). Is w greater than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 2*n**2 + 51*n + 56*n - 107*n to the form w*n**2 + z*n + j and give j.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**4\/84 + 559*h**3\/21 - 1119*h**2\/14 + 367*h + 5. Suppose c(u) = 0. What is u?\nAnswer: -1119, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00185943 rounded to 4 decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k**3 + 17. Let y(v) = 4*v**3 - 16. Let w(j) = -5*g(j) - 6*y(j). Let n be w(0). Solve -4*h - n = 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 2*q - 27, 138*r + 3 = 140*r + 12*q - 3*q - 45 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 10*h - 9*h, 2*h + 6 = -2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**4\/8 + d**3 + d**2. Suppose -194 + 200 = -2*y. Let f(s) = -34*s - 98. Let t be f(y). Calculate a(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -112, -829, -2022, -3691, -5836?\n\"Answer: -238*t**2 - 3*t + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6525 - 27*w**2 + 25*w**2 + 31904 - 1342*w + 1342*w)*(-1 - 2 + 4) to the form o*w**2 + v + r*w and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-7))\/(1\/7). Suppose 4 = 2*i - o. Suppose 16 = 4*c - 0. Solve -c*p + i = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 1. Let b(a) = 4*a + 11. Give -b(y) + 5*i(y).\nAnswer: y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 772258112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iioo when four letters picked without replacement from {i: 6, o: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-6))\/(12\/(-96)). List the prime factors of (1 - n) + -2 + 794\/2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 = -7. Let m be ((-1)\/(-2))\/(1\/q). List the prime factors of 17 + 0 - (6 - m).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 + 294840*q**3 + 1768920*q**2 + 3537760*q + 2358480.\nAnswer: 5*(q + 2)**3*(q + 58962)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42371399?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*y - 73 - 137 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 5*u**2 - 2*u**2 - 2*u**2 + 3*u**2 - 4*u**2 + (0*u**2 - 5*u**2 + 4*u**2)*(-1 + 2 + 1))*(-3*u + 2*u - u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**(-2\/31)\/b)\/b*b)*b**(1\/30))\/(b*b**24)**(-49) assuming b is positive.\nAnswer: b**(1141201\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 0 (c) -4 (d) 71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 4*q + 6, y = 2*q. Factor 10*z + 2\/3*z**3 + y + 14\/3*z**2.\nAnswer: 2*(z + 1)*(z + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-56))\/((6\/(-88))\/(17496\/(-10692))).\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404*n + 441*n + 77*n.\nAnswer: 922*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5428707257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6147 - 1390. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1392 = 3*h + 419, 0 = -4*u + 3*h + 3847. Suppose 4*f - 2*f - u = 2*q, 2*q = -f + 488. Is 22 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*c + 30235, 4*c = 4*f + 22149 + 2055. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.9846561 centuries?\nAnswer: 9.846561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, d: 4, f: 1, w: 1, o: 2}. Give prob of sequence nwn.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -936.\nAnswer: -935.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 43*u**2 + 46*u - 125. Let g be l(44). Is -25 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 3:51 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*v - 12286, -4*v + 4*b + 11044 + 1256 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*c + 796*c + 156 = 262*c + 269*c - 56*z, 3*z = 2*c - 53 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.25 less than -0.3?\nAnswer: -62.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3126 + 3125.99999448. Round n to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*h - 12 - 12, 0 = 3*h - 2*i - 24. Suppose 2*u = m - h, -5*u - 7 = m - 1. Calculate the remainder when 15 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19186 in -0.2, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -529775 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k**2 + k - 1. Suppose 0 = -a + 32 - 31. What is the least common multiple of 34 and c(a)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 2\/(-4))*0. Suppose l = -g + 3*o - 4, -o = -3*g - 13 + 1. Calculate the least common multiple of 11 and (-30)\/g - 1\/2.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 194095131.8 to the nearest ten thousand.\nAnswer: 194100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 4557263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*q - x + 18, -6 = q + 5*x. Suppose -2*u = -3*g + 3*u + 8, -5*g + 40 = 5*u. Solve -q = 5*d + g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r - 12. Let h be c(7). Suppose -h*l = -7*l - 15. Let k = -1 - -0.8. What is the smallest value in -4, k, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 3*g - 2*s, -2273*s + 2272*s + 3 = -5*g - 5 - 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 840 and 26328?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c + -aa2377?\nAnswer: -aa23b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.09 - -0.09. Let j = -10 - s. Which is the biggest value? (a) -1\/4 (b) -0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 5*g - 6 = 0, 2*g + 10 = -4*l + 5*g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z - 7. Let f be q(18). Let g = f + -52. Let n(v) = -11*v + 4. List the prime factors of n(g).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*u = 126*u - 72 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4166 - 2836. Suppose -j - k = 4*j. Let a = -83 - j. What are the prime factors of a?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4485 is divided by 479.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -639 + 9\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-4598)\/(-1815))\/(11\/((-2145)\/13))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -222 (b) 0.419 (c) 9 (d) -0.5 (e) -7.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43614061 (base 7) in base 15?\nAnswer: 4e1987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*v**3 + 20*v**2 - 2*v - 15?\nAnswer: 36*v + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5857 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -0*p + 2*p. Let r = -10575 + 10871. What is the highest common factor of r and p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 87 = 20*f. Let z(h) = -2*h - 12. Let v(m) = 4*m + 24. Give f*v(q) + 7*z(q).\nAnswer: 2*q + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -108504?\nAnswer: 21700.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = 8*h - 155. Let y = 4 - 2. Solve -u + 4*u + h = 3*b, -y*u - 11 = b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 11*t - 10. Let o be q(-10). Let r = -1 + -2. Let s be ((-10)\/6 + 2)\/r. Which is the nearest to 0.1? (a) -0.2 (b) o (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h**(9\/2)*h)))\/(h\/h**(-5\/4)))\/((h**(2\/59)\/h)\/(h\/(h*h**(-15)*h*h))) assuming h is positive.\nAnswer: h**(4299\/236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89320 and 22939?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/56 and -59\/592?\nAnswer: 4144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10224 + -10223. Sort -3, o, 3, -5, -2.\nAnswer: -5, -3, -2, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5248*s**2. Let w(q) = -38*q**2. Give b(w(z)).\nAnswer: -7578112*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -2*j - 4*p, -5*j - p + 48 = 3*p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126638?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o**3 + 0*o**3 - 4*o + 5*o + o to f + a*o**3 + r*o**2 + n*o and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/6195 and 51\/55?\nAnswer: 68145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 2*n**5\/15 - n**2 - 64*n. Let r(s) = 3*s**2. Let a(x) = -16*r(x) + 5*t(x). What is a(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**4 + b**5 - 4*b**4 - 2*b**5 + (-b**3 + 11*b**3 + 4*b**3)*(-2 + 2 + b**2).\nAnswer: 13*b**5 - b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 158539301*c**3 - 74285254?\nAnswer: 475617903*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -88, -1, -2846, 0 in increasing order.\nAnswer: -2846, -88, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g - 8. Let x be v(0). Let m be (-1)\/(0 + 2\/x). Suppose -144 = -4*l + 4*i, m*l - 7 = 3*i + 136. Calculate the remainder when l is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -135, -274, -417, -564, -715, -870?\n\"Answer: -2*a**2 - 133*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sffffdftqq. What is prob of sequence ds?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314186.\nAnswer: 2, 29, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -554a9 (base 14) to base 6\nAnswer: -4233033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 366 and 4453.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 3, 0.11, 3\/26, 0, 8, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/7, -4, 5, 2.651, 110\/9, -23?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.405129 + -4?\nAnswer: -3.594871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -36 (b) -279 (c) 42 (d) -4 (e) 0 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.604534ml?\nAnswer: 0.005604534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j**3*s**4 - 8*j**3*s - 2*j**3 + 58*j*s - 664 wrt s?\nAnswer: 4*j**3*s**3 - 8*j**3 + 58*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 2:29 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3619*u + 3905. Let a(j) = 3559*j - 3904. Let b(w) = 3*a(w) + 2*g(w). Differentiate b(q) wrt q.\nAnswer: 3439","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 843 - 347 + 3237*m**3 - m - 495 to the form g*m**2 + d + b*m + p*m**3 and give p.\nAnswer: 3237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 32 + 2 - (-50 + 56 - (3 + -2))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34525 by -19.\nAnswer: -34525\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l. Suppose q = -3*y + 2632, -2*y + 5*q + 4400 = 3*y. Let i(b) = -878 + y - b**2. Give i(t(h)).\nAnswer: -49*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58756299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 25, -4*k - d = d + 10. Let o be 18\/4 + 1\/(-2). Let a(l) = 0 + l - o + 0*l. Calculate a(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2.3 (b) -3\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 + 8016035*b**2 - 8016035*b**2 + 8*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (6\/((-108)\/(-6)))\/((-8)\/6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m**2 + 5*m - 5*m**2 - 13*m**2 - 6*m + 23*m**2.\nAnswer: -9*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(784)*-1*5)\/(sqrt(7)*-2*2*6).\nAnswer: 5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1040 (base 5) to base 15\nAnswer: 9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 18 = 3*y, 3*m + 0*m = y + 22. Suppose m*z - 8*z = -826. What are the prime factors of z?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01381 and -121.\nAnswer: 1.67101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 125*m**2*t**2 + m**2*t + 344102*m**2 + 4*m + 4577*t**2 wrt t.\nAnswer: 250*m**2*t + m**2 + 9154*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3.31102076 + -5\nAnswer: -1.68897924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*s**3 - 6 - 3*s + 2*s + 6*s**3 + 0*s**3 to z*s**3 + p*s + x + q*s**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124467 by -124467.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*q - 4. Suppose -3*n - 10 = -2*g + 13, -3*n = q*g - 26. Suppose -5*a = -g - 63. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17\/3*h**2 + 1573 - 737\/3*h + 1\/3*h**3.\nAnswer: (h - 11)**2*(h + 39)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6389 is divided by 112?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l - 97*l - 1702 + 1706 in the form i*l + s and give i.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175, 298, 503, 790, 1159, 1610, 2143?\nAnswer: 2758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 34 = 5*a, -5*a - 5*x + 20 + 20 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/6 + (-16)\/42. Suppose 0 = 10*q - q + 27. Let i be (-5)\/(-20)*(q - (-93)\/39). Which is bigger: o or i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -4*v**3\/3 - 8*v**2 - 13*v. Is t(-11) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 1. Let j(v) = -13*v + 2. Let q(t) = -j(t) - 3*z(t). Let c be q(-1). Let y = c - -9. Solve 2*s + 8 = y, 0 = -p + s + s + 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11203\/4 - 69\/92. Let b be (g\/(-21))\/((-3)\/29700). What is b rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -1. Let f be 2\/u + 5\/(-14). Do 0 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.46 - -0.74. Let t = -10 + w. Sort 4, t, 3\/5 in increasing order.\nAnswer: t, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a634 (base 12) to base 13\nAnswer: -837a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2580, -5161, -7770, -10419, -13120, -15885?\n\"Answer: -2*s**3 - 2*s**2 - 2561*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 855 = -4*f - 4*y - 861, 68*y = 3*f - 213 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 2. Let c = -20 - -20. Let i = c + d. Sort -0.5, i, -4\/5 in increasing order.\nAnswer: -4\/5, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 5 = -5*j - 15, 4*j - 7 = -c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1273*n + 1271*n = o - 42, -n + 30 = -4*o for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18*(3\/(-9) + 1). Suppose -2 - 4 = -2*s. Let m = 2 + s. Solve -m*x = -r - 13 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2596 and 45312?\nAnswer: 498432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-6)*(-60)\/(-108)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*y**2 + 164*y**3 + 147*y**2.\nAnswer: 164*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 7 = -4*o - 3*n, 20 = -5*n. Let z = -4 - o. Let m be 0 + 1\/z - -2. Solve -u + 4 = -m*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 577*z**2 - 12116*z - 4. Determine y(21).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((125\/100)\/(85\/17))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a8c + 0?\nAnswer: -a8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 1. Let q(u) = 2*u - 17. Give -q(m) - 6*s(m).\nAnswer: -2*m + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 975 = 5*q - 2*d, q - 390 = -q + 3*d. Suppose l = 3*f - 7, 5*f + l + 19 - 44 = 0. Suppose -3*x + 0*c = f*c - q, 4*c = -12. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219330028.\nAnswer: 2, 54832507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.254 plus -17.11328?\nAnswer: -16.85928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/8*(-301)\/(-559)*-8?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 10*a - 21. Let s be f(6). Suppose 3 - 2 = -s*h - t, 5*t + 18 = -2*h. Let p(w) = 9*w - 5. Calculate the least common multiple of 22 and p(h).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156710, -313423, -470136, -626849, -783562?\nAnswer: -940275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**3*q**2 + 58158*g*q**2 + 5*g*x + 105769*q**2 - 35*q*x wrt g?\nAnswer: 6*g**2*q**2 + 58158*q**2 + 5*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*x - 8*x - 27*x + (-2 - 3 + 4)*(1 - 1 + x).\nAnswer: -25*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -30. Let q(m) = 2*m - 22. Let z be q(v). Calculate the greatest common factor of 48 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5587, -12875, -21731, -32155?\n\"Answer: -784*h**2 - 4936*h + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -7. Suppose b = 5*a - 226 - 239. Calculate the highest common divisor of 62 and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + (4*sqrt(136)\/sqrt(4))\/sqrt(2))**2.\nAnswer: -1092 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.4360401 to one dp.\nAnswer: -18.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*(-102)\/(-119)*-7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 9 - 1 - 2*p + 4*p.\nAnswer: 2*p - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -56 (b) 1\/5 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13.39 and 2090949.54?\nAnswer: 2090962.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -61, -98, -205, -418, -773, -1306, -2053?\n\"Answer: -6*w**3 + w**2 + 2*w - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -211 by 35.\nAnswer: -211\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 298900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16040, -15852, -15678, -15524, -15396, -15300, -15242?\n\"Answer: -j**3 - j**2 + 198*j - 16236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, p: 3, g: 4, w: 3}. What is prob of picking 1 w and 3 g?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*v + 13*v**2 - 51*v - 59*v + 193*v.\nAnswer: 13*v**2 + 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 20, -2*i + 5*t - 95 = -7*i. Suppose 0 = -5*j - 4 + i. Find the third derivative of 3*h**4 + 2*h**4 - h**j - 9*h**2 + h**4 wrt h.