diff --git "a/data/dm_maths/full_data/11012_11255.jsonl" "b/data/dm_maths/full_data/11012_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11012_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: List the prime factors of 20795.\nAnswer: 5, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 40289310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -725410.6 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.036 + -16.036078048. What is j rounded to 7 decimal places?\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t. Let r(y) = y. Let w(s) = 2*r(s) + x(s). Let f(c) = 28*c**2 + 4*c. Determine f(w(v)).\nAnswer: 28*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*z**2 + 51*z**2 - 10*z**2 - z**5 + (6 - 3*z**2 - 6)*(-3*z**3 + 0*z**3 + 2*z**3).\nAnswer: 2*z**5 + 13*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 64877, 65059, 65363, 65789, 66337?\n\"Answer: 61*g**2 - g + 64817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 410 and 87590.\nAnswer: 3591190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 1\/(-2)*-12. Solve -7 = -k*b - 19 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) -0.4 (c) -10 (d) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q**3 - 11*q**2 + 6*q - 10. Let i(s) = 15*s**3 + 23*s**2 - 13*s + 21. Let k(y) = -6*i(y) - 13*n(y). Calculate k(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 368535*d**4 + d + 10488116.\nAnswer: 1474140*d**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 185\/280 + (-4)\/14. Let h = -3625\/7 - -518. What is the fourth biggest value in h, 5, g, 4\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58476493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 5*u + 4*u - 2. Suppose 2*q - 4*q = 4*t + 12, t = 5*q - 14. Calculate z(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -7*c + 2. Suppose c*s - 71 = 39. Calculate the least common multiple of s and 50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 175884044?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*x**2 + 17 + x - 17 - 3 + 3 - x**2 + (-1 + 1 + 2*x**2)*(5 + 3 - 6).\nAnswer: 12*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 20?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 22*m + 39. Calculate k(25).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**2\/7 - 368*s\/7 + 54514\/7 = 0?\nAnswer: -281, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 741685\/1140*(-2)\/231. Let x = 56\/627 - i. Let d = 2160 - 25883\/12. What is the common denominator of x and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289645.\nAnswer: 5, 53, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z**2 + 12*z + 263. Let c(a) = -12*a**2 - 27*a - 523. Determine -4*c(n) - 9*u(n).\nAnswer: -6*n**2 - 275","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f + 12*f + f**2 - f - 46. Let h be q(-19). Let v be 2\/(-7) + 906\/(-14). Does h = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(-10\/7)*r*r\/(r*(r\/(r*r**(-1\/3)))\/r)*r*r*r\/(r**(-2\/21)\/r) assuming r is positive.\nAnswer: r**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7089*x**2 + 6396*x?\nAnswer: 14178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -0.007 (c) -4\/7 (d) -98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/3)*n**(2\/3)\/n)**(25\/6))**(-2\/21) assuming n is positive.\nAnswer: n**(25\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1704, -1885, -2048, -2199, -2344, -2489?\n\"Answer: -n**3 + 15*n**2 - 219*n - 1499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, c: 6, d: 12}. What is prob of picking 1 d and 1 m?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 381763769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (126\/(-8))\/(17\/(-68))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u**5 - 4436*u**4\/5 + 14764*u**3\/5 + 45828*u**2\/5 - 5008*u\/5 - 1232 = 0 for u.\nAnswer: -77, -2, -1\/3, 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/180325 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 89153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 944 (base 11) to base 13.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 24781?\nAnswer: -24778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57741572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((77\/(-88))\/((-3)\/24))\/((-1)\/(-1))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11447 is divided by 69?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 2*z - 21. Let a = 5 - z. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**2\/2 + 2084196*n - 4168398 = 0 for n.\nAnswer: -1389466, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8678?\nAnswer: 2, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4*5*-2*(-1 + -3 + sqrt(363) + -5))**2.\nAnswer: -316800*sqrt(3) + 710400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7947\/243 - 7)*(-4)\/((-4)\/(-15)). What is the nearest to 0 in 2, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)*2 + (sqrt(2) - (1 + sqrt(2)))*6)**2 - (sqrt(2880) + 2*sqrt(2880))\/sqrt(10).\nAnswer: -84*sqrt(2) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.52837 micrometers in nanometers?\nAnswer: 17528.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/206668 and -94\/2541.\nAnswer: 620004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171628.\nAnswer: 2, 107, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 o when four letters picked without replacement from {o: 3, n: 11}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i + 7. Let v(m) = -39*m + 76. Let x(o) = 58*n(o) - 6*v(o). Calculate x(20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i + 46 = 2*x, 2*x - 64 = -3*i. Suppose -i + 6 = 4*y + 3*f, 3*f + 12 = 4*y. Suppose y = 3*z + 2*z - 10. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**5\/12 - 65*c**4\/24 + 25*c**3 + 277*c**2 + 3*c + 2. Let l(m) = 0. What is m?\nAnswer: -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21198245 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3)*p*p**(-6)*p*p*p*p)\/((p*p**3)\/p**(3\/7)) assuming p is positive.\nAnswer: p**(-82\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1. Let o be (-7 - -1 - -1) + z. Let q(v) = 5*v - 6. Let b(t) = -9*t + 11. Let m(s) = o*b(s) - 7*q(s). Determine m(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.048, 3, -6\/11?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 4*a**2 - 2*a + 3. Let z be k(-3). Suppose 2*w = -z*w + 42. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3388000 to the nearest one hundred thousand.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m - 9*m + 46 = -22*m for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 19*s = 35, -6 = -5*d - 2*s. Solve 4*i - 1 = -3*o, o = -d*i + 8 + 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -391936164 by 6.\nAnswer: -65322694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 89\/7. Sort 0.072, 3\/2, m in decreasing order.\nAnswer: 3\/2, 0.072, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1648273753 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2 = 5*l, 2*b - 11 + 9 = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 1\/4, -3\/10, -11, 1562 in ascending order.\nAnswer: -12, -11, -3\/10, 1\/4, 1562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -7 (b) -0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((69\/((-1656)\/(-32)))\/(-8))\/(3\/(-8)). Let 4\/9*s**4 - 2\/9*s + c - 8\/9*s**2 + 4\/9*s**3 - 2\/9*s**5 = 0. What is s?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, -10\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1358*g + 16034 = -34212 for g.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 629, -14, 51.\nAnswer: -14, 51, 629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m**2 - 11*m + 13. What is the units digit of z(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 233 + -161. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*d - 466 = -2809 - 1713 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 u when three letters picked without replacement from kkkukkukuuiukv?\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.2 (b) 2\/15 (c) -6.691103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 32 = 3*b. Calculate the least common multiple of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10005012 (base 8) in base 13?\nAnswer: -586951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-11)*z)\/z*z**11*z**(1\/7)\/(z\/(z\/z**(-18))) assuming z is positive.\nAnswer: z**(127\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (3\/17)\/((-9)\/12). Which is bigger: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5 = -3. Suppose -2*j = -4, 3*s - 2*j = -4*j - 11. Sort s, -4, y in increasing order.\nAnswer: s, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/255 and 47\/9?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 42, 29, 24, 33?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 854 and 2316902?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -854*u**3 + 6*u + 3564. Let p(l) = -854*l**3 + 8*l + 3565. Let y(v) = -4*h(v) + 3*p(v). Find the first derivative of y(q) wrt q.\nAnswer: 2562*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2025 divided by -2.\nAnswer: -2025\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49992 divided by -12498.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4820 + 4832. Are 2\/877 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 205058223 to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -347.58974 - -321.5894. Let j = p - -26. What is j rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/189802 and 73\/14104.\nAnswer: 31127528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1 + 2)*-4)\/((-27)\/1080) is divided by 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 7*t = 13, -t = -4*v - 584 + 637 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1698 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9556871+75\nAnswer: 9556946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pip when three letters picked without replacement from {p: 6, n: 6, i: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 182 and 185198?\nAnswer: 1296386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 576064999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-173)\/2*-2 - (-5)\/(-1) and 30?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 23 = 58. Calculate the remainder when 11 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -207*q**2 + 3*q + 2. Let i be f(-2). Let b = i + 21661\/26. What is the common denominator of b and -65\/18?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -480493455 + b - 24*b**3 + 480493455 - b.\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 596736169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -4*p - 0*y + 2*y, 7 = p + 3*y. Let v be 402\/16 - 2\/p. Let o = v - 25. Which is the closest to o? (a) -1\/5 (b) 0.8 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, o: 2, i: 1, l: 1}. What is prob of picking 1 l and 1 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19\/62 - -6\/31. Let t be ((-2)\/1)\/((-28)\/8 + 3). Let g = 0.8 + 0.2. Which is the third biggest value? (a) g (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 5:21 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -3e6?\nAnswer: 3e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*(-5 + sqrt(112)))**2.\nAnswer: -1080*sqrt(7) + 3529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 18. Let n = 9 + q. Let n*l**2 - 4*l - 2*l**2 + 4*l - 2*l = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 5*t - 6. Let w be z(-6). List the prime factors of (w - 2) + -2 + 67.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1171907945863 - 0.1\nAnswer: 1171907945862.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**4\/6 - 3*m**2 - m. Let g(q) = -q + 1. Let w(z) = c(z) + 4*g(z). Suppose w(n) = 0. What is n?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 5*b**2 + 6*b + 8. Let q be j(6). Suppose 0 = -k + q - 3. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (1 + 1)) + -2 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/3538 and 67\/164?\nAnswer: 290116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 11*y - 2. Let l(b) = 2086*b**2 - 2080*b**2 - 15 + 15. Give f(l(m)).\nAnswer: 66*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - 0.1. Suppose -3*z + 1 = 2*u + 2*u, 2*z - 16 = 5*u. Let p be u\/(-14)*(2 + -6). Which is the third smallest value? (a) p (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 3) to base 9.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*q**2 - 6*q - 13*q**2 + 2*q**5 wrt q.\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1096 divided by 483021\nAnswer: -1096\/483021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 662c5b (base 15) in base 7?\nAnswer: 56250620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19770650, -39541300, -59311950, -79082600, -98853250, -118623900?\nAnswer: -138394550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-3))\/(-1 - (-5)\/6). Let y be -1 - (b - -3) - -375. Is y*2\/4*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 7\/4 + 54\/(-8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38121*c - 38126*c = -5*l - 90, 0 = -11*c - 4*l - 147 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1763842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/816 and 58\/318835.\nAnswer: 15304080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-56))\/(522\/(-609))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 k when three letters picked without replacement from {k: 5, p: 1, g: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*r*s**3 + 75*r*s**2 - 7*s**5 - 2*s**2 wrt s?\nAnswer: 114*r - 420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(2\/12*(-55)\/((-440)\/(-96))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 10*d**2 + 97*d - 1. Determine q(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 524014 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1868 + -718. Suppose -3*b + w = 2*b. What is the greatest common divisor of 23 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 24 = -4*v - 4*k, -k = -4*v - 9. Suppose -9 = z - 2*g, 2*g - 4 = 4. Sort 1, z, v in increasing order.\nAnswer: v, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022306023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 190 + 5?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136 + -136.3. What is the closest to c in 0.3, 5, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 8*o - 20. Let c = 1024 + -714. Suppose 0 = -o*l - 54 + c. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*m**3\/5 + 554*m**2\/5 - 3312*m\/5 + 392.\nAnswer: 2*(m - 5)*(m + 98)*(3*m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/33 and -155\/4220508.\nAnswer: 46425588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -217509.2 rounded to the nearest 10?\nAnswer: -217510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4\/2 + 4*d**3 + 5*d**2 - 4*d - 9\/2 = 0. Calculate d.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1448 is divided by 365.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.9, 2\/111, 25\/2, -5 in ascending order.\nAnswer: -5, 2\/111, 1.9, 25\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3\/3 - 9436*l**2\/3 - 9442*l\/3 + 6292 = 0. Calculate l.\nAnswer: -2, 1, 4719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11992283.\nAnswer: 29, 413527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-10 - (-1 - 5 - -1) - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3609?\nAnswer: 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2754, 5792, 14338, 22884, 31430, 39976?\n\"Answer: 8546*i - 11300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.65 + -292.35. Let b = -238 - z. What is the biggest value in 1\/11, b, -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/4, 5\/2, 11683, 0.03?\nAnswer: 11683","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 + 134 = -4*r + 5*z, -4*r = z + 12. Let d(n) = n**3 + 3*n**2 - 2*n + 5. Determine d(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 229515 and 213037.\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 - 2.03. Let y = 279 + -280. What is the nearest to 2\/3 in i, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-8)\/(f\/f**(-1))*f**4*f*f*f\/(f\/((f*f**(-4))\/f))*(f**1\/f)**50\/((f*f\/(f*f*f\/(f*(f**7*f)\/f*f)))\/((f**5\/f)\/f)) assuming f is positive.\nAnswer: f**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1204 + 1202. Put m, -1, -17, 5 in ascending order.\nAnswer: -17, m, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3126 + 3151. Solve 0 = -445*v + 450*v + u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1356201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 + 245\/21 + -5)\/2. Put 4, i, -23, 1 in increasing order.\nAnswer: -23, i, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25de9e (base 16) to base 6.\nAnswer: -125105530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - -5)\/(1\/(-8)). Suppose -6*v + q = -2*v. What is the tens digit of 56 + (-1)\/(-2)*v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 13806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000096 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 39 - (1 - (-1 + 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p + 4*p**4 - 6*p**4 - 2*p**2 + 17*p**3 - 14*p**3 in the form h*p**2 + j*p**3 + w*p + a*p**4 + c and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 282964016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ollioiioliiioziolo. Give prob of picking 3 i and 1 l.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3, -1, 1, 5 in increasing order.\nAnswer: -13, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(1\/26)*k)*k**(-17)*k)**(-1\/25) assuming k is positive.\nAnswer: k**(417\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 3762 = 14*q + 4096, -5*a - 58 = 2*q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 x when three letters picked without replacement from {c: 2, w: 2, f: 1, d: 1, v: 1, x: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -13*c**2 + 54*c + 574. Let i be j(-10). Does -1266 = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 6. Let r be v(-3). Suppose r*j = -10*j. Solve -2*q - 10 = -j*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/39 and 8\/151929.\nAnswer: 1975077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*f**2 + 553*f**2 - 6*f**2 + 110*f**2 - 473*f**2.\nAnswer: 355*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.62 and -0.0197284.\nAnswer: -0.6397284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3046*c*k**2*p**2 + 2427*c*p**3 + c + k**3*p**3 - k**3*p - k*p wrt p.\nAnswer: 14562*c + 6*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 1230307769.\nAnswer: 7381846614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, w: 3, a: 1, j: 5}. What is prob of sequence jrrw?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 11:37 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24\/485 - -5721\/3880. Let i = 1344 - 8057\/6. Find the common denominator of i and r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 9*g - 76. Let j be o(11). Factor 384 - 288*p - 138*p**2 + 1213*p**4 - j*p**3 - 1216*p**4 + 68*p**3.\nAnswer: -3*(p - 8)**2*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 2:25 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8313, -8316, -8331, -8364, -8421?\n\"Answer: -z**3 + 4*z - 8316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6120566.32 to the nearest one thousand.\nAnswer: -6121000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2. Let r(d) = -2*d**2 + d - 8. Let b(q) = -r(q) - 3*v(q). Let k be b(-4). Let o(x) = -x**2 - 7*x - 6. Determine o(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5963486 is divided by 314.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1189946*k + 9784977 wrt k?\nAnswer: 1189946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22861.\nAnswer: 22861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2616.2385 to the nearest 10.\nAnswer: -2620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 13*c + 50. Let b be k(8). Calculate the highest common divisor of 320 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105152\/17 < 6186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 64285\/4278 - (13 - -2). Which is smaller: t or 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*t**5 + 2*t**4 - 14*t - 2*t**4 - 19*t**5 wrt t?\nAnswer: -520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*f - 191*f - 368 = 0. Put 0, f, -1 in ascending order.\nAnswer: -1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 456187695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c + 1425 = 3*r, 0 = 2*c - r - 570. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840855 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2 - 4*z - 19. Let a be v(-9). Suppose -8*c - a = 2539. Let g be 6\/(-4)*(-96)\/c. Is g != 5\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 254577504 and 418713.\nAnswer: 254577504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/((-18)\/3 + 4). Suppose -2*l + 15 = 3*l. Solve -3*x - l = -t*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 21*i**4 - 4*i**3 - 14*i**2 + 4. Let p(s) = 41*s**4 - 9*s**3 - 27*s**2 + 9. Let v(o) = -9*k(o) + 4*p(o). What is the third derivative of v(m) wrt m?\nAnswer: -600*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.03844 - -0.34204. Round c to two decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 t when four letters picked without replacement from hththt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*h - 12 = 0. Let v be (5\/h)\/((-11)\/66). Solve v*q - 33 = 4*j - 0, -q - 5 = 5*j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -45, -69, -97, -123, -141?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/5352480 and -61\/14050260?\nAnswer: 112402080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-46809)\/15078 + 12\/4 and 61\/12?\nAnswer: 4308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.04, 1, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 783 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 8, f: 2}. What is prob of sequence zzff?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w + 26. Let c be p(11). Suppose 7*n = c*n + 6. Solve -2*o - 4*q + 16 = 0, 3*o + n*q + 0*q = 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = -3*z + 4*k + 76, 0 = 10*z + k + 115 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857208 is divided by 7327?\nAnswer: 7276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12333 divided by 4111\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363 = 7*u + 141. Calculate the common denominator of 75\/10*-34*2\/u and -11\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (276*p + 4084 - 4084)*(p**4 + 6*p**3 - 6*p**3 + (-p + 0*p + 0*p)*(0*p + p + p)*(p + p**2 - p)).\nAnswer: -276*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p**2 + 0*p**3 + p**3 + 9*p - 6 - 3*p. Let k be 3*-4*(-4)\/(-8)*-2. Let l(a) = -26*a**2 + 15*a**2 + 2*a + k*a**2 - 1 - a. Calculate 6*l(u) - n(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83213\/191 + 1307\/3. Let p = 376\/1719 - h. Find r such that -2\/9*r**2 - p*r**3 + 0 + 0*r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-945)\/(-133) + -7 + 767\/(-247).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/3))**24)**(-26) assuming z is positive.\nAnswer: z**(-208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(((-8)\/(-62))\/(-4)). Let x = -62 - q. Solve x = 18*z - 16*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2 = -j + 2*b, 3*j + 3 = -5*b. Suppose 0 = 4*p - 6*p + j. Calculate the lowest common multiple of p and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-35 + 6 - 9)*(3 + 0 - 1) + 2 + 0 - 1)*(2*s + s - 2*s)*(2 + 3 - 2).\nAnswer: -225*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0168658591 to 4 decimal places.\nAnswer: -0.0169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 9*v - 16. Suppose 4*t + 5*f - 8 = 0, t - f - v*f = 2. Suppose 2*a - 88 = -t*k, 3*a - 3*k = 5*a - 91. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3371*l = -4083*l - 610*l - 120960 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25495 by -22.\nAnswer: 25495\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**5 + 2060*j**4 - 280300*j**3 + 3900500*j**2 - 19000000*j + 31250000.\nAnswer: -4*(j - 250)**2*(j - 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1590669, 3181338, 4772007?\nAnswer: 6362676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 22*n + 128. What is the remainder when r(19) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21777*h**3 + 185*h - 43546*h**3 - 4*h**2 + 21770*h**3 to f + a*h**2 + d*h + c*h**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -5*i + 38, -5*u - 3*i + 119905 = 119923 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1663499, -1663553, -1663637, -1663745, -1663871, -1664009, -1664153, -1664297?\nAnswer: -1664435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + n - 1. Let g be t(0). Let x be 10 + -4 - (-16)\/(48\/(-9)). Sort 21, x, g in descending order.\nAnswer: 21, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 6045.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*w = 6 + 4, 3*i + w = -10. What is the units digit of (0 - (-4)\/i) + 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o - 36. Let f be 52\/14 - o\/63. Let v(q) = -f*q - 8*q + q + q. Let d(p) = -2*p**2. Determine d(v(u)).\nAnswer: -200*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2*z + 7, -3*i + 12 = -i + 3*z. Let v(f) be the second derivative of 1\/4*f**i + 3\/20*f**5 - 3\/8*f**4 + 0 + 0*f**2 - f. Factor v(r).\nAnswer: 3*r*(r - 1)*(2*r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -210, -327, -454, -585, -714, -835, -942, -1029?\nAnswer: -1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15309 - 3533 - 102758 = 3040*g for g.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -355 + 357. Solve z = 9*o - 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a + 206*a**3 + 2*a + 22*a**2 + 8 - 208*a**3. Is o(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -85100?\nAnswer: 255300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*k = -43, 0 = -5*i - 3*k + 7*k + 63. Calculate the remainder when 108 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -1.486.\nAnswer: 0.2972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*z - 7 = -g, 25 = -5*z. What is the derivative of -8*j - 1 + 17*j - g*j wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (7 - 6))*6783\/(-29260) + 2\/(-8)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**0*x)**(-1\/2)\/(x**(-5\/3)\/x**(2\/5)))\/(x**(1\/10)*x*x\/(x**(-1\/6)*x)*x*x*x*x**(2\/15)*x**(-1\/13)) assuming x is positive.\nAnswer: x**(-127\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24\/252 - 2131646\/(-231)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 794000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 17, 3\/4, -4\/5, 7, -1\/49?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3516*f**2 + 5298?\nAnswer: 7032*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaj when three letters picked without replacement from axajaxxaj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 11:28 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 83*j**5\/30 - j**4\/24 + j**3\/6 - j**2. Is k(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 144*z**2 + 13*z - 14. Let b(p) = -3*p. What is r(b(f))?\nAnswer: 1296*f**2 - 39*f - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -586076 by 146519.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.19 and 12546.\nAnswer: -2383.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*15\/50*2. Let f(d) = -d + 3. What is f(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 4*b + 41. Let s = -35 - -89. Let p = s + 45. Calculate the remainder when p is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25251575 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -154457, -309281, -464103, -618923, -773741?\n\"Answer: u**2 - 154827*u + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-728)\/(-2431) - (52\/44 - 1)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -80, -110, -152, -200, -248, -290, -320?\n\"Answer: x**3 - 12*x**2 - x - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 3)*(-3*h + 0*h - 4*h) + (1 + 0 + 0)*((3 + 2 + 1)*(-h + 3*h - h) - 3*h + 3*h - 2*h) in the form n + l*h and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10514311 to the power of 1\/3, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 6225 and 6146 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 1:15 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*k + 21, -5 + 2 = k - 2*m. What is the remainder when 36 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -142344?\nAnswer: 1\/71172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 327884505?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/9257832 and 73\/391176?\nAnswer: 27773496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 962 is divided by ((-91)\/(-14) + -7 - 0) + (-2292)\/(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 1.791.\nAnswer: 1.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1919490*a - 17. Let f be l(-5). Let s = -1997467 - f. What is s rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-86)*(300\/(-33))\/25.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77127.\nAnswer: 3, 47, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.58, 1, 9, 0, 2, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 217 + -83. Suppose 5*u - t + 39 = 0. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 0.7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*n - 49*n - 6. Let o(x) be the first derivative of -x**4\/4 + 7*x**3\/3 - 7*x**2\/2 - 4*x - 1. What is o(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(34\/(-1))\/2. Round t to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 1:59 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3901?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 - 148. Let a = -99.18 - z. Let j = a + 0.1799735. What is j rounded to 6 dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -220836, -220851, -220866, -220881, -220896?\nAnswer: -220911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -378 + 707. Suppose -3*o = -z - t, 4*o + 34 = 4*z + 478. Suppose o = -4*s + 733. What is s rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100091351.\nAnswer: 100091351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = u - 698. Let l = u - -510. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0274406 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -2120200333?\nAnswer: -2120200323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-72)\/(-15)*(-320)\/(-6). Suppose 0 = -195*y + 187*y + a. What is the highest common divisor of 800 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 - 455945*u - 455986*u - 455943*u + 1367874*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/35 (b) 1\/5 (c) 2 (d) 0 (e) -1\/3 (f) -3\/20\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (-268)\/(-130))\/(20\/(-150)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -11. Let t be 3\/2 + 1723\/c. Suppose 3*f + 230 = t. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42682 is divided by 10670?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + 0*a - 2*a)*(-3*a + 13 - 20 + 9) to h + p*a + q*a**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 4 = -3*x + 2, -5*g = 4*x + 23 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5 = -7*k - n, -2*n = -3*k + 1. Which is bigger: -1\/289 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 7, 15, 27, 43?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 - 2.9. Which is the closest to 3\/7? (a) q (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22242986 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4633.111 years in decades?\nAnswer: 463.3111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/5)\/x)**(-4\/7)*x**(-1\/2)*(x*(x**8\/x)\/x*x*x*x)\/x)**(-6\/19) assuming x is positive.\nAnswer: x**(-279\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*t = 45. Suppose 2*j + j - t = 0. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -513481, -1026968, -1540455?\nAnswer: -2053942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1097*w + 12728 - 28261 - 9240 = 22398 for w.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10964.25 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2072115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6274057 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -369.579155 rounded to the nearest 10?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 4. Let b be u(-5). Let y be b\/(-12) - 1\/(-4). Which is bigger: y or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 10:15 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -825 + 2683*a**3 - 831 + 726*a + 1656 - 988*a**3 wrt a.\nAnswer: 10170*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 8*g**2 - 3*g + 2. Suppose -5*x + 3*f = -15, 8*f + 9 = 3*x + 3*f. Let h be t(x). Is h >= 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3)**(4\/17) assuming i is positive.\nAnswer: i**(12\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -12*c**2 + 4*c**2 - 91*c + 36 + 20*c + 6*c**2. Let u be f(-36). Which is greater: -2\/573 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002487904 rounded to 6 decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2)*(-u + u + 4*u**3)*(3 + 1 - 1) to the form l*u + i*u**2 + h + j*u**3 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (35\/15)\/7*(-1082)\/57346\nAnswer: -1\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-10) - (47\/(-5))\/1. Let r be (3\/(-2))\/((-2)\/24). What is the highest common factor of r and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-15)\/(-5))\/((-45)\/(-6))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Let l(c) = 7*c**3 - 7*c + 5 - 2*c**2 + 2*c**u. Let h(k) = -8*k**3 - 5*k - 2 + k**3 + 4*k**3 + 3*k + 5*k. Calculate 5*h(d) + 2*l(d).\nAnswer: -d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*d**2*m**4 - 2*d**2*m**2 - 39*d**2*m*x + d*x + 7*m**4 + 13*m**3*x + 3*m**2*x wrt m.\nAnswer: -624*d**2*m + 168*m + 78*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55272, -110554, -165836, -221118, -276400?\nAnswer: -331682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2815 = 2817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 + 5*v. Let i(j) = -2*j**2 + 6*j. Let y(c) = -5*i(c) + 6*l(c). Let o(p) be the first derivative of -p**3\/3 + 40. Give y(o(s)).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((-12)\/20) + -2. Let h be -2*(-3 - (1 - k)). Let p(b) = 2*b**2 + 35*b + 18. Let n be p(-17). Solve -q + h = n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 + (1 - (1 - 0))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*f**4 - 22*f**3 + 10*f**2 + 1?\nAnswer: 144*f - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 855 and 55?\nAnswer: 9405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22949*k - 39680 = 22945*k. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-19)\/t*(t*t**(-3))\/t assuming t is positive.\nAnswer: t**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -223693\/21 - -31393\/3. Let y = -188 - p. What is the nearest to 2\/3 in y, 0.3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1221022004 (base 5) to base 2.\nAnswer: 1011000101111001101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 738388 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f = -20. Suppose 4*x - f = w, -7 = -3*w + x + 3. What is the first derivative of -7*g**4 - w*g - 2 + 4*g + 6*g**4 wrt g?\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46.02 + -42.4. Let g = 271.38 + q. Let r = 287.9 - g. Round r to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 15 - 4) + -18 + -8 + 9.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**6\/120 - g**5\/30 - g**4\/8 - g**3\/6 - 2*g**2. Suppose -a - 6 = -2*t, -9 = -3*t - 3*a + 8*a. What is c(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -102 - -916\/9. Let d(i) = i**2 + 2*i - 1. Let w be d(-3). Let t be ((-26)\/(-104))\/((-7)\/16). Sort w, t, o in ascending order.\nAnswer: t, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 3*q = -3*q + 5*a - 16, 242*a + 12 = -3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1567306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 + 12*b**2 + 325*b - 55. What is j(16)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -2 (b) -0.2 (c) 0.2 (d) -6883\/2 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddd. What is prob of picking 4 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 275, 452, 629, 806?\nAnswer: 983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -663.14672153 - 13.85390947. Let j = k + 677. What is j rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 806309 = 3*s, -3*s - 2*v + 654809 = -151524. What is s rounded to the nearest 10000?