\nAnswer: 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**3 - 4*d + 2. Let s(i) = -4*i**3 - i**2 - 5*i + 3. Let f(n) = 3*p(n) - 2*s(n). Let k(h) = -h**3 + 2*h**2 - 3*h. Calculate -4*f(z) + 3*k(z).\nAnswer: z**3 - 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/13)\/(h*h\/(h**0\/h)*h*h)*(h**(-1))**(-33\/5)*((h*h**(-2\/15)*h)\/h**3)**(-38) assuming h is positive.\nAnswer: h**(1748\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-198)\/1045)\/((-4)\/160*-123 - 3). Which is greater: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.641834 and 1.3?\nAnswer: 7.3343842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1615 or -2548?\nAnswer: -1615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqz when four letters picked without replacement from {q: 8, z: 3, f: 5}.\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(24\/52)*-89. Let l = h + -394. Which is bigger: -9 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 47*j**2 + 1. Let y be p(-1). Suppose -5*t = -27 - y. Calculate the greatest common divisor of t and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 1020 - 2142 = -1045 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 896 - 900.57. Round d to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and ((-54)\/(-12))\/((-12)\/(-80)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m. Let i(a) = -14*a - 32. What is i(t) + 6*y(t)?\nAnswer: -2*t - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five quarters of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, 4, -4, -7292, -2, 3 in increasing order.\nAnswer: -7292, -4, -2, 3, 4, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/7)*k**(1\/7)\/k*(k**0)**6 assuming k is positive.\nAnswer: k**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1944120754 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 117375 divided by 23475?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22.6023805 - 0.082\nAnswer: -22.6843805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-9))\/((2304\/243)\/(-16))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 9:22 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -1873*p**7\/105 + 1045*p**3\/6 + 37*p**2 + 41*p - 1. Find the first derivative of s(a) wrt a.\nAnswer: -14984*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.12 to the nearest integer.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 31\/((3\/(-6))\/(3\/(-6))). Let q = b + -26. Solve -16 = -4*c + q*h, -3*h - 22 = 2*c + 2*h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6729, 6739, 6749, 6759?\nAnswer: 6769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-3)\/4))\/(3224\/124)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -331?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10856 - 3674. Is 19 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x + 3*x - 5*x + (-1 + 1 - 2)*(-3*x + 2 - 2) + x + 0*x - 2*x + 3*x - 4*x + 3*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -6 + 0 - -11) + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/8 + 4329*p**4\/8 - 1033763*p**3\/8 - 5242457*p**2\/8 - 1053258*p - 1055425\/2 = 0. What is p?\nAnswer: -2, -1, 259, 4075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 1607*l = 1612*l + 15, -4*v + 4*l - 20 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*k**2 - 5*k**5 - 5*k**4 - 31*k**2.\nAnswer: -5*k**4*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 5*h + 163, 0 = -a - 4*h + 9*h + 74. Solve 0 = a*k - 83*k - 36 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*b - 0*b. Find the second derivative of 11*i**5 - i**3 + i**3 - b*i + 4*i wrt i.\nAnswer: 220*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-88)\/90)\/22*10. What is the biggest value in 1\/6, l, -0.9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 45, 218, 507, 912, 1433, 2070?\n\"Answer: 58*l**2 - l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -1 - -2) + -5 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -414 + 313. Which is smaller: q or -305\/3?\nAnswer: -305\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2788 is divided by 399?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15986542 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*p = -3*r - 55*p, 0 = -r - 2*p. Let t(h) be the second derivative of -5\/24*h**4 + r - 7\/12*h**3 + 12*h - 1\/2*h**2. Factor t(l).\nAnswer: -(l + 1)*(5*l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11704884 to the power of 1\/2, to the nearest integer?\nAnswer: 3421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 154168531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 390.\nAnswer: -1\/390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + (sqrt(55) - (sqrt(1375) - (sqrt(1375)*-1 - sqrt(1375)))))\/(-6*sqrt(11)*1).\nAnswer: 13*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3609 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6691, 13656, 20893, 28402, 36183, 44236?\nAnswer: 52561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 0 + 6 + 2*i**3 + 7*i + 7*i**2 + 1 - i**3. Let l be b(-6). Let z = l - -3. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1228*k + 3952 = 15004 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 166846 = -16*c + 206274. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -568805 from 6.\nAnswer: 568811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 344823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times -0.0251544?\nAnswer: 0.00125772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45775619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8223520 a multiple of 515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1)*w)\/(w\/((w\/(w\/((w*((w**(-4)*w)\/w*w)\/w)\/w*w)))\/w)))**(-3\/14) assuming w is positive.\nAnswer: w**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 1985935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/4*(4 + -2). Let d be (-1)\/((2 + t)\/2). What is the remainder when -1*(-13 - 2) - d is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 841793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l - 18. Let b be g(-6). Suppose b*h = -4 - 26. Let w(c) = -7*c**2 + 9*c + 1. Let r(m) = 4*m**2 - 5*m - 1. Determine h*r(z) - 3*w(z).\nAnswer: z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 82124.4 and -0.4.\nAnswer: -32849.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -6. Let z be 24\/56 + h\/(-7). Let y = z + 29. What are the prime factors of y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 = -10*i + 105 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 139090834499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11287 + 2436 - 5427 = 254*v - 12*v for v.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(-3) - (-3000)\/576 and 13\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 122400181 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19128*(8532\/16 - 0). Suppose -2*y = 2*f + z, 0*y - 3*f + 25499991 = -5*y. Round y to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -1\/5 (c) -0.7 (d) 783\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 278411178638.9200008 - 278411073071. Let j = -105568 + x. Let u = 0.08 + j. Round u to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2 + 8 = 3*h, 19 = 4*h + 3*s. Suppose -j = 4*d - 0*d - 117, 5*j - 165 = -5*d. Solve -4*b = -5*y - 17, -3*y = -7*y - h*b - d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/11 + 133328*j\/11 - 2222044448\/11.\nAnswer: -2*(j - 33332)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*l - 8*l + 0*l)*(0*l + l - 2*l) - 2*l**2 + 0*l**2 - 2*l**2 as v*l + g + k*l**2 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1760737?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -1948*o - 1948. Let r(p) = -2*p - 1. Calculate m(t) - 1948*r(t).\nAnswer: 1948*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwaqskkwkqwwqqkq. What is prob of picking 2 q?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11630 - 299. List the prime factors of q.\nAnswer: 3, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x - 13. Let q be 176\/6 + (-14)\/(-21). Suppose -2*d - 10 = 0, 2*d = -5*o - d + q. Let w be g(o). Calculate the greatest common divisor of w and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/2 + 231*j**2 + 16758*j - 2476460.\nAnswer: (j - 70)*(j + 266)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 6:44 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -105*h**4 + 4*h**3 + 25*h - 9. Let o(a) = -106*a**4 + 5*a**3 + 24*a - 10. Let x(y) = 5*b(y) - 4*o(y). What is the second derivative of x(p) wrt p?\nAnswer: -1212*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**5\/20 + 2*w**3\/3 + 4*w. What is the second derivative of b(d) wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -21*k**3 - 158*k**2 - 239*k - 102 = 0?\nAnswer: -17\/3, -1, -6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 200*l**3 - 22*l**2 + 6. Let p(c) = 600*c**3 - 62*c**2 + 17. Determine 17*a(f) - 6*p(f).\nAnswer: -200*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262326.2km to nanometers.\nAnswer: 262326200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 47. Suppose -4*v = u - 163, j*v + 330 - 52 = 2*u. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (-26 - -14 - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53074 is divided by 7541?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 4*u + 79. Let d be o(11). Solve 8 = c + b + 2, 0 = -d*c - 5*b + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 9*w. Suppose -6*s + 3*s - 30 = 0. What are the prime factors of m(s)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 823308*a - 823323*a + a**4 + 7*a**2 + 2*a**3 + 5*a**3.\nAnswer: a*(a - 1)*(a + 3)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/7 (b) 6 (c) 0.08 (d) 0.2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 965 and 53.197?\nAnswer: 911.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 161 - 161.1. What is the nearest to s in 1.6, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + -2 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z + 2. Let u be b(0). Let s be u\/4 - ((-1)\/(-2) - 2). Solve 0*y = s*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1 - 1) + 1)*1. Let b be (-10)\/(0 + -1 + t). What is the second derivative of 2*m - m**5 + m**b - m**5 wrt m?\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7.2 (b) 0.9 (c) -716 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -18. Suppose 18 + 6 = 4*v. Suppose r = -r + 3*m - v, -m = -5*r - 2. Put 2, r, w in ascending order.\nAnswer: w, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/4)\/1*(-1825 + 1829)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-2))\/(6\/(-8))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 6:32 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 3, 0, -4, -600\/13, 5.\nAnswer: -600\/13, -4, 0, 3\/5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 1, -18, -3, -2, -4, -38 in decreasing order.\nAnswer: 1, -2, -3, -4, -18, -38, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 209*v + 2*v**3 + 0*v**2 - 3*v**2 + 2*v**4 - 3 - 205*v + 0*v**2 + 0*v**2 in the form x*v**4 + t*v**3 + j*v**2 + z + a*v and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -12*c + 10. Let x(o) = 13*o - 10. Let w(h) = -4*x(h) - 5*z(h). Does 16 divide w(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 3, w: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((1*sqrt(78) - sqrt(78)) + sqrt(78) - sqrt(78) - sqrt(78))\/sqrt(6) + 3 + sqrt(637) - (0 + sqrt(832)*2*2)**2).\nAnswer: -6*sqrt(13) + 13309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -1 - -7) + 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -145530001 (base 6) in base 10?\nAnswer: -3075409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 x when three letters picked without replacement from xxxe.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 23 + 22*z**3 - 23.\nAnswer: 22*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 44.72293 * 0.03\nAnswer: 1.3416879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 152879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1236 (base 9) in base 14?\nAnswer: -4a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 25267758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011012110101 + -12?\nAnswer: -2011012110120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 128\/6 - 7\/21. Let w(b) = b**3 - b + 2. Let m be w(0). Is s\/m*26\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 + 41. Let k(l) = -2*l**2 - 7*l + 1. Let r be k(i). Let n be (r\/16)\/(-38*1). Is n at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/86105 and 17\/100.\nAnswer: 1722100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 111, -2, -6 in increasing order.\nAnswer: -6, -2, 2, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**4 + 5*c**4 - 4 + c**4 + (-2474 + 31*c + 2474)*(-2*c**3 - c**3 + 0*c**3) to s*c**3 + p*c**2 + x*c**4 + d + j*c and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 w when three letters picked without replacement from xwwfwwx?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/11, -5, 0.3, -2\/9, 1\/2274, 0.2, 5?\nAnswer: 1\/2274","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 5*a**4\/4 - 40*a**3 - 256*a**2. Let n be l(8). Do n and 2\/1405 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*g + 12*g**3 + 16*g)*(13*g + 13*g - 24*g) to s + c*g**2 + m*g**3 + f*g + w*g**4 and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 0.0211245 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30028 - 26392. What is the least common multiple of p and 1818?\nAnswer: 3636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 3. Let n = 5 - 3. Let w be (-18)\/(-14) + n\/(-7). Let x(l) = 1. Let t(u) = -4*u**2 - 8. Let a(f) = w*t(f) - 5*x(f). Give 6*a(v) + 26*r(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 481, 396, 311, 226, 141, 56?\n\"Answer: -85*s + 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40007.55263 - -11357.\nAnswer: -28650.55263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 88411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 305707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from ejjjjejjejjeeeejeej?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415 = 4*a + 5*h, -6*h = -5*a - 5*h + 555. Suppose -51 = 3*r - 2*k, -5*k = 3*r + 2*r + a. Which is bigger: r or -22?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by (-34)\/6*(32 + -35)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -3*q**4\/4 - 2*q**3\/3 - q**2 - 5. Let w be y(-1). Solve -2*u - 5 = w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 (base 5) in base 15?\nAnswer: -3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 14, w: 5}. What is prob of sequence swsw?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 170 - 173. Which is the nearest to -0.3? (a) d (b) 3 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 329 and 150185.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13106279*z - 19578367 wrt z?\nAnswer: 13106279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 5*d + 2*d)*(-2 - 5 - 8) - 11 + 11 + 5*d.\nAnswer: -40*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkk when three letters picked without replacement from kddkdkk?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -190*g**2 + 8*g. Let y(f) = -190*f**2 + 6*f. Determine 3*k(v) - 4*y(v).\nAnswer: 190*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyyv when four letters picked without replacement from yvovovovvvyvyyvo?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32.55 + 7.1. Let p = -0.021 - 25.979. Let c = k - p. Round c to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.959273 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*r - 158 = -16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17.5, 1, -8.5 in decreasing order.\nAnswer: 17.5, 1, -8.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -5)\/(-4)*-1 + -2. Sort 4, -5, z in increasing order.\nAnswer: -5, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 2*o**2 - 354*o - 1849. Calculate h(0).\nAnswer: -1849","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3725 - 2907. List the prime factors of p.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, d: 1, k: 3, a: 1}. Give prob of picking 2 k and 1 a.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 9:27 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2. Suppose 0 = -3*t + 5 + 1. Let w be (2\/(-4))\/((-1)\/t). Let y(q) = -1 + 2 - 4*q - w. Calculate v(y(z)).\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -5382 at least as big as -5586?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -1\/313, 9, -2, 0.4 in descending order.\nAnswer: 9, 0.4, 1\/9, -1\/313, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2579490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (5 + -1) - 0) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67959 and 25786665.\nAnswer: 7551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8353 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2894884159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -0*n + n - 2*h, 5*n = 3*h. Let y be 1*n + 1\/((-6)\/(-22)). Which is bigger: y or -1\/17?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1116699 is divided by 186116?