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 27*f**2 + 7*f. Give m(-27).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -141*p - 17. Let i be w(-6). Let g = 730 + i. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 3*i + 250 = 0. Calculate the least common multiple of 22 and i.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 6 + 3 - 10. What is the nearest to 0.6 in 0, -0.4, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6903767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k + 9*k - 2*s - 4 = k, -18 = k + 4*s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 145, 57 in decreasing order.\nAnswer: 145, 57, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*g**3 + 5*a**3*g**2 + 13160*a**3*g + a**2*g - 58500*a*g**3 + 11*a*g**2 + 1 wrt a?\nAnswer: 12*g**3 + 30*g**2 + 78960*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 3. Let o be g(3). Let m be (-1 - o)\/(-1) - 0. List the prime factors of (12\/(-16))\/(m\/(-44)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7da1d6 (base 16) to base 3\nAnswer: -120111022010212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 + 23. Let c = n + 15. What is the smallest value in -2, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -434221 + -30?\nAnswer: -434301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5295695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/12 - 1545829\/(-1284). What is the highest common divisor of 476 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*i - 123 - 157. Let u = -1\/13 - -35\/117. Factor 2\/9*j**2 - 4\/9*j**3 + u*j**i + 0*j + 0.\nAnswer: 2*j**2*(j - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(272\/51 + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (2 + -1 + 11). Is (2 - u)*2\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**3 + 13*z**3 - 131*z**2 - 2*z - 7*z**3.\nAnswer: 13*z**3 - 131*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 19 + (2 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5*605\/(-2178).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.23? (a) -5 (b) 0.2 (c) 0.28 (d) -1\/7 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35 + 343522224?\nAnswer: 343522145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2373 + 2228. Let a be ((-338)\/8)\/(2\/(-8)). Let b = a + j. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.869995544 - 2.87. Round h to 7 dps.\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i = -21*i - 198. Let h = i + 64. Let v be 6\/(-14) + (-330)\/h + 1. Calculate the highest common divisor of 250 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 9 = -b, 7*b + 14 = 2*t + 3*b. Let w be 0 + (-3596)\/(-20) - t\/5. Suppose -u - 4*m = -0*u - 40, 3*m = 3*u - w. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.129693325 - -0.1297. What is n rounded to 7 dps?\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27820000 rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1a0b82 (base 15) to base 14\nAnswer: -250274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365*v**3 + 344*v**3 + 440*v**3 - 1255*v**3.\nAnswer: -106*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**2. Let a(x) = -13520*x + 2. What is a(q(m))?\nAnswer: 40560*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 4*w**2 - 2*w - 1. Let a be k(4). Let j be 1*9*(-3)\/a. Find the first derivative of 0*m**j + m**3 + 2 - 4 wrt m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 2*l + 2*l)*(-496*l - 49*l - 17*l)*(4 - 1 - 5).\nAnswer: -3372*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2634 + -0.4734. Is 171 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*s - 22 = 0, w + 2*s + 13 = 2. Which is the fourth smallest value? (a) 2 (b) -1\/3 (c) w (d) 14\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-3 - (11 - 4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*i - 9*i - 1387 = -13*i for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*u + 13936 = 2*u + 24*u. Solve y = i - 5, 4*i = 213*y - u*y + 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -161*i - 67*i - 3*i**2 + 19 - i**3 + 237*i. Calculate c(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165020873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1336177, 2672352, 4008527?\nAnswer: 5344702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 53381205 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10132 - 3?\nAnswer: 10123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59174487?\nAnswer: 3, 6574943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12503?\nAnswer: 12503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28*(-50)\/3675)\/((-20)\/(-15)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-2 - -5) - (1 + (8 - 13)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-136) - (-14)\/40.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1*sqrt(1377)*-3 - sqrt(1377))*-5)**2.\nAnswer: 900*sqrt(17) + 137725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8456 = -733*s + 22383 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2775 divided by 925\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 9:55 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7839, 62723, 211713, 501867, 980243?\n\"Answer: 7843*p**3 - 5*p**2 - 2*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 31801.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/17 (b) 2\/7 (c) 1 (d) -16610267\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 + 1)\/(-48)*6. Which is the biggest value? (a) -0.4 (b) 1\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -6 (b) -4 (c) 9 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80934 and 31038.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.03 and 184.\nAnswer: 183.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5))**1 assuming w is positive.\nAnswer: w**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-280)\/(-6)))\/(414\/483)*6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 87\/11, -1\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 - 2085*v + 300924.\nAnswer: (v - 1929)*(v - 156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 143.788 + -143.88. Put -0.5, -3\/7, 2, f in descending order.\nAnswer: 2, f, -3\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8790383 and 2938.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -17*d + 12. Let t be y(0). Suppose 0 = -t*m + 28*m - 1136. Calculate the remainder when 204 is divided by m.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51167971 is divided by 12791979.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9612 divided by 24921\nAnswer: 356\/923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -37, -0.2, -0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-3))\/((-2)\/(-12)). Suppose 0 = -u - 2*u - 468. Is 11 a factor of (y\/(-6))\/((-8)\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**4\/2 - w**3 - w**2\/2 + w + 22. Let f be y(-2). Does 5 divide (-2)\/7 + 149\/f + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 184, -122, -428, -734, -1040, -1346?\n\"Answer: -306*u + 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*a = 3*z - 147, -3*a + 5*z = -74. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 1981*b**2 + 69*b + 400. Is 10 a factor of a(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -1\/3*y**3 + 11\/2*y**2 - 13*y - 156. Give l(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0979 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-310)\/(-93)*(-18)\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53189 is divided by 59?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - ((sqrt(72) - (3 + sqrt(72))) + sqrt(72) + 1) - sqrt(72)) + -3*(sqrt(128) + 3))**2.\nAnswer: 420*sqrt(2) + 1849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 127*a - 3729. Determine r(-52).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2*3\/(-20))\/(8\/((-144)\/(-27))). What is the closest to -2\/5 in -228, 2\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3142 + 799 + a + 1539 + 804.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 15*p**2 + 48*p - 7. Let u be z(12). Calculate the greatest common factor of 77 and u.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 0 + 1\/48*r**4 + 0*r + 3*r**2 + 0*r**3 - 1\/120*r**5. Find x such that j(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-18)*3)\/(-4). Let c be (-320)\/(-56) + -6 + 0. What is the second biggest value in 0.2, m, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1846?\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -20*s**3 - s**2 - 2*s - 1. Let j(r) = -r**3 + 14*r**2 - 14*r + 12. Let p be j(13). Let u be i(p). Let o = 28 - 28. Solve o*n = 4*n + u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, w: 6, g: 6}. What is prob of picking 3 w?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y\/(y\/(y\/(y**5\/y)))))\/y*y)\/y**6)**(-3\/5) assuming y is positive.\nAnswer: y**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43891 - -189700. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2 (b) -7 (c) -1\/116\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 - d - 11. Let r be q(-2). What is the second derivative of -23*i**5 - 22*i**5 - i**5 - 3*i**r + 2*i**3 + 8*i - 5 wrt i?\nAnswer: -920*i**3 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -25 (b) 4 (c) -1\/3 (d) 22\/85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 7*n - 2*n - 20, -6 = -5*c + 2*n. Let h(k) = -k**2 - 2*k**2 + k - 3*k**2 - 1 + 7*k**c. Let z(u) = 4*u**2 + 4*u - 4. Give 6*h(o) - z(o).\nAnswer: 2*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 14) to base 15.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150607990?\nAnswer: 2, 5, 13, 1158523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -9 + 2*r**2 + 24\/5*r - 4\/15*r**3. Factor h(j).\nAnswer: -4*(j - 6)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12102201 + 3313010?\nAnswer: 22021211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 18 - 23 - 4 - 6.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -10. Let m(x) = x**3 + 3*x**2 - 2. Let v be m(z). Find the second derivative of 3*p**v + 6*p - p - 2*p wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6024\/311 or 20?\nAnswer: 6024\/311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 139152084.\nAnswer: 417456252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-12)*-7*16\/(-168)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (-11)\/528*-140. Put 2\/7, -3, 1\/2, u in descending order.\nAnswer: 1\/2, 2\/7, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 - 1)\/(6\/1044) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4.7, 0 in descending order.\nAnswer: 4.7, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (314 - 314 + 25*k)*(-k + 2*k + 0*k - k - k + 3*k + (-k + k - 7*k)*(5 - 3 - 1)).\nAnswer: -125*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m - 5*m + m + (-2 + 0 + 3)*(5 + m - 5) - 6*m - 48*m + 5*m.\nAnswer: -50*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*r - 61 = -169*r + 23 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 59.4045 millilitres?\nAnswer: 0.0594045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**3\/3 + 916*p**2\/3 + 1282*p\/3 - 55692 = 0.\nAnswer: -14, 13, 459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2205787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2772\/539)\/(2\/(-14)). Suppose 0 = 5*s - m - 441, -s = -6*s - 3*m + 437. Let n = s + w. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -213, -384, -631?\nAnswer: -954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 2*f**2 - 3*f + 12. Let a be u(5). Suppose -3*w + 50 = -2*p, 4*w - a = -2*p - 10. Solve -2*o - 2*o = w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 19*p**2. Let f(i) = -6*i. Let l(d) = -9*d. Let b(v) = 7*f(v) - 5*l(v). What is q(b(k))?\nAnswer: 171*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 1 = 2*a. Let m(w) = -8*w**2 - 7. Let q(c) = -9*c**2 - 5*c - 7. Let k(y) = -5*y**2 - 2*y - 4. Let f(i) = 5*k(i) - 2*q(i). What is a*m(t) + 7*f(t)?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3931.596434 rounded to zero decimal places?\nAnswer: -3932","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 9*i + 6 = 0, 106*p = 211*p - 106*p + 3*i + 6 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*d**3 + 1 - 1)*(0 - 1 + 5) + (-2 + 2 - 2*d)*(4*d - d**2 - 4*d))*(-67 - 72 - 128) to b + a*d**3 + i*d + o*d**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2603 divide 34893215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1382 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 139569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 258*m - 379*m - 597*m in the form r*m + j and give r.\nAnswer: -718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 3*w - 4, -3*u + 510 = -3*w + 531 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 176*o**2. Let i be k(1). Let g be 5 + i + (1 - 6). What is the highest common divisor of g and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 392 divide 216900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 66773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13806, -13879, -13952, -14025?\n\"Answer: -73*j - 13733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 - 4*o + 3. Suppose 0 = 2*q - s - 12, -3*s = -2*q + 5*q. Suppose q*h - 9 = h. List the prime factors of v(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 215 - 201. Suppose 2*t = v*t - 8700. 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: What is the cube root of 7621 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p**2 - 2*p + 2. Let i(a) = 3*a**2 + 2*a - 2. Let b(t) = 3*i(t) + 2*j(t). What is b(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 44.29689kg?\nAnswer: 0.04429689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27019204\/3 - 4\/3*z**2 + 20792\/3*z.\nAnswer: -4*(z - 2599)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 - 54*h**2 - 45*h - 303. Determine l(28).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -114334053 + 3?\nAnswer: -114334050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5365489?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 677126, 677119, 677112, 677105, 677098, 677091?\n\"Answer: -7*i + 677133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*l - 0*h - 54, 2 = h. What is the units digit of -28*(-1 - l\/28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/7 (b) -1 (c) 0.1 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*i + 58 = 56*i - 81. Let j(t) = -91*t**3 + 2*t**2 - t. What is j(i)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from qjjjjuujjjjq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7153 - 3225244.69.\nAnswer: -3232397.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 w when four letters picked without replacement from zpppwzwzwzz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*b - 29*b - 44 = 5 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 183, 187, 193, 201?\n\"Answer: d**2 + d + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*v - 4*r = 109*v - 218*v + 183, -207 = 5*v + 4*r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-105)\/(-63)*3*1)\/(187\/55*-10).\nAnswer: -5\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5822253.\nAnswer: 3, 191, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 167785248 and 78.\nAnswer: 2181208224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100379.\nAnswer: 100379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.51 (b) 4 (c) 2\/363\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 166 - 160. Suppose 2*n - q = 0, 2*w + 3*n - 5 = 3*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*44483\nAnswer: -177932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6, 0.5, 223?\nAnswer: 223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -497 + 521. Solve 8 - o = 8*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-24) + (-1702)\/2576. Which is the closest to l? (a) -1\/3 (b) 0.4 (c) 4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 9:45 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/(((-16)\/(-20))\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24617 divided by 650.\nAnswer: 24617\/650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 4:49 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 18*b**3 - 530*b**2 + 530*b**2 in the form g*b**2 + d + n*b**3 + h*b and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11632162543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**3 - 57910*p**2 + 32433405*p - 4657455000 = 0.\nAnswer: 291, 11000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + 12. Let g = p - 16. Solve g = 2*x + 3*d - 3, -4*x = -5*d + 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -3. Suppose 5*f + 12 = 4*r + 38, -r = -f + c. What is the second derivative of -l**2 - l**2 + 2*l + l**f wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -8\/105*o**5 - 1\/63*o**6 - 1\/21*o**2 - 1\/7*o**4 + 0*o - 8\/63*o**3 - 47. What is b in s(b) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k - 9*k**3 + 6*k - k + 0*k**3 as n*k**3 + o*k + l + p*k**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 9:26 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -60*b**5\/7 - 362*b**4 - 548*b**3\/7 + 1674*b**2\/7 - 36*b = 0. What is b?\nAnswer: -42, -1, 0, 1\/6, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8806*j - 5922 wrt j?\nAnswer: -8806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44838 > 44838?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 46483 and 46495 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -474*37922.7\nAnswer: -17975359.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (1 - 3) - -5. Let h be 4\/10*(-50)\/a. Let y(v) = -5*v**2 - 15*v. Let j(o) = o**2 + 3*o. Let l(r) = -11*j(r) - 2*y(r). Calculate l(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1328046 months in centuries?\nAnswer: 0.0001106705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 2*m - 220. What is a(0)?\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 + 0.04. Let t = -0.6 - u. Let j = -0.6 - t. Round j to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24214 (base 8) in base 10?\nAnswer: 10380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 789*r**5\/20 + 143*r**4\/2 + 729*r. What is the third derivative of y(m) wrt m?\nAnswer: 4734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75 or -5211?\nAnswer: -5211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 187110, 748501, 1684152, 2994063, 4678234, 6736665?\n\"Answer: 187130*j**2 + j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 = 5. Suppose -n - n - 4*h + 304 = 0, -608 = -l*n - 3*h. Suppose -20 = -4*y + n. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*b, 2*b - 10 - 140 - 118 = -2*a + 67*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w. Let m be r(3). Let c = m - 4. Sort c, 3, 11, 2 in descending order.\nAnswer: 11, 3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 36322.73ml?\nAnswer: 36.32273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 239, 460, 683, 908?\n\"Answer: l**2 + 218*l + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + -6*sqrt(108)*-2 - sqrt(108).\nAnswer: 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 287971199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 10*n**2 - 7*n + 1. Let m(w) = -9*w**2 + 6*w - 1. Let b(g) = 4*m(g) + 3*y(g). Let q(l) = -l**2 + l. Let p(z) = -2*b(z) + 11*q(z). What is p(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.6 - 17. Let d = -1 - -1.1. Which is the third biggest value? (a) s (b) -5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2543, 2, 1, -1, 0, -115, 10 in ascending order.\nAnswer: -2543, -115, -1, 0, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4)\/(i*(i\/i**(-4))\/i)*(i**3\/i*i*i*i)\/(i**(1\/4)\/i) assuming i is positive.\nAnswer: i**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g - 62. Let d(m) = -6*m. Determine d(t(o)).\nAnswer: -12*o + 372","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 203, -2\/179 in decreasing order.\nAnswer: 203, 1, -2\/179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2603, 2611, 2633, 2675, 2743, 2843?\nAnswer: 2981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/8 (b) -60 (c) -0.1 (d) -2\/87 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**4 - 77*o**3 - 90*o**2 + 74*o + 70. Let x(q) = q**4 - 76*q**3 - 84*q**2 + 74*q + 71. Let r(h) = 2*s(h) - 3*x(h). Let r(z) = 0. What is z?\nAnswer: -73, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95103445237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(10)\/sqrt(2)))\/((sqrt(72) - -3*sqrt(72)) + sqrt(72)) + ((1*(sqrt(192) + -1))**2 - (1*sqrt(12) + sqrt(12)\/sqrt(4)*5)).\nAnswer: -689*sqrt(3)\/30 + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 249 + -221. What is the derivative of y*h + 23*h - 17 - 42 + 17*h wrt h?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(288) + 2).\nAnswer: 8 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 6:01 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 18053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 2*q - 24 + 26*q**2 - 50*q**2 + 23*q**2 - 7*q. Let f be o(-6). Let d = 0 - 0.2. What is the smallest value in f, d, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77736 and 444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dw when two letters picked without replacement from wouvdddjjoud.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 76*d**2 + d + 1 - d - 2*d + 3 + 2*d**2 - 3 + (0 + 0 - 3*d**2)*(2 + 4 - 4).\nAnswer: 72*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxf when three letters picked without replacement from {x: 1, f: 17}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + l**2 - l + 1. Let y(v) = 3*v**3 - 12*v + 6. What is 4*r(o) - y(o)?\nAnswer: o**3 + 4*o**2 + 8*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 24\/11*l + 4\/11*l**5 - 53\/11*l**2 - 24\/11*l**4 + 53\/11*l**3 - 4\/11 = 0. What is l?\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 659704538 to the nearest integer?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 3783612.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/(-18))\/(2\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-26) + (-201)\/(-39). Factor -u - 2*u - 3*u**2 + 15*u**2 - k*u.\nAnswer: 4*u*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4, 3*m - m = 5*b + 172. What is the highest common divisor of m and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329.46*0.601.\nAnswer: 198.00546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 31 = -35. Let v(d) = 22*d**2 + d + 1. What is the remainder when v(-1) is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, f: 1, v: 5, y: 4, z: 1, h: 4}. What is prob of sequence vz?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3)**(7\/5))**(1\/48)\/(((m\/(m\/(m*(m*m*m**(-3)\/m*m)\/m*m)))\/m*m)**39)**(-2\/7) assuming m is positive.\nAnswer: m**(7\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12299246, -12299195, -12299144, -12299093, -12299042?\nAnswer: -12298991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -94*v**3 + 93*v**3 + 15*v**2 + 34 + 5*v - 21*v. Let n be h(14). Suppose i - n = 54. Calculate the greatest common divisor of 20 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**2\/2 - 2. Let f(u) be the second derivative of u**3\/2 - 12*u. Calculate f(y(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 22*o - 411. Let p be l(-34). Sort 26, -1, -4, p, 0 in increasing order.\nAnswer: -4, p, -1, 0, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 + k**4 + 6*k**3 + 0*k**4 - 6*k**3 wrt k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 1 - 4 = -5*c - 4, -2*n = c - 34 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -21978 divided by -21978\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 2122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.99 + 0.01. Let f = -3 + 2.5. Which is the second biggest value? (a) -2\/3 (b) f (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21665b5 (base 12) in base 11?\nAnswer: 3651763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**5\/9 - 2*z**4\/9 + 1684*z**3\/9 - 3200*z**2\/3 = 0?\nAnswer: -32, 0, 6, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 117 + 103 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 6:26 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 176 = -574. Suppose 0*f = -5*f - a. What is f rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1392960 is divided by 221?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-4)*(-4)\/16?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {j: 2, g: 4, y: 4, c: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9108 times -22837?\nAnswer: 207999396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 3, a: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*o + 16*o + 8*o)*((-o - 2*o + 2*o)*(-2 - 3 + 4) + 5 - 5 + 5*o)*(0 - 3 + 4*o - 5*o)*(3 + 10 - 4).\nAnswer: -810*o**3 - 2430*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9\/6 + 2\/12*-3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 7*c + 13. Let y be z(5). Suppose -y*p + 0 = 57. Let f = 45 - p. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*c + 32 = 0, 3*d + c - 5 = -0. Solve -6 + 24*h**2 - 10*h + 5*h - 15*h**d + 2*h + 0*h = 0 for h.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 20416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-12)\/2)*(-2)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2 + 1. Let v(u) = u + 6. Let z(y) = y + 13. Let p(x) = 7*v(x) - 3*z(x). Let j(t) = 5*t + 4. Give a*j(f) + 4*p(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 567 + 207 = 0. Let f = p - 88. What is the biggest value in 3, -2\/5, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + h - 6*h = -20, 5*h = 2*j + 20. Let a(x) = -x + 32. List the prime factors of a(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 276\nAnswer: -1380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 0 - 3 + 0. Let k be n(-5). Suppose u = -2*u - 3*d - 54885, 4*u = k*d - 73210. What is u rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 65*i.\nAnswer: i*(i + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*b**2 + 179*b**2 - 56*b**2 - 62*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0, -10, -0.3, -2, 241, 3, 0.09?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c (base 16) in base 12?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 142 and 639.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/9 - (498\/90 - 5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y - 54 = -2*m, -4*y - 3*m + 40 = -21 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, g: 1, b: 6, s: 4, e: 4}. What is prob of picking 1 b and 1 k?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 9*s**2. Let i be o(1). Suppose i = 3*n, 2*c + n + 23 = 6*n. Let d be (-66)\/4*c\/6. Calculate the greatest common divisor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/((-4554)\/92)*1095\/10.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 12*m = 3*m. Let k(t) be the third derivative of 1\/210*t**5 - 4\/21*t**3 + 6*t**2 + m - 1\/28*t**4 + 0*t. Factor k(r).\nAnswer: 2*(r - 4)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + -2 + sqrt(2)*-3*3 + sqrt(32)*1).\nAnswer: 15 + 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 55 = -2*z + l, 25 = 2*z + 5*l. Solve 4*y + 0*y + z = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23367 = x - 4*c - 5016, 0 = -4*x - 2*c + 113550. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 109131.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-3)\/3 - 2 - (165 + -178)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 57\/2 of a century?\nAnswer: 34200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29.249 - 31.34. Let h = p - -0.091. What is the nearest to h in 1, -1\/2, -0.02?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pz when two letters picked without replacement from {h: 2, s: 1, p: 1, z: 10}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1053*b**3 - 2184*b**3 + 1118*b**3.\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, f: 3}. Give prob of picking 3 d.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-9911)\/(-154))\/(-53) - 36\/(-21)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**20*w\/(((w**10*w*w)\/w)\/w) assuming w is positive.\nAnswer: w**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 360 and 4335?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95.99821 - 10331.\nAnswer: -10426.99821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 784 = 840*m - 5936 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -7*w**3\/3 - 28*w**2 + 25*w. Let m be n(-4). Solve m = -k - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-1\/3))**(-1\/15)*g**(2\/7)*(g\/g**(-1\/4))\/g)**(1\/46) assuming g is positive.\nAnswer: g**(479\/57960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -284*n*z**4 + 32*n*z**2 - 5*n + 353*z**5 + 53*z**2 wrt z?\nAnswer: -6816*n*z + 21180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (236\/177)\/(184\/(-6))?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 17. Which is the third biggest value? (a) 3\/8 (b) 0.2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*5*((-422)\/14981 - 846\/213)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Let q(w) be the third derivative of w**6\/120 - w**5\/60 - w**4\/12 + w**3\/6 + 41*w**2. Let l be q(g). Solve o - 4 + l = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108736)\/(-736) - 138) + 5*(-2)\/1?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 + 51*h**2 + 94*h + 3116. Calculate c(-26).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.33 rounded to 1 decimal place?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 268?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66659 and 4537.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2219\/89 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + n = 47 + 116, -5*n - 142 = -4*t. Suppose 24*h = t*h - 2367. List the prime factors of h.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -24?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*s - 8 = 0, 6*i - 2*s = i + 4. Let z = i - 2. Let m = -1 - z. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2, -4*s - 6*p = -p - 11. Suppose 2*x - 100 = 3*r, -2*x + s*r = 2*x - 208. Suppose -a = 3*a - x. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cuozuqtq. Give prob of picking 1 o and 1 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -654 = 164*u - 680 - 1248 - 3646 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.646.\nAnswer: 0.323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1134 and -91\/20250?\nAnswer: 141750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8953 and 70.\nAnswer: 89530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 + 967*q - 2*q**2 + 2*q**3 - 76125*q.\nAnswer: 2*q**3 - 75158*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 5*r - 2. Determine t(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1680 divided by 240?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23081600 to the power of 1\/2, to the nearest integer?\nAnswer: 4804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13 from -274.8.\nAnswer: -261.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxuxxuuxxxx. Give prob of picking 2 x.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-2))\/1*4. Suppose -5*r + 5 = -z. Suppose -5*d = -115 - 5. Solve -d = -4*g - 2*f, 2*g - r*f = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 21*x**2 - 53*x - 35. Let n be s(-18). Let a = 57 + n. Let c(y) = -4*y + 2. Let w(h) = -3*h + 1. What is a*c(i) - 5*w(i)?\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d + 12*d - 297 - 3000. What is the remainder when d is divided by 49?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*f**3 - 10*f**2 + 2944*f + 4738329 wrt f.\nAnswer: -69*f**2 - 20*f + 2944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -20871*l**2. Let q(k) = 6*k. Calculate q(d(c)).\nAnswer: -125226*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -2*a - 1\/5*a**6 + 0*a**4 + 0*a**3 + 0*a**5 - 5\/2*a**2 + 0. Differentiate z(d) wrt d.\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -45. Let s(n) = 2. Let k(d) = -q(d) - 20*s(d). Let z(h) = -4*h + 7. Let a(v) = -7*v + 13. Let u(g) = -3*a(g) + 5*z(g). Give -3*k(p) - 4*u(p).\nAnswer: -4*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -0.07 (c) 6 (d) 4 (e) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2131 > -2119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -64\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/((-36)\/(-28)) - 70. Let q be (9\/15)\/(2\/((-60)\/v)). Let i = 3 - -2. Which is the nearest to q? (a) i (b) -0.09 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 340744 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78375 and 2409.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 x, and 2 c when four letters picked without replacement from eexrrcjjjr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 100043043322?\nAnswer: -100043043331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -17*j + 1441. What is y(29)?\nAnswer: 948","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5730 and 11261742.\nAnswer: 56308710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 684145448?\nAnswer: -684145447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - 2*t**3 - 2*t**3 + (-t + 1 - 1)*(0*t**2 - 3*t**2 + 4*t**2) + 5*t**3 + 9*t**3 + 2*t**3 - 101*t**3 + 120*t**3 - 1 - 1.\nAnswer: 32*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = -521 - 519. Suppose m + s = 9*m. What is the least common multiple of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2607412 and 980?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 4*p + p**2)*(-p**3 - p**3 + p**3)*(-2 - 4 + 86).\nAnswer: -80*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8365 and 18403?\nAnswer: 92015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*4*sqrt(104)*-6)\/(-4*((sqrt(24) - 1*sqrt(24))\/sqrt(12) + sqrt(128)*-2)).\nAnswer: 9*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1060022 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 173\/1069 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(24)\/sqrt(3))\/(-2*(sqrt(20)\/sqrt(5) + sqrt(4))))**2*-1.\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9266.9 and -0.3.\nAnswer: 2780.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27781 is divided by 994?\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**4 + 180*h**3 - 1620*h**2.\nAnswer: -5*h**2*(h - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -121*y**2 - 46*y + 24884 wrt y?\nAnswer: -242*y - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 24*d - 19*d = 25, -w = d - 5. Which is the closest to w? (a) 1\/9 (b) 0.12 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14285, -264, 0 in decreasing order.\nAnswer: 14285, 0, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**5 + 34739*c**4 + 188*c**3 + 94262676*c**2 wrt c?\nAnswer: 120*c**2 + 833736*c + 1128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4 + sqrt(720) + 1 - sqrt(720)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z**(-8\/3)*z))\/z*z)\/(z\/z**(-11)*z)*(z\/(z\/(z*(z**9*z)\/z))*z)\/(z\/z**(-9\/5)) assuming z is positive.\nAnswer: z**(-17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 125 - -400?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/30 and -41\/33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l = 6 - 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.4 + 6.6. Let c = -44766 - -44764. What is the nearest to c in 0.4, 2, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55571 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 9:38 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -14*o - 4. Let u be p(-1). Let m = 14 - u. Determine i so that -3 - m*i + 24*i**2 + 6 - 3 = 0.\nAnswer: 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*j + 6 - 28. Suppose 3*r + 8 = f - 2*f, 0 = 2*r + 3*f + 3. Sort r, 0, j in descending order.\nAnswer: j, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4937142 divided by 98?\nAnswer: -50379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 22*w - 7.\nAnswer: 22*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11201011021 - 12?\nAnswer: -11201011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-15 + -6 + 18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -11.5. Which is the nearest to -1? (a) 3 (b) -0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1307270 + -326?\nAnswer: -1307616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -0.1. Let t = w + -0.05. Let m = t + 0.4. What is m rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 17073, 17244, 17465, 17736, 18057, 18428, 18849?\n\"Answer: 25*a**2 + 96*a + 16952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313 (base 4) to base 8.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215*c + 34987 + 58 = 0. What is the remainder when 2766 is divided by c?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*k**3 - 1\/2*k**2 + 1\/2 + 3\/4*k.\nAnswer: -(k - 1)*(k + 1)*(3*k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2958.875 - -2959. Let x = -95 - -101.125. Let u = v - x. Is u less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 8. Let l be 1\/(0 - (-2)\/o). Is 11 a factor of l\/5*(1 + -56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -220?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4372, -18192, -41226, -73474, -114936, -165612?\nAnswer: -225502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y. Let v be j(1). Suppose v*k = 2*k + 168. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**8\/6720 - c**7\/840 - c**6\/180 - c**5\/40 - 3*c**4\/4 + 7*c. Let p(q) be the third derivative of a(q). Give p(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 194 + -115. Let j = -105 + w. Let z = 25 + j. What is the smallest value in -0.5, z, 4\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86856 = 8*l - 25224. Find the second derivative of -11*j**2 - l*j**3 - 6*j**2 + 6*j + 14018*j**3 wrt j.\nAnswer: 48*j - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 951.066693 rounded to the nearest 10?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (2 - (5 - 6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*x**6 - 2*x**5 + 2*x**2 + 27*x.\nAnswer: -4800*x**3 - 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6118623960 to the nearest integer?\nAnswer: 1829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.41 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1459 - 542. Calculate the highest common divisor of n and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 27. Which is smaller: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 31*d**2 + 69*d + 323. Give j(-29).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 61, 71, 93, 127, 173?\n\"Answer: 6*h**2 - 8*h + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 297 - -26c1a?\nAnswer: 271b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14810 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18076685 to the power of 1\/2, to the nearest integer?\nAnswer: 4252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -19 - 35176555.1\nAnswer: -35176574.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 13.0639604?\nAnswer: -15.0639604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2962*r = 2884*r - 936 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -13 - -5) + 14 - 30.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 2.8. Let f = -4.242 - u. What is f rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79\/11 + -7. What is the third biggest value in 1\/2, w, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11378\/3*h + 1264 + 2*h**2 = 0 for h.\nAnswer: -1896, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*c - 6*c + 11*c)*(2 - 3 - 1) - c - c + 3*c + (-2*c - 2*c + 3*c)*(2 - 1 - 2) + 2 - 3*c - 2 in the form n + t*c and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.03 rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018556458011 rounded to 5 dps?\nAnswer: 0.01856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-8 + (-1 - -127) + -4)) + (-238 - -250)\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8861, -8854, -8833, -8792, -8725, -8626, -8489, -8308?\nAnswer: -8077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6877 and 299?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 6 = 3*n + 10 + 8, 0 = -4*w - 4*n + 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + c + 2 = q, 3*c = 2*q - 26. Suppose -5*a - 2*y + 7*y = q, 4*y - 14 = a. Let s = -2 + 5. Solve f - a*f = -s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188027?\nAnswer: 7, 26861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-14))\/(-5) + (3\/(-15))\/1.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 105805 + 105801 = 0, 4*b + 4*a = -12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 191, 5 in descending order.\nAnswer: 191, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 344580 and 6.\nAnswer: 344580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + 4*o**2 - 6*o**2)*(-2 + 1 + 3)*(-4 + 3 + 2).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 10:09 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*x + 20, 4*x - 3 = g + 19. Suppose -x*n = -5*n - 4. Suppose 81 = n*a - 55. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f - 5. Let t be u(-5). Solve -6*x + 8 = -3*x + s, t*x - 3*s = 32 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(108)\/sqrt(225))\/(-2*sqrt(4)*-4).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3625843532?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1846 * -0.6\nAnswer: -1107.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-1 - -2 - 0). Let m(u) = -3726*u - 134. Let n be m(-1). Let x be ((-3)\/((-3)\/n))\/(v\/50). Round x to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 31*z**2 - 11*z - 10*z + 27*z. Let j(p) = -2*p**2 + p. Let s(f) = -g(f) + 6*j(f). Let i(o) = -2*o. Give i(s(h)).\nAnswer: 86*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 705, 0, -2, -5, -11, -1, -4 in decreasing order.\nAnswer: 705, 0, -1, -2, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 9:34 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3510 = -4*u, 3*u + v + 1760 = 5*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 + 280*l**2 - 1168*l + 1184.\nAnswer: 4*(l - 2)**2*(l + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1756 + -1220. Let m = w + -533. Solve 2*b + 3*j + j = -14, 18 = -3*b - m*j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2017 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133, 25, -141, -353, -599, -867?\nAnswer: -1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 1 + 4 - 9*w.\nAnswer: -13*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20507737029 + 51781.\nAnswer: 20507788810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b1d (base 14) in base 15?\nAnswer: -16d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6)*216\/3. Let a be (1\/(-4))\/((-12)\/z). Put -5, a, -3 in increasing order.\nAnswer: -5, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 28*x + 38. Let y be d(-2). Let m be (1 - -115)\/(y\/13500). Round m to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**5 + 60*o**4 - 244*o**3 + 84*o**2 + 392*o = 0.\nAnswer: -1, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(396))**2*1 + -5 - (sqrt(275) + 5 + sqrt(99)\/(-4*sqrt(9)))) + -5.\nAnswer: -19*sqrt(11)\/4 + 9885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000036261 to seven decimal places.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1206*u - 616*u - 627*u + 518 = 0 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 6 + (9 - 3) + (-11 - -5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11658 by -6.\nAnswer: 1943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + (25 - 35) + 16?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b4 (base 14) to base 2.\nAnswer: 101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/226187 and 36\/17399.\nAnswer: 226187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8*p**3 - 5*p**2 + 6*p + 3. Let c be n(-5). Is c != 849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 6*m**2 + 3*m. Calculate g(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -845 and -7396361477?\nAnswer: 7396360632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 6215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66987 is divided by 16702?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1) + (2 - 2) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 + 2)*(2*k - 11*k - k) to z*k + b and give z.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*u**2 - 2 - 11 - 58 + 66 + 28*u**2.\nAnswer: -8*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 167353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1129 and 1546?\nAnswer: -1745434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/22 + 1989\/(-8019))*1*-3. Which is the second smallest value? (a) -0.4 (b) o (c) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*sqrt(1100) + sqrt(1100) + -2 - (sqrt(1100) - (sqrt(1100) + -1 + 1)))*3)**2.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -268011192 divided by 2\nAnswer: -134005596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (-1 + -36)) + 0. Suppose d - 27 = o. Let r = -532900 + 532908. Calculate the greatest common divisor of d and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 8:40 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -17270.\nAnswer: 17270.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*z, -4*x + 2*z = -z - 252. Suppose -x - 1419 = -11*u. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + 376. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -5923\/16?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5488800 rounded to the nearest 10000?\nAnswer: -5490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*f + 4*x = -45*f - 136, 0 = -4*f - 3*x + 316. Calculate the least common multiple of ((-28)\/21)\/(-4)*3 and f.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25439, 202904, 684601, 1622648, 3169163, 5476264, 8696069?\nAnswer: 12980696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 1. Let t be g(-1). Let u(k) = 14*k - 2. Let r be u(2). Suppose r = 5*s - t*s - f, -f - 10 = -s. Solve 2*z = s - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 19*b - 56. Suppose -41*d - b = -45*d. Suppose 1 = -h + 5*r + 28, -5*h - 5*r = -15. Sort h, -5, d in ascending order.\nAnswer: -5, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -12*u**2 + 2. Let d(k) = 764*k - 1171. What is d(q(o))?\nAnswer: -9168*o**2 + 357","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-5)*(-205)\/(-246). Let v = -1\/89 - -92\/267. Solve h - 5\/3*q**2 - 2\/3*q**5 - 8\/3*q + v*q**4 + 10\/3*q**3 = 0.\nAnswer: -2, -1, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -2\/39 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 341 - 337. Is 82018\/d*(-6 - (-40)\/5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -4332134?\nAnswer: 4332132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 297 (base 10) to base 13\nAnswer: 19b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 0.1\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/7 + 3810*h\/7 - 87408.\nAnswer: -(h - 3642)*(h - 168)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1854 - -1853.5. Sort f, -1\/8, 3.86.\nAnswer: f, -1\/8, 3.86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 2:57 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b + 3. Let t be (-5)\/1*(-1 - 0). Let i be q(t). Calculate the greatest common factor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5093345 to the power of 1\/2, to the nearest integer?\nAnswer: 2257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01919 and 0.028683.\nAnswer: -0.00055042677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/15)\/((-19251)\/(-85560))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -7*m - 21. What is the second biggest value in 0.1, 0.3, m, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = i - 6*k - 27, -29 = -i + 4*k. Suppose -6*w = -3*w - i. Suppose w*n - 27 = -41. Put 1, n, -9 in descending order.\nAnswer: 1, n, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2277 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z + 3\/8*z**2 - 27\/8 = 0. Calculate z.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00050247 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 17. Let o be ((-4)\/6)\/(3\/n). Suppose -3*v = -o*g + 194, 6*g - g + 3*v = 229. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 6:07 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.95 + -2.95. Which is the second smallest value? (a) -3 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 600007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + 2 - sqrt(11) - -2*(sqrt(275) - sqrt(11)) - (2*sqrt(66)*-2)\/(sqrt(6) + sqrt(42)\/sqrt(63)))**2*-6.\nAnswer: -14874 - 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0318 - -0.2318. Let x = 151 + -761\/5. Let j = 359\/40 - 43\/5. Which is the biggest value? (a) x (b) s (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -20*m**2. Let i(q) = 7*q**2 - 4*q + 4. Let o(y) = 14*y**2 - 9*y + 9. Let d(g) = 9*i(g) - 4*o(g). Determine 14*d(w) + 5*f(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 34*c. Let s(j) = -2*j + 27. What is w(s(m))?\nAnswer: -68*m + 918","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -699 - -770. Calculate the smallest common multiple of l and 5.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 4*s - 5 + 56 - 5 + 78.\nAnswer: -4*s + 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1287 divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3270\/(-205) + (20 - (-10 + 14)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 5*c**2 - 7*c - 8. Let n be y(-4). Suppose 5*i = s + 93 - 363, -4*s - n*i = -1008. What are the prime factors of s?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 6*x**2 + x - 1. Suppose 0 = -2*k + 8. Suppose -12 = k*o - 0. Let r be (7 - 1)\/(o - -2). Give h(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/11, -2\/21, -2\/7, 3, 0.043?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1306, 1316, 1326, 1336?\n\"Answer: 10*v + 1296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57.98 + -58. Let k = 0.1 + -0.5. Let o = 5.86 - 5.46. What is the nearest to q in o, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 17*t**3\/3 + 69. Let z(o) = 4*o. Calculate j(z(w)).\nAnswer: 272*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2916*w**4 - 1944*w**3 + 432*w**2 - 32*w = 0. What is w?\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 166414 to the power of 1\/2, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/5 - 43*u + 1326\/5.\nAnswer: -(u - 6)*(u + 221)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25.067 + -0.167. Let l = a - 24.8. What is the closest to l in -3\/8, -1\/2, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i + 1. Let g = 18 + -26. Calculate the remainder when z(g) is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1540\/25)\/7*-5. Sort 5, a, 1, -1 in decreasing order.\nAnswer: 5, 1, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 96?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132061 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 7*q**2 - 8*q - 18. What is j(7)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*o - 5*d, 7 = d + 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2763546361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1151176?\nAnswer: 2, 13, 11069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49857 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: Does -14 = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19988 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3953 is divided by 61?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -484 = -2*a - 42*a. Suppose 3*u - 5 = -2*u, -5*v = -3*u - 382. What is the greatest common divisor of a and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 0.05, -2\/179.\nAnswer: -2, -2\/179, 0.05, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/((-6)\/(-639)*-6). Suppose k*y = 64*y + 46571. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 23*v**2 - 23*v - 19. Let z be f(-22). Suppose -3*i + 7*i + z*n + 11 = 0, -4*i + 9 = -n. Solve 3 = -q - i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*z - 3*z - 4, -5*j + 4*z = 16. Solve -4*g + 2*f - 12 = -j, 2*f + 28 = -4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 450344487 to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b - 3*b + 5 - b + b**2 + 3*b. Let m be o(2). Suppose 3*h + 6 = -m*a, 4*a + 2 = -2*h + 4. Solve -5*g + 15 = -4*t, 4*g = 5*g - t - a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -752*v - 544. What is the tens digit of w(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-10))**(-1\/8) assuming c is positive.\nAnswer: c**(-11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.69 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 953553, 953550, 953547, 953544?\nAnswer: 953541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-20)*3*4\/(-6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -5\/181961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 237*s - 5447. Give z(23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/(-20))\/(14\/(-35)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.68 to the nearest integer.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybbyoyyyoybpyb. Give prob of picking 4 y.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-40))**(-30\/11) assuming y is positive.\nAnswer: y**(1200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, f: 3}. Give prob of picking 1 f and 3 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -3 - 2)*-2. Let y be (-15)\/(-130)*f\/3. Suppose -z = -2*z. Do z and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddm when three letters picked without replacement from mdmssvmmmmvvsm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 227580193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46046\/9867*(-18)\/4.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2 (b) 254 (c) 0.2 (d) 85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -82*w**3 + 862 - 862 + (-w**2 - 2 + 2)*(-w + 0 + 0) + 0 - 2*w**3 + 0 - 5*w**2 - 3*w**3 + 5*w**2.\nAnswer: -86*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -213 * -571.\nAnswer: 121623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59165.235ms to hours.\nAnswer: 0.0164347875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325110321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2685816547.\nAnswer: 241, 11144467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 + 35. Let t = 9 + m. Let v(o) = -o**2 - 6*o + 1. Let i(y) = -2*y**2 - 11*y + 2. Let x be 1 + 1 + 1*2. Determine t*v(a) + x*i(a).\nAnswer: -a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1225 - -1220. Which is the nearest to -0.1? (a) q (b) 2\/11 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 867902550 rounded to the nearest one hundred thousand?\nAnswer: 867900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0*s)**(1\/26)*(s**(-2\/7)\/s)**(-1\/63)*((s\/(s\/(s*s\/s**(1\/5))*s))\/s**6)\/((s\/(s*s\/((s*s**(3\/7)*s)\/s)*s))\/(s*s\/(s\/s**(2\/3)))) assuming s is positive.\nAnswer: s**(-55477\/19110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1573) - (-1 + sqrt(1573) + 0)) + -4)*-3)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16000?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 989*z - 3. Let x(a) = -52606*a**2. Calculate m(x(r)).\nAnswer: -52027334*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 179 + 19. Let m = 69 + l. Solve 0 = m*y + v + v + 15, -3*y + 5*v = 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -8, 5, -2, 4, -5 in ascending order.\nAnswer: -8, -5, -2, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -675*x**5\/8 - 22275*x**4\/32 - 4515*x**3\/2 - 3577*x**2 - 2744*x - 345. What is f in n(f) = 0?\nAnswer: -28\/15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**4\/24 - f**3 + 12*f**2. Let n be l(-6). Solve 2*s - 4*g = -g - 3, g - 1 = n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - 3637*b**2 + 5728*b**2 - 2930*b**2 in the form i*b**2 + a*b + s and give i.\nAnswer: -839","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/29 (b) 3 (c) 2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5*-2*sqrt(114) + sqrt(114))\/(-1*sqrt(216)))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i**3 + 39*i**2 - 142*i + 100. Let p(l) = -17*l**3 + 111*l**2 - 424*l + 302. Let b(v) = -6*p(v) + 21*t(v). Factor b(d).\nAnswer: -3*(d - 48)*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 divided by 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 730310*q - 5112168. What is k(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - ((-4)\/35 + -2). Let m = 26\/35 + p. What is the third biggest value in 5, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 154133760 from -0.083.\nAnswer: -154133760.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*d - 99 = 0, 2*d + 53 = 3*x - 3*d. Suppose -m + x + 87 = 0. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 410442013 (base 5) to base 16\nAnswer: 19444b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/5909 + 76967\/886350. Let i = j + 2\/25. Let d = -1 + 0.5. Which is the second biggest value? (a) d (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -161, -328, -495, -662, -829, -996?\n\"Answer: -167*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6439706, -6439717, -6439728, -6439739?\n\"Answer: -11*g - 6439695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4802*t**5\/3 - 34300*t**4\/3 + 32340*t**3 - 45360*t**2 + 31590*t - 8748.\nAnswer: 2*(t - 2)*(7*t - 9)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 3\/2 (b) 2\/33 (c) -1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/84 and 64\/105.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25532, -23080, -18984, -13238, -5836, 3228?\nAnswer: 13960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73222?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3320 + -112002?\nAnswer: -121322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10 + -4)*(15\/(-6))\/(-5). Let h be 2 + -1 - 39\/45. What is the second biggest value in h, -1, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36258 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/112)\/((-9)\/3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -115148.44 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 15 + 15. Let y be (-546)\/(-30) - 2\/o. Suppose 4*a = -2 + 10. What is the greatest common factor of y and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 139*f = -137*f - 43, -2*f = -3*m - 25. Factor -13*d**m - 1\/2*d**4 + 169\/2 - 84*d**2 + 13*d.\nAnswer: -(d - 1)*(d + 1)*(d + 13)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 4 - 2910*q**3 - 2040*q**3.\nAnswer: -4950*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2640, 192, 0, -6, 3 in increasing order.\nAnswer: -2640, -6, 0, 3, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*(g*g\/(g*g**(3\/5))*g)\/g)\/(g*g**(2\/55)*g*g*g))\/(g**25\/(g*g**(3\/7))) assuming g is positive.\nAnswer: g**(-1941\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/1 + 3)*0. Suppose c = 9*h - 11*h + 32. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-8) + (-77)\/(-44). Factor -198*f - 38*f**2 + 16 - 11*f**a - 178 + 9*f**3.\nAnswer: -2*(f + 1)*(f + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1 = -0, 2*n - 3*m - 47 = 0. Let u be n\/6 + (-3)\/(-9). Suppose 3*c = 15, 3*c - 3 = -g + 17. Solve 4*x - 9 + 33 = 4*s, 15 = g*x + u*s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 6*p + 100. Let r = 42 + p. Suppose -15*b + r*b = 46. Calculate the remainder when 68 is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 707 = -226*f + 5001 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4045.4189 + -4069.41. Let v = 3.1 + 20.9. Let u = a + v. Round u to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-504)\/240)\/(-21))\/(15\/3)\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-820)\/123)\/((20\/(-6))\/(-5)*(-10)\/10).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qtts when four letters picked without replacement from qqtnsaqscnnaatq.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2*-1*sqrt(156) - sqrt(156))\/(sqrt(36)\/sqrt(3)*-2) - (4 + -2*sqrt(1300) + 1 + sqrt(1300) + sqrt(1300) + -1)).\nAnswer: -20 - 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 110*v**5 - 2295*v**4 - 257073*v - 2.\nAnswer: 2200*v**3 - 27540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 347\/6 or 59?\nAnswer: 347\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - (-2 + 8)) + 1. Suppose 8*y + 5*y = -312. Let s = 24 + y. Put a, s, 3 in descending order.\nAnswer: 3, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 5 (c) -2.5107 (d) -1 (e) 3 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3194 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3*b + 38. Suppose 0*y - y + b = 0. Let r = 107 + -31. What is the highest common factor of r and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/66*10*6888\/(-1435).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/(-220)*(4\/20)\/(90\/(-125))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 274 - 293 = 0. Let w = -156 - h. Let a be w\/10*(-2)\/3. Solve -14 = -a*u + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4728445 = 4728453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**2 + 4*n - 3. Let g(a) = 3*a**2 - 4*a + 3. Suppose 14*m = 23*m - 27. Let v(d) = m*g(d) + 2*w(d). Suppose v(o) = 0. What is o?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*21\/(-12)*2. Let f = x - 6. What is the units digit of (f\/3)\/((-1)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 5*x**2\/2 - x - 2. What is the units digit of g(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111961 is divided by 55973.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o - 2*o**2)*(-52 + 20 + 25)*(0*o**3 - 3*o**3 + o**3).\nAnswer: -28*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3906 and 5301.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207, 422, 637?\nAnswer: 852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 25*v**2 - 920*v + 1602. What is i(35)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -204749*r. Let g(p) = p**2. Give m(g(b)).\nAnswer: -204749*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1103001032 + 13?\nAnswer: -1103001013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005240145 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*a + 38*a + 0*a as d*a + r and give d.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1535683 to 3 dps.\nAnswer: -0.154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/8)\/s)**(-44)*(s**22\/s)\/s*s*s**(-1)*s)**(1\/8) assuming s is positive.\nAnswer: s**(163\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 f, and 1 i when three letters picked without replacement from {e: 3, f: 2, g: 1, n: 3, i: 6}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-142 - -157)*(3 - 14\/5). Put w, -52, 1, -10 in descending order.\nAnswer: w, 1, -10, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 355 = -8*u, 2*u - 1449 = 2*h - 1549 for u.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*((6*sqrt(24)*-2)\/sqrt(8) - (sqrt(75) + (sqrt(75) - (sqrt(75) - (1 + sqrt(75))))*-3))**2 + -4.\nAnswer: -240*sqrt(3) + 416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75827797?\nAnswer: 107, 331, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**2 + 5. Let y(m) = m**2 - 2. Let l(p) = -2*n(p) - 5*y(p). Let q(v) = 5*v - 8. Give l(q(x)).\nAnswer: 25*x**2 - 80*x + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74 + 4. Let b = g - -116. Suppose -5*z + b = -149. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 31b4d + -5?\nAnswer: 31b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/31? (a) 0.1 (b) -4\/13 (c) 170\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 9218*u - 46140.\nAnswer: 2*(u - 4614)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 642239 to the nearest integer?\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1051 - 71 = -253*m + 287*m for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 h when four letters picked without replacement from {m: 12, h: 1}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -51752297.3?\nAnswer: 51752297.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-9)\/27*(-12)\/16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20618902, -20618866, -20618830?\n\"Answer: 36*x - 20618938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006262199 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -3) + -1 + 116 + -118.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1167, 1168, 1169, 1170?\n\"Answer: w + 1166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.33 (b) -7.84 (c) 16 (d) 6 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0586 to three dps.\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217 - 521 = -6*z. Suppose -h = -137 + z. Calculate the lowest common multiple of h and 34.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1345839 and 17952?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f**2 + 7257*f - 472999. Calculate w(62).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26 + 15 + 10 - 48*v**5 + (-v - 4*v + 3*v)*(-2*v**4 - v**4 + 2*v**4) + 0*v**5 + v**5 + 0*v**5 + 7*v**5 - 6*v**5 + 7*v**5.\nAnswer: -37*v**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31250566, -31250570, -31250576, -31250584, -31250594?\n\"Answer: -n**2 - n - 31250564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 1:00 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 + -65. Suppose -2*l = 29 - 119. Calculate the remainder when l is divided by 5\/(-30) + a\/(48\/(-146)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(19) + 1 + 5)**2 + 1*(sqrt(304) - (sqrt(304) + 0)) + (-3 + -4*sqrt(19)*1 + 2)**2*-5.\nAnswer: -1800 - 100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1341.5473 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 - l + l + 3*l**2 + 15*l - 15*l + (-2 + 2 - l)*(l - 4*l + l) - l + 3*l**2 + l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bov when three letters picked without replacement from bvvvvvvovvvvbv.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08831 + 1.23651. What is m rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3761, 558, -2645?\nAnswer: -5848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 8*c**2 + 34*c - 7. Let t(o) = 7*o**2 + 7*o - 3. Let m be t(1). Let z be j(m). Suppose 0 = -3*a - 2 + 5. Put a, z, -3 in decreasing order.\nAnswer: z, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 774, 3030, 6790, 12054, 18822, 27094?\nAnswer: 36870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -40 + 11 + 6*u + 18. Suppose 0 = -3*j + 3*v + 18, -4*j = -6*v + 4*v - 20. Let n = -6 + j. Let s(c) = -c + 2. Determine n*l(b) - 11*s(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9\/d*d*(d**(2\/11)*d)\/d)**(-22) assuming d is positive.\nAnswer: d**(-202)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-435)\/180 + 6.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 56558 - 26?\nAnswer: 56532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 408*m - 200456*m**2 - 408*m.\nAnswer: -200456*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + -1*sqrt(65))*-5 - sqrt(65) - 5*1*sqrt(65))\/((sqrt(5) - sqrt(25)\/(sqrt(5)*2)) + (-1*sqrt(5)*2 - sqrt(5))) + 5.\nAnswer: 5 + 12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 + 2*c**3 - 2*c**3 + (0*c - 3*c + c)*(25*c**2 + 26*c**2 - 9*c**2).\nAnswer: -82*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b. Let o(h) = 3*h**2 + 5. Let l(r) = 2*r**2 + 4. Let i(d) = -5*l(d) + 4*o(d). Determine i(u(c)).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 10 = -4*v. Let z(g) = g**2 + 5*g - 3. Let o be z(v). Let d be 15\/(-2)*2\/(-3). Solve d*k - o*a = -11 - 14, -3*k + 4 = 2*a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133.3 + -70\nAnswer: -203.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112726045 and 1885?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -3*w + 19, -4*w = -5*p + 252 - 254 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 219063.\nAnswer: -1\/73021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10083 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: Simplify (o**(-6\/7)\/(o*o**(-4))*o**(1\/2)*o**(2\/21))**(-9) assuming o is positive.\nAnswer: o**(-345\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 98928 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 3*q**2 - 4*q**2)*(91 + 13 - 45).\nAnswer: 59*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 45 = -5*f + 8*v, -5*f = 6*v + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 711.99135 seconds?\nAnswer: 0.008240640625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27\/18*(-3208)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - (-756)\/48)*(-36)\/57?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1717440 and -17939180.\nAnswer: -16221740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4626924?\nAnswer: 2, 3, 17, 37, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 25 = -2*l - g, 5*l = g + 61. Let u = l - 7. Suppose 3*i - 42 = -a, 2*a = -u*i + 26 + 44. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123427, -24, -5, -51.\nAnswer: -123427, -51, -24, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*t + 4*u - u, -11 = 3*t + 2*u. Suppose 6 = 4*i - 94. Let r be 32\/6 + (18 - i). Sort t, -4\/3, r.\nAnswer: t, r, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(176\/(-33))*11\/3. Let x(f) be the second derivative of 3*f + 0*f**3 + 0*f**4 + 0 - 3\/20*f**5 + n*f**2. What is the first derivative of x(q) wrt q?\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34448207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -48, -43, -36, -27, -16?\n\"Answer: y**2 + 2*y - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 420, 2\/7, 57, 0.1, 6 in descending order.\nAnswer: 420, 57, 6, 2, 2\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2555131393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (469\/(-3283))\/(1\/(-2)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 68, 203, 454, 857?\nAnswer: 1448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 240066852089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*x = 12 - 46, -3*q = 4*x - 28. Let y(m) = -m**2 + 10*m - 12. Let n be y(q). Let j be -1 - n\/((-16)\/6). Which is greater: j or 1\/6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0326427 + -0.0327. Round h to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a - 528 + 1468 = 75*a. Solve -4*p - 3*i - 22 = -2*i, 5*i = -a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90 + 21190\/234)*(11 + -1)?\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -200, -477, -872?\nAnswer: -1385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**5\/5 + 12*s**4\/5 - 12*s**3\/5.\nAnswer: -3*s**3*(s - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 5*k**2 - 6*k + 2. Let j be w(-6). Suppose l + j = -4*o, -2*l + 0*l + 7 = -3*o. Let r be (o - 2)\/((-1)\/1). Solve 0 = r*v + 13 - 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5306*l - 1001 = 5307*l - x, -l - 985 = -5*x. Suppose 0 = 3*p - 2*p - 1916. Let y = l + p. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 963, 4487, 10345, 18531, 29039, 41863, 56997, 74435?\n\"Answer: -x**3 + 1173*x**2 + 12*x - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**18*z*z)**(2\/7)\/(z*z**(-22))**(-8\/11) assuming z is positive.\nAnswer: z**(-102\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w = 4*f + 19*w - 225734, -3*f + 3*w + 169341 = 0. List the prime factors of f.\nAnswer: 7, 11, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 437115?\nAnswer: 1\/145705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 202*h. Let k(x) = -2*x + 1. Let m(d) = d**2 + 6*d - 3. Let p(g) = -3*k(g) - m(g). What is p(w(v))?\nAnswer: -40804*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 34*v**2 + 55*v - 42. Let k be t(-33). Let r = k + 800. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17*(-60)\/(-3400)*10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53462 is divided by 775?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*w = -6*f + 12, 2*f = 4*w. Suppose 2*v - 12 = f*r, -3*v + 4*r = -0*v - 16. Solve v*j = 27 - 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 13*f - 10. What is y(13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 4*o + 3*o)*(-7 - 22 + 14)*(13 - 3 + 6) + 0 + 0 + 4*o.\nAnswer: -476*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + -31. Let k be 16\/(-60)*o\/6. Let g = k + -7\/2. Sort 2\/7, g, -3\/7.\nAnswer: -3\/7, g, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -4, 3\/7, -2, 0.26, -0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -759020 (base 11) in base 12?\nAnswer: -4a586b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 7840905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*v + 18, v + 5*s - 12 = s. Let n(i) = v*i + 8*i - 14*i. Let g(z) = 5*z + 7*z - 4*z. Give g(n(w)).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*t = 47*t - 15*t + 16*t - 3312 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 27*a - 147. Let j be w(-11). Solve 0 = 5*g - h - j, 3*g + 12 = h + 29 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321808000 rounded to the nearest 1000000?