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 + 2.6. Let z = -2.9 + t. Which is the closest to 0? (a) z (b) 3\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 399820 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 488417 and 488395 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -572 = -11*v - 2*v. Let b = -42 + v. Sort 5, b, -2, 4 in ascending order.\nAnswer: -2, b, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(132)\/sqrt(3) + sqrt(44).\nAnswer: 2 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*z + 33*z = 64*z - 5*f - 60, 3*f = 31*z + 1252 for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t**2 - 7*t**2 - 5*t**2 - 3*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 + 3*j**3 - 4*j**3 + (39 - 19 + 32)*(j + 0*j + 0*j)*(3 - 3 - j**2) to a*j**3 + w + i*j**2 + l*j and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1712999000 to the nearest one million.\nAnswer: 1713000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from {f: 2, y: 1, o: 1, v: 2, p: 1, h: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17071 + -12087. Let r = -1325 + x. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 82 (c) 240\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3 - 10 = -3*u, 2*u - 9 = 3*d. Suppose -10 = -5*v, 3*v + 0 = 4*n - u. Suppose 5*o = -n*r + 17, -3*r + 13 = -o + 2. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 582*t - 584*t + 54 = 0. Calculate the remainder when t is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 6:52 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2915713211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.91 + -0.79. Let n = 2.42 - c. Sort 22, 2, n.\nAnswer: n, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/12)\/(1\/(-3)). Let c = l - -12. What is the remainder when c is divided by 2\/3 + (-14)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54010 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -10.11 and -1.\nAnswer: -11.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 29*d = 28860. Suppose -3*m - 12*p + d = -14*p, -4*m + 3*p + 1480 = 0. What are the prime factors of m?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.1 (b) -4 (c) -3\/8 (d) 2 (e) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5, 2, 0, 5533 in decreasing order.\nAnswer: 5533, 7, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 186*t - t**3 - 550*t**2 - 37*t + 553*t**2 wrt t.\nAnswer: -6*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 976468314 and 11244?\nAnswer: 5622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 51\/(-18) + 4497010\/1020. Which is smaller: 4405 or i?\nAnswer: 4405","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2892152, 2892409, 2892666, 2892923, 2893180, 2893437?\nAnswer: 2893694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2. Let d(b) = 0*b + i + 3 + 2*b**2 + 5*b. Let c be d(-3). Calculate the highest common factor of 48 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 - 33 = -2*s. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35268059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 9. Suppose -33*k + 32*k - 50 = 0. What is the remainder when (k\/15 + 3)*-66 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -17433741072?\nAnswer: -17433741074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 10*l**2 + 13*l + 26. What is n(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20*7\/63)\/(18\/(-1215)*-15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 0*z - z)*(-5*z + 2 - 2) + 7*z**2 - 75*z**2 - 61*z**2.\nAnswer: -139*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**3 - 3*f**4 + f**4 + 10*f - 12*f to n + p*f**3 + x*f + j*f**4 + b*f**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 277, -3, 0, -1 in ascending order.\nAnswer: -3, -1, 0, 9, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*t - j, -5*t - 4*j + 16 = -6. Suppose -t*g = -5 - 23. What is the remainder when 69 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 0.1 (c) 1\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 938.\nAnswer: 4690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m = -4308 + 4416 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.30917 less than -0.173605?\nAnswer: -7.482775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -186187 - -515604. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/24*3\/2. Let r = -2701\/60 - -679\/15. Which is the closest to -0.2? (a) r (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6647*o*r + 1092*o - 105595063*r wrt o?\nAnswer: -6647*r + 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -17*z + 1050 - 285. Calculate the remainder when z is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -265 + 786. Is p a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1080, 2171, 3266, 4365, 5468?\n\"Answer: 2*i**2 + 1085*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -19556830.4 to the nearest one hundred thousand.\nAnswer: -19600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48 - 54 - (6 + -9 + -4)) + -5 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 307909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 1899678.\nAnswer: -759871.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*(0 + 2 + (1 + sqrt(396) - sqrt(396)) - (-2*sqrt(66)*-1)\/(3*sqrt(6)*-1)))**2.\nAnswer: 144*sqrt(11) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-206*y - 1263*y - 19*y**2 + 16*y**2)*(4*y**2 - 2*y**2 - 3*y**2)*(10*y - 4*y - 8*y).\nAnswer: -6*y**5 - 2938*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3575071, 7150179, 10725287, 14300395, 17875503?\n\"Answer: 3575108*z - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 63\/3 + 3 + -18\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*p**3 + 7*p - 5*p**4 + 39*p**3 + 31*p**3 - 6*p - 5 as x*p**2 + l + r*p + a*p**4 + q*p**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 77 - 62 - (2 - -14)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 86. Let o(l) = l + 88. Give 2*a(v) + 3*o(v).\nAnswer: v + 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -458190 divided by -91638\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377795 is divided by 1364.\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 9*v**2 - 6. Let y(q) = 15*q**2. Determine h(y(a)).\nAnswer: 2025*a**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 238095.333 minutes?\nAnswer: 23.62056875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*w + 3. Solve x - 2 = w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*m + 5*v, 12*m + 5*v - 29 = 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216629?\nAnswer: 7, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23218 divided by -47.\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00024297 to five decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1564109 is divided by 1572?\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 9. Let t = 4 + s. Let f be 2 - 7\/((-14)\/(-4)). What is the closest to 1 in f, -4, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 51 = -4*q, 2*v + 14814*q - 14817*q - 22 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -142?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*r + 3*w, 0 = -5*w + 2*w + 12. Let s be ((-1)\/1)\/((-15)\/(-42) - r). Is s less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56072212819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (50 - -1)*(-13)\/(585\/(-15)). Is (7 - 2) + (124 - v) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 13. Let b be u(0). Let o = -4 - -3. Let s = -0.24675 - 2.75325. What is the nearest to o in -0.4, b, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*4\/48*-9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 1384.9.\nAnswer: 1385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1596\/(-171) + 10)*(-3)\/14?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -3.491, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 383492 divided by -124.\nAnswer: -95873\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112 - -112.4. Which is the second smallest value? (a) 3 (b) y (c) -290\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2. Let y(u) be the second derivative of 0*u**2 + 2*u + 1\/6*u**3 + 0. Determine y(j(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**3\/6 - 5*a**2\/2 - 6*a. Suppose 0 = -17*o - 59 - 145. Give k(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2061015462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -383515 to the nearest one thousand.\nAnswer: -384000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*w. Let t be 1 + w\/(2 - 3). Let h be 9*(-2)\/14 + t. Is h <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 857*y + 4. Let k(x) = -1711*x - 7. Calculate 8*k(l) + 15*m(l).\nAnswer: -833*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*k**3 + 53*k**3 - 32*k**3.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 128*f = 131*f + 26, 0 = 3*f + 24 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*(sqrt(350) + sqrt(14)))\/(sqrt(700) + (sqrt(700) - sqrt(700)*1)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 577, 814, 1061, 1324, 1609, 1922, 2269?\n\"Answer: n**3 - n**2 + 233*n + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -3, 769341 in increasing order.\nAnswer: -5, -3, 0, 769341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 2\/5 (c) -3\/4 (d) 9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhw when four letters picked without replacement from {w: 2, h: 17}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 5:51 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuysecu. What is prob of sequence uuus?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -10. Calculate the remainder when (4\/(-10))\/(q\/(-670)) is divided by (1 - -45) + -8 + 1 + 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2623143.1863 to the nearest one hundred.\nAnswer: 2623100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6 = 2*y - 5*y, 0 = 4*y - 5*x + 11. Let t(s) = -s**2 + 12*s + 10. Let o be t(13). Let c be y + o - 2\/4. Are -2\/5 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -7*g + 28, 4*g = d - 5914 + 5930 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/3*(20 - 26009) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5630 or -1\/30?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*(g*g\/g**(-3\/11)*g)\/g)\/g)\/(g*g**(-2\/11)\/g))\/(g*g*g**(-4\/5)*g*g*g*g**5\/g) assuming g is positive.\nAnswer: g**(-261\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2814 a factor of 799443330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkkkkkkkkxkkk.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97715983 - 57676010. Suppose -w = 5*k - 3489973. What is k rounded to the nearest 100000?\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12035240000 rounded to the nearest one million?\nAnswer: 12035000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4 - 264*j**3 - 5805*j**2 + 264*j + 5808.\nAnswer: -3*(j - 1)*(j + 1)*(j + 44)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/7 + 29\/63. Let g = -26.9 - 0.1. Let t = -26.6 - g. What is the closest to 2\/7 in 0.1, u, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*j - j + 4*j)*(1 - 2 + 3) + (0 + 0 - 3*j)*(-1 - 4 + 6) - 9*j + 5*j - 17*j as r + w*j and give w.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 + 1258?\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -b6048 (base 12) to base 3\nAnswer: -110010012002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -9. Let x = -8 + y. Let f = 1.4 + -1. Which is the second biggest value? (a) x (b) f (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 62*a + 5. Let c(z) be the second derivative of z**4\/6 - 1097*z. What is d(c(m))?\nAnswer: 124*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 595*t - 39931 = -1182*t + 32926 for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4238792 and 12.\nAnswer: 12716376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 709 - 267. What is the greatest common divisor of d and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, -202, -939, -2490, -5149, -9210?\nAnswer: -14967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 6*z + 5 + 3 + 3 in the form n + g*z and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 16\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -12, -49, -112, -207, -340, -517?\nAnswer: -744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9830?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 258, 496, 734?\nAnswer: 972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*p + 365692 - 59248. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2261, 1136, -741, -3370, -6751, -10884, -15769?\n\"Answer: -376*v**2 + 3*v + 2634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a8d5 (base 14) to base 10.\nAnswer: 67611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m**2 + 47434330 + 4*m**3 - 47434330.\nAnswer: 4*m**3 - 11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -239 - -293. Let j = 145 + f. List the prime factors of j.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 14 = 7*z, -z - c - 235 = -237 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -751 - -750.8494. Let m = -0.136 - l. What is m rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**5\/19 + 468*z**4\/19 + 1420*z**3\/19 + 480*z**2\/19 - 1418*z\/19 - 948\/19 = 0. What is z?\nAnswer: -2, -1, 1, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*t = 2*h - 54*t + 8, 2*h - 4*t + 20 = 0. Let p(a) be the second derivative of -2\/3*a**3 - a**5 + 0 + 4*a**h + 27*a - 8\/3*a**4. Factor p(u).\nAnswer: -4*(u + 1)**2*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32533*o**3 + 8 - 10 + 2.\nAnswer: 32533*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 7*y - 89. What is the remainder when a(14) is divided by 0 - 0 - (-3 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97425695 to the nearest integer?\nAnswer: 9870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44492231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 2:50 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 69, 276, 623, 1110, 1737?\n\"Answer: 70*s**2 - 3*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2835134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2709 and -119\/1548.\nAnswer: 10836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -11*r + 0*r**3 + 1 + 25\/2*r**4 + 0*r**2 + 39\/4*r**5. Find the third derivative of h(d) wrt d.\nAnswer: 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8965 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -9*a**6\/10 - a**5\/10 - 22*a**2 + 14*a. Find the first derivative of g(x) wrt x.\nAnswer: -108*x**3 - 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7495600 rounded to the nearest ten thousand?\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/6 + 575\/15. Suppose 4*y - 49*q + r = -53*q, 30 = -y - 5*q. Sort 6, y, 1 in increasing order.\nAnswer: y, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 - 35. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -88\/3*z + 30 - 2\/3*z**2.\nAnswer: -2*(z - 1)*(z + 45)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/27)\/h*h**20 assuming h is positive.\nAnswer: h**(515\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448 is divided by 121?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 67638 and 0.007?\nAnswer: 473.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 213? (a) -2 (b) -0.189 (c) -9 (d) 2 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + 0.6. Let j = 0.10958 + -0.60958. Let z = -0.22 + -0.08. What is the nearest to 1 in j, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2 + (sqrt(44) + -2 - 2*sqrt(275)) + -5)**2 + -2.\nAnswer: 144*sqrt(11) + 781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -7.25. Let t = -2556.75 + 2557. Let r = l + t. Is -3 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (8 + -1 + -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*u + 66 + 114. Let i(y) = 4*y**2 - 13*y. Let z(c) = 3*c**2 - 12*c. Determine u*i(x) - 6*z(x).\nAnswer: 2*x**2 + 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - -29. Let l be (1 - (-7 + 6))\/((-2)\/(-27)). What is the highest common factor of i and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**3 + 4*y**2 - 68*y + 8. Let z(l) = l**2 - l + 2. Let x(i) = -s(i) + 4*z(i). Factor x(f).\nAnswer: -4*f*(f - 4)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42.1 - -47.1. Let y = 0.05 + 3.95. Which is the nearest to 0? (a) 1\/6 (b) q (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*y - 488647 = -8*f, 3*f - 3*y = 488646. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-6))\/(3 - 2)*12. Is (596\/h)\/((-26)\/117) a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(6\/16 - (-9)\/(-216)). Let q(f) = -f - 6. Let o be q(-8). Let p(h) = 48*h**2 - 45*h**2 - 3*h + o*h**3 - h. Determine p(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.14, 7.3, -2\/7, 1 in increasing order.\nAnswer: -2, -2\/7, 0.14, 1, 7.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 747 + 1432. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-348)\/232*298\/(-2376) and -25\/234.\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 884*t**6 - 3712*t**2 wrt t?\nAnswer: 106080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 17*m**3 + 9*m**2 - 4*m - 4. Let o(i) = -16*i**3 - 8*i**2 + 3*i + 3. Let d(f) = 4*o(f) + 3*v(f). What is the third derivative of d(c) wrt c?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166397396 rounded to the nearest ten thousand?