\nAnswer: 322000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-28)\/70)\/((-4)\/(-5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o + 6. Let s(r) be the first derivative of -r**3\/3 + 516. Calculate s(d(p)).\nAnswer: -25*p**2 + 60*p - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*g**2 + 39*g**2 + 132*g**2 + 52*g**2.\nAnswer: 185*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 4173?\nAnswer: -29211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1705126 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 a = -304 - -305. Sort -2, a, -3, 9 in descending order.\nAnswer: 9, a, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3940744 is divided by 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -225316 by -2476.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 616, 1227, 1838?\nAnswer: 2449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x + 11*x - 11*x + 17*x + 9*x. Let w(a) = 7*a. What is r(w(t))?\nAnswer: 224*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24499.\nAnswer: 24499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -3*x + 5*o, -168*x - 174*x + o = -343*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + -4 - 1*2. Suppose 3*o - 11 = -2. Suppose u = -5*j + o*j. Solve c + 5*b + 20 = -2*c, j = c - 5*b - 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -293 - -293. Suppose r = 4*f - 1906 - 398. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -961, -1493, -2025?\n\"Answer: -532*q - 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**2 + 2*z + 1. Calculate p(-3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k. Let l(u) be the second derivative of u**3\/6 - 5*u. Determine y(l(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 6*k**4 - 5*k**4 + 0*k**4 + 9*k**4 + 5*k**2 + 5*k**3 - 4 in the form s*k**3 + x*k**2 + c*k + g*k**4 + y and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -b164?\nAnswer: -b163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f**2 - 2 - 4*f**2 + 29 as i + p*f + h*f**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 539194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 0)\/(5 - 4). Let x be 16\/(-24)*3\/v. Let j(y) be the first derivative of -y**2\/2 + 29. What is j(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32496 * -0.3.\nAnswer: -9748.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 32*h**2 - 7*h - 207. What is k(-32)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 != 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 21*v**2 + 19*v + 20. Let d be 1044\/52 - (-6)\/(-78). Let g be r(d). Let t = -2 + 2. Solve t = -g*j - 3*j - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252 a factor of 26257585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 4 = 2*w, 3*w = -d + 2 - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*f - 0, 3*f = -3*n - 18. Let i be (-20)\/(-30) + (-4)\/6. Let x be 16\/(n - i)*337500. Round x to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t - 5*t - t**2 + 0*t**2 in the form r*t + l + z*t**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 124 = -2*x - 113, 52*x + 84 = 4*a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - -2463159?\nAnswer: 2463152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*v + 1276*v - 7802 = 380*v + 297*v for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7506 = 39*z - 30*z. Is z a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-11)*(-927)\/(-3708)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 + -24. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72760 is divided by 11690.\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 4. Suppose 2 = s - 0. Factor i + s*a + 4*a**4 + 51*a + 48*a**2 + a - 14*a + 24*a**3.\nAnswer: 4*(a + 1)**3*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eel when three letters picked without replacement from {e: 2, o: 1, l: 7}.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q - 46. Determine k(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -41671, -41682, -41669, -41620, -41523, -41366, -41137?\n\"Answer: 2*i**3 - 25*i - 41648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -669984072 divided by -55334\nAnswer: 12108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 + 4*u**4 + 0*u**4 + (-4 + 1 + 2)*(-2 + u**4 + 2) - 4*u**4 - 1 + 1.\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 - 14*p**2 + 5*p - 112. What is n(-11)?\nAnswer: 801","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20353 - -20502) + -61 + -1?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -0.6, 0, -1\/11?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 10 = 3*t + 5*c, 3 = 3*c. Suppose -3 - 3 = -3*h. Suppose 0 = -3*k - h*v - 22, k + 3*v = v - 14. Sort 3, t, k in increasing order.\nAnswer: k, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 25*n. Let x(p) = 760*p**2. Calculate f(x(i)).\nAnswer: 19000*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 2*i + 3*i + 3*i + 0*i - i + (-i + 0*i + 2*i)*(4 - 3 + 1) + 1 - 1 - i)*(2*i - 2*i + 2*i**2).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 9 - 3. Let m be ((-1)\/2)\/((-1)\/1)*(26 + 56). Solve 0 = d*x + m - 33 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 5*o**2 + 122*o - 12. Determine c(9).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-1 - (2 + -3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-22) + 204\/(-33). List the prime factors of 114\/(-95)*170\/a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 3665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 108 - 108.178. Let i = 0.18227 + s. What is i rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1081 + 1086. Solve 0 = 73*u - 78*u - y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*h + 7*q - 10*q, 5*q = -4*h + 38. Solve -j = k + 1, -k + h*j - 4*j = -7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(170)\/((sqrt(10) - sqrt(360))*2) + -3*(-2 + -2*sqrt(272)).\nAnswer: 4 + 239*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38822*c**5 + 580*c - 36 wrt c.\nAnswer: 776440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cikiikichkckkikc. Give prob of picking 1 h and 3 c.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 11*u + 11*u + 5*u - 120 = -3*a, 0 = -3*a - 14*u + 582 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10197.3 and -0.4.\nAnswer: 4078.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = f + 17 - 30, -3*f - y + 11 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**3 - 34*c**2 + 5*c. Let l(b) = 2*b**3 + 17*b**2 - 3*b. Calculate -5*l(d) - 3*x(d).\nAnswer: 5*d**3 + 17*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 32. Let v be 204\/33 + t\/(-3). Let h = v + -85\/44. Which is the closest to 0.03? (a) 2\/3 (b) 3\/7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 15888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millennium in decades?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 + -53. Solve 3*y = -y + 4*j + l, -2*y + j = -3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.64513562 to one decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -499805 (b) -2\/11 (c) -2 (d) 0.3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 371*m - 8530. Let r be c(23). Suppose -3*x + 0*z = -2*z + 79, -77 = 4*x + 3*z. Put r, x, -4, -1 in ascending order.\nAnswer: x, -4, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -513 (c) 4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5e78a (base 16) to base 7.\nAnswer: 3201101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i + i + 3*i + (-2*i + 5 - 5)*(4 - 2 - 1) + 2*i + 0*i + 0*i + (-i + 0*i + 0*i)*(-18 + 34 - 13).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 7*r**2 + 7*r + 6. Suppose -5*f + 51 - 1 = 0. Let v be (8\/f)\/(1\/(-5)). Is 13 a factor of b(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8207939.\nAnswer: 47, 174637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 9*k - 15 = 0. Suppose -8 = -k*s - 20. Suppose 6 = -7*b + 34. Sort s, b, 0 in decreasing order.\nAnswer: b, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 64 = -74 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5105870 divided by 5.\nAnswer: -1021174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-100)\/125)\/((-4)\/10). Find the third derivative of 9*m**6 + 18*m**5 - 6*m**6 + 16*m**a - 4*m**6 wrt m.\nAnswer: -120*m**3 + 1080*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7569.407 centimeters to micrometers.\nAnswer: 75694070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.06 + -19.06. What is the nearest to 0 in 2\/7, 0.1, 3, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5, -4*k = 3*d - 5*k - 905. Does 25 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15313 = -26*q + 12767. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 + 3*l - 87 + 10*l - 17 - 2*l - l.\nAnswer: 10*l + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85 - -220. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -3*z + 3*g, g + 3 = -0*g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)\/(((((o*o\/(o**2*o))\/o)\/o)\/o)\/o))**(-31) assuming o is positive.\nAnswer: o**(-93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*f - 32*f - 25 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 + 76. Let k be (-1)\/2 - 2\/(-4). Let i = h - k. Solve 0 = 3*t + 4*r + 11, i = 4*t - 3*r - 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69*8.53.\nAnswer: -588.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 3*c**2 + 0*c**2 + 24 - 42.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 141.9 - 142. Let i = 66 - 24. Let l = i + -41.8. Sort l, 1, w, -1.\nAnswer: -1, w, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1578*f**6 - 5*f**2 - 9*f wrt f?\nAnswer: 189360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 9:07 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 590425 divided by -10.\nAnswer: -118085\/2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m + 2 - 2*m**2 + 0*m**2 + 9*m**2 - 5 = 0.\nAnswer: -3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1))**45*(p**(-6)\/p)\/((p*p*(p**(-5\/2)\/p)\/p)\/p) assuming p is positive.\nAnswer: p**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 - 38 = 3*y + 41 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 4:34 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 601927 = -4*r, -5*v - 520067 = 8*r - 1723816. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 324530 + -324527. Let d(i) = -3*i - 2. Let s(w) = -1. Let u(n) = d(n) + 2*s(n). Calculate u(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 + 1753*b**2 - 874*b**2 - 879*b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511 is divided by 166?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-56)*(-10)\/(-15)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 104\/10643?\nAnswer: 104\/10643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.3 - 3. Let t = c - 0.1. Let w = 0.2 + -0.4. What is the smallest value in 4, w, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2059476580 divided by -5.\nAnswer: -411895316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/14, 1, 3, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3)*o**(4\/7)*(o\/o**(-5))**28)**(-28) assuming o is positive.\nAnswer: o**(-14188\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/2 - 111*s**2\/2 - s\/2 + 111\/2.\nAnswer: (s - 111)*(s - 1)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -d**4\/2 + d + 12. Differentiate v(y) with respect to y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -545907 take away 0.003?\nAnswer: -545907.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, y: 1, o: 2, z: 1, x: 3, d: 3}. What is prob of picking 1 z, 1 o, and 2 d?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-322)\/21*(-9)\/1 is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/9 (b) 5 (c) -2620\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1403*f**2 - 704*f**2 - 698*f**2 - 170*f**5 + (2*f + 2 - 2)*(4*f**3 - f**4 - 4*f**3).\nAnswer: -172*f**5 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 174 - 90. Let s be (-1)\/(-4) - m\/16. What is the units digit of (-122)\/(-10) - (-1)\/s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + 0.2. Let g = -0.2 - i. Which is the second biggest value? (a) 2 (b) -3\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -81 - -81. Let n be l + 535 - (-84)\/(-21). What is the greatest common factor of 59 and n?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -9*q**2 + q - 11. Let v be -12*3\/(-42)*14\/4. Let x be o(v). Let p = x + 105. Which is the nearest to 0? (a) -3 (b) p (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 10:47 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1899731876 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-75))\/(((-7070)\/252)\/101)\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 79*m - 83*m - t - 69, 577 = -37*m + 3*t for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfgn when four letters picked without replacement from fufuynygullyl?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**4\/4 - 22*r**3\/3 + 11*r**2 - 14*r - 3. Let q(g) = 12*g - 147. Let v be q(14). Let i be d(v). Are i and 8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213234 (base 7) to base 15.\nAnswer: -b02c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 22*x + 131. What is n(-26)?\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**3\/2 - 858625*y**2 + 73523222270*y + 34448530135060 = 0 for y.\nAnswer: -466, 171958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 524, 609, 254, -535, -1752?\n\"Answer: g**3 - 226*g**2 + 756*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**2. Let c(i) = -i**2 + i**2 - 2*i**2 + i**2. Give 11*c(t) + 2*j(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15705.456 microseconds?\nAnswer: 0.0002617576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 2*h**2 + 0*h**2)*(-26*h**3 + 593 - 593).\nAnswer: -52*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.6 - -5. Let i = -2.6 + -0.4. Let r = i - y. Which is the third biggest value? (a) r (b) -3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1702 + -1054. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002585541 to seven decimal places.\nAnswer: 0.0000259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 9*c**2 - 4*c + 2. Let u be r(7). Suppose -4*y + 62 = y - 4*n, 5*y + n - u = 0. What is the units digit of y\/35 - (-3)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z\/((z**(2\/3)*z)\/z*z*z))\/z)**(-1\/3)\/(z**(-3))**49)**(-3\/13) assuming z is positive.\nAnswer: z**(-1325\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15091 is divided by 296.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -825?\nAnswer: -4\/825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h = 3*o + 15*h + 48 - 129, -270 = -10*o - 3*h for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(4)\/sqrt(72))**2 - ((sqrt(128) + -1)**2 + 1 + -2).\nAnswer: -1151\/9 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*(7 + 8 + -14). Solve c*k - k = 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z + 10. Suppose -10 = 2*d, z*i - d - 3*d - 95 = 0. Suppose -4*m = -m - i. Solve g + m = 6*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1403910 - 1403910 + 2014*n.\nAnswer: 2014*n","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 4*n**2 - 6*n - 3. Let z(y) = 4 - y - 7 + 0 + 4. Determine -c(t) - 6*z(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**5 - u**3 - u + 1. Let a(t) = -6*t**5 - 6*t**4 - 17*t**3 - 10*t**2 - 8*t + 5. Let r(x) = a(x) - 5*y(x). Let r(n) = 0. Calculate n.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 313 - 311. Let x = -0.7 + 0.2. What is the smallest value in 1, x, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*n + 10*n + 25415 = -145*n for n.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2665209.6 months to decades.\nAnswer: 22210.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110283211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -128*u**3 - 2*u**2 - u - 1. Let z be l(-1). Let v be ((-9)\/(-6))\/((-1)\/(-454)). What is the common denominator of -121\/12 and v\/z + 4\/6?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10*(-3)\/((-60)\/8). Is ((-118)\/4)\/((-2)\/y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000508 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**4\/2 - 5*y**3\/3 - 3*y**2\/2 - 17*y - 35. Calculate the remainder when t(5) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 11:39 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 greater than 924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/((73\/(-657))\/((-46)\/(-6))).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.06 + 4. Let m = -0.9 + 0.86. Let n = k + m. Which is the closest to n? (a) 0 (b) 0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14426, -28850, -43274, -57698, -72122, -86546?\n\"Answer: -14424*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.666 - -3.666. Is b >= 9.92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 11 - 15*u**2 - 15 + 4. Let j(b) = b + 1. Let x(t) = 4*t + 6. Let a(k) = -6*j(k) + x(k). What is a(g(v))?\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2352\/294 + 28\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.5 - -8. Which is the nearest to -0.1? (a) 5 (b) 0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1469776.748 rounded to the nearest ten thousand?\nAnswer: -1470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1545 is divided by 47.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -900+-2758.127488\nAnswer: -3658.127488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2188708042 to the nearest integer?\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14262*j**2 - 14264*j**2 + 0*j + 0*j.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from hiyiyyihiiiiyhii?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 2*k. Let t = 106 - 101. Suppose -5*b - t = k, 4*b = -5*g + 5*b + 61. Calculate the highest common factor of 48 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u - 38. Let l be r(-10). Let w be l\/5 + (-268)\/(-5). Calculate the highest common factor of 54 and w.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-6) + 2*1. Suppose m*o + 3*s = 78, -o - 3*s = -11 - 7. Suppose -x = -o - 25. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, m: 6}. Give prob of picking 1 s and 3 m.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 50, -0.03, -945\/11, 8?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37.7 + 38. Which is the closest to 0? (a) -1 (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f - 14. Let q be w(-9). Suppose 2*a = -6*k + q*k - 2, 0 = 3*a + k - 5. Let z = a - -59. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53088 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 2 - ((-8 - -17) + 1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d**3 + d**2 - 1. Let i be l(1). Solve 0*b - i*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407975 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -1)*1\/3. Let n(f) = -f**3 + 4*f**2 + f - 3. Let w be n(4). Let k be 1 - 1 - (-4)\/6. Which is the closest to -1? (a) k (b) w (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34450 is divided by 261?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.6 + 0.6. Let y = 0.3 + 3.7. Let k = 34 + -271\/8. What is the biggest value in k, o, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2418\/620*(-6)\/9?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 736 and 169696?\nAnswer: 3903008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22593, 22660, 22773, 22932?\n\"Answer: 23*b**2 - 2*b + 22572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/266 and 28\/8249.\nAnswer: 2194234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 + -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 117.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 348.5474054 and -0.469?\nAnswer: 349.0164054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33540\/3773250*(0 + 2)\/(4\/6)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3*(-20)\/(-21))\/((-178)\/623). Let n be 210\/(-21) - (-185)\/z. Let o = 2 + 8. Is o greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 416\/(-2652)*3\/(12\/(-10))*472\/(-14160)?\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(5 - 2 - 1)*(-8*x - 9 + 9).\nAnswer: 32*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/(-30))\/(6518\/(-97770)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 7 - 39*h**4 - 3*h**3 + 9*h**3 - 5*h**3 - 55*h**2 + 2*h + 49*h**2 as z*h + m*h**4 + t*h**3 + w + g*h**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p + 0 = 36 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*h + 9 - 9.\nAnswer: 37*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48059376?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1*-729\nAnswer: -729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 689586*o. Let p(j) = 2*j**2. What is p(x(c))?\nAnswer: 951057702792*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -1612045146?\nAnswer: -1612045154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 7:12 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 461002 = -4*i - 2*a, 3*a - 460997 = 5*i. What is i rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16.81 and -5548.\nAnswer: 93261.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 3458 = -28926. Suppose 15*x - j = 13*x + 4*y, 0 = 5*x - y - 5069. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.46 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - r = -2*r + 14, 2*r + 20 = 4*d. Let b(g) = g**2 - 4*g. Let w be b(d). Is w bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 2*g**2 - 2*g - 8. Let r = -37 + 15. Let c = -17 - r. List the prime factors of n(c).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**7\/840 - z**6\/480 - z**5\/80 + 5*z**4\/96 - z**3\/12 + z**2 + 4. Factor l(q).\nAnswer: (q - 1)**3*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -248548*a**6 - 11*a**2 - 27059*a?\nAnswer: -29825760*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.293556887 to two decimal places.\nAnswer: 3.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(252))**2 + sqrt(7))*-1.\nAnswer: -252 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 582851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q - 6. Let y be z(4). Suppose 4*b - 3*u = -4, -3*b - y = 2*b - 4*u. Suppose 0*d - b*d - 2*c = 4, -2*c = 4. Is d <= 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + 4. Suppose -2*s + 27 = -j, j - 48 = 433*s - 436*s. Solve 5*u - m*u = -s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1050*a + 62 - 1054*a + 133 - 118 + 128 in the form d*a + v and give v.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1218, 0.3, 7 in decreasing order.\nAnswer: 1218, 7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.37321 to 1 dp.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 5 = f + 2*f, -4 = 3*l + f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 246 + -59. What is the highest common factor of w and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1568059 is divided by 6855.\nAnswer: 5119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) + (sqrt(1088) + 2)*2 - (sqrt(34)\/sqrt(18) + 0).\nAnswer: 4 + 71*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1240*d**3\/9 - 31258*d**2\/9 - 2150*d\/3.\nAnswer: -2*d*(d + 25)*(620*d + 129)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*p + 1375 = -28*p + 711 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 101685 and 15?\nAnswer: 101685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-299)\/(-26))*(47 - 41)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -4. Let u be 8 + 0\/i + -3. Suppose -u*r = -74 - 191. Calculate the remainder when r is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -39*d**2 - 23\/30*d**5 + 0*d**7 + 0*d + 1\/48*d**8 + 0 + 0*d**3 - 1\/30*d**6 + 0*d**4. Find the third derivative of w(k) wrt k.\nAnswer: 420*k**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -14.647370161.\nAnswer: -14.947370161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + a - 20. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.53 - 167.79851465.\nAnswer: -168.32851465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 145 and 3567?\nAnswer: 17835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 431.26 times -0.06?\nAnswer: -25.8756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**3\/3 - 3*j**2 + 8*j - 38. Calculate w(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 282*-126.7\nAnswer: -35729.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, p: 4, m: 3, i: 1, n: 1}. What is prob of sequence aap?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 7. Let w be q(4). Let o = w + -3. Let p = o + 14. Calculate the greatest common factor of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/228 and 47\/6312?\nAnswer: 119928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 183 or 182?\nAnswer: 182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19, 172, 587, 1396, 2731, 4724, 7507, 11212?\n\"Answer: 22*i**3 - i**2 + 2*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 24 = -4*m, 0 = -5*m - 2*i - 24544 + 24556 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9912757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 13290 = -1875. Suppose -7*n - 1899 - x = 0. Round n to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19420901 and 644?\nAnswer: 543785228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -37199+-50\nAnswer: -37249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 128 - 137. Let p = 31\/12 - 167\/6. Calculate the common denominator of (-2)\/v - (-701)\/126*1 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.839 + 2.0736. What is u rounded to two decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76\/2*(-1)\/(8\/(-5468)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 6. Let z be h(6). Suppose -6 = o - z. Let n(m) = -14*m**2 + 2. Let a(i) = i**3 + 14*i**2 - 3. Let y(l) = o*a(l) - 5*n(l). Factor y(k).\nAnswer: -2*(k + 1)*(k + 2)*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 6*s**4\/19 + 124*s**3\/19 + 578*s**2\/19 - 292*s\/19 - 416\/19 = 0.\nAnswer: -13, -8, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + 81. Suppose 8*j - d = -3*j. Let -86*a**5 + 4*a**3 + 6 - 12*a**2 + 84*a**5 - a - a + 6*a**j = 0. Calculate a.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-2))\/((-3)\/(-30)). Let y(s) be the second derivative of -7\/2*s**2 - 1\/3*s**3 - s + 0. Determine y(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) - (sqrt(150) - 3*sqrt(150))*-4)\/(sqrt(3)*-3*3*-1))**2.\nAnswer: 2450\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20265, 20228, 20163, 20064, 19925?\nAnswer: 19740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 16) to base 13\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 - 60. Suppose -19*x + a*x = 106. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*o + 3*n, -2*o - 26 = o + 4*n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 9*w**2 - 7*w - 1. Let y be ((-56)\/77)\/((-9)\/99). Give s(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10882791276.00000079 + -10882791191. Let y = -28 - 57. Let j = y + d. What is j rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**4\/4 + 3481*y**2\/2 - 9986*y + 6035. Find the first derivative of u(v) wrt v.\nAnswer: 3*v**2 + 3481","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.95872 litres to millilitres.\nAnswer: 15958.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -8897 in ascending order.\nAnswer: -8897, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - m - 82 = -2*m, 3*m + 42 = 3*f. Let w(r) = -r**2 - 14*r + 70. Calculate the remainder when w(-16) is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1860, -1836, -1798, -1746, -1680, -1600?\n\"Answer: 7*i**2 + 3*i - 1870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 22. Let m(c) = 4*c**2 - 2*c - 6. Suppose 2*o + 2*s = 6, -2*o = 4*s + 1 + 1. Let z be m(o). What is the highest common factor of z and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31013 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.93855l to millilitres.\nAnswer: 93938.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3214339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**6\/3 + 1264*h**5\/5 - 455*h**2 + 289. Find the second derivative of i(v) wrt v.\nAnswer: -40*v**3 + 15168*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 780 and 1482?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(21) + (sqrt(147) + (sqrt(147) - sqrt(147)*-1))\/sqrt(7) + sqrt(21) - sqrt(21))\/(2*sqrt(63)).\nAnswer: 10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 5*h + 2. Let x be c(-5). Let w be x*((-4)\/8)\/((-1)\/5). Solve -2*s = y - 2 - 9, 0 = w*y - s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/9 and -149\/3132.\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 598*q + 52*q - 112*q + 6 - 199*q.\nAnswer: 339*q + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 3)*(2*b**3 + 0 + 0) - 29055*b**2 + 29054*b**2 - 7942*b**3 + 7941*b**3 - 197*b + 37 to the form q*b**2 + x*b**3 + v*b + z and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/12*-2 + 30\/100. What is the closest to -9 in -4\/5, m, 0.3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 13) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 8 - ((-3 - -5 - 0) + 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7d90e2 (base 15) to base 13.\nAnswer: 1322c81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -1. Let d(y) = 17*y - 22. List the prime factors of d(q).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (26\/130 - 46\/5)*-5. Factor 16 + 382*u**3 + q*u**2 - 716*u**3 - 4 + 355*u**3 + 39*u + 3*u**4.\nAnswer: 3*(u + 1)**3*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492.469 millimeters in micrometers?\nAnswer: 492469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3002781 to the nearest integer?\nAnswer: 1733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -207, -6, 5, -13 in increasing order.\nAnswer: -207, -13, -6, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = 47*w - 171. Solve 6*i - 7*i = 5, 0 = 5*f + w*i - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 2. Calculate the remainder when 91 is divided by k(21).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1390.7 minus 31481.678?\nAnswer: -32872.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5215275563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 39993600 to the nearest 100000.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 10:20 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + (4 - -12) + 19 - 97.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**3 + 4*i**3 + 2*i**3)*(-14*i - 55 + 55).\nAnswer: -42*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7761 + -155141\/20. Let x = -2569 + 46303\/18. Find the common denominator of s and x.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 4:37 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - -58) + -602 + 557.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15*-23005\nAnswer: -345075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154494*-0.8.\nAnswer: -123595.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 4*h = 2*h + 58 + 144, 4*h + 358 = -10*g + 90 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 858 greater than -522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/65819 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 13 = -4*p - 3*a, p = 2*a - 2. Suppose -3*g - 5*s = -533, 0*g - 4*s = -p*g + 668. What are the prime factors of g?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2540696936 to the nearest integer?\nAnswer: 50405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 19*b**2 + 46*b + 8. Let h be c(3). Solve 12 - 4 = h*l, 3*i = l + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d + 10. Let k be l(10). Determine a, given that k*a**2 + 4 - 26*a + 10*a**4 + 14*a**2 - 46*a**3 + 4*a**4 = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 + 3701*x**2 - 2*x**3 - 3701*x**2.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 5)*(10 - 1020\/105). Find l such that 8\/7*l + z*l**3 + 12\/7*l**2 + 2\/7*l**4 + 2\/7 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**6\/15 - 19*r**5\/10 - 95*r**4\/6 + 17*r**3 + 913*r**2. Factor f(c).\nAnswer: 2*(c - 17)*(c + 3)*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/5 (b) 566 (c) 5\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -5000*m + 4996*m + 23, 5*m = 2*s + 20 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -10. Let g = 120\/7 + -17. What is the third smallest value in g, -5, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**5 + 6*g**4.\nAnswer: 2*g**4*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**2\/2 + 12. Let g(w) = -w**3 - 8*w**2 - 8*w - 5. Let h be g(-7). Let m(o) = -2*o**h + 0 + 0 + o**2. Give c(m(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6 + 497*m - 239*m - 257*m. Let d(x) = x - 1. Let f be d(-7). What is n(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -319 or -9863\/31?\nAnswer: -9863\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 767186 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -9*r**4 + 44*r**3 - 121*r**2\/2 - 5545. Factor l(w).\nAnswer: -w*(6*w - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 9*b**3 - 44*b**2 + 2*b + 192. Is q(29) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 1:45 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38.2 - 38. What is r rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**4*t*t)\/(t*t\/(t\/t**2*t)*t))**(2\/15)\/((t**(-2\/13)\/t)\/(t*t\/(t**(-13\/4)\/t*t*t)))**15 assuming t is positive.\nAnswer: t**(63641\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (-1 + sqrt(3))*-6 - ((sqrt(243) - (-2 + sqrt(243)))**2 + sqrt(243)).\nAnswer: -14*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-18) + 10580\/45 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*u + 9460 = -406*u - 240*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*p**2 - 165*p + 18.\nAnswer: 3*(p - 6)*(9*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 38025452, 38025475, 38025498?\n\"Answer: 23*v + 38025429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*2*3*10\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -150 and -70.\nAnswer: 10500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 128 = 52. What is the remainder when n is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -dce (base 16) in base 7?\nAnswer: -13206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express t**4 - 35*t**4 - 18*t**4 + (4*t - 4*t + 2*t**3)*(2 - 2 - 2*t) - 2*t**4 + 0 + 0 in the form o*t**2 + j + z*t**3 + c*t**4 + w*t and give c.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**3\/3 - v**2 + 3*v - 4. Give y(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 441, 1765, 3977, 7083, 11089, 16001?\nAnswer: 21825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/40 and 23\/90.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -895, -3203, -7053, -12445, -19379?\n\"Answer: -771*y**2 + 5*y - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 46846774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -0.4 (b) -2175 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2393*f*z + 881*z - 1 wrt f?\nAnswer: -2393*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 394329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 421.201 * 4\nAnswer: 1684.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 950.447736 seconds in weeks?\nAnswer: 0.0015715075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369015766.\nAnswer: 2, 7, 43, 67, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 - 3 + 3 + (7*l**2 + 13*l**2 + 12*l**2)*(2*l - 2*l - l))*(1 + 1 - 1).\nAnswer: -33*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n**2 + 3*n**2 - 2*n**2)*(-2*n - n + 2*n)*(3*n + 2*n - 4*n) as v*n + z*n**2 + t*n**4 + k*n**3 + g and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 + 166570*c - 166570*c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 7*m - 3*m. Suppose m = 4*o + 33. Let n = o + 9. Solve -n*c - 8 = -c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**4*t**3 + 229*c**4*t**2 - c**3*t - 65*c**2 + 4*c*t**3 - 2*t**3 wrt c.\nAnswer: 24*c*t**3 + 5496*c*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/199116 and -47\/22124?\nAnswer: 199116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/25)*o\/o**14)\/(o**(-1\/5)*o*o**(2\/41)\/o) assuming o is positive.\nAnswer: o**(-13293\/1025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*sqrt(114)\/(sqrt(6)*1) + -5)**2.\nAnswer: -150*sqrt(19) + 4300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-9)*-21)\/(-6). Suppose 370 - 371 = b. Which is greater: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.46 + -231.54. Let d = -230.84 - a. What is the third smallest value in -2\/5, -2\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -27, -9, 81, 273, 597?\n\"Answer: 5*b**3 + 6*b**2 - 35*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 839.3259 days to seconds.\nAnswer: 72517757.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 72, 129, 186?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 q when three letters picked without replacement from waqqwawaaqa.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.08 (b) -2 (c) -0.5 (d) 1337 (e) -5\/7 (f) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.2 and 0.1662?\nAnswer: -2.52624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z - 2*k - 158 = 0, z + 2*k = 58. Let w(c) = -2*c**2 + 40*c - 10. Let l be w(19). Let a = z - l. Calculate the greatest common factor of a and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z - 51. Give n(-17).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*y - 109, 5*y - 6*c + 4*c = 94. Let g be y\/50 + (-1576)\/(-10). Let d = g + -77. Is d a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**10\/453600 + i**8\/60480 + i**5\/30 - 2*i**2. Let a(c) be the third derivative of f(c). Factor a(n).\nAnswer: -n**2*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 t when two letters picked without replacement from {u: 3, p: 3, b: 3, j: 2, t: 5}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2197*j + 87 - 2198*j - 76. Suppose 2*i - 5*i = -5*l + 20, -2*l - 4*i = -34. Let k be f(l). Calculate the greatest common factor of 44 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1046, 1\/3, 2, 201, -0.1, 5 in ascending order.\nAnswer: -0.1, 1\/3, 2, 5, 201, 1046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -156810 divided by -78405?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1325 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1248 - -1206) + (5 - 0).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-1)\/((-6)\/(-56))*279\/186).\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2273 and -0.78?\nAnswer: -1772.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + o**2)*(4*o - 4*o + o) - o**2 - 2317*o**3 - 89*o**3 + o**2.\nAnswer: -2405*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 18, -13535\/169 in increasing order.\nAnswer: -13535\/169, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -244335 + 120?\nAnswer: -244215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -e3f8 (base 16) to base 10\nAnswer: -58360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q - q + q + 8*q**4 + 2 - 2 + 2*q**4 + (-1 + 2 + 0)*(0*q**4 + 0*q**4 - q**4) - 2*q**4 - 3*q**3 + 3*q**3 - 4*q**4 - q**4 + 4*q**4.\nAnswer: 6*q**4 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 118? (a) 171 (b) 241\/3 (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5956371593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*p + 4*n, -3*p - 7 + 38 = -5*n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 344 - 348. Let t = 0.7 - 0.6. Which is the third biggest value? (a) t (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 4*a + a)*(1 - 1 + a) + (a + 3*a - 2*a)*(-a + 3 - 3) - 2*a**2 + 0*a + 0*a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 1. Let j be l(5). Suppose 2*u = 4*c + 14, -23 = -4*u + j*c - 3*c. Suppose -u*q + 39 = w, 0 = 4*w - 7*q + 2*q - 56. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-2 - (45 + (-5 - -1)) - 10)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**3*x**4 + 305*l**3*x**2 - 959*l**3 - 6 wrt x.\nAnswer: -4*l**3*x**3 + 610*l**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -4. Let i(q) = -8 + 4 + 2*q + m*q - 2*q. Let l(p) = -126649 + 126651 - 22*p + 21*p. Calculate -3*i(z) - 7*l(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 980 a factor of 10714340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514314 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-14)*-189*(-23)\/14076\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.009 - -0.032. Let y = 484.723 + -487.7. Let f = m - y. Which is the fourth biggest value? (a) f (b) -0.5 (c) -4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from {p: 1, d: 4, t: 2, s: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -4*l + 55 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4*f**2\/5 - 216204*f\/5 + 13420024\/5 = 0?\nAnswer: -54113, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, v: 1, q: 1, m: 2}. What is prob of picking 2 q and 1 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4763 + -52?\nAnswer: 4711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/348 and -1\/290.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10638213901 take away -82943?\nAnswer: 10638296844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + 20*i + 51. Let z be j(-6). Suppose 16*u - 20*u**3 - 24*u + 3*u**4 - u**z + 48*u**2 - 28*u = 0. Calculate u.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 7*l - 2*l. Solve l*u - 5 = n, n - 1 + 6 = 2*u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*-4)\/((sqrt(144)*2 - sqrt(144))\/sqrt(12)) + -2*sqrt(10)\/sqrt(5) + ((sqrt(98)*-2)**2 - sqrt(98)) + 4.\nAnswer: -25*sqrt(2) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/6*9\/(-2). Let x(f) be the first derivative of -f**3\/3 - 15*f**2\/2 + 3*f - 7. Let d be x(r). Solve 4*g = d*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.19782982 and 0.45.\nAnswer: 0.089023419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22264 is divided by 3179.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -61631 - -4?\nAnswer: -61624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 d, and 1 v when three letters picked without replacement from {p: 1, o: 1, s: 1, v: 3, d: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 94.14 + -95.14. Sort 5, -2, 179, h, -0.5 in descending order.\nAnswer: 179, 5, -0.5, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/2 - (4 + 89). Is m\/(-4) - 1\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -8*u - 1. Let n = 4 + 0. Let d be c(n). Let q be (d\/22)\/((-3)\/(-1120)). What is q rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -9*t - 14. Let v be k(-4). Calculate the remainder when 87 is divided by 0 + 4\/22 + 392\/v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 59 + 8 = 14*k. Let l(w) be the first derivative of 2*w**5 + 5*w**2 + 5 + 1\/3*w**6 + 2*w + 20\/3*w**3 + 5*w**k. Find y such that l(y) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 223 (base 4) to base 7\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 6*l. Let o be u(6). Let q(r) = r**2 - 3*r - 4. Let i be q(4). Let s be (-3)\/(-4)*(1 + 11). Solve o = -i*c - 3*c + s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 - 53. Suppose 2*o - o - n = 0. Solve p = -4, 5*p = a + 2*a - o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 6) in base 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**2 - 8815844*w + 9714888179042 = 0.\nAnswer: 2203961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 + 0*f**4 - 2*f**4 + (-2*f + 0 + 0)*(-2943*f**2 - 915*f**3 + 2943*f**2).\nAnswer: 1827*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 486*t = 482*t + 32, 24 = 2*f + 4*t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -13. Let v = 0.06 - 0.36. Which is the second biggest value? (a) v (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*i - i - i)*(4 - 3 + 1) + 2*i + 2 - 2 + 1211 - 49*i - 1211)*(-3*i + 3*i - 3*i**2).\nAnswer: 153*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 725 = -35*u for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1176\/986449 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**4\/12 + 5*q**3\/2 + 29*q**2 - 41*q. Let j be h(-7). Solve -3*f = 2*v - 17, 4*v + 5*f - 27 = j*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -723690 to the nearest one thousand.\nAnswer: -724000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 569 in 1\/7, 2\/5, -11\/4410?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g - 116*g**2 - 118*g**2 + 225*g**2 to n*g + o*g**2 + z and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-20\/3))\/c**(-35))**(-1\/71) assuming c is positive.\nAnswer: c**(-88\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, s: 3}. What is prob of sequence sss?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2207479.32 rounded to the nearest 10000?\nAnswer: -2210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 8*h + q - 144906, 2*q + 72458 = h. Calculate the highest common divisor of h and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.348. Let n = 1.002 + u. What is n rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -47*p - 18 + 19*p**2 - 20 + 7*p**2 + 39. What are the prime factors of t(-5)?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {b: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 231154?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x + 1 - 2*x)*(18*x - 18*x - 3*x**4 + x**4 + x**2 - x**2 + (3*x**3 - x**3 - 4*x**3)*(x - 2*x + 0*x) + 2*x**4 + 3*x - 3*x).\nAnswer: -6*x**5 + 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + 0.3. Let b = -2.015 - -0.015. What is the nearest to 0 in q, b, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3689767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + -2 + (4 - 2). Let s(y) be the first derivative of y**2\/2 - 5*y - 5. Let p be s(v). Solve 0 = -5*c + p + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 288004\/35 - 42972\/5. Let o = f + 366. What is the nearest to 1 in -2, -9, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444921331 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8109 is divided by 612.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s = 16. Let i = s + 28. Calculate the remainder when 45 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 1\/6 (c) 0.2 (d) -29.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*b = 7, -5*b - 10 = 15. Suppose -2*m + 1 = 9, 80 = d*z + 2*m. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 1 = -h - 4*f, 0 = -4*h + 3*f - 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -26 - 757963.2802\nAnswer: -757989.2802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 567*w - 9 = -569*w, -4*x = -2*w + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7202082841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/3 (b) -3 (c) -5313861\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -30) + -22 - 18?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26604, -52971, -78848, -103989, -128148, -151079?\nAnswer: -172536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41595928 divided by -2.\nAnswer: 20797964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/7 (b) -1\/4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 10010111101000101001001?\nAnswer: -10010111101000101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.3 - -0.3. Let c = -1.11 - -0.31. Which is smaller: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12998*z**2 - 33232*z**2 - 11944*z**2.\nAnswer: -32178*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -686*j + 687*j + 3 = 0. Put -31, -4, j, 2 in ascending order.\nAnswer: -31, -4, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*sqrt(2048) + sqrt(2048) + -3 + -2)**2 + -5).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9477240, 18954428, 28431616, 37908804, 47385992, 56863180?\n\"Answer: 9477188*p + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -u + 5*p, 12 = -2*u - p + 17 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w**4\/5 - 46*w**3\/5 + 52*w**2\/5 - 8*w\/5 = 0.\nAnswer: 0, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - v + 6*v - 19, -2*v = 2*o - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1*sqrt(84)*-5)\/(sqrt(768)*-2 + sqrt(768)) - ((sqrt(7) + sqrt(175))**2 + -4 - (sqrt(35)\/sqrt(405))**2)).\nAnswer: -15*sqrt(7)\/8 + 20081\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10549 + 10549 - 3*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2405 + -1101. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*z**2 - 68*z**2 - 61*z**2 + 339*z**2 - 68*z**2 - 63*z**2.\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28)\/(-8)*(24\/(-21))\/(-1). Differentiate 93 + 93*q**g - 131*q**4 - 63*q**4 wrt q.\nAnswer: -404*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41129317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 26582722 + -6619\nAnswer: 26576103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + 6*(sqrt(612)*2 + sqrt(612))**2 + (-2*sqrt(612) + -4)**2 + (((sqrt(612) - sqrt(612)*-1) + 0)**2 - (3*sqrt(612)*-1)**2).\nAnswer: 102*sqrt(17) + 32452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 942 or 944?\nAnswer: 944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 7*y + 15 = 4*y, -5*q = 2*y + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1414, 5684, 12802, 22768?\nAnswer: 35582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*f - 35, 4*f - 4*n = -3*n + 25. Let l(w) = -w**2. Let g(p) = -p**2. What is f*l(u) - 6*g(u)?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4901 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {v: 11, o: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -21. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21605470 - -8\nAnswer: -21605462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4408 - 4342. Calculate the highest common factor of v and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 3*t - 7. Let p(g) = 3*g - 6. Let b = 2430 - 2425. Calculate b*p(w) - 4*q(w).\nAnswer: 4*w**2 + 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7.5 times 0.4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -333.18*-0.5\nAnswer: 166.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 - -0.68. Let y be (-2)\/(-5) + 13\/5. Let u be (-297)\/132*28\/(-189). Sort d, y, u in descending order.\nAnswer: y, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j + 2. Suppose -4*o = -9*o - 20. Let m be b(o). Let a be (m\/(-6))\/((-1)\/3). Let p(t) = -t**3 - 6*t**2 - 7*t - 4. What is p(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 136530.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1836 + 66*o - 1836 - 62*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of ((-56)\/(-35))\/((-36)\/(-4680))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**2*t)**28)**(8\/7) assuming t is positive.\nAnswer: t**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8675233.\nAnswer: 7, 1239319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85 and 2?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**11*h**30*h**(-2\/93)\/h**(-12\/5) assuming h is positive.\nAnswer: h**(20171\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 233766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01914 + 2.01914. Does d = 0.0118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2\/15*o**3 + 8\/5*o**2 + 88\/15*o + 32\/5 = 0.\nAnswer: -6, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4314 less than -1.04?\nAnswer: -0.6086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10.32 in -2\/7, -336, 9, 0, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 994\/1156065?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*h = 23*h - 18*h + 675 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(-5 + 12\/3). Suppose -3*u - 4*k = -2*u - 17, u + d*k = 16. Suppose 0 = u*c - 16*c + 3240000. Round c to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(458 - 473)\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144 - -9)*25232\/26809?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/6787884?\nAnswer: -1\/6787884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 4. Let y(n) = -2*n**2 - n + 6. Let g be y(-4). What is the units digit of (m + 0)\/(11\/g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 9*c + 142. Give m(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-9)*(-15 + 12). Suppose 5*h - 18 = -z*h. Solve -k = -0 + h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**7\/7 + 5*n**6 - 22*n**3\/3 + 2*n - 96. What is the third derivative of r(y) wrt y?\nAnswer: -120*y**3 + 1800*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 - -68. Suppose 2016 = 7*d + q*d. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 647663868.\nAnswer: 2, 3, 19, 946877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8425665 is divided by 1054.\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -1\/2, 944 in decreasing order.\nAnswer: 944, -2\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 1 = 10*k, 3*r + 3*k - 9 = 0. Solve -5*d + 0*d = 2*m - 18, 14 = 2*m + r*d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11763828.\nAnswer: 2, 3, 326773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62*l**3 - 196*l**3 - 2*l**2 + 703*l - 93*l**5 + 258*l**3 wrt l.\nAnswer: -1860*l**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + (1 - 19) + 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5394 + -5374. Suppose 0 = -2*f - 0*f. Solve f = b + 4*b + s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 632 + -628. Suppose -3132 = -4*h - o*x, -5*h - 4*x = -115 - 3804. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 378 and 54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -11021?\nAnswer: -11102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/8 + 2\/8. Let p(j) be the second derivative of 1\/2*j**3 - 21*j + 0*j**2 + 0 + 1\/4*j**4. What is p(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2931291*c**2*q + 131453*c*q - 9*c wrt c?\nAnswer: 5862582*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 30. Let t = 66 - 64. Which is the closest to t? (a) -5 (b) 3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64139 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: Calculate the highest common factor of 181227 and 386.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00136198 rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 5 (c) -7\/6 (d) 0.0037 (e) 0.2 (f) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1895936 divided by 2\nAnswer: -947968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10490087 less than -6378108?\nAnswer: -6378108.10490087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(-18) + 3 - (-7)\/(-36)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -9*f + 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5117205071?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 3*g - 55 = -35, -g = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -1\/12*s**4 + 0*s**3 + 1\/60*s**5 + 0*s + s**2 + 0. Let z be u(2). Put 0.1, z, 1 in ascending order.\nAnswer: z, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3735119 bigger than -3735120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5720 and 10400.\nAnswer: 114400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -8, -4, -1.\nAnswer: -8, -4, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, 5, -4, -36, 1, 6 in increasing order.\nAnswer: -36, -10, -4, -1, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(156) - (sqrt(156) + 1*sqrt(156)*-6)))\/(((sqrt(216) + 1*sqrt(216) + sqrt(216))\/sqrt(6))\/sqrt(3)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -3.8646?\nAnswer: 0.1354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - 6218?\nAnswer: -6208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -130.893359212752 - -3.091212639452. Let z = -2.8021456633 - j. Let l = 125 - z. What is l rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and -59?\nAnswer: -47.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/85021325 at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 195*o**2 - 1585*o + 100. Let q(w) = 65*w**2 - 528*w + 34. Let c(j) = -3*h(j) + 10*q(j). Factor c(t).\nAnswer: 5*(t - 8)*(13*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j**4 + 516*j**3 + 4182*j**2 - 6676*j + 1968 = 0. What is j?\nAnswer: -41, -12, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 22*x + 125. What is l(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j + 9*j = 230 + 2746. Calculate the remainder when 860 is divided by j.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 + 3. Let b(j) = 4*j**2 - 5. Let c = -5854 + 5851. Let w = 43 + -21. Let x be w\/(-4) - 2\/(-4). What is c*b(f) + x*l(f)?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 9*w**2 + 9*w + 3. Suppose -272 = -19*t - 15*t. Give j(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - (0 - (3 - 1))) + -10 + 126 + -121\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7245 and 97405.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106 and 6254?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204 = 578*d - 20026 for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30502880161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162249661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tab when three letters picked without replacement from {l: 1, c: 5, t: 3, a: 3, x: 1, b: 1}?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 38*a**2 - 23 - 36*a**2 + 76*a**2 as c*a + x + t*a**2 and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12*-1824416\nAnswer: -21892992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 39, 13, -33, -105, -209?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 270796.\nAnswer: -1\/270796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 100 * -34.3.\nAnswer: -3430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4708 + -4149.6. What is j rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 10854.\nAnswer: -13\/10854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1212380*r - 1212427*r - 1903 = 1857 for r.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7*q + 7*q + 8*q)*(-2 - 2 + 6) + 4 + q - 4)*(-1 + 3 - 1) + (-q - 2*q - 2*q)*(-3 + 7 - 2) + 6*q - 2*q - 3*q + (0 - 2 + 3)*(-4*q + 4*q + 2*q).\nAnswer: 38*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 10. Let r be h(-7). Suppose 4*s = -r*d + 35, 2*s = 3*d + 12 + 1. Calculate the remainder when 15 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 409*k**2. Let l(y) = 53778*y. Calculate l(f(r)).\nAnswer: 21995202*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3444 - 121?\nAnswer: 3323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 16 = 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 0*n + 0 + 0*n**3 + n**2 - 1\/4*n**4 - 3\/20*n**5 - 1\/40*n**6. Suppose h(s) = 0. What is s?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 18*q**2 + q + 14. Let d(y) = -12 + 2 + 0 - 8 - y**2. Let z be d(0). Let f be o(z). Which is the nearest to -1? (a) -12 (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -162713, -164501, -167479, -171647?\n\"Answer: -595*n**2 - 3*n - 162115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 23 - 15 = 0. Let v be 42\/q + (-3)\/(-12). Is 237\/2 - v\/10 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -m + 965, 2*m + 25*h = 26*h + 1970. Let t(c) = 67*c**2 - 1. What is the remainder when m is divided by t(1)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) 11 (c) 2 (d) -2\/11 (e) 9\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*y - y, 3*y + 10 = -4*o. Let n = 3 + -1. Calculate the least common multiple of -1*(-3 - (4 + o)) and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4284.738 centuries in millennia?\nAnswer: 428.4738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*l + 3*p - 156, 227 = 3*l + p. Let j = 145 - l. Calculate the highest common divisor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 66*f + 1654. Calculate h(-24).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - -4. Let a = -223 + 243. What is the greatest common factor of a and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118647899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 346 + 1570. Let m = 342 - c. Calculate the remainder when 353 is divided by m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360834119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 791302500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2792 or -5471\/5?\nAnswer: -5471\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 5*g + 15. Calculate u(-9).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 77*l**5 - 410*l + 410*l + (l - l + 2*l**2)*(-3*l**3 - 2*l**3 + 3*l**3) - 3*l**3 - l**5 + 3*l**3.\nAnswer: 72*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (-5 + 1*sqrt(3)))*5 + sqrt(33)\/((sqrt(44)\/sqrt(4) - sqrt(11) - sqrt(11))*2).\nAnswer: -sqrt(3)\/2 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -13*j**5\/60 + 92*j**2 - 3*j - 3. Let q(s) = -11*s - 7. Give o(q(a)).\nAnswer: -1573*a**2 - 2002*a - 637","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 7\/193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 190163.4 - 190163.1917207. Let b = 1.2083023 - s. Let x = b - 1. What is x rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 253\/2 in 5, 92, 4, 13, -2\/5, 0.08?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -46*v**3 + 3*v**2 - 5*v - 7. Is q(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-2))\/(6\/(-12)). Let x be 72\/30*560\/(-9). Let b = x - -151. Which is smaller: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*g*r*z**3 + 120*g*r*z + g*z - 5*g - 6021*r*z**3 - r*z**2 + z**2 + z - 4 wrt z?\nAnswer: 30*g*r*z - 36126*r*z - 2*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 78a + 110?\nAnswer: 89a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 6*v**2 + 1. Give t(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15451 (base 8) in base 2?\nAnswer: 1101100101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n + 84. Let a(g) = g + 28. Let l(w) = 7*a(w) - 2*y(w). Let s be l(12). Let t = 67 - s. Solve -x + 15 = -2*m, t*m + 4*x = 8*x - 35 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - 4)*(1 - 18). Let w = 24 + j. Let o(t) = t - 3. Is o(w) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = 4, -183 = -5*x - 2*q. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01969 rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + -54 + 50 + -29 + 1.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 4*q - 23. Is 35622\/12*q*4\/(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i + 175 = -46*i + 76*i for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20b89 + 5?\nAnswer: -20b84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 508790776 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -221*d*w**2 + 180945*d*w + 338*w**2 + 5*w - 367 wrt d.\nAnswer: -221*w**2 + 180945*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - 15. Calculate the highest common divisor of d and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -4. Suppose -5*b = -d*b - 70. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -12.3688491.\nAnswer: -13.3688491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29859030.\nAnswer: 2, 3, 5, 191, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 14 - 42. Suppose 5*u - u = -8, 0 = 3*j - u - h. Suppose -j*m = -7*m. Solve -3*w = -4*z - 1 + 16, m = -5*w - 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {v: 2, e: 2, m: 1, q: 1, f: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -228 (base 10) to base 8\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8587 (base 13) to base 9.\nAnswer: 27371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s + 0*s - 5*s. Let a(g) be the first derivative of g**2 + 25. Give j(a(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97513*d**4 + 61997*d**2?\nAnswer: 2340312*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4990, -5015, -5040, -5065, -5090?\nAnswer: -5115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.0372066.\nAnswer: 0.0186033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2930234*q**4 + 182*q**2 - q + 1162 wrt q.\nAnswer: -70325616*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) 0 (b) -98 (c) -0.1 (d) -3\/5 (e) -2.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 51.\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 1 - 7. Let p be t + (3 - -1) + 3. Solve 5*k + p = -0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.548042 centuries in millennia?\nAnswer: 0.9548042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.533777 millilitres to litres.\nAnswer: 0.002533777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 88100 = 43*u - 683596. List the prime factors of u.\nAnswer: 2, 23, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 0\/((4 - 3)*2). Suppose y + 5*j - 43 - 58 = 0, -5*y - j + 481 = f. Is y a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/13)*u)\/u)\/(u*u**14) assuming u is positive.\nAnswer: u**(-196\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11940868 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - (0 + sqrt(128))) + sqrt(2) + sqrt(384)\/sqrt(12) + sqrt(2) + 3*(-1 + sqrt(8)) + 3.\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i - 51. Give j(-19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from {w: 13, i: 6}.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b = 0. Suppose 2*a + b*f + 50 = -f, 2*f + 124 = -5*a. List the prime factors of 4\/((a\/15)\/(-4)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-42))\/(1\/(-2)). Suppose 0 = 29*p + 167 - 51. Which is the second smallest value? (a) -3\/2 (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -18, -2 in increasing order.\nAnswer: -18, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z. Let l be -3*500*1\/(-2). Suppose -5*g - 2*u = -l, -3*u - 750 = -5*g - 6*u. Let m(j) = 75*j + 72*j - g*j. Determine m(v(d)).\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/5800*860 + -9 + 2 + -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9348*h + 11074*h = 55232 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-508368)\/294)\/136)\/((2\/42)\/((-7)\/21))\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1069729 is divided by 40?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p = 4. Calculate the greatest common divisor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.6 + 4.4. Let a = g + -21. Suppose 2*z - 7 = -3*w, -3*z = -2*z - 5*w + 16. What is the smallest value in a, z, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.286571l in millilitres?\nAnswer: 2286.571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k + 16. Let u be y(-10). Let m = 1259\/2 - 3779\/6. Let w = -0.05 + -0.35. Which is the nearest to -2\/5? (a) u (b) w (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -723724 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**2\/3 + 154*s - 15580\/3 = 0. What is s?\nAnswer: 41, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1356537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.047 or 16\/8027?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 783 and 10335339.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-3) + 16 + -2. Suppose -x = x + 2. Put z, -4, 3, x in increasing order.\nAnswer: -4, x, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66285*n*s**3*y - n*s**3 + n*s*y + 6652*n*s - 72*s**3*y - s*y - 2*s + 5*y + 16 wrt s?\nAnswer: 397710*n*s*y - 6*n*s - 432*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/3, -2\/7, -24\/55, -0.16 in decreasing order.\nAnswer: 5, -0.16, -2\/7, -24\/55, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-9))\/((3\/(-3))\/(-9)). Solve -4*t - i*r + 11 = 2, -2*t - 4*r + 12 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from uyqycycqcuucycqcu?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, 4, 1, -7, -0.11 in increasing order.\nAnswer: -7, -0.11, 0.11, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 4. Let g = 25 + -28. Which is the biggest value? (a) n (b) -2\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2568 is divided by 99.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-58)*426\/2556*-2.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-372)\/(-682)*22\/18.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -4*a + 77, 0 = 2*a + 691*s - 693*s - 40 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1352*k**2\/15 - 14456*k\/5 - 115926\/5.\nAnswer: -2*(26*k + 417)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 3*s**2 + 5*s - 2. Suppose -3*h = -0*p - 4*p + 8, 2*p - 22 = -3*h. Suppose 0 = p*u - u - 16. Give f(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 603520000 divided by 64.\nAnswer: 9430000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -47, -92, -141, -194?\n\"Answer: -2*i**2 - 39*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2537564.\nAnswer: 2, 19, 173, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 7*c**2 + 15*c + 25. Let t be o(-2). Solve -t*u + 58 + 17 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 90*c - 3104553 - 3962770 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29635\/21 - 1410. Which is bigger: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252 and 354924?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*z = 19*z + 15*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -520 or 2\/5?\nAnswer: -520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(176) + -3 + -1 + sqrt(11)*2 + 2*sqrt(11)*2 + sqrt(11) + 0 + 1 + (sqrt(33) - (sqrt(33) + sqrt(33)*2))\/sqrt(3)*-6.\nAnswer: -3 + 31*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 492 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200572489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*a + 11244 = 1224*a - 197*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -7. Suppose -g + 2 = -l. Suppose g*i - 288 = -3*t, 3*i + 94 = t + 4*i. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31243437 is divided by 509.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 17\/8745 (b) -801 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5 = -3*n, -5*h - 3*n + 13 = -3*h. Let w(y) = -h*y - 2 - 1 + 5. Let k be w(-3). Solve 0 = g + 3, 5*o + 0*g + k = -g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 7. Let l = d + -1. What is the closest to 1 in 1\/9, -2\/15, l?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 2. Suppose 7 = s + g, 0 = 3*s + 5*g - x - 23. What is the second derivative of 0*u + 4*u**5 + u**5 - 11*u - u**s wrt u?\nAnswer: 80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 16 = 3*o. Suppose o*a = -3 - 21. Let w be ((-15)\/a)\/(3\/(-6)). What is the third biggest value in w, -1, 4\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58929 and 32755458?\nAnswer: 4533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 + 3*n**2 + 4*n - 1. Determine y(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 3452, 77, 6 in descending order.\nAnswer: 3452, 77, 6, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14\/19 - -47\/38. Which is the closest to 2? (a) m (b) 2 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*(u*u*u*u\/(u\/(u\/(u\/(u**15\/u)))*u)*u)\/u)*u)**(-4\/9)\/(u**4*u*u*u*u*u*u*u**(-6)*u) assuming u is positive.\nAnswer: u**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*j**4 - 87*j**3 + 72*j**2 + 108*j.\nAnswer: 3*j*(j - 6)*(j - 2)*(4*j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 732, 1464, 2198, 2934, 3672, 4412?\n\"Answer: y**2 + 729*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 + 524\/(-60) - (-1)\/3. Let h be 1*(-5)\/((-15)\/6). Let y be (-2)\/4*(4 - h). What is the second biggest value in v, 2\/21, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 10, z: 2, v: 4}. What is prob of picking 1 z and 2 i?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/2 and ((-164)\/(-110))\/((-4)\/(40\/6)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + -22. Let a(k) = -27*k**3 + 41*k + 40. Calculate the remainder when a(-1) is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4314151 + 820.\nAnswer: -4313331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1904, 13, 6 in descending order.\nAnswer: 1904, 13, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 67 - 11. Is (182\/a)\/((-1)\/(-3)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -176\/9 + 164\/9. Let u(t) = -t**2 + 5*t + 5. Let a be u(6). Which is smaller: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*h**2*l**2 + 242*h**2*l - 4*h**2 - 2146*l**2 - 3*l + 2 wrt h.\nAnswer: 12*h*l**2 + 484*h*l - 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 38 = 2*l, 0 = s - 0*s + l - 13. Solve 0 = 2*t + 4 - s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 270.205 - 270. Let m = l - 0.20573. Round m to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9335760 divided by -22228\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2098990*20\nAnswer: 41979800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*(-5 + (sqrt(567) - sqrt(567)*1))**2 + -5 + -1 + -2.\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1.24, 3, -7?\nAnswer: -1.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 64*b**2 + b + 33*b**2 + 45*b**3 + 30*b**2 + 30*b**3 in the form x*b**2 + l + j*b**3 + h*b and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - -42 - (-15 + -13).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z + 234 = 350. Suppose 5*i - 284 = -z*n, 28*n - 1 = 27*n. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 1416910?