\nAnswer: 166400000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*z**3 - 37046042*z**2 - 3299059575272*z + 190330483416 = 0.\nAnswer: -178106, 3\/52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from uwujwjwuwwuw.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/177477 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56897198 + 56897143.000053. Let l = 55 + g. What is l rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2*f + 2*f - 64, -4*n + 89 = 5*f. Suppose -37 = h + f. Let q = -13 - h. What is the greatest common factor of 18 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115556843 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/8)\/t)**(-45)\/(t**(-26)*t*t*t\/t**23*t) assuming t is positive.\nAnswer: t**(675\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 > 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1.021 times 0.0817\nAnswer: 0.0834157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807549 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - (-4)\/30 - (-226825577)\/9435?\nAnswer: 29, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -299 - -309. Suppose 0 = -4*l + 9*h - u*h + 68, 5*l - 96 = -4*h. Calculate the remainder when l is divided by 3\/(2 - (-5)\/(-3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 4, -20538, 0.12, -3\/7, -1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 77, 92, 107, 122?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - -2*sqrt(432) - sqrt(432))**2 - -3*sqrt(27)) + -5 + 4*-4*sqrt(36)\/sqrt(48).\nAnswer: sqrt(3) + 1723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 249 + -246. Suppose 3*o = k + 2, 5 + 1 = 3*k - 3*o. Suppose -k*b + y*b = -96. Calculate the remainder when b is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -1. Let i = 15 - 13. Calculate the greatest common divisor of i and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 4*l**2 - 2*l + 3. Suppose 0 = 4*u + 5*o + 32, u + 6*o = o - 8. Let p = -11 - u. Let g be f(p). Solve g*x = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*u + 17 = 3*k + 228*u + 67, 0 = -5*k - 5*u - 85 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 163.5 - 163. Which is the closest to -0.1? (a) p (b) 3 (c) 10\/27 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 * -19.7.\nAnswer: 512.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3627 and 682?\nAnswer: 79794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 (base 14) in base 2?\nAnswer: 1010100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -60022, -60027, -60034, -60043, -60054?\n\"Answer: -b**2 - 2*b - 60019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1076 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by -3\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/58843 - 65045\/470744. Find the common denominator of p and -75\/182.\nAnswer: 13832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 9 = -4*a. Let i be 5 - (-6)\/9*a. Solve 20 = -i*v + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4349*q**4*u**3 - 2*q**2*u**3 - 162*q*u**3 - 14*q wrt q.\nAnswer: 52188*q**2*u**3 - 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 12) in base 3?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 q when four letters picked without replacement from {q: 8, j: 2, b: 5}.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (76\/57)\/(1 + (-10)\/12). Solve -2*v = x - 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74681691?\nAnswer: 3, 7, 3556271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -128*f**5 - 1616*f**4 - 7788*f**3 - 17388*f**2 - 16740*f - 4212 = 0.\nAnswer: -13\/4, -3, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 574780 and 4454545.\nAnswer: 17818180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8943 and 0.0097.\nAnswer: 8943.0097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17545936 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1118980 is divided by 186491?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 6*n**2 - 17*n + 15. What is c(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1658289*g*m - 590606024*g - 2*m**2 + m wrt m?\nAnswer: -1658289*g - 4*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53906 + -24939. List the prime factors of g.\nAnswer: 83, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68 + 73. Solve -b*l - 4 = -4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 = -87*n + 22 + 194. Solve -5*x = -n*v, 0 = -79*v + 74*v - 3*x + 24 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1260) + sqrt(1260)*-2*-3)\/(sqrt(28)\/((sqrt(4) + sqrt(64))*-4)) + -4)*5.\nAnswer: -4200*sqrt(5) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -63336 divided by -42?\nAnswer: 1508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 116434342 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h**3 - 2*h**3 - 2*h**3)*(20 - 20 + 10*h**2).\nAnswer: 20*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 m when two letters picked without replacement from tpm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 8*v. Let i(s) = -36*s**2 + 2*s. What is c(i(x))?\nAnswer: -288*x**2 + 16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - -45. What is the remainder when v is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*u = -0*u + 3*u. Factor q + u - 1\/2*q**2.\nAnswer: -q*(q - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tszzxxziiiixiux. Give prob of sequence ti.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -89725\/3 or -29907?\nAnswer: -29907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 6 = 5*q - 0*l, -l = -q - 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 > -226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -84 - -307115?\nAnswer: 307021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + -5)\/(3\/(-19)). Find the second derivative of 34*h**5 - 3*h - 32*h**5 - y*h wrt h.\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3031276876?\nAnswer: 2, 233, 3252443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 417.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -39, -38, -37?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 - 14024990*u**3 + 7012492*u**3 - u**2 + 0*u**2 + 7012491*u**3.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-13)\/(-65) - 14034\/15*-3?\nAnswer: 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from {t: 1, i: 2, g: 5, s: 6, r: 5}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -9. Suppose -2*r - 64 = -w*r. Let x be 2\/8*r\/(-18). Which is smaller: -0.1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence de when two letters picked without replacement from eddddededdddedde.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 449.4 - 449.5. Let i = 4 - 7. Which is the biggest value? (a) i (b) -4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + sqrt(272)*-1*6).\nAnswer: -96*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -u - 0*x + 11, -3*u + 27 = -3*x. Suppose 0 = -a - a + 16. Suppose -3*g + v = -u*g + 6, -3*v - a = 2*g. Solve -g*t + 6*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62.6 + -70. Let s = g - -8. Round s to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -140026 - -41?\nAnswer: -136655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -41. What is the remainder when 69 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b9a - 66?\nAnswer: 2b34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -4*h**2\/5 + 6*h\/5 + 208\/5 = 0.\nAnswer: -13\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-6 + 2 - (-3 - 758)). Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 11:15 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 240*y + 1923. Let m be f(-8). What is the second smallest value in -2\/5, m, 10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000506513 rounded to 7 decimal places?\nAnswer: -0.0000507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -208+-460460.044\nAnswer: -460668.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -8, 2\/5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 1\/362 (b) -14\/47 (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 1.27?\nAnswer: 0.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47867 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 21\/3)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 4. Let f(k) = 2*k + 4. What are the prime factors of f(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*p - 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 3*v + 2*j - 80 = 0, -12*v - 12*j + 31*j - 788 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51941 is divided by 428?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/4050 and 103\/16155450?\nAnswer: 16155450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -8*t**2 - 26. Let g(z) = 5*z. Determine o(g(w)).\nAnswer: -200*w**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108.4 + -108.561. Let a = -19.2 + 19.311. Let d = g - a. What is d rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -148.96 - -148.66. Let n = 57 - 227\/4. Which is the nearest to t? (a) -6 (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31.0046 + 31. What is d rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1174655.\nAnswer: 5, 234931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5 + 5*y - 2*y - 3. Let t(f) be the second derivative of -2*f**3\/3 - 3*f**2\/2 + 49161*f. Determine -3*l(k) - 2*t(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 14*k**2 - 38*k + 600. What is the tens digit of s(21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1287952*w**5 - 46*w**3 + 53613*w - 2213?\nAnswer: -25759040*w**3 - 276*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 294276*r**3 + 137821*r?\nAnswer: 1765656*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/289 and -145\/6?\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 10*g - 9. Let a(l) = l**3 + 2*l**2 - 5*l - 4. Let o be a(-3). Suppose -o*h = -h - 8. What is the remainder when z(-6) is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-13)*(-18)\/30*(-4)\/4?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 2612876?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 571770, 1143542, 1715314, 2287086, 2858858, 3430630?\nAnswer: 4002402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1941 = -1386. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -309025170 divided by 90\nAnswer: -3433613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 8*w = -w - w - 2*x - 34, -2*x - 5*x = 84 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 + 47 - 483 - z + 117 + 0 + 108.\nAnswer: -z - 145","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 1 - 1)*(8*b**4 - 7*b**4 + 12*b**4) + 53*b - 53*b - 3*b**5 - 4*b**3 + 4*b**3 + 3*b**5.\nAnswer: 26*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61.6 - 17.4. Let d = q + 78. Which is the closest to d? (a) -1\/2 (b) 5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-129)\/(-1935) + 52\/(-105). Which is bigger: -4\/23 or h?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/992920 and 71\/1040?\nAnswer: 25815920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 g when three letters picked without replacement from aajawayrarraayjjyg?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 12, d: 7}. Give prob of picking 4 z.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/5)\/((w\/(w*w*w**(1\/29)\/w)*w)\/w)*w**(-4\/5)\/w*w*(((w**(-12\/13)*w)\/w*w)\/w)\/w assuming w is positive.\nAnswer: w**(-4691\/1885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 136997557*n**3 + 2*n - 331927663 wrt n.\nAnswer: 410992671*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-288)\/30 + 9)\/((-1)\/5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291*w - 86727578 - 372460363 = -42412794. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/24 + (5 - 13\/4). Let i = -1.5 - -1.1. Let l be (2 + (-7)\/3)*1. Which is the closest to -1? (a) l (b) g (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4550 + -4550.3. Let y = 0.8 - -12.2. Let v = 7 - y. Sort v, 8, u in descending order.\nAnswer: 8, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 48.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 339242231 to the nearest integer?\nAnswer: 18419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97*p**3 + 114*p**3 + 191*p**3 + 2*p**2 to the form q + x*p + g*p**3 + i*p**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3*sqrt(245)*-1 - (1 + sqrt(245)*-1)))**2.\nAnswer: 700*sqrt(5) + 24525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 8*f + 9. Let n be d(-2). Let u be 2\/n - 74443\/203. Round u to the nearest ten.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*o - 20 = 0, 5*j - 6*o + 12 = -3*o. Let k = -20\/3 + 7. What is the nearest to k in j, 2\/13, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + ((sqrt(91) - ((sqrt(91) - 4*2*sqrt(91)) + sqrt(91)))*4)\/(sqrt(49)\/(sqrt(35)\/sqrt(5)) + sqrt(28)*-4).\nAnswer: -4*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffafffffaafff. What is prob of picking 2 f?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 470450894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5115311 (base 8) to base 5\nAnswer: 321202340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 - 2*i**2 + 7*i**2 - 1730917*i**3.\nAnswer: -1730917*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37\/5 of a millimeter?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -0.01. Let v = 6.37 + -272.37. Let o = -268 - v. What is the fourth smallest value in o, -1\/7, 5, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i**3 - 38749*i + 19188*i + 19561*i.\nAnswer: -25*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -383 + 2297\/6. Which is the second biggest value? (a) 0.01 (b) h (c) -4\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 193 and 398241797.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 269287 - 1910*f - 269287 to p + t*f and give t.\nAnswer: -1910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1)*(m - m - 2*m) + 0*m + 4*m - 5*m - 184*m - 185*m + 360*m - 4 + m + 4 + (4 - 2 - 4)*(2*m - 4*m + m) as b*m + w and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0537 + -4.\nAnswer: -3.9463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08 + 0.06. Let v = k - 0.21. Let h = 365053 + -365057. Sort 3\/4, v, h in descending order.\nAnswer: 3\/4, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*k + 6. Let g be (k + 4 - 3\/2)*10. Let b = 26 - 17. Solve b = g*l - 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 272 and 59143?\nAnswer: 946288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4579 and 5704199.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 65 + -2?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 206332 and 63?\nAnswer: 1856988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8822.425 - -8830. What is w rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 16 = 4*j. Let t = -4 - j. Suppose t = -2*p + 8 - 2. Solve 0 = 5*q - 4*d + 3*d - 2, 3 = -p*q + 2*d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 464, 454, 444?\n\"Answer: -10*l + 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u - 15*u + 0*u.\nAnswer: -19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 241418?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*n = 50*n + 455 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 9:41 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -46\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7*u**2 - u - 4. Let t(p) = p. Let q(g) = r(g) - 2*t(g). What is the tens digit of q(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - 9120.88827307.\nAnswer: -9157.88827307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88*j**6 + 157*j**2 + 6*j wrt j.\nAnswer: 10560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -38*j - 3019. Determine c(-57).\nAnswer: -853","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/34828535 or 0?\nAnswer: 2\/34828535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -38216872 divided by -1?\nAnswer: 38216872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/2)\/(6\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1061 and 97?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83499\/8 + -10399. Which is smaller: 39 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 4.8 (c) 0.02 (d) 188 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 121982036503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aenq when four letters picked without replacement from {e: 2, y: 1, n: 2, q: 1, a: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1681, -7016, -12351, -17686, -23021, -28356?\nAnswer: -33691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*x + 5. Suppose 5*z = x + 17. What is the remainder when (22\/4)\/((-4)\/(-8)) is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 39. Let i(o) = 42*o + 3*o**2 + 34*o - f*o**3 - 78*o + 1. Give i(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-203)\/522*-3*6\/42\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39627 and 285566.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 19401*l**4 + l**2 - 9700*l**4 + 1 - 9706*l**4 + 17*l**3 as u*l**2 + h*l**4 + n*l + f + y*l**3 and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756)*-2 - -2*sqrt(1344))\/(-3*(sqrt(175) + -1*sqrt(175) - sqrt(175))*-6).