\nAnswer: 9918370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 901752 at most -558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*c**3*s**5 + c**3*s + c**2*s**5 - 3*c*s - 6 wrt s?\nAnswer: 260*c**3*s**3 + 20*c**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/23, 3, 0.2, 29?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p\/((p\/(p**(3\/4)*p))\/p)*p*p))\/p*p**8)\/(p**(-2\/19))**27 assuming p is positive.\nAnswer: p**(387\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1226 (base 10) to base 13\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 610428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*t + 59*t + 1048 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -10. Suppose 3*v - 3 - 30 = -r*q, -4*q = -v - 64. Let w = 6 + -3. Solve 3*n - 4*c + 0*c - 15 = 0, w*n + 5*c - q = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afaaj. What is prob of picking 1 j and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 - 55. Let b(s) = 9*s**3 - s**2 - 5*s + 12. Is b(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from biiib. What is prob of picking 2 i and 1 b?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xna when three letters picked without replacement from zaxnnazaa?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 0 + v**2 - 1\/4*v**5 + 0*v - 1\/6*v**3 - 1\/12*v**4. Suppose -96*n - 243 + 147 = 0. What is d(n)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-81)\/(38880\/1792) - (2 + (-3)\/9))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -3\/305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -23147598320613?\nAnswer: -23147598320610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149479 is divided by 1712.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 29 and -4.7.\nAnswer: 24.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 6*u**2 + u - 4. Let h be y(6). Suppose h*i = -3*i + 20. Find the third derivative of -g**4 - g**2 + g**i - 2*g**4 + 0*g**2 wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128 and 9?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 3, -31, 5 in decreasing order.\nAnswer: 26, 5, 3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43)\/(602\/(-168)) + -11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0.3. Which is the second biggest value? (a) -7 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/37960 and 23\/56940.\nAnswer: 113880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v*v\/v**(-3\/2)*v))\/v)\/v**(7\/6)*v*v\/(v*v**(-2\/11))*v**(2\/53)\/v)**35)**(-4\/3) assuming v is positive.\nAnswer: v**(1333780\/5247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2) - (1240\/93 + -14)*(-51)\/(-4)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = o - 3*a - 6, 0 = -5*o - a - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*q - 3. List the prime factors of 3\/q + -2 + 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23113200 - 3?\nAnswer: -23113203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 124.\nAnswer: 5\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 2*h - 37, -h = -45*p + 32*p - 381 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/6*681\/1135*(-10)\/52.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**3\/2 - 27*i**2\/2 - 45*i. Let k be f(11). Suppose -20*l = -21*l + k. What is the greatest common factor of 66 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 25*z + 6. Let s(c) = 480*c + 114. Calculate -78*r(d) + 4*s(d).\nAnswer: -30*d - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 69091.6 centimeters in kilometers?\nAnswer: 0.690916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6e7e (base 15) to base 2\nAnswer: -101101111011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(624\/4278) + (-4)\/(-26). Suppose 28 = a + u. Which is bigger: -28 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.7 - -140027256570.\nAnswer: 140027256586.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r - 29*r + 10*r)*(15*r**3 + 7 - 7) + (5*r**2 - r**2 - 2*r**2)*(3*r**2 - r**2 - 4*r**2).\nAnswer: -379*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**5 + 227*y**4 + 2*y**3 - y**2 + 507*y - 11 wrt y.\nAnswer: 120*y**2 + 5448*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**2\/13 - 696*l\/13 + 471960\/13 = 0?\nAnswer: -690, 342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -2\/19 (c) -1\/2 (d) 627\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2230203131000 + -3?\nAnswer: -2230203131003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7097*g - 2*g**2 - 7208*g - g**2)*(-2*g + 2*g + g).\nAnswer: -3*g**3 - 111*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 + 44*x - 63. Let w be n(20). Suppose 0 = 3*s + 3*a - 6, 4*a - 9 = s - 6*s. Does 5 divide w - (1 + -1 + s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-8))\/((-189)\/(-504))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 96462796 a multiple of 1709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**5 + 2*x**5 - 2*x**5)*(-2 + 0 - 1) + ((-x + 1 - 1)*(2*x + 0*x - x) + 30*x - 30*x + 38*x**2)*(-16*x + 16*x + 2*x**3).\nAnswer: 68*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d**3 - 3*d**3 - 2147*d + 2150*d - 2*d**2 - 2. Let s(r) = 57*r**3 + 15*r**2 - 21*r + 15. Determine -15*b(c) - 2*s(c).\nAnswer: 6*c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 14 = -v + 4*h, 0 = 89*v - 78*v + 5*h - 76 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/4 < -2220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12996*o - 63192 wrt o.\nAnswer: 12996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-12) - 1491\/(-882)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, s: 2, k: 1, g: 10}. Give prob of sequence sgs.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 213017309496753 plus 0.4?\nAnswer: 213017309496753.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 4. Let y(m) = -3*m - 6. Let g(l) = 3*s(l) - 2*y(l). Let k(c) = c**2 + 2*c**2 - 7*c**2. Determine g(k(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-817)\/38 + (-174 - 10)\/(-8)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366*z + 364*z + 8000 = 0. Suppose 7*l - 2741 - z = 0. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191 less than or equal to 1190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1407 - 95. List the prime factors of a.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18002930 by -2683.\nAnswer: -6710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b. Let g(z) = 19*z - 19. Let p(j) = -1. Let r(v) = -g(v) + 19*p(v). Let n(a) = 6*r(a) + 22*s(a). Let l(h) = 2 + 0*h - h - 2. What is n(l(q))?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34834 + 34838. Solve 26 - 34 = -2*d - y*q, -d - 4*q + 10 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j. Let v(b) = -14*b + 14. Let q be (-1 - 3\/(-21))\/((-66)\/308). Let n(h) = -7*h + 8. Let p(l) = q*v(l) - 7*n(l). Calculate p(f(x)).\nAnswer: -21*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 14) to base 2\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((11 - 11) + (3 - -7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1. Suppose 4*z - 3*v - 8 = -z, -3*z - d*v + 20 = 0. Suppose -z*k - 18 = -6*k. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-1))\/(1\/98). Suppose 4*q + 2*a = a + 75, 5*q - y = 3*a. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 3*8\/(-72)*-264.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t - 5. Let o(s) be the third derivative of -1\/12*s**5 + 1\/120*s**6 + 0*s - 1\/6*s**3 + 0 - 5\/24*s**4 - 7*s**2. Let d be o(6). Give i(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/856 and -107\/10.\nAnswer: 4280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11891 + 95*n - 11891.\nAnswer: 95*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 1 + z**2 - 1. Let n(o) = -46 + 23 + 2*o + 23. What is n(l(x))?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.82 - 0.18. Let q(m) = 2*m**2 + m - 2. Let g be q(-2). Suppose -g*l = 12 + 8. Which is the closest to x? (a) l (b) 5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 6*o + 20. Let s be 0 - (4 + -20 + 2)\/1. Suppose -8*y + y = -s. Solve -3*x - y + o = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kki when three letters picked without replacement from izkiiiikilzikiii.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -791*q**2 - 576*q**2 + 1883*q**2 - 520*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -134936, -269866, -404796, -539726, -674656, -809586?\n\"Answer: -134930*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 22*z**2 - 31*z - 60. Let s be i(-21). Suppose k - s = -149. Solve 2*g + k = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1862 - 1736 = 0. What is the highest common divisor of p and 3150?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 395*b + 993. Is m(44) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b - 1 + 259*b**2 - 82*b**2 - 1 - 87*b**2 - 85*b**2 to the form l + z*b + p*b**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 2232?\nAnswer: 15624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/10*10\/3. Suppose -n*p + p = -3. Suppose 10 = i + 2*b, -3*b + 61 = 4*i + p. Solve 2*q = -3*l - i, 4*q + 3*l - 7*l - 4 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 291976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 7 - -3)*1*(-34)\/255.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2\/11 (b) -3\/7 (c) -5 (d) -0.2 (e) 0.119107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -259*u**4 - 1 + u**6 + 1 + 6972*u**2 + 247*u**4 - 21*u**6 wrt u.\nAnswer: -2400*u**3 - 288*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12983606 divided by -418826\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12871949 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106563569?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**5 + 0*m**5 - 2*m**5 + (2*m**3 - 2*m**3 - m**5)*(3 + 0 - 5) - m**4 + m**4 + 3*m**5 - 4*m**3 + 4*m**3 - 5*m**5.\nAnswer: -m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 e when three letters picked without replacement from eeeemeeeeeeee.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.211? (a) 3 (b) -96\/29 (c) -2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17434678*o**2 + 3858044*o + 11.\nAnswer: 34869356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -188\/7 or -28?\nAnswer: -188\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**2 + 3*i + 5. Let l(t) = -2*t**2 + 2*t + 5. Give -4*a(z) + 5*l(z).\nAnswer: 2*z**2 - 2*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44413888.\nAnswer: 2, 693967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.48, 496, -2\/9, 2\/9, -0.3, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/672 and 43\/264.\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 17 (b) 2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0605 to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + z. Let m be p(-6). Let g be 53\/5 - 3*(-4)\/m. Solve 4*h = -g - 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 7:22 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 592965157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-2 - (-5 + (-10 - -18))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3446454.23 rounded to the nearest 100?\nAnswer: 3446500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -16*g - g**2 + 38 - 14*g**2 - 3*g**2 + 17*g**2. What is i(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 9, 38, 79, 132, 197, 274?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 363*n**2 - 746*n**2 - 438*n**2 in the form u + p*n**2 + k*n and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 74000844 divided by -268119?\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*b = 4, 5*b = -a - a + 2. Let y = 0.6 + -0.2. What is the second smallest value in y, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1738676 (base 11) to base 7.\nAnswer: 34053054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -10*t + 9735. Is (-11)\/6 + 2 - t\/(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 115 = -11*f + 5 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 + 79. Let x = 4 + -2. Suppose -5*p + 2*s + 76 = 0, -p + x*s - 8 = -2*p. What is the least common multiple of p and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 523f - e7a8?\nAnswer: -9569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 186 = 2*l, 0 = -2*i + 5*i + 3*l - 144. What is the greatest common factor of 1665 and i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 + 60. Solve -n - 5 = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*2*2\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + (-4)\/2)*-6. Let h be (u\/(-10))\/(2\/(-10)). Suppose -179 = -h*s + 46. What is the greatest common divisor of 30 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**4 - t**3 + 5*t**2 - 3*t = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 28 + 7 = 0. Let w be (0 - 12)*s*2\/3. Solve 1 = -3*k - 2*u - 6, 4*k + w = 5*u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 98596\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 16888*c - 16885*c + 39 = 0, 9 = -4*r + 3*c for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*m + 294, -3*m - 4*x + 0*x = -308. Calculate the remainder when 260 is divided by m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d + 5*d + d. Do 5\/53 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150, 196, 242, 288, 334, 380?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 6:58 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335*y = -733665 - 1324575. What is the thousands digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + 1 + sqrt(56)\/sqrt(8) + sqrt(7) + sqrt(7) + -1*sqrt(35)\/sqrt(5) + -1 + 2 + sqrt(112)\/sqrt(4).\nAnswer: 2 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 8 = -4*a - 24, -5*y + 3*a - 20 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005601 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, y: 10, f: 1}. Give prob of sequence jfyf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + 98\/34 + 8\/68. Let s be (-2)\/13 + j\/65 - -570. Calculate the highest common divisor of s and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4 + 19 = 4*o, 4*z + 2*o - 20 = 0. Suppose 0 = -z*r + 128 + 77. Is r\/2*(-52)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4 = 4*l, -4*l - 5*g = -0*g + 20. Suppose 0 = q + 2*b - 6 + 2, q + 31 = 5*b. Let r be 3\/52*q\/(-9). Which is smaller: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w - 17*w = 5960. Suppose -2*d + d + 988 = -f, -3*d + w = 5*f. Is d\/(4 + -2) - 4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*5\/(-30))\/(2\/24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**3 - 156*k**2 - 158*k - 118. What is b(27)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105644049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 12:23 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 14515965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 w when four letters picked without replacement from wewwwwee?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12.478045 * -0.1\nAnswer: 1.2478045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i - 3 = -25*i - 33 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 15*r**2 + 2. Let z be y(15). Is z bigger than -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9961932 divided by -1598\nAnswer: 6234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -478960 to the nearest 1000.\nAnswer: -479000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1321.4256 months to decades.\nAnswer: 11.01188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72837696?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/(-91)*6\/(-30)*35?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 421.139831\nAnswer: 421.439831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3852.731 plus 5?\nAnswer: -3847.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20276 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1057 + -480. List the prime factors of f.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 93770*j + 93769*j - 110*j**2 - 187543*j + 5 in the form z*j + l*j**2 + c and give l.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 - 21*a**2 + 13*a + 5. Is 26 a factor of p(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/((4*sqrt(22))\/sqrt(2)))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 1, -79 in ascending order.\nAnswer: -79, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*m + 116 = -x, 453 = -4*x - 5*m. Round x to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from ggyyggggyygyyyyggyy?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 43.70686 years?\nAnswer: 4.370686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35982*c**3*t**3 - 9120*c**3*t - 3185*c**2*t**3 - 38*c**2*t - 42*c**2 - 2*t + 3 wrt c.\nAnswer: 215892*t**3 - 54720*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 81 * 3192.06\nAnswer: 258556.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -812568\nAnswer: -24377.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*u - 11, 0*l = 2*u + 4*l - 10. Let t(v) = -1 - 5 - 3 - 9*v + 10. Calculate t(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/17, -0.2, 1283334 in increasing order.\nAnswer: -0.2, 6\/17, 1283334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s - 7*s - 4*s**3 + 3*s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 30. Let h(v) = 10*v + 140. Let a(m) = 3*h(m) - 14*u(m). Let f(q) = 176*q. Determine f(a(d)).\nAnswer: 2816*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 490686007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 11*k - 26. Let f be n(3). Is -132\/7 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 1 = -5*w - 0, -2*w + 3*u + 13 = 0. Let q be (-11 + w)*1\/3. Sort -0.19, 5, 2, q in decreasing order.\nAnswer: 5, 2, -0.19, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1694 * 14.25\nAnswer: 24139.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -1\/6*n**5 + 0*n + 0*n**4 + 1\/24*n**6 + 0*n**3 + 0 + 127*n**2. Suppose y(b) = 0. Calculate b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y. Let x(s) = -26*s**2 - 2*s + 12637. Give a(x(p)).\nAnswer: 78*p**2 + 6*p - 37911","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 130 * -26\nAnswer: -3380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21361005 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1.7. Let u = 55\/189 - 4\/27. Which is the closest to -0.2? (a) -0.4 (b) u (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/37, 4, -5, 15, -3 in ascending order.\nAnswer: -5, -3, 1\/37, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46\/211 - 27\/844. Which is the nearest to 1? (a) o (b) -3\/2 (c) -0.086 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**4 + 4447*w**3 - 8889*w**2 - 4447*w + 8890 = 0.\nAnswer: -1, 1, 2, 4445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14773941 to the nearest integer?\nAnswer: 3844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19, 53, 161, 385, 767, 1349, 2173?\n\"Answer: 7*n**3 - 5*n**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -73*l**3 + 12*l**2 + 5*l - 21. Is r(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20, 121, 298, 551, 880?\n\"Answer: 38*g**2 - 13*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15365708 minus 65?\nAnswer: 15365643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-3) - -12) + (5 - -11)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5705 + 162 - 212)*(3*o**5 - 2*o**5 - 3*o**5) - 3*o**4 + 3*o**4 + 2*o**5.\nAnswer: -11308*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 555520312 (base 6) in base 3?\nAnswer: 200221202001022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*q**4 - 4080*q**2 - 4 - 3939*q**2 + 8178*q**2 - 329*q**5 - 2*q wrt q.\nAnswer: -19740*q**2 + 216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*o**5*t - 4*o**3*t + 41*o**2*t + 2*o*t - 2*o wrt o?\nAnswer: 2040*o**2*t - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -4339, -9 in increasing order.\nAnswer: -4339, -9, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6793 and 2?\nAnswer: 6795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-175)\/35 + 5*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/27 - ((-57200)\/(-495) + -89)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 244 + -242.35. Let p = h - 1.25. What is the closest to 2\/11 in p, -1, 3, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/9*0*16\/(-32)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 3*j**2 - 2*j - 4. Let i be a(5). Let k = 5 - 2. Let v = k - -1. What is the greatest common divisor of v and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/8, -2\/9, -4\/5, -3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33912 is divided by 1679?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) -4\/3 (c) -5\/3 (d) -0.091 (e) 2 (f) 0.85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/36 and -13\/57.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -650 - -98152\/151. Let l = 618\/1057 - m. What is the nearest to -0.1 in l, -4, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42\/103 + 2773\/1030. Find the common denominator of ((-2)\/12)\/((-15)\/(-685)) and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*3\/24*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/5 - (-2 - 0). Let k be 1\/2*s\/3. Solve p + k*p = -5*o + 8, -3*p + 4 = 5*o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -20, -15, -3\/5?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 330202 and 17548?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27746 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9aa35 - 3a?\nAnswer: 9a9b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 34*j**5\/3 + 3614*j**4\/3 + 81062*j**3\/3 - 798182*j**2\/3 + 508592*j + 173280 = 0.\nAnswer: -57, -5\/17, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 41063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = -t. Let u = -0.049301 + -0.950699. What is the closest to -1 in u, -0.2, t, 3.6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 2*n - 5, -4*c + 4*n = 3*n - 17. Suppose 0 = c*l - 12 - 0. What is the common denominator of 103\/6 and l\/18 + 562\/36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**14)\/g)\/(g**15*g))\/((g\/((g**(4\/3)*g)\/g))\/(g**(1\/6)*g)))**(-10\/17) assuming g is positive.\nAnswer: g**(285\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10498)\/(-3258))\/(13\/(-39))?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -760*n**2 - 56*n**2 - 881*n**2 - 120*n**2.\nAnswer: -1817*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -72*t**3 - 6*t**2 - 6. Let c(u) = u**2 - 1. Suppose -3*i + 2 + 13 = 0. Let b(z) = i*c(z) + f(z). What is the third derivative of b(r) wrt r?\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 110*y**2 - 4*y - 440. Determine u(-110).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-284)\/38)\/((-169)\/((-279357)\/(-174))).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12678044.\nAnswer: 2, 71, 44641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**5\/20 - 3*v**4\/4 + 10*v**3\/3 + 3*v + 9. What is the second derivative of m(u) wrt u?\nAnswer: 6*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -4*g + 6, 10226*g - 10220*g = -18 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 2*p + 4*w - 18, 0 = 5*p + 4*w - 25. Let f(y) = -y**3 - 2*y**2 + 5*y - 3. Let b be f(p). What is the fourth biggest value in 3, 0, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 8*b**2 - 8*b + 12. Let r be w(-8). Suppose -y - r = k, 5 = 3*y - 1. Do k and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3144 to two dps.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*m, a - 5*m = -10*m + 23 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00022631 to five decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/10)\/n)**(-26\/3)\/(((n\/(n**(-1)*n))\/n*n*n*n*n)\/n*n*n)**(24\/7))**(-6) assuming n is positive.\nAnswer: n**(1962\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -460, -1708, -3732, -6532?\nAnswer: -10108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22463.197 rounded to the nearest ten?\nAnswer: -22460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4\/12 + 11*1\/3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhkhhhkk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - g + g**2)*(11*g - 11*g - 9*g**2) + 4*g**3 - 4*g**3 + 2*g**4 in the form l + w*g**4 + d*g**2 + s*g**3 + t*g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 30. List the prime factors of i*((-6)\/(-2) - (-32 + 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1529\/70 + 0 + -1. Let t = 106\/5 - f. Calculate the common denominator of t and -25\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w**5 + 24*w**4 + 105*w**3 - 420*w**2 + 444*w - 144 = 0.\nAnswer: -4, 2\/3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*l, -u = -2*u + 4*l + 1005. List the prime factors of u.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2*r + 63 = 71, 20 + 12 = -7*f + 2*r for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-1134)\/(-390))*(-37 + 42).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.988 - -0.012. What is the nearest to -0.1 in f, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - q**3 + 1)*(-2 - 1 + 2) + q**3 - 4*q**3 + q**3)*(-4100*q**2 + 0*q + 3038*q**2 - 5*q + 5*q).\nAnswer: 1062*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 2 = -r, 2*r - 199 = 153*i + 99 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + 0)*-3 + -4*sqrt(153)*2 - (-4 + sqrt(833) + (sqrt(833) + 1 - sqrt(17))))**2.\nAnswer: -276*sqrt(17) + 35981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -811473 - -17.\nAnswer: -811456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -190.632 and -693?\nAnswer: 132107.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 + -14. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 794 - 798 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -290 + 286. Let t(v) = v**2 + 5*v - 5. Let s be t(-6). What is the units digit of (s - 4)*(-9 + q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60*((((-1701)\/6)\/(-21))\/3)\/(72\/24)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 10. Let l(t) = 4. Let k(n) = 2*c(n) - 5*l(n). Let w(v) = -8*v**2 - 7. Let g(i) = -i**2 - 1. Let q(j) = 42*g(j) - 6*w(j). Give q(k(y)).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 209 + 128. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i + 4*i - 7488. Suppose 4*t - t = i. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 396446 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 7208 + 7124 = 0. Solve -q = 2*r - 3*m, 5 = -r - 3*r - 3*m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 8*i - 6. Suppose -4*d - 5*l = -301, -i*l - 325 = -5*d + 2*l. What is the remainder when d is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + -1 - (sqrt(3)*3 + -5).\nAnswer: 4 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -2, 0 in decreasing order.\nAnswer: 4, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + a - 20625, 37*y = 41*y - 3*a - 41245. List the prime factors of y.\nAnswer: 2, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a decade in years?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -0.1. Let d = 0.07 + 0.23. Let o = d + z. What is the third smallest value in 1, o, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -686330 by -137266.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -19 + 3. Solve 3*u + u + 16 = -4*t, 0 = -u + 5*t + c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/5)*f*f*f*f**(-2\/29)*f*f)\/(f*f**(2\/41)\/f*f*f**1) assuming f is positive.\nAnswer: f**(25458\/5945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/5)*k\/(k\/(((k*k*k**(-1)*k)\/k*k)\/k)))**(-1\/38) assuming k is positive.\nAnswer: k**(-3\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -4*v + 1\/3*v**2 - 1\/36*v**4 + 1\/20*v**5 - 1\/90*v**6 - 1\/6*v**3 + 0. Find t, given that z(t) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.3*4881954\nAnswer: -20992402.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563415 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1177*d*l*p**2 + 2*d*l*p - d*p**2*u - d*p**2 + l*p*u + 21*p**2 + 6*u wrt l?\nAnswer: 1177*d*p**2 + 2*d*p + p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1597089 and 0.2.\nAnswer: 319417.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 6*b - 5*b + 5*b)*(-4 + 3 + 3) as o + m*b and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9388497.119863+-0.23\nAnswer: 9388496.889863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1806 and 1?\nAnswer: 1806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58850 + -24696. Let d = 49921 - a. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o - 14 - 1 - 3. What is the remainder when l(12) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1701*n = -503*n - 74276 for n.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*p + 398 = -826 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4440, 17584, 39490, 70158?\nAnswer: 109588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 135\/6*18\/15. Let u be (4 + -5)\/((-3)\/i). Let y be u*(0 + 3 + -2). Calculate the greatest common divisor of y and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 26. Solve 2*j + c*f + 4 = 8*f, 8 = -4*j - 3*f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/7768361?\nAnswer: -2\/7768361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 3. Let h(b) = b**2 - 6*b + 2. Let x be h(5). Let f(i) = -i**2 - i - 3. Let w be f(x). Is z(w) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p. Let v(h) be the first derivative of -14*h**3\/3 - 214. Give b(v(f)).\nAnswer: 56*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l - 8. Give g(7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-672999)\/165298*(-21)\/95?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31591 - -31592. Let c = 3 + -3.5. Let k = -79 - -62. What is the second smallest value in c, k, f, 1\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 2, b: 1, s: 2, z: 2}. Give prob of picking 1 b and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 0*p**2 - 3\/20*p**5 - 23*p - 1\/6*p**3 + 0 - 1\/30*p**6 - 1\/4*p**4. Factor k(g).\nAnswer: -g*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -11*v**2\/2 - 5*v - 117. Let c(x) = 6*x + 2. Give 5*c(q) + 2*o(q).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*u = -26, u + 9 + 1 = 2*h. Let f(a) = 5*a**2 - 2*a + 1. Let q be f(1). Suppose 0 = q*j - 2*j - 10. Solve 0 = -h*s + j + 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/23 - -35\/92. What is the second smallest value in t, -0.1, 2\/3, -6.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -41, 25, 219, 607, 1255?\n\"Answer: 11*f**3 - 2*f**2 - 5*f - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -97. Let u(l) = -i*l**2 - 2 - 1 + 74*l**2. List the prime factors of u(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)\/sqrt(176))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 48263. Let l(t) = 3*t**2. Give l(f(k)).\nAnswer: 3*k**2 + 289578*k + 6987951507","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -709*l + 249*l - 12420 = 0 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1538717.\nAnswer: 103, 14939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-42)\/8)\/(6\/(-24)). Solve -l + 20 = h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 66652635 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (564\/(-30))\/(14 - -2). Let j = 11\/8 + m. Which is the nearest to 0.1? (a) -1 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkiiiiikkiik. Give prob of picking 2 i.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*b + 20. Let y = b + 7. Let u(h) = -h - 4. Let a be u(-6). Solve a*x = 5*x + y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.641 + 3.387. Let o = 7.4 - 2.4. Let y = o - p. What is y rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/((-3)\/(9\/(-2)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5 = -4*h. Suppose h*d - 65 = -0*d. Calculate the remainder when 3*(-38)\/(-12)*4 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.287497 rounded to zero dps?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.9 - 8.9. Let l = -627482\/9549 - 70\/1061. Let x = 66 + l. Which is the nearest to 1? (a) x (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -5*g**5\/12 - g**2. Let b(o) = -27584*o**2 + 13108*o**2 + 14459*o**2. What is b(q(a))?\nAnswer: -10625*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152, 150, 148, 146, 144, 142?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 325 - 324.9998311. What is g rounded to five dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -92\/9. Let z be (0 - (0 - -5))\/(-1). Sort z, 1\/3, p in decreasing order.\nAnswer: z, 1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10*-1 + 0\/2. What is the remainder when ((-52)\/h + 0)*5 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -192*w + 28633. Calculate c(146).\nAnswer: 601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0308546927 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 333 and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*u**2 - u + 193*u**2 - 97 - 214.\nAnswer: -u**2 - u - 311","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*b = -69 + 565. Solve -12*y + b*y + 5 = 5*r, 4*y + r = -23 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11 - -14) + -18 - -7) + 7 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 9:46 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 40*z**2 - 44*z - 3. Give n(39).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -18*b + 0*b**2 + 0 - 2\/9*b**3 - 1\/60*b**5 + 1\/9*b**4. Let q(h) = 0. What is h?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by (-27)\/15 + 3 + (-13284)\/(-180).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -72, 5, 4, -0.4, 2, -6\/5?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8968.09 - 13332\nAnswer: -22300.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 9*b + 2. Let v be i(9). Put -3, 4, v, 0 in increasing order.\nAnswer: -3, 0, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50357*k*q**2 + 8*k*q + 3*q + 106 wrt q.\nAnswer: -100714*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r. Let t be (4 + -10)\/1*-2. Let a = t + -10. Let d(p) = -5 - 4 - 2*p**a + 9. Calculate d(m(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 + 11*p - 123. Determine v(7).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-3))\/((-2)\/(-12)). What is the derivative of -j**w + 14*j**3 - 14*j**3 + 2 + 0*j**4 wrt j?\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -260 - -244. Let q be ((-2)\/4)\/((-2)\/n). Let h(d) = d**2 + 2*d + 6. Determine h(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.253, -3\/2, -4 in descending order.\nAnswer: 0.253, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**2 + 2 - 5 + 3.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from apax. What is prob of picking 2 a and 1 x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -3392 = -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3484.156808 to 1 decimal place.\nAnswer: 3484.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257976660?\nAnswer: 2, 3, 5, 1163, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3924.094 decades in centuries?\nAnswer: 392.4094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1277 - 0.0241831\nAnswer: 1276.9758169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**4 - 48*f**3 + 202*f**2 - 228*f = 0. What is f?\nAnswer: 0, 2, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5)*9*65\/1053\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4\/m**(-1)*m**(-5\/4)\/(m*(m\/m**(1\/7)*m)\/m))**(12\/7) assuming m is positive.\nAnswer: m**(159\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -118934, -239958, -360982, -482006?\n\"Answer: -121024*z + 2090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 26 = 5*h, 53*h - 58*h = 5*x + 35 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3408 + 1345 + 7558 = -13*q. Do q and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -2, 6\/11, -3.\nAnswer: -3, -2, 2\/15, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*-1*sqrt(76) + 4*(3 + sqrt(76)))*-6 + 0 + 2)**2.\nAnswer: 34080*sqrt(19) + 293764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/6)\/((-14)\/36). Factor -q*i + 3\/7*i**2 + 108\/7.\nAnswer: 3*(i - 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16020\/56021 - 2\/8003. Which is the second biggest value? (a) q (b) -2 (c) 16 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2757 equal to -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011100 + -110101100000?\nAnswer: -111001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/12041 or -1?