\nAnswer: -2*sqrt(3)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 11 + -6)*(-4)\/(-10). Let z = -1.98 - 0.02. Sort -5, x, z in increasing order.\nAnswer: -5, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 66.82447ns?\nAnswer: 0.06682447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i + 4. Let g be f(-2). Let a(n) = n**3 + 2*n**2 - 9*n - 1. Let x be a(g). Solve 0 = x*w + 3 + 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 4. Let x = 14 + q. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -12\/29, 3\/2, -142, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h**2 - 3*h**2 + 2*h**2)*(13 + 8*h**3 - 13).\nAnswer: -64*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.6 - -12.6. What is the closest to -1\/3 in -0.2, v, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.6? (a) -5\/2 (b) 9 (c) -0.026 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10, 6, 2, -2, -6, -10?\n\"Answer: -4*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64.89 - -130.72. What is m rounded to 0 decimal places?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -402\/41?\nAnswer: -402\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/(-10) + (-2)\/5. Suppose 2*c - 3*d = 6 + 7, c - d - 5 = 0. Let n be (-2)\/(-6)*0\/c. Solve n*p = p - y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*b - b - 900 = 0, 3*h = -b + 671. Suppose 0 = -i + 5*i - h. Is 28 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - (5 - (-11 - -28)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/46, 0, 2\/5, -1, 0.1, 0.2 in ascending order.\nAnswer: -1, 0, 3\/46, 0.1, 0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 + 3*y - 6. Calculate k(3).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505619 is divided by 1913.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**5\/3 + 1764*w**4 + 1747916*w**3\/3 - 15868*w**2\/3 - 1744400*w + 3495856\/3 = 0.\nAnswer: -686, -637, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 102000001110 (base 3) in base 7?\nAnswer: 1561230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - a1?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21186*x**2 + 10619*x**2 + 10569*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-22)*u\/(u\/(u\/(u*u\/(u*u\/(u\/((u\/(u\/u**(-8\/9))*u)\/u)))))*u*u)*u*u\/(u\/(u\/u**(-6\/19))*u)*u**(1\/10) assuming u is positive.\nAnswer: u**(-40139\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31688882 or -31688879?\nAnswer: -31688882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-851)\/(-60) - 6\/(-15). Let t be (3\/(-18) - (-1253)\/(-168))*2. Let w = g + t. Is w > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 + 56 = 4*z. Suppose -9*o = -z + 1. Suppose -2*h - 2*l = -26, 26 = 5*h - o*l - 79. What is the least common multiple of 16 and h?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62924 * 1\nAnswer: 62924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*n - 3. Let b = -1 - -7. Let q = b + -6.3. What is the closest to n in 4, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, a: 3}. What is prob of picking 1 a and 3 r?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**3 + 8*l**2 + 5*l + 40. Let d be y(-11). What is the third derivative of 25*z**3 - d + 2475 + 245*z**2 + 115*z**3 + 2471 wrt z?\nAnswer: 840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (74*i - 27*i - 8*i)*(-2*i**2 + 5*i**2 - 4*i**2) + 3*i - i + 4*i**3 - 3*i**3 as n + p*i**2 + x*i + v*i**3 and give v.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11524 (base 8) to base 4\nAnswer: 1031110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 416\/6720 + (-12)\/90 - (-701)\/14?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21096\/17 or -1240?\nAnswer: -1240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17430\/41085)\/(1\/11).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(-16 - 308\/(-21)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -246 divided by -6\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.16, -7, -2\/5, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 129 - 221. Let l = s - -56. Let v = l + 58. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1837?\nAnswer: 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 2:56 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.019765831 * 5.\nAnswer: 0.098829155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 36.01092 months?\nAnswer: 0.00300091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138 + 290 - 131 - 7 + 3 + 2 + (4 - 3 + 1)*(-6 + 4 + 0))*(2*b**3 - 3*b**3 - b**3).\nAnswer: -30*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 20*s - 7. Let x(b) = 27*b - 6. Let o be (6 - 5)\/(1\/(-3)). Let f(n) = o*x(n) + 4*t(n). Give f(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/5))\/((n\/(n*n\/(n*n\/(n*n*n**(-3\/4))*n)*n))\/n) assuming n is positive.\nAnswer: n**(41\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7539607 = 101*g - 7531931 for g.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-27) + (-26)\/126. Let k = 888 + -892. What is the nearest to 0.07 in n, -3, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 4:09 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b - -10a7?\nAnswer: 106a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from geyeyygyyeg. Give prob of picking 1 y and 1 g.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 0*v + 2*v**2 - v**3 - 2*v - 3 - 2*v + 6*v. Let b be p(0). Is (-12)\/b + -1 + 16 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7224, 10340, 2 in descending order.\nAnswer: 10340, 2, -7224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**3 - 3 + 21*y - y**3 + 2*y**3 + 2*y**3 in the form s + j*y**3 + c*y**2 + w*y and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -20. Are -2 and c non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 9*p - 11*p. Let w = 17 - p. Solve 5*k + w = 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence moww when four letters picked without replacement from owmooooowooowwwwo.\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 8 - (1 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*k = -6. Let c be k\/(-2) + 95 + 1. Let u = c - 64. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 157 = -165. Solve -15*g - 34 = n*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 0*g**2 + 2*g**2)*(28326*g + 537 - 177 - 179 + 53692*g - 181).\nAnswer: 82018*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 3. Let q(y) = 1. Let w(n) = n + 1. Let t be w(-2). Determine t*x(g) - 2*q(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3189*u - 20 + 693*u - 473*u + 20 to the form g + k*u and give k.\nAnswer: -2969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1617923 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 9*l**2 - 22*l + 6. Let c be f(11). Let o(x) = -12*x**3 - 5*x**2 - 5. Let w(n) = 12*n**3 + 6*n**2 + 6. Calculate c*o(q) + 5*w(q).\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1503823, -162, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxi when three letters picked without replacement from iixi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((210\/49)\/5)\/(1\/(-7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.034910136822351 + -0.3.\nAnswer: -0.265089863177649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 11:27 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1455*c**2 + 1946*c**2 + 2823*c**2 + (0 + 2 + 0)*(-1 + 1 + 2*c**2) - c**2 - 2*c + 2*c + 2*c**2 - c**2 + c**2 + (-3*c - 2*c + 3*c)*(-c - c + 3*c).\nAnswer: 3317*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61524923?\nAnswer: 61524923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -p - 5. Suppose 583 = -p*w - 1093. Let l = 1002 + w. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (294\/(-1372))\/(18\/(-1596))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 1. Sort 1, -10, p in descending order.\nAnswer: p, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y + 37. Let o be x(6). What is the highest common factor of 52 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 2*y + 6312, 0 = 71*y - 67*y + 24. What is the highest common divisor of c and 2280?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t + 2*t + 13*t. Let a(z) = -29*z + 16. Let l(q) = 66*q - 36. Let m(h) = -18*a(h) - 8*l(h). Give 5*m(r) + 3*w(r).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5441 - 1213. Suppose -6*o = 8*o - z. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*u**3 - 49*u**3 - 92*u**3.\nAnswer: -162*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17826976 divided by -557093.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*q - 778 + 148 = 0 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 - 3*j**2 + 4*j + 7. Suppose 3*g = 5*q + 27, 8 = g - 4*q - 8. What are the prime factors of x(g)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*n - 11 = -3*y, 0 = -3*y - 2*n + 61. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31424 (base 5) in base 16?\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11003358 is divided by 2750816.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2826436295.\nAnswer: 5, 19, 29751961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3*c + 3 + 87 + 2 - 2*c - 365 + (2*c - 2*c + 2*c)*(-3 + 2 - 1) to z*c + o and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -21 + 421. Is a a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 2 + (6 - 3). Suppose 0 = 3*f - 5*j + 1, 3*j - i = 2*f - 3. Let v = -3 - -2. Which is greater: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 2. Let h be v(7). Let p = -6 - h. Let s(i) = -2*i. Let x(u) = -u**2. What is p*x(f) + s(f)?\nAnswer: f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a day in minutes?\nAnswer: 25560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 0*m**2 - 3*m**2 + 2*m**2 - m**2 to w + u*m + n*m**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57369, -57548, -57727, -57906?\nAnswer: -58085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000244 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.9 + 6. What is the nearest to -2\/7 in 2, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9999 - 5 - -6)*1580. Round o to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -907 - -911. Suppose 0 = g - 3*m + 3 + 9, -g - m + p = 0. Suppose 8\/7*a + g + 2\/7*a**4 + 4\/7*a**3 - 2*a**2 = 0. Calculate a.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -1)*(4 - 4). Let i = 2 + c. What is the third derivative of -g**6 - g**2 - g**i - 6*g**6 + 3*g**6 wrt g?\nAnswer: -480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41.33 + 42. Let q = 3.45 + -3.2. Let x = i - q. Is x at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + x**2 - 3*x**2 - 2*x**2 - 5*x**2 + x**2 + (-2 - 4 + 5)*(x**2 + 4*x**2 - 4*x**2))*(120*x - 52*x - 61*x).\nAnswer: -63*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -8*x + 16*x - 12 - 9*x. Let p be y(12). Which is greater: p or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 20, -5*v - 141 = 4*j - 235. Suppose -9 = a + 2*n, -a + 0*n - 18 = -n. Let o = 69 + a. What is the highest common divisor of o and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.4 + -4.6. Suppose -2*i = 4*i + 6. What is the fourth smallest value in v, -3, i, -3\/8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -21 and -6232961.4?\nAnswer: 6232940.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*x**2 + 85 - x**2 - 67 with respect to x.\nAnswer: 34*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 980*j + 53*j**2 - 980*j.\nAnswer: 53*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45322793*t*w**3 - 9078*w**3 + 6*w**2 + w + 12 wrt t.\nAnswer: -45322793*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 8:42 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b*b**(-6)*b*b)**9)**10 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 + 183*w**3 + 450*w**2 - 4536*w.\nAnswer: -3*w*(w - 63)*(w - 4)*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, a: 2, e: 1, v: 1}. What is prob of sequence eav?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 6:21 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 266 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8856264 and 25002?\nAnswer: 2778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*x = 5 + 9, -3*j = x - 15. Calculate the smallest common multiple of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*m**5 + 10*m + 67*m**5 + 5*m + 5*m wrt m.\nAnswer: 400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.8, 73, -2, -133, 3 in ascending order.\nAnswer: -133, -2, -1, 0.8, 3, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x = -4*k + 8, 5*k = 0. What is the first derivative of 11 + 12 + 27*w**x + 4 wrt w?\nAnswer: 108*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2569, 5140, 7711, 10282, 12853, 15424?\nAnswer: 17995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 59 = 2*o - 341, -4*i = 4*o - 620. Let b = o - 149. Factor 4\/7 + 16\/7*x**2 + b*x + 6\/7*x**3.\nAnswer: 2*(x + 1)**2*(3*x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -2*y**5\/15 + 4559*y**2. Let s(x) = 74*x. What is s(i(a))?\nAnswer: -592*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/3 (b) 0.02 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18430 and 4365.\nAnswer: 165870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2810 by 5.\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + g - g + (8 - 6 + 6)*(5*g - g - 2*g).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(2 + 2*l - 2) + l + l + l - l + 1 - 1 + 92*l - 8697 + 8697 + (2 + 2 - 2)*(2*l - 3*l + 0*l).\nAnswer: 94*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.2 = 21108\/725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5455035923.129745 + 5455022003. Let v = h - -13929.93. Let o = v + -9.8. What is o rounded to five decimal places?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -5 + (5 - 2) - -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*l + 5*l + 8*l + (0*l + 0*l - 4*l)*(4 + 1 + 6).\nAnswer: -56*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, w: 5, s: 6}. What is prob of sequence wnsw?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 4*s + 24325, -4*x - 5*s = x - 24330. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkt when three letters picked without replacement from kkkokttookokk?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1300) - (3 + sqrt(1300))) - 1*2*sqrt(1300))**2.\nAnswer: 200*sqrt(13) + 5225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*i - 179945 = 163907. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1367\/(-6) - 2 - 4\/24. Let q be 2 - (k\/(5 - 0) - -5). Calculate the highest common factor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -204*n + 208*n + 428. Is n < -107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 1\/60*h**5 - 2*h**2 + 0*h**4 + 58*h + 0 + 0*h**3. Let c(p) = 95*p**2. Give c(w(a)).\nAnswer: 95*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) -4 (b) -3\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1.3, 0.02968, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 24*k - 94. What is the remainder when q(9) is divided by 63?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*s + g + 6, 2*s - 3*g = 6. Let l(m) = -m**2 - m + 4. Let i be l(s). Let o(u) = 2*u - 2. Determine o(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/82123 + 10758269\/6405594. Let f = -100507\/14 + 7185. Calculate the common denominator of n and f.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -63142.151205 and -113.\nAnswer: -63255.151205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -33. Solve -a + u = -0*m - 2*m, 5*m + 16 = -2*a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -770.85 + 770.8500039781. What is h rounded to seven dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -149154 + 149151.99957. Let n = 2 + p. What is n rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*k**4 - 4 - k**4 - 3*k**4 - 11*k with respect to k.\nAnswer: 24*k**3 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 6*c**2 + c - 7. Suppose -5*p = y + 7 + 17, 2*p = -3*y - 7. Let i(h) = -h - 9. Let l be i(p). List the prime factors of t(l).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 552 = 4*c + 4*t, c + 4*t = 98 + 55. Are 133 and c non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 (base 6) to base 9\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-180)*-6*-6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -89, -339, -2, -4, -12 in descending order.\nAnswer: 1, -2, -4, -12, -89, -339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 - -127. Calculate the remainder when y is divided by -1*(20 - -2)*2\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2196.039 - -2197. Let s = 0.039 + u. What is the nearest to s in -0.02, -5, -0.5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 82, -4, -3, -9\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 25, 2*j + 42 = -5*p - 53. Let l be 3\/(-21) - 180\/j. Solve 11 = -l*i - 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125703 is divided by 5708.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*u**4 - 9720*u**3 - 165549*u**2 + 1080828*u + 26460 = 0 for u.\nAnswer: -42, -1\/41, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 11:10 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 - 5*a**2 - 6*a + 24. Does 7 divide c(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 7.9551\nAnswer: -16.9551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91375\/2125)\/(1\/(-1)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0615+0.2\nAnswer: 0.2615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 6082*d + 66778. Give q(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*x - 30 = 0, -t = -0*t + 2*x + 7. What is the units digit of (6 - t)*(0 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 88*i. Let f(r) be the first derivative of -r**5\/30 - 201*r**2\/2 - 327. Let m(x) be the second derivative of f(x). What is v(m(h))?\nAnswer: -176*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from mhmmmhmmeeyeyh.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s + 4 + 12*s - 2*s**2 + 0*s**3 - 12*s + 6*s**3. Does 20 divide z(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 less than -8036\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 263.126.\nAnswer: -268.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((-1 - -2)\/2) - -1. Sort -0.1, 1, i in decreasing order.\nAnswer: 1, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 - 21*u + 13. Let r be w(8). Suppose -183 = 5*n - 0*n - 2*i, 0 = -3*i + 12. Let c = r - n. Does 26 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 10993845.\nAnswer: 10993845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5218973?\nAnswer: 101, 51673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 340247 and -152.\nAnswer: 340095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 5*l + 3. What is u(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z**2 + 2*z**2 + 0*z**2)*(35 - 111 + 34) + 3*z**2 + 0*z**2 - z**2 in the form c*z**2 + p*z + m and give c.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-28)*m\/(m\/(m\/((((m\/m**(25\/6))\/m)\/m)\/m))*m))\/(m**(1\/8))**(2\/13) assuming m is positive.\nAnswer: m**(-3253\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1169*f**3 - 1368*f**3 + 2493*f**3.\nAnswer: -44*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**2\/9 - 8804*o\/3 + 23002640\/9 = 0.\nAnswer: -14026, 820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cucjzz. What is prob of sequence uczj?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7973\/10 (b) 2\/9 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5631, -6338, -7045, -7752, -8459, -9166?\n\"Answer: -707*a - 4924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 148460*o**4 + 2*o**2 - 1313964 wrt o?\nAnswer: 593840*o**3 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o + 50 = 2 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1394.271 from -19.7.\nAnswer: 1374.571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*r + 1150 = -59*r. What are the prime factors of r?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1913305, -3826609, -5739913, -7653217?\n\"Answer: -1913304*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42*24\/(2880\/140)*8\/4?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 (base 6) in base 4?\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*(s\/s**(2\/9))\/s)**(-14) assuming s is positive.\nAnswer: s**(532\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (3 - 18 - -10)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -648*c + 3887. Determine p(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01551364 to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**4 + 9*a**4 + 2*a**4 + (0*a**2 + a**2 - 3*a**2)*(0*a**2 + a**2 + 2*a**2) + 2*a**4 + 2*a**4 - 6*a**4.\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 2058*v + 2057*v = 0, -18 = 3*v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 - 58. What is the nearest to 1\/2 in -2, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -21\/9335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzt when three letters picked without replacement from {z: 1, p: 1, m: 1, t: 1, y: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -7. Let p be (-21 - -27) + -4*1. Suppose -b - p*b + o = 11, 0 = -2*b + o - 9. Put s, 5, b in descending order.\nAnswer: s, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 896 - 625. What is the units digit of (-20)\/(-40)*(u + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (132 - 132 + 103*i)*(-1 - 1 - 2)*(6 - 7*i - 6).\nAnswer: 2884*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.7 - 0.3. Suppose 4*n - r - 8 = 0, -2*n + 4*n + 6 = 3*r. What is the second smallest value in 5, f, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 5796.27 to the nearest 10.\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (3 + -3)) + 9. Let c = k + 4. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -148\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**2*u**3*z + 12818*p**2*u**3 - 3*p**2*u**2*z + p**2*u**2 + 456*p*u**2*z - p + 2*u wrt u.\nAnswer: -12*p**2*z + 76908*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8239713 = 122*o + 8249717 for o.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -61*c**4\/12 + 18*c. Let o(l) = -l. What is b(o(w))?\nAnswer: -61*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b. Let w(d) = d**2 + 3*d - 7. Suppose 19*j - 819 = -781. Determine j*x(n) + w(n).\nAnswer: n**2 + n - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18787 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12173 + 8?\nAnswer: -12165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-2) + 414\/(-216).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*h**3*w**5 - 87912*h**3*w**3 + 204*h**3 - 1452*w wrt w?\nAnswer: 180*h**3*w**3 - 527472*h**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/3 - 934*a**2\/3 + 15571*a\/3 + 5502.\nAnswer: (a - 917)*(a - 18)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -16138.885 less than -3613406?\nAnswer: -3597267.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -508 + 582. Calculate the remainder when m is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c0 + -2600?\nAnswer: -2420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*t - 12*t + 161 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71112*q**5*x - 148*q**4*x - 29*q*x + 774972*x wrt q.\nAnswer: 1422240*q**3*x - 1776*q**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1037382.1 and -50331670?\nAnswer: 49294287.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (442\/(-1))\/(-6 + (-22)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/119 - 41750\/(-11356).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2874112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22652, 45305, 67958?\nAnswer: 90611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -20*u**2. Let n be (4 + 104\/(-24))*-3. Let x(v) = -v - 5. Let w(g) = 1. Let z(f) = n*x(f) + 5*w(f). Determine z(t(i)).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -103416?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9727 and 59924.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104422105 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.33 in 5\/166, -0.5, 2\/49?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/g**(-3\/10)))\/(g**(2\/45)\/g))\/(g\/((g*g\/g**(2\/7))\/g))**(-50))**(-10\/7) assuming g is positive.\nAnswer: g**(-9413\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27 + -1632?\nAnswer: -1660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*l - 173 = -852, 1365 = 2*z + l. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*g - 32*g + 23*g + 360*g + 307*g in the form m + x*g and give x.\nAnswer: 621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2)*(-24898)\/(-633).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -558, -2548, -6516, -12996, -22522, -35628, -52848, -74716?\n\"Answer: -89*x**3 - 455*x**2 - 2*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 3. Let k be b(-5). Let s be 8\/(2 + 2) + k. Solve c - s*c + 9 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 13*v - 15. Suppose -l - 2 + 4 = 0. Suppose 5*s - 80 = -5*f, 0*f + 35 = l*f + 5*s. Is 15 a factor of o(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52150 and 2250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*v - 70 = 0, -j - 17 = -3*j - v. Suppose o - 26 = -j. Suppose 10072 = o*s - 7*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 21*j + 44 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1900)*3 - sqrt(1900)) + -4 - sqrt(1900)) + (sqrt(1900) - (5*(-3 + sqrt(1900)) + sqrt(1900))) + 0)**2.\nAnswer: -880*sqrt(19) + 30521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgvkgk. Give prob of picking 2 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**6\/360 + 8*y**3\/3 + 2*y**2 + 238*y. Let j(r) be the second derivative of k(r). Determine j(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 247745092?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(1 - 4) - -4. Let t(n) = -3*n**2 + 4*n**2 - 7*n + 2*n + 2*n. Let r be t(g). Let f(b) = b**3 - b - 15. Calculate f(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*d + 180 = 169*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 275385 and 330?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72500 is divided by 71061?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -12*v. Let h = -24969 + 24973. Let p(f) be the third derivative of 0*f + 0*f**h + 9*f**2 + 0 + 0*f**3 - 1\/60*f**5. Determine i(p(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3*m - 161, -3*d + 2*m = 5*m + 246. Let v = -6 - d. What are the prime factors of v?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/3)\/2*(4 + -1). Solve -z - 4 + p = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53535*m - 3*x = 53540*m + 23, 2*m - 4*x = -4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 55, 5, -3, -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3a + -7917?\nAnswer: -7951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*f, -j + f = 759 - 1894. What is the highest common divisor of j and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 517*r**6\/10 - 1320*r**2 - 1267*r. Differentiate b(a) wrt a.\nAnswer: 6204*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5*q + 17 = 0, 11*q - 15*q = 4*c + 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 26*w - 23. Let v be c(25). Is (-84)\/(-35) - v\/5 - -7415 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -686.8417 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 988553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 205703793 to the nearest integer?\nAnswer: 14342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8298 is divided by 496.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 3*r**2 + 14*r + 9. Let t be v(7). Let j = -38 - t. Is 51 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 221 - 99. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**4\/6 + 2*p**3 + 9*p**2 - p - 2. Factor n(o).\nAnswer: 2*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03307*1\nAnswer: 0.03307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*u - 14, 3*u = -z - 1 - 4. Let v be -10 + 2\/z*2. Let r = 15 + v. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001024400088 rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - s + 25. Let y be l(-5). Let r(q) = -q + 4. Let o be r(0). Put y, 6, o in decreasing order.\nAnswer: 6, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16455 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -28, -34, -22, 14, 80, 182?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3645 and 2565.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(1536) + (sqrt(1536) + (sqrt(1536) - (2*sqrt(1536) + sqrt(1536))) - sqrt(1536)))\/(sqrt(588) + (sqrt(588) - -2*sqrt(588)))*-4)**2.\nAnswer: 79\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 2*l - 2. Let h be -3 + 330\/27 + (-2)\/9. Is n(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6932 and 264?\nAnswer: 457512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15.35 in 44, 1\/5, -3, 3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4*r = -1, -3*r = -2*q - 4 + 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2485 and 385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -2) + (-19 - (6 + (-16 - 9)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(720)*-1*3)**2.\nAnswer: 19440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 4 (c) -0.3 (d) 1\/8 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2 - 77*v - 197. Give s(30).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -322*j + 322*j + j**2. Let p(m) = -6*m. Calculate r(p(v)).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 165*v - 43*v + 43*v + 143*v + 4*v - 2*v - v + (1 + 2*v - 1)*(-2 + 3 - 2) to o*v + d and give o.\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0110596 and 2.\nAnswer: 2.0110596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*t + 9 - 21, 4*v + 5*t = 3. Let a = -0.1 + -0.9. What is the nearest to v in a, 0.4, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d**5 - 5*d**4 - 21*d**3 - 5*d**2 + 8*d - 5. Let k(q) = 20*q**5 - 12*q**4 - 52*q**3 - 12*q**2 + 20*q - 12. Let i(j) = 5*k(j) - 12*s(j). Factor i(w).\nAnswer: 4*w*(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -25. What is the second smallest value in 3\/2, j, 5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5169.\nAnswer: 3, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**9)**(10\/9) assuming s is positive.\nAnswer: s**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.1, 1\/14, 5, 84\/23?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1552825479 to the power of 1\/3, to the nearest integer?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(19) - (sqrt(19) + 2)) + sqrt(19) + sqrt(114)\/(2*sqrt(6) - sqrt(6)).\nAnswer: -10 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 131119001323+-0.04\nAnswer: 131119001322.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 582434 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -307299299 - -11061786197\/36. Let w = v - -27456. Calculate the common denominator of w and -17\/6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 16389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 25622, 52195, 79708, 108161?\n\"Answer: 470*s**2 + 25163*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**4\/24 + 5*n**3\/3 + 27*n**2. Calculate u(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**2 - v. Let a be j(-1). Let w = 8 - a. Solve -4*x = -x - 6, -6 = -5*p - w*x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + -0.3. Let j = -4 - -8. Which is the nearest to 1? (a) 2\/3 (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3963193 at least as big as -3963149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -0.74 (c) 2\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**4\/4 + 7*c**3\/3 + c**2 - 9*c - 4. Suppose 2*z = 7*z + 5*w - 10, 48 = 4*z - 4*w. What is the units digit of d(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2662*t = 3235*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - i + 2*h - 15 = 0, 0 = -4*i + 5*h + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78.2 + 9.8. Let h = -93 + j. What is the second smallest value in -0.3, h, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 1)*12\/(-4). Suppose g*f - 170 = -2*f. Let w(a) = -3*a**3 + 41*a**2 + 18*a + 9. Calculate the remainder when w(14) is divided by f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148358 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -141\/10 (b) 0.2 (c) 33 (d) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2. Let s be (3 + (-16)\/4)*-3. Let r(l) = 9*l + s*l + 4*l - 7*l. Calculate h(r(b)).\nAnswer: -81*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2680350 and 5896770.\nAnswer: 29483850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 8. Suppose -12*o = 35 - 66 - 65. Calculate i(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.2 - -20. Which is the nearest to -1? (a) 2\/11 (b) i (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 - 2*y + 5*y - y - 2. Let x be v(4). Suppose 140 = 4*j - 2*q, -x = -5*j + j - q. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 3*m**2 - 4*m + 3. Let v be q(-4). Suppose -4*j + 2*w = -2*w, -32 = -5*j - v*w. Is j - (-4)\/((-16)\/(-980)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (135\/6)\/(-3 + 15\/4). Suppose 4*d = 10*d + o. Suppose 5*k = -31 + 11. Which is bigger: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175587389 and 647.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/7)*(u*(u\/(u*u*u**(1\/9)\/u))\/u)\/u)\/(u**4)**(-4\/29) assuming u is positive.\nAnswer: u**(-1805\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3936 is divided by 155.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lccccrllccrlccrl. What is prob of sequence lr?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w**(2\/11)\/w)\/w)\/(w\/(w\/((w*w**(1\/24))\/w)*w)))\/(w**9*(w*w**(-4)\/w)\/w))**(-13) assuming w is positive.\nAnswer: w**(13247\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 567*y - 21. Let h be r(4). Suppose 0 = 32*i - 4921 - h. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -214*k**6 + 2*k**3 + 2*k**2 + 182 wrt k.\nAnswer: -25680*k**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - 2*f**4 + 0*f**2)*(4*f - 3*f + 2*f) + (2*f**3 - f + f)*(-15*f**2 + 15*f**2 - 45*f**2) + 0*f**5 - f**5 - f**5.\nAnswer: -98*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 3:25 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 3\/14*q**4 - 2\/35*q**5 + 0*q + 0*q**2 + 123 + 8\/21*q**3. Factor d(z).