\nAnswer: -15\/12041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 3389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 5*r + 29, -9*d - 8*r + 7*r = -3*d + 17 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9868.83 - 10144. Let n = u + 274. Let t = -1.2 - n. What is t rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**5\/15 + u**4\/8 + u**3\/6 - u**2. Suppose 505*y - 350 = -605 - 755. What is q(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 649, 642, 635, 628, 621, 614?\n\"Answer: -7*r + 656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.275881 - -0.276. What is c rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) -4 (c) -0.1 (d) 12330 (e) 3 (f) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127992813 to the nearest integer?\nAnswer: 11313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1)*f*f)**28\/((f\/(f**(4\/3)\/f))\/(f**0*f)))\/((f**(2\/3)*f)**(-6\/5))**(-15) assuming f is positive.\nAnswer: f**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 41.9, -83\/6, 3.\nAnswer: -83\/6, 3\/5, 3, 41.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 320 and 448?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 19 = -4. Suppose 10 + 10 = a*v. Let c be -1 - 9\/(-4 - -1). Solve v = c*l - 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/9)\/g**(-3\/8))**(-1\/13))**(25\/4) assuming g is positive.\nAnswer: g**(-1075\/3744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 - g**2 - 3*g**5 + 1 + 2*g**5 - 1 + (g + 5*g - 4*g)*(-7*g**4 - 3*g + 3*g).\nAnswer: -15*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -262212 - 3.076757.\nAnswer: -262215.076757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -32*g**4\/3 + 760*g**3\/3 - 850*g**2 + 6125*g\/6 - 1250\/3 = 0.\nAnswer: 5\/4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r + 4*r - 46*r**2 - 121 + 117 - 18*r**2 in the form d*r + k*r**2 + w and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101 (base 3) in base 2?\nAnswer: 1110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0484? (a) 1.2 (b) 0.3 (c) -12 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h**5 + 15235*h**4 + 2531910*h**3 + 126338400*h**2 + 2030952960*h - 832757760 = 0. What is h?\nAnswer: -48, 2\/5, 753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*w. Suppose a = 5*p - a - 41, w = -5*a + 10. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 204 (base 9) to base 5\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159130884?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 divided by -58?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**4\/12 - 9*x**2 - 5*x. Suppose 0*d = 2*d. What is l(d)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2267*c**3 + 744*c**3 - 7*c**2 - 2234 + 18*c**2 - 11*c**2 with respect to c.\nAnswer: -4569*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14\/5*j - 6\/5 - 1\/10*j**4 - 4\/5*j**3 - 23\/10*j**2 = 0. What is j?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + -53.14875.\nAnswer: -70.14875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 130691, 261195, 391639, 521993, 652227, 782311, 912215?\n\"Answer: -5*d**3 + 130539*d + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2478*x**2 + 6392*x**2 - 2268*x**2.\nAnswer: 1646*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-14)\/42))\/((-288)\/4704)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**3 + 5*n**2 - 17. List the prime factors of v(-4).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + w - 5*w + 16 = 0, d = 3*w - 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*y**2 + 0*y**2 + y**2)*(15*y + 8*y - 4*y) to the form p*y**3 + g + n*y**2 + k*y and give p.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -1\/3, 0.06, 6\/5, -0.4?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 12 = 4. Let l = 6 - y. Let n(f) = 2*f. Give n(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaoojoavhj. What is prob of sequence oaav?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*f = -9*f - 4*f - 3712 for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.480809 months?\nAnswer: 0.12340075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**3 + 2428*q - 1078*q + 19*q**3 - 2*q**2 - 1126*q.\nAnswer: 30*q**3 - 2*q**2 + 224*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78319, -156636, -234955, -313276, -391599, -469924, -548251?\nAnswer: -626580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**2 + 428*o + 432 = 0 for o.\nAnswer: -1, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 3*d - 26 = 0, -8*d + 10*d = -4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 383 - (-5 - -10 - 16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7829 is divided by 1561?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -383603*u**2 - 8018*u - 2 wrt u.\nAnswer: -767206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5320305 (base 6) to base 7\nAnswer: -2130005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.933 - 3. Let y = 7201 + -7201.367. Let f = y - l. Sort 0.2, f, -1 in descending order.\nAnswer: 0.2, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**2)**(-4))**(-18) assuming m is positive.\nAnswer: m**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 26*k**2 + 9*k - 18. Let g be o(2). Solve 6*c + 68 = g for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mknkwpkfnffmfmmmmnw. Give prob of sequence kn.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 41 = n - 4, 0 = n - w - 25. Let g be 0 - 2\/8 - (-45)\/n. Solve -g*b - 8 = 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/31 and 2330\/360 - 13 - -10?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4772 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 268.4751 and 0.112.\nAnswer: 30.0692112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -131.18 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j. Let g(d) = 5*d**2 + 25175*d - 25175*d. Give g(b(l)).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/6)\/(4\/(-36)). Let j(q) = q**3 + 8*q**2 + 6*q - 7. Let u be j(-7). Suppose t + u*t = z. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = u - 4*j, 2*j = u - 3*u - 30. Put -2, u, 0, 2 in descending order.\nAnswer: 2, 0, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -447.95 - -448. Sort -1\/3, k, 1\/3 in increasing order.\nAnswer: -1\/3, k, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 3:59 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - y + 76 - 67 = 0, 2*g = 3*y + 12. Which is the nearest to 3? (a) g (b) -1\/4 (c) 175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 31 = -11. Let w = b + -17. Calculate the remainder when 15 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, f: 2, y: 1, i: 1, q: 1, k: 1}. What is prob of sequence yk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-seven quarters of a micrometer?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -2.11 (c) 1\/2 (d) 3 (e) -18\/551 (f) 0.2 (g) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20271 (base 9) in base 16?\nAnswer: 3424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 0 + 1\/3*z**2 - 2\/3*z + 1\/3*z**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/3)*c)\/c)\/c**(-4\/3)*c**(1\/11)\/(c*c\/c**(-10)) assuming c is positive.\nAnswer: c**(-338\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -451 by 13977.\nAnswer: -451\/13977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*sqrt(99) - (sqrt(11) - sqrt(3564)\/sqrt(4))) + 5.\nAnswer: -7*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/1)\/(-10 + (8 - 6))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 667, 1425, 2213, 3031, 3879, 4757, 5665?\n\"Answer: 15*w**2 + 713*w - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/5)\/((-5)\/(-1775)). Let y = 501 + n. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*g + 36, k - 4*g - 32 = -3*k. Suppose -5*w - 4*a = -142, -2*a + 0 - k = 0. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 3*i + 196. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -14*o - 33. Let t be v(-5). Differentiate -t*d - 32*d - 11 + 70 wrt d.\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1150426 - 1150428 + 18*l**2 + 26*l**2.\nAnswer: 44*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 942089 - 260089. Round l to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 2:41 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201226245.\nAnswer: 3, 5, 11, 19, 64187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1761 is divided by 98.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1552 is divided by 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -j - 2919, -4*j = -4*d - 0*d + 3884. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 10 = 3*s, t - 4*s = -2*s + 8. Let g be (-2)\/((-108)\/51 - -2). Suppose 4*j - 4*y = -1 + g, -3*j = -y - 10. Do t and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2))**(2\/61)\/(b\/(b**(5\/3)*b)*b**(1\/3)\/b))**(2\/97) assuming b is positive.\nAnswer: b**(842\/17751)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -44121, -88241, -132361, -176481?\n\"Answer: -44120*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(4\/11))\/w*w*w)\/(w\/w**(-11)*w)*w**(2\/17)\/w**(-1\/2) assuming w is positive.\nAnswer: w**(-4019\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 minus 246167177?\nAnswer: -246167177.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1773*w - 727 = 56009 for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*q = 29, -a + 76 = 4*a + 3*q. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*d + d = -11, 4*z = 5*d + 6. Which is greater: -2\/2361 or z?\nAnswer: -2\/2361","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*l = -l - 7, -5*l = -2*v - 17. Let g be 5 - v\/1 - 10140001. Round g to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minus -0.765?\nAnswer: 38.765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -545*q**2 - 9*q + 19794 wrt q.\nAnswer: -1090*q - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5436515 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 2*f + 2*d + 590, 3*d = -4*f + 798. Calculate the highest common factor of 18 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 129 (b) 1 (c) -0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*u = 8996, 62*n = 59*n - 4*u + 26958. What are the prime factors of n?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 94189796 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -3e4fc?\nAnswer: 3e4fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1\/8, -0.09, -2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 5*w + 4. Let o be m(3). Let n(k) be the first derivative of -2*k - 3 - 3\/2*k**2. Give n(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82862, -82870, -82880, -82892, -82906, -82922, -82940?\nAnswer: -82960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*i**3 - 19369*i + 50*i**3 + 51*i**3 + 51*i**3 + 12*i**2.\nAnswer: -3*i**3 + 12*i**2 - 19369*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -77137, -1, 0 in ascending order.\nAnswer: -77137, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**4\/3 + 118*c**3\/21 - 132*c**2\/7 + 11*c - 2. What is m in n(m) = 0?\nAnswer: -66\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*j**4*x**2 - 1242*j**4*x - j*x**2 - j*x + 8946*x**2 - 3*x wrt j.\nAnswer: 96*j**2*x**2 - 14904*j**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**2 - 2*s**2 - 13*s**2 + (-2 + 2 + 2)*(3*s**2 + 3*s**2 - 5*s**2) as y + t*s**2 + p*s and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnnh when four letters picked without replacement from mnnmamhnnmanhahanan.\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g**2 - 2*g + 2. Let d be i(1). Is 11 a factor of ((-24)\/30)\/(d\/(-310))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-seven fifths of a decade?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**3\/3 + q**2\/2 - 3. Let w(v) = 9*v**2 - 2*v - 1. Let r be (1 + 0)*1 - -1. Let h(s) = r*j(s) + w(s). Give h(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + j = 1, 5*b - j - 2 = -3*j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(4)*4)\/sqrt(2) - ((sqrt(128) - (sqrt(128) + 2 + sqrt(128))) + 5)**2.\nAnswer: -140 + 52*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*j + 6*j - 13*j - j to the form l*j + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 s when two letters picked without replacement from ssssbmnnmnbms.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -83*t + 2811. What is m(34)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4394 and 1859.\nAnswer: 48334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1146740.\nAnswer: 2, 5, 7, 8191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94 by 1587.\nAnswer: 94\/1587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -169\/3 - -57. Let o be (0 - -2) + (-2)\/(-2). Let l be -6*o\/(-1 + -8). Is a greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15915519?\nAnswer: 3, 17, 29, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25573 - 21609. Which is smaller: z or 11893\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.12163258 rounded to two dps?\nAnswer: 4.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12573923 bigger than 12573924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1226\/84 - 3\/(-18)*404\/(-707).\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30215 is divided by 207?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -602*d + 26*d + 2572 + 884. Solve 0 = -5*p - 5*i, -4*p - 7*i - 6 = -d*i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 2*x**2 - 8. Calculate a(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 369.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/583 and 31\/33.\nAnswer: 1749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x**2. Let n(c) be the first derivative of c**2 + 9. Calculate s(n(b)).\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.8 - 3. Suppose 2*g = -3*y + 10, -3*g = -5*y - 0*g + 23. Which is the closest to h? (a) y (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 10:19 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/29))**(-15\/2))**(2\/25) assuming f is positive.\nAnswer: f**(6\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120201210022 - -10?\nAnswer: -120201210012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12827 divided by 59?\nAnswer: 12827\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42552\/5 or -8509?\nAnswer: -42552\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from kokookokok?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23\/60 - -5\/12. Let o = -3.7 + 3.7. What is the second biggest value in q, 1\/3, 0.3, o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22228 (base 10) in base 5?\nAnswer: 1202403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z**(2\/3)*z)\/(z*z**(2\/7)))**(-1\/31))**28 assuming z is positive.\nAnswer: z**(-200\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*b**6 - 4*b**5 + 2*b**3 - 395*b**2 + 13 wrt b.\nAnswer: -3240*b**3 - 240*b**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofof when four letters picked without replacement from {o: 7, f: 9}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**2 + 1575*w = 0. What is w?\nAnswer: 0, 525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from ihiihi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.96 - 1. Let o = 186 + -185.8. What is the third smallest value in 2\/5, x, o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1448 - 1448 - 37777*y + 37774*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1 = s + 2, 0 = 3*p - 5*s - 23. Let l be (-2 + p)*0\/3. Let j = -3.1 - -3.1. What is the nearest to l in 0.2, j, -3\/8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -730*s - 3*s**3 + 730*s.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 817699.6 centimeters to millimeters.\nAnswer: 8176996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 6 = 4*t - 8, 4*t - o - 26 = 0. Suppose -3*k + t = -3. Suppose -1 = -r, k*r - 97 = -5*q + r. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 19, 1, 16\/5, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-3)*3*(-594)\/495\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 2*p**2 - 6*p - 1. Let c be i(4). Suppose -c*j - 42 = -168. Find the second derivative of 4*w - j + 10*w**3 - w + 18 wrt w.\nAnswer: 60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**4\/2 - 1137205*u**3 + 258728908205*u**2\/2 - 9309819708900*u + 167550230241000 = 0. What is u?\nAnswer: 36, 227405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -42*a**3 + 10*a**2 + 14*a + 39 + 25*a**3 - a + 18*a**3. Let f be y(-9). Suppose -f*v = -436 - 341. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8481 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -522*q + 205*q**2 - 204*q**2 - 3361*q in the form t*q + y*q**2 + i and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = -1025 - 535. Suppose -56 = -2*m - g. Round m to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2173 + 2175. Solve 5*c = -q - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34637539 a multiple of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18 - 18 - 4*g**3 + (1 + 2 - 1)*(0*g + 4*g**3 + 0*g).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3000 and 45768.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 240.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k - 15. Let u(c) = -60. Let m(x) = -33. Let y(s) = 9*m(s) - 5*u(s). Let q(d) = -g(d) - 5*y(d). Let z(l) = -8*l + 1. Give 5*q(f) + 3*z(f).\nAnswer: -4*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c = 0. Suppose 5*q = -3*y + y - 7646, 5*q + y + 7648 = c. Let z = q - -2273. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583717 is divided by 627.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1391238 to the nearest integer?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4*(-2)\/(-6))\/(60\/(-495)). Solve 0 = p*q + 20 + 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 267 + 8*w - 107 + 81 + 231 in the form r + j*w and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*c**2*h**3 - c**2*h**2 + 409440*c**2*h - c**2 + 313205*c*h**3 - 2*h**2 + 8 wrt h?\nAnswer: -42*c**2 + 1879230*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 423*f**2. Let m(r) = 212*r**2 - 1. Calculate -5*m(c) + 3*u(c).\nAnswer: 209*c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*z - 208 = 2*n, 0 = -7*z + 49*n - 51*n + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22374598 is divided by 443?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2887841.\nAnswer: 11, 17, 15443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 41. Let h(u) = -n*u - 7*u - 14*u - 16. Is h(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - ((3 - 1) + 9). Let s = n - -12. Sort 4, s, -4 in descending order.\nAnswer: 4, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -431, -2232, 2\/3, -4, -2\/5, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a02 (base 12) to base 14.\nAnswer: -1226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 7 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 2*o - 34*o**2 - 3*o - 149*o**3 - 8*o**2.\nAnswer: -149*o**3 - 42*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 2*b + 3*b)*(-51*b + 51*b + 62*b**4) + 0*b**2 + 0*b**2 - 2*b**5 + (b - 2*b + 0*b)*(4*b**4 - 3*b**4 + 0*b**4).\nAnswer: -127*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, m: 1}. What is prob of picking 1 k and 1 m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41.16 - -39.18. Is 2\/5 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24.9188 * -5.\nAnswer: 124.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/74028 and 125\/144?\nAnswer: 888336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 8:01 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 1 = 3*y + 18, 2*v - 9 = -y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -38000000 rounded to the nearest one million?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 1 + 1 + 1. Let q(j) be the second derivative of 3*j**5\/20 - j**4\/3 + j**3\/2 - j**2 - 3*j. What is q(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 1:51 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 12:25 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 189890694205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 1)*(616*q**2 - 9*q - 60*q + 69*q).\nAnswer: 3080*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*z + 25, 4*h + 20 = -2*z + 4. Let u = -3 - h. Let t(v) = -v**2 + u*v - 3*v + 0*v**2 - 2. What is t(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 + -62. Find the third derivative of o*y**5 - 95*y**2 - 39110*y**3 + 39113*y**3 - 3*y**5 wrt y.\nAnswer: 540*y**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7ca1 (base 14) in base 15?\nAnswer: 666b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6876 - 4044 = -4*b. What are the prime factors of b?\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 2642325.8?\nAnswer: 792697.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) 3 (c) -0.01 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16\/3 - 6. Let g be 10\/(-66) - 10\/55. Is f greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(308)\/(sqrt(33)\/sqrt(3)) + (sqrt(686) + sqrt(686)*3)\/sqrt(2).\nAnswer: 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**2 + 232668192*i - 4511207297379072 = 0. Calculate i.\nAnswer: 38778032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 333625?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -5*x - 2 + 3, -1 = -3*z + 4*x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 16*w**2 + 23*w - 50. Let j be b(2). Is j bigger than 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324420619 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**5\/20 + 2*u**4\/3 - 5*u**3\/6 + 2*u**2 + 4*u. What are the prime factors of k(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-12\/7)\/(s*s*s**7\/s) assuming s is positive.\nAnswer: s**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44703092 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 d = 38.665235 - -72.334708. Let t = 111 - d. What is t rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.46086 + 2.3?\nAnswer: 52.76086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.07119 times 2.9\nAnswer: 0.206451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 7:33 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zaaua. Give prob of sequence aa.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 87 - 53 - 1170\/35. What is q in 4\/7*q**2 + 0 - s*q = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 793100.492 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**2 + 5*m**4 - 4*m**2 + (-2*m - 2*m + 2*m)*(10*m**3 - 2 + 2) + 2*m**4 + 5*m**4 + 0*m**4.\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6301, 1, 3, -27, -24 in descending order.\nAnswer: 6301, 3, 1, -24, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2 + 256*q - 3993. What is g(-77)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**3 + 186*n**2 + 160*n + 3144. Give q(-46).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 84 = -10*b. Suppose 254 = b*r + 104. Calculate the lowest common multiple of 65 and r.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(272)*-1)**2 + -5 + (sqrt(272)*-1)**2.\nAnswer: -40*sqrt(17) + 564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 - 33 - 5)*(4*m**2 + 5*m**2 + 0*m**2).\nAnswer: -747*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 89357 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + -47. Factor -5*n**3 + 5*n**5 - r + 6 - 10*n**2 + 5*n**4 + 5*n**4.\nAnswer: 5*n**2*(n - 1)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4 + 3*n**2 + 3*n**2 + n**3 - n**3 - n**3. Let q be x(6). What is the tens digit of 7*q\/(-8)*-18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7839*c - 3 + 12 - 87838*c. Let b(u) = -7*u + 40. Let q be b(7). Let s be a(q). Round s to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x. Suppose 0 = o + 3*o - 36. Suppose o = 3*u - 6*u. Calculate d(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*y + 12 = 0, 3*n - 11*y + 1 = -10*y. What is the third smallest value in -21, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156753*v - 108 = 4*j + 156754*v, -4*v = 4*j + 120 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189 + 176 = 13*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1101 (base 6) to base 5\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**2 + 0*d**2 + 4*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2524 + 2552 - 5076 + 10066*u + (-3*u + 6*u - u)*(-2 - 1 + 2) to v + h*u and give h.\nAnswer: 10064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {z: 2, v: 7, w: 4, h: 1, x: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 488*q**2 - 1254*q**2 + 598*q**2 + (-q**2 + 2 - 2)*(2 + 3 - 4 + (4 - 5 - 1)*(-1 + 1 - 2)).\nAnswer: -173*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/3, -131, -10\/7, 3, -1\/2, 3\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -3) + (5 + -2 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8)*i*i*i*i**(2\/21)*(i**1)**(-2\/135))**(-4\/5) assuming i is positive.\nAnswer: i**(18596\/4725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*j - 58*j - 68622 = 5*h, 0 = -j + 3*h + 17159. Is j a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2148*s + 70887. What is c(33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5 - 8*s**4 - 3*s**3 + 26*s**2 - 16*s.\nAnswer: s*(s - 8)*(s - 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 20.97, 5, 2 in decreasing order.\nAnswer: 20.97, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p + 13 = 2*q, -1 = 3*p - 4*q. Suppose -2*l + 28 = p*i + 6, -i = 0. Let t be -8 - -12 - (-1 + 4). What is the highest common factor of t and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 785728227?\nAnswer: 3, 97, 353, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by -12200\nAnswer: 6\/1525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, r: 1, b: 18}. Give prob of sequence bb.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 - 80. Suppose -w*f + 187 = 5*z, -4*f + 349 = 4*z + z. Is 27 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*o. Let g(u) = o - 1 - 2*u + 0. Is g(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 235 - 1423 = 0. Calculate the greatest common divisor of 792 and x.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1200)\/(-100)*2\/390)\/(9\/15)?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-119 - 22*n + 119 + (-2 - 1 + 2)*(-3 + 3 + n)).\nAnswer: 46*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 9411.066 milliseconds?\nAnswer: 0.000108924375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1653 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c + 10*c = 87 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d. Let b(a) = a**4 - 30*a. Let j(o) = -2*b(o) + 11*s(o). What is the second derivative of j(q) wrt q?\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**20)\/(i**(-16)\/i))**(2\/31) assuming i is positive.\nAnswer: i**(76\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(140))\/(sqrt(40)\/(sqrt(8) - (sqrt(288) + sqrt(8))))*5.\nAnswer: -300*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-106)\/(-6))\/((-13)\/(-5148)*22). Solve o*m - 324*m = 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 3:38 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -400.138 and 0.04?\nAnswer: -16.00552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.45 - 6.03. What is the closest to 0.4 in 5, 0.4, b, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*n - 3. Let j be n + -2 + 14\/8. Factor 1\/2*t**4 + 0*t**2 + 0*t**3 + j*t**5 + 0*t + 0.\nAnswer: t**4*(3*t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 4*u - 28, 160*h - 4*u - 10 = 165*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 168, 235, 298, 357, 412?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2 - 9*z**2 - 2 + 0. Let r(x) = -2*x**2. What is c(r(f))?\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/75 - (-26)\/10. Let s = 2 + 0. Let h be s + x - 6\/2. Solve -3*p = -5*b + 14, -2*p = -h - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 750.4719 + -850.47104. Let p = 24 + 76. Let b = c + p. Round b to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 2340.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j**2 - 19*j + 2. What is q(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 346158365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -181*r**5 + 729*r**4 + 2*r**3 + 225388*r + 1 wrt r.\nAnswer: -3620*r**3 + 8748*r**2 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*4*31\/1550\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f + 747 + 1224 + 291 = 24*f for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 3*d**2 - d**2)*(-2*d**2 + d**2 + 2*d**2) + 2*d**4 + 0*d**4 - 1 + 2.\nAnswer: 5*d**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 6*m**2 - 3*m**3 + 9*m**2 + 4*m**4 - 4*m**2 as u*m**3 + l + q*m**4 + t*m**2 + c*m and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3741*t - 22587. Give g(6).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**8\/11760 - u**7\/1960 - u**6\/1260 - 89*u**3\/6 - 57*u**2. Let z(i) be the first derivative of a(i). Factor z(t).\nAnswer: -t**2*(t + 1)*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 t, and 1 p when three letters picked without replacement from tpwpzpl?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04231121713 to 5 dps.\nAnswer: 0.04231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**5 + 370*r**4 + 33188*r**3 + 882218*r**2 + 3112107*r + 2262708 = 0.\nAnswer: -252, -73, -41, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 21 = 2*n, 5*n + 1656*r = 1651*r + 45 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkpcckkkcpkppkcp. What is prob of sequence pck?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.13 - -2.13. Let n = -28.1 - -28. Which is the nearest to h? (a) -2\/19 (b) n (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61227*d**5 + 1832064*d**2 - d - 1 wrt d?\nAnswer: 3673620*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2*f + 7 - 6 - 25 as b + c*f and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 5 = 0, -4 = -0*w - 2*w - 2*k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-192)\/(-72)*6\/8. Suppose 25 = -5*x, -7 = -s*i + 4*x + 23. Solve -18 = -i*b + 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -432002 (base 5) to base 7\nAnswer: -60434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 20*q - 38. Calculate the remainder when 1647 is divided by b(14).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 1. Let s(h) be the first derivative of h**3\/3 + 5*h**2 - 10*h - 3. Let c = -11 + 16. Let a(u) = c*x(u) + s(u). Calculate a(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(21)\/sqrt(75) - (0 + sqrt(21)\/sqrt(3))).\nAnswer: -16*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-411 - 429 + q**4 + 971)*(-q - q - 2*q).\nAnswer: -4*q**5 - 524*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 8*m**2 - 10*m + 600. Give q(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1424 - -1475. Solve -d = -c - 47 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1154*j**2 + 2*j - 2*j - 1276*j**2. Let y(d) = -2*d. Determine y(s(m)).\nAnswer: 244*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3067 is divided by 53?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 199720553687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 27, 57, 87, 117, 147?\n\"Answer: 30*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)*n)\/n*n*n**0\/n*n**(-3\/5)*n**(-2) assuming n is positive.\nAnswer: n**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-15))\/((-424)\/(-24804)))\/((-54)\/(-40)).\nAnswer: -52\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -12. Let z = j + 22. Suppose 0 = 9*s + 6*s - 75. What is the third smallest value in 2\/9, z, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 18, 129, -2\/11, 0.09, -5 in decreasing order.\nAnswer: 129, 18, 0.09, -2\/11, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -182 - -185. Suppose h*n - 3*x - 10 = -x, -x - 5 = -4*n. Solve n*y = 2*y + 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 + -0.42. Let w = 0.44 + x. Let o = 1 - -2. What is the second biggest value in -1\/4, o, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1944460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-6) - 821907\/(-2052). Let i = 866 - 466. Let w = i - y. Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000665 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, h: 1, v: 5, w: 7, c: 1}. What is prob of sequence chv?\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 338520965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8956 is divided by 208.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 + 13014. Let f(s) = -3*s**2. Give k(f(d)).\nAnswer: 27*d**4 + 13014","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**3 - 3*a**3 + 2*a**3 + (5 - 5 + 4*a**2)*(2*a + 4 - 4) - 13 - a**2 - 2859*a**3 - 9 + 2861*a**3.\nAnswer: 6*a**3 - a**2 - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53752, -57027, -62486, -70129, -79956, -91967?\nAnswer: -106162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18773*b = 18778*b - 20, -2*v - 5*b + 26 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2 + 1010*v - 12408 = 0. Calculate v.\nAnswer: -517, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -237 - -250. Suppose -3*y - d = 18*t - 20*t, 0 = 2*t + y - 17. Solve 8*g = 4*g - t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/18 - (-4)\/18. Suppose 2*s + 9 = g*r - 9, 0 = 5*r + 3*s - 21. Let m(w) = w**3 - 5*w**2 - 4*w - 6. Give m(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.23747 - -0.0808. What is i rounded to 3 dps?\nAnswer: -0.157","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -272 by 8.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-1)*10\/(-72)*18\/(-40).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**3 - 76692*r**2 - 76664*r + 460128 = 0.\nAnswer: -19172, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/2575187?\nAnswer: -2\/2575187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 - 8*l - 4. Let w be m(-3). Suppose -3*k + 16485 = 2*t, w*k + 4*t + t = 10979. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*r + 700 = -19*r + 70*r + 8*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xixswjjijssxwf. What is prob of sequence sxx?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3693?\nAnswer: 3, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ba - 11ed2?\nAnswer: -1209c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -15*j. Let w be y(1). Let s(p) = 60*p**3 - 59*p**3 - 6*p + 15*p**2 + 0*p + 11. What is the units digit of s(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20255, 40502, 60747, 80990, 101231?\nAnswer: 121470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 384 and 2448.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 + -95.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 - -48. Let r(j) = 4*j**2 + 6*j + 19. Let x(z) = 17*z**2 + 25*z + 77. Let d(c) = a*x(c) + 9*r(c). What is the remainder when 128 is divided by d(-4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/5 + 8*f**2\/5 + 21*f\/5 + 18\/5.\nAnswer: (f + 2)*(f + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + 1. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-2)*343\/98?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46585.67 litres to millilitres.\nAnswer: 46585670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10467 + -4323. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 128*j + 609. What is the hundreds digit of y(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 + 591. Let p = 550 - i. Put 32, 3, p in decreasing order.\nAnswer: 32, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/195*(297\/22 + -12)?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 t when three letters picked without replacement from zbzzbtzztbtbbtzbz.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-6 + 9 + -1 - -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 0 + 2 + 5*x**2 + 18*x**3 + 4 - 3. Let c(g) = g**2. Let o(s) = a(s) - 5*c(s). Differentiate o(r) with respect to r.\nAnswer: 54*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**5\/7 - 3834*i**4\/7 - 1638484*i**3\/7 + 194506988*i**2\/7 - 1115649258*i\/7 + 131826370 = 0.\nAnswer: -1007, 1, 5, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 223 - 73. Let v(x) = -x**2 + 4*x + 15. Let c be v(0). Calculate the greatest common divisor of c and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 347.69655\nAnswer: 346.69655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 443976*s + 24639336072.\nAnswer: 2*(s - 110994)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b + 7. Let h(x) = x + 1. What is -2*h(c) + l(c)?