\nAnswer: -2*z**2*(z - 4)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46976 divided by 734\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 5:01 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 7:44 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -5. Let c(b) = -b - b - b**u - 1 + 2*b. Let z(d) be the third derivative of d**5\/12 + 2*d**3\/3 - d**2. Calculate -4*c(s) - z(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 2 + -4)*1.\nAnswer: -2 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 1:51 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 132\/22 + (-432)\/18\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 + 2*l + l**2 - 3 + 2*l. Let q be k(2). Solve 4 = -v - q for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75746, 303009, 681790, 1212095, 1893930?\nAnswer: 2727301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 0*g - 25 - 14*g - 6*g. Let l be 96\/168 + 38\/7. Let h(p) = -5*p - 6. What is l*t(z) - 25*h(z)?\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -9*a - 5*m + 853, -m = 4*a - 849. Calculate the remainder when a is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + g**2 + (2*g + 0*g - 4*g)*(g + 5*g - 4*g) + 2*g**2 - 10036*g + 10036*g - 54 to the form y*g + p*g**2 + j and give j.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*n + 5*n - 28 = 0, 0 = 4*w - 2*n - 112. Suppose 4*z = -0 + w. Suppose -4*d = -z*d + 60. What is the smallest common multiple of 2 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -4, 3\/5, -4\/5, -5, 1083 in descending order.\nAnswer: 1083, 21, 3\/5, -4\/5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4 + 23*y**3 - 10*y**2 - 264*y = 0. Calculate y.\nAnswer: -3, 0, 4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**2 - 4*q - 3. Let n(g) = g**2 + g - 1. Let s(m) = 2*n(m) + r(m). What is the tens digit of s(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = t + 82, -5*j + 3*t + 59 = -75. Let b = -23 + j. What is the greatest common factor of b and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-27)\/(-12) + 4\/16 - (-33)\/22. Suppose -2*r - 3*r = -15. Solve -c*u + a = -r, -3*u = 5*a - a - 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 3 = 0, 2*j = -u - 6 + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 9. Give x(-19).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.10574 and -8.1.\nAnswer: 0.856494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, -12, 4, -6, 1, -1 in ascending order.\nAnswer: -12, -6, -1, 1, 4, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 10 = 5*v, 0*h - v + 2 = -2*h. Suppose h = 5*s - 15, 4*s = 5*f - 4*f + 12. Sort f, -3, -4 in ascending order.\nAnswer: -4, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 489240 and 151.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 3 + 2)*(2 - 3 + 0) - 1 + 5 - 3)*(-3 + 3 - 4*m) to r*m + p and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 10*b + 70. Let s = 75 - b. Solve 5*w + 4 = -1, -s*k - 2*w - 27 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3\/2 - 503*z**2 - 3135*z\/2 + 54486 = 0. What is z?\nAnswer: -12, 9, 1009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21 * -1.1.\nAnswer: 23.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -51213 (base 8) to base 7\nAnswer: -115415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 23*h**2 - 15*h - 69. Does 10 divide d(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74*4\/(-96)*12*1)\/1?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 4, -2.\nAnswer: -2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -1951, -4, 0, 1 in decreasing order.\nAnswer: 1, 0, -4, -14, -1951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*m - 6. Let r(s) = -s**3 + 3*s**2 + 2*s - 2. Let v be r(m). Let f(b) = b**2 + 6*b + 7. Let i be f(-5). Solve v*g + 7 = 4*j + 3, 2 = i*g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n. Let y(g) = 382238*g**2. Determine y(w(j)).\nAnswer: 24463232*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**2 + 42*a**6 + 194*a**6 - 156*a - 30*a**5 + 27*a**5 - 57*a**6 + 65*a**6 wrt a.\nAnswer: 29280*a**3 - 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 2443910*k + 298634804405.\nAnswer: 5*(k - 244391)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 968673*h**2 - 2463412*h.\nAnswer: 1937346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -8\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2861*i - 5752. Give z(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 172*f - 148*f + 288 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9, -70, -5 in ascending order.\nAnswer: -70, -5, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -1)\/((-1)\/(-12)). Let c = y + 31. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4d (base 16) to base 2.\nAnswer: 1001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 196.7127 millimeters in micrometers?\nAnswer: 196712.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 - 64667127 + 64667127.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1351353 (base 7) to base 4\nAnswer: -230011323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 4)*(22897 - 22516 + 12813)*(0*z + 0*z - 2*z).\nAnswer: 52776*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 11.14. Let w = 1.8711 - y. Round w to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p = 4, n - 2*p + 4 = 0. Let i(q) = 13*q**2 - 9*q + 9. Let t(s) = -3*s**2 + 2*s - 2. Let g(d) = n*i(d) - 9*t(d). Let y(h) = 7*h**2. Give g(y(x)).\nAnswer: 49*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -12*m. Let j(d) = -479*d**2 + 934*d**2 - 496*d**2. Give j(i(n)).\nAnswer: -5904*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**4\/7 + 114*a**3\/7 + 36*a**2 - 456*a\/7 - 960\/7 = 0?\nAnswer: -2, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = f - 53, 0 = -6*g + 2*g - 2*f + 72. Let t = g + -19. Let y = -37\/120 + -7\/24. Which is greater: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 178*s + 177*s - 17 + 0*s + 40 - 11.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 227 - 224. Solve l*y + 25 = 4*d, 4*d + 13 = 8*d + y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 12*x**3 - x - 2527*x**2 + 2527*x**2.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*i**2 + 51*i**2 - 30*i**2 + 20*i**2 in the form f + b*i**2 + q*i and give b.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/20)\/((-24)\/60)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*v - 3*v**3 - 107*v + 185*v + 2*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, g: 7, s: 1}. Give prob of sequence gg.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -61428 (base 11) to base 6\nAnswer: -1531123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 42 - 43 - (-12)\/4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268542468 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*0*1\/(-2). Let s be h*(-3)\/((-9)\/(-3)). Let m be 3\/(-2) + 2 - (-49)\/14. Solve -5*j + p + 13 = s, 5*j = 5*p + 1 + m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 62253139 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1.09, -4, -3?\nAnswer: 1.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3591 - 3568. Solve 16 = j - m + g, -3*j - 11 = -m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 542206 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -1. Let r = -80 - -85. Suppose 5*y - r = 0, 3*d = -d - 5*y - 7. Which is the second smallest value? (a) d (b) s (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -8*d - 135. Let a = 51 + d. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00397 rounded to 4 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44455471?\nAnswer: 44455471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/3294 and -151\/3460986.\nAnswer: 633360438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p + 3. Let v(i) = i**3 + 3*i**2 - 5*i + 4. Let z be v(2). Let w = 7 - z. Let l(a) = a - 2. Determine w*l(d) - 4*u(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 13) in base 3?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n - 9. Let l(i) = -i - 2. Let g(q) = -9*l(q) + 2*z(q). Let j(f) = 3*f**2. Determine g(j(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -312\/341 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 179, 2, -5613, -4 in ascending order.\nAnswer: -5613, -5, -4, 2, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -181, -375, -569, -763, -957, -1151?\n\"Answer: -194*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -24 + -1 + -10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472 is divided by (-525)\/(-7) + (-7)\/1?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) -0.4 (c) -1\/7 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -19, -7, -3.\nAnswer: -19, -7, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11670 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 4*p**2 - 3*p + 5. Let b be l(5). Suppose t - 2*o = 3 - 11, 0 = 5*t + o - b. Calculate the remainder when 140\/t - (-6 - -10) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 8*s**3\/3 + s**2\/2 + 94. Determine f(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 5.18. Let o be (-11)\/9 + (-12 - (-14)\/2) - -6. Sort o, z, -3 in increasing order.\nAnswer: -3, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {i: 4, g: 16}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9607128 by -4.\nAnswer: 2401782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.4 - 4.412. Let y = -7.988 + n. Which is the second biggest value? (a) 0.4 (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4982 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9 - 407\/55)*(-8665)\/(-2).\nAnswer: 2, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**5\/35 - 2*f**4\/21 - 8*f**3\/21 + 16*f**2\/7 + 9*f - 3. Determine g so that k(g) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261*30\/((-1890)\/(-7))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -70672000 rounded to the nearest one million?\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-79 - -55) + 23 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/(-3))\/(3\/2673). Let i(y) = 28*y - 4158 + p. Let r(d) = d. Let s(k) = 2*k. Let v(w) = -7*r(w) + 3*s(w). Give v(i(u)).\nAnswer: -28*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -1215*z. Let t(j) = 3*j + 2*j - 7*j - 7*j + 8*j. Calculate t(n(k)).\nAnswer: 1215*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 25, 422, -8 in decreasing order.\nAnswer: 422, 25, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 690 + -421703.\nAnswer: -421013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + -1 - 774\/(-3). Let o = g + -168. What are the prime factors of o?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4\/7 (b) 2\/5 (c) -2\/19 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from {m: 1, g: 2, t: 2, q: 1, h: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 78, 83, 86, 87, 86, 83?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 1226*f - 6. Let l(a) = 245*a - 1. Calculate -16*l(b) + 3*n(b).\nAnswer: -242*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 10. Suppose -4*z + 20 = l, 8 = -z + 3*l - h*l. Solve t = -z*t - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (15 - -4) - (21\/(-1))\/(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -125*k**6\/12 + 1565*k**5\/6 - 2328*k**4 + 6912*k**3 + 60*k**2. Determine h so that m(h) = 0.\nAnswer: 1, 144\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = -35 + 56 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 9:07 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuueue. What is prob of sequence eu?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**3 + 14 - c**3 + 3*c**3 + 0*c**3 + c**3. Let a be (-4)\/(((-1)\/(-1))\/1). Let f(r) = -5. Determine a*x(i) - 11*f(i).\nAnswer: 4*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5\/6, -4, -54?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 13. Calculate the remainder when (-2)\/6 - (-248)\/y is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 0.3579803?\nAnswer: 0.7579803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6 = -2*k, 8*h + 3*k - 5 = 3*h. Find the second derivative of -2 - 2*m**h + 2 + 0*m - 5*m wrt m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2 - 5*u - 336 = 0. Calculate u.\nAnswer: -16, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 925 + -508. Let i = -297 + l. Find the second derivative of 13*q + 120*q**2 - i*q**2 + 3*q**3 wrt q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12497 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/36 and 97\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92869 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -1) + (-36 - -43).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 44 - (-30 + -19)) + -38\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1688 is divided by 127?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 38*h + 4. Let i(b) = 191*b + 20. What is -2*i(t) + 11*z(t)?\nAnswer: 36*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-555)\/50)\/(-37) + (-1)\/6\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3\/65, 0 in descending order.\nAnswer: 0, -3\/65, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 greater than or equal to 202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.76 - 0.24. Let l = g - -1.1. Which is the nearest to l? (a) -2 (b) 4\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2 + 2*m - 2. Let p(c) = c**2 + c - 1. Let u(a) = -2*p(a) + t(a). Let f(y) be the first derivative of -y**3\/3 + 3. Give f(u(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 22 = -4*y, 2*y - 8*q + 4 = -3*q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcc when three letters picked without replacement from dcccgdgggg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 69, 55, 23, -33, -119, -241?\nAnswer: -405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-19) - (-297)\/(-836). What is the closest to q in 0.05, 4, 3\/5, -7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 17*l**2 - 31.\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/120 and 97\/75060.\nAnswer: 150120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 175*l**3 + 4200 + 4422*l**2 + 29*l**3 - 424*l + 159*l**3 - 408*l - 8108*l = 0.\nAnswer: -14, 10\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (59*v - 81*v - 99*v)*(-2 - 3 + 6) + 22*v - 12*v + 14*v in the form o + h*v and give h.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 134*b**3 - 23 + 104 - 133*b**3 to s*b**2 + o*b**3 + c + g*b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 63714845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00193 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 221085*b**5 + 0*b + 5\/3*b**2 + 255*b**3 + 13005*b**4 + 0.\nAnswer: 5*b**2*(51*b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 122 and 5954?\nAnswer: 363194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 smaller than 88991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3104\/2603 - 48\/137. Let m = -793 + 795. Which is smaller: m or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67624380\/49 at most as big as 1380090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - 39. Solve -4*p - 3 = 5, -k*c + 3 = p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-293*q**2 + 156*q**2 - 218*q**2)*(4 - 4 + q) to the form b*q**3 + a*q**2 + y + d*q and give b.\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-150)\/990)\/((-5)\/3)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**6\/120 - 11*r**5\/60 + r**4\/24 + 3*r**3\/2 + r**2 + 18*r. Calculate the remainder when 118 is divided by o(11).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80714411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5)\/2)\/(10 - (-5480)\/(-544)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 141*r + 1 - 2*r**3 - 32*r - 2 + 182*r in the form u*r**3 + y + i*r**2 + v*r and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 324 * -3296.9.\nAnswer: -1068195.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565515 is divided by 565510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33402950 to the power of 1\/2, to the nearest integer?\nAnswer: 5780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsnvvvsnnvwvvn. What is prob of picking 3 v and 1 s?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 14\/10 - (-5550526)\/215. Let c = 1394105\/54 - a. Calculate the common denominator of c and -53\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/2)\/9*57826\/(-2991)\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -4. Let p(x) = -x**3 - 5*x**2 + x + 8. Let h be p(c). Suppose h*r = r + 114. Is 57 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*i - 9264 = -30999 for i.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 15*d**2 - 35*d - 17. Calculate f(17).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -22, 4\/9, -8, -0.1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1259293, -2518607, -3777921, -5037235?\n\"Answer: -1259314*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 25*j**3 + 2*j**2 - 1. What is the remainder when ((-6)\/(-18))\/((-8052)\/1611 + 5) is divided by q(1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 3*c**2 - 6*c + 10. Let p = 8 - 4. Let f be b(p). Suppose g - 389 = 5*m, 4*g = -f*m - 46 - 114. What is m rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -68*l**2 - 5*l - 12. Determine q(-2).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from lkflfllx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.046+110.32\nAnswer: 110.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26056834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -9*f + 13*f + 2*n, 2*f + 5*n = 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**3*v*(v*v\/v**(-9))\/v)\/(v**(-2\/17)\/((((v*v\/(v*(v*v\/(v**0*v)*v*v)\/v))\/v*v)\/v)\/v*v*v*v)))**(-42) assuming v is positive.\nAnswer: v**(-10080\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*z - 3*m - 1, -4*z - m - 1 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1832.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**5*t*(t**(1\/18)\/t)\/t)\/(((((t\/t**(-3\/5))\/t)\/t)\/t*t)\/(t**(-1\/39)*t*t)) assuming t is positive.\nAnswer: t**(8693\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {h: 1, j: 5, c: 1, v: 1, l: 1, m: 4}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32826 divided by 5471.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 5*k**2 + 2*k - 12. Calculate y(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -419 + 265. Let a = 353 + y. Suppose -261 - a = -5*c. Calculate the greatest common factor of c and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -57 - 43 - -92\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20931 or -20929?\nAnswer: -20929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3730 smaller than -3730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -561 - -615. Suppose 0 = p*i - 92 - 70. Put 1.4, 2\/15, -1, i in increasing order.\nAnswer: -1, 2\/15, 1.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/21)*q**23)\/((q\/q**(-1\/7))\/q*q*q**(1\/4)*q))**17 assuming q is positive.\nAnswer: q**(29495\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 2637618.\nAnswer: 10\/1318809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*9\/(-108)*-2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -dbe0b4 (base 15) to base 8.\nAnswer: -47755211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 126173, 252427, 378681, 504935, 631189?\n\"Answer: 126254*d - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2*(-4 - -2))\/1. Let x = 6 - -8. Suppose 22*i - 18*i = 43*i. Solve 3*o + 6 = 0, -d*r + i*r = -o + x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2111322607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 4*z + 6. Suppose -z*o = -8202642 - 381048. Suppose -o + 71630615 = 9*j. What is j rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**5\/20 - 7*n**4\/6 - 13*n**3\/6 - 17*n**2\/2 - 92*n - 1. Suppose -3*c = -2*g - 38, 5*c - 5 = 3*g + 54. What is q(g)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2443, 11168, 25709, 46066?\n\"Answer: 2908*j**2 + j - 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 94*b. Let c(v) = -1081*v + 1. Give r(c(g)).\nAnswer: -101614*g + 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3494*a - 6986*a + 3488*a - 3*a**4 + (-2*a**2 - 3*a**2 + 4*a**2)*(3*a**2 + 2*a**2 - 3*a**2).\nAnswer: -5*a**4 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/28*8589\/(-818)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-2) - 1*(-39)\/2. Suppose -n = j - 77. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5*s + 5 + 3*s)*(223 - 67 + 285).\nAnswer: -882*s + 3087","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 2:54 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 66\/(-275)*(-650)\/30 - (-1)\/(-5). Put r, 0, 9, 4, -3 in decreasing order.\nAnswer: 9, r, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220, 718, 1212, 1702?\nAnswer: 2188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 23694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 46, -0.5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -753*l**3*m - 49*l**3 + 9*l**2 - 18*l - m**2 - 183*m wrt m.\nAnswer: -753*l**3 - 2*m - 183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -95919 + 240723. Is (-1)\/((-55)\/p) - 1\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -3. Let l(t) = -5*t**3 + 6*t**3 + 3*t**2 - 2*t**3. Let p be l(c). Solve p = v - a + 4, -4*v = -6*v - a + 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*z + 12*z + 3*z**2 + 9*z**3 + 4*z to x*z**3 + p*z**2 + h*z + b and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 10:16 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 34 - 18 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3077.\nAnswer: 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3008 is divided by 165.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 26 - 21 = 0, 35 = -5*k - 2*o for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*p + 23*p + 10, 2*p + 14 = 2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, d: 2}. What is prob of sequence dd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2115, -4227, -6339, -8451, -10563?\n\"Answer: -2112*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 15. Let a be z(11). Suppose 0 = -a*w - 16, 0*w - 4*w = -5*x + 366. Suppose 2*u - 5*u = -42. What is the highest common divisor of u and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/5 - 4\/(-4). Suppose n = -8*y - 144 + 344. Calculate the lowest common multiple of 30 and y.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 + o - 1. Suppose -2*a - a = 9. Let n(p) = -6*p. Let x(s) = -5*s - 1. Let t(l) = 4*n(l) - 5*x(l). Let u be t(a). Give r(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83089\/161 + -906760587\/1757315. Let u = q - 7\/185. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/sqrt(4)*-3 + -4 + sqrt(2)*-2 - ((sqrt(22) + (sqrt(22) - sqrt(352)))\/sqrt(11) - (sqrt(98) + 0 + sqrt(98)))**2.\nAnswer: -516 - 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 + -53. Which is the biggest value? (a) -0.1 (b) 1\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 - ((-16 - -4) + 9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166.1594 minutes to milliseconds.\nAnswer: 9969564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*w + 280*w = -10. Which is the biggest value? (a) w (b) -19 (c) -2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-26) - (-3 - 90\/(-78)). Suppose i*u - 340 = -310. Solve -3*j = 2*j + u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2 = -5*o + 5*x, 0 = -5*o + 3*x + 5. Let t(r) = 43*r + 1. Is t(o) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26310905*j*y**3 + 876246*j*y**2 - 17*j wrt y?\nAnswer: 157865430*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 228687, 455892, 683097?\n\"Answer: 227205*p + 1482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(500) + 4.\nAnswer: 3 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 1:28 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**7\/84 + y**6\/60 + y**5\/20 - y**4\/12 - y**3\/12 + y**2\/4 - 2*y + 3. Let g(k) be the first derivative of o(k). Factor g(s).\nAnswer: -(s - 1)**3*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -807.6? (a) 0.4 (b) -1.2 (c) 0 (d) 11\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4919.4556 + 4952.455591. Let y = -54 + 21. Let w = y + k. What is w rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 314369 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7 - 4*f - 4 + 11 - f**2 + 5 + 2*f**3. Let b be a(1). Suppose -3\/4*y - 3\/8 - 3\/8*y**b = 0. What is y?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**2 + 19*z - 5. Let d(k) = 3*k**2 + 2*k. What is -2*d(y) + j(y)?\nAnswer: -2*y**2 + 15*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7799 and -3351710?\nAnswer: 3343911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*g - 75*g - 206 = 1565 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 104920?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 7*m**2 + 5*m + 7. Let j(q) = -q**2 - 8*q - 1. Let b be -7*((-4 - -3) + 2). Let o be j(b). Calculate d(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98*g**5 + 20*g**2 - 8214*g + 2 wrt g?\nAnswer: 1960*g**3 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -31005, -31003, -31009, -31029, -31069?\n\"Answer: -o**3 + 2*o**2 + 3*o - 31009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + i + 86, 3*x + 2*i - 80 = -x. Let l be -3 - (-3)\/(x\/16). Let r = 193\/12 + -49\/3. Is r less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 912 and 239628.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = b - 160980 + 160981, -1835 = -5*t - 205*b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1685 (base 12) to base 5\nAnswer: 41233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5}. What is prob of picking 2 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*p**3 + 2*p**2 - 6179*p + 19099.\nAnswer: -6*p**2 + 4*p - 6179","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -9*m**2 + 12*m. Let t(k) = 4*k**2 - 6*k. Let a(h) = -o(h) - 2*t(h). Let r(w) = 139*w + 6. Determine a(r(u)).\nAnswer: 19321*u**2 + 1668*u + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1160 + 442560?\nAnswer: 444050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*k**2 - 1 + 0 + 17*k**2)*(2 - 7 - 3*k**3 + 5*k**3).\nAnswer: 16*k**5 - 2*k**3 - 40*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**3 + 4*n**3 + n**3 - n + n + 3*n**3 + (-1 + 5 - 2)*(-n + n - 2*n**3) - 19*n**3 + 0*n**3 + 2*n**3 + (0 + 2 - 1)*(-4*n**3 + n**3 + n**3).\nAnswer: -18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1288, 4902, 10934, 19390, 30276, 43598?\n\"Answer: b**3 + 1203*b**2 - 2*b + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 280*g - 13692. Determine h(53).\nAnswer: 1148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 + 732\/(-24) + 1)*-10*8\/9?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 - -70. Let n be 4\/h - 188\/990. Let i(m) = m**2 - 2*m - 4. Let u be i(3). Which is bigger: u or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1763469731 to the power of 1\/2, to the nearest integer?\nAnswer: 41994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -213808, -427615, -641422, -855229?\n\"Answer: -213807*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6033180535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwxnscnzswn. Give prob of sequence wxs.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -634.72 or 1\/5?\nAnswer: -634.72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 4:36 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 3*o - 249, 0 = -j - 3*o - o + 97. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in sixty-seven quarters of a kilogram?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3458*x - 201104. Determine a(-58).\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1508228222, -1508228231, -1508228252, -1508228291, -1508228354, -1508228447?\nAnswer: -1508228576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1922970992 to the nearest integer?\nAnswer: 43852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.33 - -0.23. Which is the nearest to i? (a) -0.2 (b) 5 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.4248887 kilometers?\nAnswer: 424888.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 7 - 15 - 12 - 2*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-38)\/8 - 2\/8. Let m be 2\/4*(0 - 0). Which is the nearest to -2\/9? (a) m (b) -3\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d*j*n**3 - d*j*n - 3*d*j - 12*d*n**2 + 27*j*n**3 + 14*j + 2*n + 1 wrt n?\nAnswer: -18*d*j*n - 24*d + 162*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4965270 to the nearest integer?\nAnswer: 2228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6303961969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1025519?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -30*i**2 - i - 10. Is j(-1) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374386?\nAnswer: 2, 187193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -179*n - 883. Let j be w(-5). Solve -j = 4*l, 57*u - 2*l = 55*u + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v**2 + 3*v - 5. Let c be -6 - 9\/(-3) - (-6 - -1). Let w(f) = -6*f**2 - c*f - 7*f**2 - 5*f + 11. Determine -3*w(q) - 7*y(q).\nAnswer: -3*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90174, -90967, -91750, -92517, -93262, -93979, -94662, -95305?\nAnswer: -95902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8a907c (base 16) to base 11\nAnswer: 5142725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 98.55 - 53.49. Let c = 41 - o. Let i = c + -26.24. What is i rounded to 0 decimal places?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**4\/12 - 7*d**3\/2 + 51*d**2 + 50*d. Calculate the remainder when 107 is divided by x(-24).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237881 is divided by 271?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 104998107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 33, 51, 69, 87?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 11) to base 5.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 9:33 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 6. Let w(m) = -m**3 + 3*m**2 - 2*m - 1. Let i be w(3). Let q be b(i). Suppose 57 = 5*l - 2*u, l + 2*u - q = -4. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75311, -16, 0, 5, -5, -1 in increasing order.\nAnswer: -16, -5, -1, 0, 5, 75311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 + 3)*(3*a - 4*a - 2*a)*(2*a**3 + 38 - 4 - 2871958*a - 2*a**2 + 2871961*a) as h*a + y*a**3 + u*a**4 + q*a**2 + r and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: 130 divided by -217\nAnswer: -130\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1490975?\nAnswer: 5, 23, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 3*x**4\/2 + 2*x**3 + 171*x**2. Let k be h(0). Which is the closest to k? (a) 1\/3 (b) 2\/3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-14))**(-14))**(-45) assuming i is positive.\nAnswer: i**(-8820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -280\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 2:08 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 7*w - 7. Let v be a(4). Suppose v*f + 27 = -8. Let t(p) = -p - 3. Is t(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257 - 244 - 248 + 749 + 59*v**2.\nAnswer: 59*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 456412 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + sqrt(68) + 3 - (-6*(-1 + sqrt(68)) - (sqrt(68) + 0 + sqrt(68) + 5 - sqrt(68))))**2.\nAnswer: 32*sqrt(17) + 4353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4241110 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 84735806 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(110)\/(sqrt(10) + sqrt(10) + (sqrt(10)*2 - sqrt(10))) - sqrt(99)\/(sqrt(9) + sqrt(225)) - (sqrt(99) - (-5 + 0 + sqrt(99)))*6))*1.\nAnswer: -28 + sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 230*r - 130335*r**2 - 230*r.\nAnswer: -130335*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (23 - 30) + -53 + 0. Suppose 3*y - 143 = 2*l - 10, 0 = -2*l - 4. Let r = -102 + y. Which is greater: r or u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/13, -3\/4, 0.5, -0.2, -3 in descending order.\nAnswer: 0.5, 3\/13, -0.2, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 - 3. Let i be f - (3 - (0 + 2)). Let q = i + -58. Calculate the smallest common multiple of 5 and q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*x - 21*x - 34. Calculate the remainder when 369 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**4\/24 + 12*u**2. Let o(h) = -14*h**2 + 2*h. Let m(t) = -o(t) + 2*v(t). Let r(n) = n. Give r(m(b)).\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 50797 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 812149 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 9 - 209773*q + 5 + 1.\nAnswer: -209773*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27723143 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 6 = -4*i. Suppose -7*b + i*b + 16 = 0. Suppose b*j - s - 31 = -0*s, -j = 3*s + 2. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 15920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15 + ((-7380)\/105 - 32\/(-14))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3644, 3635, 3622, 3605, 3584, 3559, 3530?\nAnswer: 3497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 43 + 16*j - 27*j.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178363838?\nAnswer: 2, 2027, 43997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 5:34 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -4.4. Let p = 21495.5 + -21495. Which is the second smallest value? (a) -2\/3 (b) p (c) f (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6*i**2 - 2. Let g(h) = -6*h**2 + h - 2. Give -4*c(z) + 3*g(z).\nAnswer: 6*z**2 + 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -667a46 (base 15) to base 10.\nAnswer: -4885941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 6*v = 5*j + 13, -5*j - v + 3 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4215437 years in decades?\nAnswer: 0.04215437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 11. Suppose -5*v + 11 = -4*j, 10*v = 3*j + 9*v. Let z be j\/g - (8 - 8). What is the third biggest value in z, 22, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7.715498 centimeters?\nAnswer: 77154.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}