\nAnswer: -c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/2, 2\/5, 0.2, -2\/81, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*a**2 + 124*a**2 + 8 + 13*a**3 - 93*a**2.\nAnswer: 13*a**3 + 59*a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/6 - (-1)\/(-2). Let i(m) = -245 + k*m + 245. Let o(j) = -j. Calculate o(i(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1113304*d = -1113276*d + 3472 for d.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-559)\/(-215) - (-34)\/10) + -1. Solve 8*s + g*s = -4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/120 - (-2)\/(-5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5883675, 11767350, 17651023, 23534688, 29418339, 35301970, 41185575?\n\"Answer: -l**3 + 5*l**2 + 5883667*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 16*d + 16920. Is d a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1474 is divided by 519?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 76*f**2 + 791*f + 7. Let c(o) = 11*o**2 + 3*o + 1. Let g(r) = 21*c(r) - 3*y(r). Solve g(s) = 0.\nAnswer: 0, 770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/7)*z*z\/(z\/z**(-3))*(z**1)**(-4\/5))**21 assuming z is positive.\nAnswer: z**(-309\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z + 108 = -8*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -7 (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9042 * 4.\nAnswer: -36168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 2\/3, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-187)\/(-1275))\/(80\/170) and -59\/20.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 13*w**3\/6 + 15*w**2\/2 + 14*w. Let u be (18\/4)\/((-30)\/(-60)). Let p(b) = -3*b - 4. What is u*p(s) + 2*v(s)?\nAnswer: -s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3671603*d**3 + 2273*d**2 - 4609*d - 2?\nAnswer: -22029618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 + 2*r - 1. Let u be s(1). Let t(f) = 7 + 0*f + u*f**2 - 3*f**2 - 7*f. Let m be t(6). Solve -1 = i + m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 + 3*p**2 - 4*p**2 + 2*p**2 - 1 + 3*p**2 - p to the form n*p + g + w*p**2 + v*p**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4 = -a - 3*b, 2 = -2*b. Let r(p) = -129*p**2 + 5*p - 4. Let g be r(a). Let y = -44 - g. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555*x - 1263*x + 416*x - 13140 = 0 for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 - -0.29. Let h = 0.17 - -1.83. Put h, s, 1 in ascending order.\nAnswer: s, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/30)\/(6\/30)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -0.025.\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -2*g + 210. What is the units digit of 38\/14 - 12\/g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 5. Suppose -3*a - 5*g + 21 = 0, 2*g = 3*a - 58 + 37. Solve -p + a = -x*b - 0, 0 = -p - 4*b - 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185599561 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqg when three letters picked without replacement from uqquuuqqqqqgqqz.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1252.3 + 1253. What is the second biggest value in g, -2\/27, -0.1, -4?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0\/w)\/w)**(-42)\/(w*w**0\/w)**(-2\/3)*w**(2\/17)*w\/(w*w*w\/(w**(3\/2)\/w*w))*(w\/w**4)\/((w\/(w\/w**(1\/5)))\/w) assuming w is positive.\nAnswer: w**(13841\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c8 - -3?\nAnswer: 2cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 204 and 0.06186.\nAnswer: 12.61944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 4*l**2 + 4*l + 3. Let h be (-16)\/(-24) + 4\/(-6). Suppose h = -2*u + 4*t + 2, 2*t + 2 = 2*u - 4. Determine b(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 3*k**2 - 51*k + 43. Calculate the remainder when 2335 is divided by z(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 855, 81\/5, -4?\nAnswer: 81\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3433000 rounded to the nearest 100000?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 18*(2 + -1)*-1 + 7525980\/438020\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 4, 1 in ascending order.\nAnswer: -2, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21332*k**3 - 55 + 20795*k**3 - 1884*k**3 + 57.\nAnswer: 40243*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55510 or 55517?\nAnswer: 55510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -44*m**7\/7 - 22*m**3 - 30. What is the third derivative of g(i) wrt i?\nAnswer: -5280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/3 = -304\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.548834 micrometers in nanometers?\nAnswer: 1548.834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-396*o**2 - 300*o**2 + 837*o**2)*(-5*o + 3*o - 26*o).\nAnswer: -3948*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwm when three letters picked without replacement from {a: 1, z: 2, u: 1, m: 1, w: 1, h: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*s**2 + 1156*s**4 - s**3 - 575*s**4 - 6*s**2 - 579*s**4 - s to the form y*s**2 + l + o*s**4 + r*s + u*s**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-28))\/((-240)\/6400)\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 0*l**6 + 1\/210*l**7 + 0*l**3 - 1\/20*l**5 - 3*l**2 + 0 - 1\/12*l**4 + 0*l. Let b(w) = 0. What is w?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d2f02 - 1?\nAnswer: -2d2f03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 223423231 - 142?\nAnswer: 223423034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 917309688.\nAnswer: 2, 3, 38221237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -4. Let z(p) = -21 + k - 14*p**2 + 13*p + 5*p**2. Let g(d) = -4*d - 7 - d**2 + 11*d - 4*d**2. Determine -11*g(x) + 6*z(x).\nAnswer: x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -110 or -107?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.059 + -0.459. Let w = -790 + 793. Put 1, w, d in ascending order.\nAnswer: d, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + 2*sqrt(99) + 3 + sqrt(99) + sqrt(99) + (-1*sqrt(99)*5 - 6*(sqrt(99) - (1 + sqrt(99)))))**2.\nAnswer: -84*sqrt(11) + 295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 90, -4, 0, 1 in decreasing order.\nAnswer: 90, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 1:04 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77464?\nAnswer: 2, 23, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/4 and -39\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*a + 23*a - 42*a - 3333*a**2.\nAnswer: -3333*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217828 is divided by 247?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o = 16*o - 3*o + 29. What is the smallest value in -3, o, -5\/3, -2, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + (sqrt(104) + -6*sqrt(104)*3 - sqrt(104)) + sqrt(104))\/(-4*(sqrt(72) - sqrt(8))).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3473550 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.5 plus 0.028?\nAnswer: -44.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -146 + 143. Let m = -1484 - -1481.5. Are t and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 7:54 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -8982*h**2 + 6338*h - 6. Let i(l) = -2994*l**2 + 2116*l - 2. Let d(a) = 7*i(a) - 2*n(a). What is the second derivative of d(r) wrt r?\nAnswer: -5988","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 5 = -155*g - 3061 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -2 - 1) + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13131 (base 6) in base 2?\nAnswer: 11111001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, l: 1, d: 7, c: 3}. Give prob of picking 1 l, 1 d, and 2 c.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -42, -248, -598, -1098, -1754, -2572?\n\"Answer: -q**3 - 66*q**2 - q + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 11:00 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.06 (c) 6 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 3. Let y be 2 - c - (-4 - -3). Suppose y*d = 4*d - 8. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0661, -1, 242, 5, 28, 2\/7.\nAnswer: -1, 0.0661, 2\/7, 5, 28, 242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 25 times 14.31409\nAnswer: 357.85225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -410749, -410816, -410925, -411076, -411269, -411504, -411781?\n\"Answer: -21*y**2 - 4*y - 410724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/9, 5, 1\/116, 1\/4, 0.019, -0.108, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 30 = -6*c. Solve -c*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + y = -80, -3*t + y - 108 = 152. Let j = -61 - t. Solve 6*a + 15 = -s + 2*a, -3*s - 5*a - j = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1325717, 2651438, 3977159, 5302880, 6628601, 7954322?\nAnswer: 9280043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -21*n**4\/4 - 10*n**2 - 32. What is the second derivative of q(h) wrt h?\nAnswer: -126*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2525*x**2 + 11395*x - 14045 + 57*x**3 - 55*x**3 + 61*x**3 + 62*x**3.\nAnswer: 5*(x - 1)*(5*x + 53)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rss when three letters picked without replacement from srw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*d + 3*d**2 + 3*d**2 - 9*d**2.\nAnswer: -3*d**2 - 107*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 485710230 a multiple of 6477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 206*u - 257. Let o(p) = -p + 3. Let g = 206 + -209. Let f(a) = g*o(a) - m(a). What is the first derivative of f(h) wrt h?\nAnswer: -203","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 11 = -a, 0 = 36*r - 35*r - 2*a + 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 107506779 times -1\nAnswer: -107506779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/6)\/(-11*4\/12). Let a = -0.001 - -4.301. Let y = -0.3 + a. What is the closest to -1 in 2\/3, y, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 2*m**2 - 2*m + 1. Let q(r) = -6*r**3 - 11*r**2 - 11*r + 4. Suppose -3*f - 22 = 2*d - 4*f, -3*f = 5*d + 55. Determine d*h(n) + 2*q(n).\nAnswer: -n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 0, -7, 30, -8 in ascending order.\nAnswer: -8, -7, -2, 0, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11310114 (base 5) to base 4.\nAnswer: 121111220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + n + 23 = -6, 0 = 5*r + 2*n - 152. Let i be 146\/r - (-4)\/30. Suppose 0 = t - 4, -4*t - 9 = i*y - 6*y. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17035693 - 0.96\nAnswer: 17035692.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 5.4. Put 5, 0.02, b, 2 in ascending order.\nAnswer: b, 0.02, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1986500357.\nAnswer: 1986500357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 314 - 6*k - 314. Let h(b) = 679*b - 1343*b + 663*b. Let u be (8\/3)\/(4\/(-42)). Determine u*h(y) + 4*s(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12001012 (base 3) to base 12\nAnswer: 2165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 801*m**2 - 11361*m + 39935.\nAnswer: (m - 7)**2*(m + 815)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, m: 4, p: 1, d: 2, a: 1}. Give prob of picking 1 p, 1 d, 1 a, and 1 m.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**4 + 4*m**3 + m**2 - 6*m = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -1. Let r(b) = 17*b - 8. Let y(l) = 4*c(l) - r(l). Let s be y(4). Let o = -41 - s. What are the prime factors of o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 191632 and 37296?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3 + 296*q**2 + 149438*q + 739540 = 0.\nAnswer: -206, -5, 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/(-2016))\/(((-18)\/(-21))\/(-27*10\/(-180)))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -0.24, 518?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -37. Let n(u) = -u**2 - u - 1. Let z(s) = 12*s**2 + 6*s + 6. What is l*z(m) + 6*n(m)?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 g when four letters picked without replacement from {d: 4, g: 6}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1501237 is divided by 375298.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -7*i - 7. Let q(m) = m. Let d(t) = -2*q(t) + r(t). Let v(n) = -4*n - 3. Let w(x) = 6*d(x) - 13*v(x). Determine w(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 309551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 24*s - 3. Let x(o) = 2*o**2 + 40*o + 5. Let p(j) = -5*f(j) - 3*x(j). Let l(n) = -2*n**2 + 211. Give p(l(b)).\nAnswer: -4*b**4 + 844*b**2 - 44521","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.01 (b) -0.04 (c) -0.1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 8*d**2 + 5144124*d - 5144124*d as m*d**2 + u + a*d and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -11. Suppose 2*j - 4*d + 20 = 0, -40 = i*j + 3*d - 6*d. Let u = j + 18. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 12, f: 3}. What is prob of sequence fff?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkbbbkkkkkkk. What is prob of sequence bbk?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 18260092019059 + -0.1\nAnswer: 18260092019058.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 750648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*d + 105*d + 5412 = 0. Suppose -3*o + 666 = -d. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -17*c - 14*c + 29*c + 8*j, -5*j = -3*c + c + 25 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18531743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuusuuuusuuus. Give prob of picking 2 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 146272, 292588, 438904, 585220, 731536, 877852?\n\"Answer: 146316*p - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16789980 and 137118170?\nAnswer: 822709020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 1. Let j(w) = w**3 + w**2 + w + 1. Let d be j(0). Let c(p) = 7*p - 1. Let z(q) = d*c(q) + 6*k(q). Determine z(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (635\/125 - (-8)\/(-100)). Solve 0 = -13*y + 8*y - 20, -b*y = a + 15 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184509 a multiple of 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 18*t - 7. What is m(-17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 188941037 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 206 = -70. List the prime factors of t.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one quarter of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 9:45 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4227*x. Let z(n) = -781*n. What is q(z(b))?\nAnswer: -3301287*b","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 + 127*l**2 + 2028*l + 114158. Calculate d(-62).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 0 + 3*h - 1\/8*h**2 - 1\/8*h**3 - 1\/16*h**4 - 1\/80*h**5. Factor k(i).\nAnswer: -(i + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 20*f**2 - 3*f - 4. Let h(x) = -x**3 + 18*x**2 + 2*x + 3. Give -3*h(q) - 2*r(q).\nAnswer: q**3 - 14*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 124 = -80. Let d be 2*3\/((-9)\/(-6)). Suppose -i - g = -d*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from {i: 1, j: 1, w: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 306\/(-119)*(46\/(-3) + 1 - -5)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89 - 54. Suppose -18*i + 19*i = 10. Suppose -234 - d = -m + 5*w, -5*w = i. What are the prime factors of m?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 + 2 - 2)*(-119 - 33 - 74).\nAnswer: -452*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 h when two letters picked without replacement from heibozo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-34)\/(-42) + -1 - ((-270)\/(-27))\/(-70). Which is the biggest value? (a) x (b) 0.4 (c) 3\/4 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*x + 15 = 0, -4*f - 3*x + 74 = -71. Suppose 0 + f = 4*n. Solve 3*b + 0*g - 5*g = -25, 2*g - n = -2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**4\/28 + 355*l**3\/14 + 534*l**2\/7 - 11*l + 36. Factor s(r).\nAnswer: -3*(r - 356)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/19, 0, 10974?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28121?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -77264*f + 1467966. Give x(19).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w**2 + 43*w + 4. Let t be s(-6). Let n = t + 161. Calculate the remainder when n is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -366 + 4755\/13. Find the common denominator of r and 44.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86454156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*v - i + 2, 16 = 4*i. Sort 13, 4, v in descending order.\nAnswer: 13, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l - 3*l + 2*l + (1 + 0 + 0)*(2 - 2*l - 2))*(-24 + 24 - 86*l)*(2 - 2 - 2*l) to the form r*l**3 + t*l + i + z*l**2 and give r.\nAnswer: -688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - -2277146?\nAnswer: 2277135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4146\/17, 2\/7, 5, -2\/5, 0.06, -1.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x = -8*x + 4*x - 2*x - 936 for x.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3227*v**2. Let c(m) = m**2. Determine i(c(k)).\nAnswer: 3227*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/7 (b) 4 (c) 6 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18054 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oggogo. Give prob of sequence ooo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*t - 5*m + 2*m, -5*t - 5*m = 15. Let n be ((-100)\/15)\/(1\/t). Is n less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is acd + -3?\nAnswer: aca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1965464, 1965467, 1965472, 1965479, 1965488?\nAnswer: 1965499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16904 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 187.1 + 1.32?\nAnswer: 188.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-6)*v)\/(v*v**(-5))*v\/((v\/v**(1\/7)*v)\/v)*v*v*v\/(v**(1\/5)*v))**(7\/8) assuming v is positive.\nAnswer: v**(33\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7490709 and 8323010.\nAnswer: 74907090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -1.1. Let h be (-16264)\/(-76398) + 0 + (-2)\/21. Which is the nearest to i? (a) 1\/141 (b) h (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*x - 25*x - 78*x + 20*x + 20*x + 20*x + 14*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 830 divide 2949231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y. Let w be r(1). Let j = 189 + -183. Solve -7*d + w*d = j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 736594 to the power of 1\/2, to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11120211222100 (base 3) to base 4\nAnswer: -21103021332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202987952?\nAnswer: 2, 12686747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 9*m + 310. Find the common denominator of ((-86)\/(-10))\/(2\/(-5)) and (-20)\/(-5 - -15)*m\/(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04513*0.1.\nAnswer: 0.004513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**2\/2 - 439. Let y(r) = -3 + 3 + r**2 + 0. Determine y(i(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**24)**24\/(h**(-26\/9))**(6\/11) assuming h is positive.\nAnswer: h**(19060\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*r**6 + 4948626*r**4 + 2776*r**2 + 5004.\nAnswer: -360*r**3 + 118767024*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1995 and 59971980.\nAnswer: 419803860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 999 and 24.\nAnswer: 7992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 9*c**2 + 6. Suppose -29 - 59 = -4*m. Suppose 5*n - 70 = 5*z, -3*z - n - m = -0*n. What are the prime factors of h(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64.4698+-307.11\nAnswer: -242.6402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -11. Suppose -2 - 1 = -y*q. Let k(s) = 9*s**3 + s**2 - 1. Give k(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-2)*(-20)\/8. Let y(g) = 2*g**2 - 4*g - 4. Let q(i) = -2*i**2 + 3*i + 3. Calculate a*y(v) - 6*q(v).\nAnswer: 2*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -2) + -27 + 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 27 = t. Let r = 0 + t. Suppose 8 = h + 2*p + 2*p, 3*h - 3*p = r. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2688\/(-392))\/(((-2)\/49)\/1). Let q = x - 69. List the prime factors of q.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o. Let l(v) be the second derivative of 0*v**3 + 3\/2*v**2 + 1\/6*v**4 + 0 - 2*v. Let s(f) be the first derivative of l(f). Calculate s(y(d)).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -513460, -1026918, -1540376?\n\"Answer: -513458*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -33100317 to the nearest 10000.\nAnswer: -33100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (696\/435)\/(4\/(-35)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 4*z - 4. Let m be b(-5). Let y = -281 - -113. Let a = y + 3191\/19. Which is smaller: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61596.53 grams to nanograms.\nAnswer: 61596530000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 - -85. Factor y*m**2 + 11 + 10 + 8*m - 13.\nAnswer: 2*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.661? (a) 3\/2 (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 34462.8654 and 18977?\nAnswer: 15485.8654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d - 2. Let q be t(6). Let a = q - -12. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 312 and 2488872?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 219954 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10b6 + 1?\nAnswer: -10b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 11:23 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*f + 534 = 4*v, 3*v + 3*f - 534 = 0. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, p: 1, i: 1, k: 1, r: 1, u: 2}. Give prob of picking 1 r, 2 u, and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6)\/((-9)\/90)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -6 - 161\/7. Which is smaller: -26 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5286742157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36260 - 10921. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -37*d + 485. Let y be r(13). Solve -3*p - y*j = 11 + 1, -5*j - 15 = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((8\/12)\/(0 - -2)). Solve 5*n + 18 = -c*k + 2*n, 2*k - n + 6 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/4 and 151\/1020.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 4. Let j be r(-5). Let k = 541 + -305. Let u = 236.3 - k. Which is the fourth biggest value? (a) j (b) u (c) 2\/9 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1064 and 3368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -142989754 - -85\nAnswer: -142989669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -88 - 2311651?\nAnswer: -2311739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1212 (base 4) to base 14.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 30*x - 1. Let i(q) = -60*q + 4. Determine -6*i(o) - 11*s(o).\nAnswer: 30*o - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327*g + 196*g - 1612 = 120*g. Sort 24, g, -6, 1 in ascending order.\nAnswer: -6, 1, g, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-18)\/8 + (-12 - (-1413)\/54 - 20) and (-121)\/6 - 2\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 580.808 to the nearest ten.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 5 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -262.34703 * 2\nAnswer: -524.69406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 10 = -2*a, 0 = 2*a + a + 6. Let p = 0 - d. Let q(t) = 1 + 2*t + 0*t**2 - 3*t**2 - 4*t. Calculate q(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 25. Let f be h(23). Sort -5, f, -82.\nAnswer: -82, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 75. Let x be b(27). Suppose 7*o = x*o - 574. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 57942701 and 0.03.\nAnswer: 57942701.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643232240 divided by 1104?\nAnswer: 1488435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2143242374 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 4, w: 7}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*b = -b - 221, -3*f + 166 = 2*b. Suppose 0 = 3*h - p - f - 11, h + 5*p = 17. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 444163 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 2:29 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/5 < -124128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 5*s + 1112 + 1433, 2*l - 5*s = 1027. Is 30 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -880*o - 907*o + 1789*o - 33.\nAnswer: 2*o - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, f: 2, j: 4, t: 1}. Give prob of picking 1 f, 1 j, and 1 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 + 25. What is the common denominator of 2 + (-2)\/(-11)*1037\/j and 43\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogxoxs. Give prob of sequence xg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -193, -204, -221, -244?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -57, -3, 169, 519, 1107, 1993?\n\"Answer: 10*y**3 - y**2 - 13*y - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -21\/2 (b) -3 (c) -6\/5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -64978, -0.18?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + -15. Let r = f - -23. Suppose -2\/5*x**r - 2\/5*x + 0 - 4\/5*x**2 = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 352524 and 8352?\nAnswer: 8460576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -8940568?\nAnswer: -1788113.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1019684 divided by -5\nAnswer: 1019684\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 5\/3*k**3 + 1\/2*k**2 + k - 2. Is p(2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h - 12. Let i(u) = 5*u - 25. Calculate 4*i(a) - 9*t(a).\nAnswer: 2*a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30833?\nAnswer: 11, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-3) - -2) + 2. Factor 4*z**2 - 5*z**3 - 4*z + s*z**2 + 2*z**4 + z + 2*z.\nAnswer: z*(z - 1)**2*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61421001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 29. Suppose -6*n + o*n = 8. What is the remainder when -2 + n + -4 + 84 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-13)\/39)\/(5\/2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 305981.5 meters?\nAnswer: 30598150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.13100181 + 0.131. Round g to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.15 and 425569?\nAnswer: -489404.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49.24 - -49. Let l = i - -3.24. Let f(g) = -2*g**3. Let o be f(1). Which is the closest to -2? (a) -5 (b) l (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*n**5 - 842*n**4 + 15962*n**3 + 98204*n**2 + 103344*n + 21888 = 0.\nAnswer: -24, -4, -1, -2\/7, 57\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -64864816, -64864814, -64864812, -64864810?\n\"Answer: 2*i - 64864818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -4 + 0 + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 10, -0.04, -5, -0.07, -1.4, -2\/11?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23.39 + 0.19. Let f = 23.7 + y. What is the smallest value in -10\/17, 5, f?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272464 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 4*p - 8. Let a be g(-6). Find the common denominator of a\/(-2) - 158\/8 and 9\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111011011100010111101 (base 2) in base 5?\nAnswer: 444312322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1093 + 1794. Let z = 700.9999206 - p. What is z rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*l + 8 = -2*l, -5*l = 5*u + 55. Let s be (-2)\/((u\/(-16))\/3). Let q(d) = 2*d**2 + 2246*d + 69810. Let r be q(-32). Is s >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18324456 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29.324 and 13?\nAnswer: -381.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 5, 3, -59 in increasing order.\nAnswer: -59, -0.01, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 10866?\nAnswer: -2\/5433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y - 3. Suppose 5*t - 12 = -3*p + 14, -3*t = p - 14. Suppose -p*f - 6 = -3*f. Let x be h(f). Solve 0 = 4*a - x*o - 26, -5*a - 2*o + 15 + 6 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(2\/(-8)*2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-110))\/(9\/9*((-30)\/(-25))\/(-6))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + -1. What is the tens digit of 1 + 11 + (-1 - p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-492)\/(-2) + 1 + 43\/129. Let w = x - 249. Which is the biggest value? (a) 2\/9 (b) 4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2526*r**4 + 3568*r**2 wrt r.\nAnswer: 60624*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 4, -36388, 140, 0 in descending order.\nAnswer: 140, 5, 4, 0, -2, -36388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -9*o**3 + 35*o**2 - 18*o + 54. Let b(a) = -7*a**3 + 31*a**2 - 14*a + 54. Determine 5*b(r) - 4*w(r).\nAnswer: r**3 + 15*r**2 + 2*r + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*p + 20. Suppose 5*o = 3*o + p. Let i(d) = 2*d**2 - 2*d - 2. Let m be i(o). Solve m*s = s - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -912*y**4 + 2*y**3 + 22*y**2 + 7*y - 9370111 wrt y?\nAnswer: -3648*y**3 + 6*y**2 + 44*y + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o**3 - 17*o**2 - o + 3. Let z(v) = -v**3 + v**2 + 1. Let k(a) = -h(a) - 6*z(a). Let q be k(11). Solve -q*s = -0*s - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2606 - -2613. Let s = 2 - 0. Factor -26*g**2 + 10*g + 19*g**s + 10*g**2 + 1 + r.\nAnswer: (g + 2)*(3*g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/46587 and -31\/8.\nAnswer: 372696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -69419.\nAnswer: -5\/69419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + (6 - 6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + o - 4, -4*z + 3*o + 9 = -0*o. Which is the closest to 2\/11? (a) -3 (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1046 = -3*b - 5*u + 110, 0 = 4*u. Let d be 6 - (-5007 + (1 - 6)). Calculate the common denominator of d\/b - (-1)\/3 and 29\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 161\/2 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g + 64 = -11*g. Solve g*q - 2*b + 1 = 5, 2*q - 2 = -4*b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2\/7 + 2*n\/7 + 4\/7 = 0. What is n?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426606.\nAnswer: 2, 3, 97, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11428 is divided by 229?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13732 divided by 2175?\nAnswer: 13732\/2175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/30)\/(28\/6).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 39761121 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*w + 15*w - 11*w)*(-3*w - w + w)*(w - 4*w + 0*w)*(-w + 2*w + 3*w)*(1 + 2 - 4).\nAnswer: -2052*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (4 + (-120)\/25)\/((-34)\/(-2040)*2)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 561 - 553. Let s(g) = -8 - 3*g + 1 + 5*g - 3*g. Let c be s(-7). Which is greater: c or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 3)*(0 - 2*f - 1 + 2).\nAnswer: 4*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252)*-2)\/sqrt(9))\/(sqrt(252)*1 + sqrt(7)))\/(((2*sqrt(40))\/sqrt(4) + sqrt(10))\/(-5*sqrt(10)\/sqrt(2))).\nAnswer: 10*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0 - 1 = s, -3*s = 12. Let n(x) = 48*x - 675. Let m be n(14). Is y less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 604.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -1\/24*x**4 + 4*x**2 + 0*x - 1\/20*x**5 + 0*x**3 + 0. What is the second derivative of y(p) wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c + 29. What is z(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 12*y + 5731. What is k(-148)?\nAnswer: 3955","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*t = 7, 3*h - 11*t = -14*t + 3. Let g be (9\/(-3))\/(2\/(-2)). Calculate the greatest common divisor of h and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - (1 - (0 - -40)) - 3. Let y = -3 + 6. Factor -7 - l*k**2 - 4*k - 14*k**3 + 3*k**y + 15 - 9*k**3.\nAnswer: -4*(k + 1)**2*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3558, -1 in decreasing order.\nAnswer: 3558, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = 11*l + 12, h - 5*l - 16 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 11. Suppose -32 = k*s - 212. Suppose 2*n - 5*t - 33 = 0, -4*n - n + s = -5*t. Solve -5*q - 4*d = -7, -2*d = q - 3 + n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 28 - 30 = -12*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5731 - -1?\nAnswer: 5732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 48 = 3*s, 3*s + 49 = -5*z - 31. Is z less than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q**2 + 343*q - 191. Let v be h(68). Solve f + 3*f - g = -9, -v = 3*f - 2*g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**3 - 22*u**2 + 22*u**2 + (-u - u + 0*u)*(5*u + 2*u**2 - 5*u) + 3*u**2 - 3*u**2 + 3*u**3 + u**3 + 3*u**3 + 2*u**3.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -4*p**2 - 1155798472*p - 83491881742345924 = 0.\nAnswer: -144474809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 164, 308, 452?\n\"Answer: 144*y + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12848*i**4*y - i**3*y - 32*i**3 + 20*i**2*y - 7*i**2 + 89*i*y - 2*y + 2 wrt i?\nAnswer: 308352*i*y - 6*y - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 10:00 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 861 - -247d0?\nAnswer: 25251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2757, -19925, -64847, -150867, -291329?\n\"Answer: -2224*g**3 - 533*g**2 - g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 2\/3, 0, -5, 3, -2985?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 43*s**3 + s**2 - s - 1. Let b be w(1). Calculate the greatest common divisor of b and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116143571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/641 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjjq. Give prob of sequence qj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1783*l + 1757*l = -130 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-4) + (-6 - -3) + 4. Solve f*m + 22 = 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -100 - -101. Let l be -7 + -3 + 2*(0 - y). Sort -0.1, 1\/6, l in decreasing order.\nAnswer: 1\/6, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (8 - (8 + 0))) + 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676170214?\nAnswer: 2, 19, 17793953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2679 (b) 5 (c) -248\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 5.6391\nAnswer: -5.3391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 5*k**2 - 4*k - 27. Give w(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17233056 is divided by 790.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, m: 5, e: 2}. Give prob of sequence em.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1101235312?\nAnswer: 2, 68827207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62*u*x**4 - 3061*u*x + 142*x**4 wrt x?\nAnswer: -744*u*x**2 + 1704*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001000 + 10?\nAnswer: -1011000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 34. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -0.30277.\nAnswer: 0.151385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2569938823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1001 + 1003. Let j be 2*(m - 9\/6)\/1. Sort 0, 0.5, 5, j.\nAnswer: 0, 0.5, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/44964 and 149\/96.\nAnswer: 359712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 442035856 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1969472 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 0 - 3)*(-4*o + 0*o + 5*o) - 3*o + 6*o - o + (-1 - o + 1)*(0 + 2 - 4) - 1 + 1 - o)*(-65 + 65 + 6*o) to the form k*o + h + v*o**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*a*p**3*u - 5742*a*p**3 - 16*a*p**2*u + a*p*u**2 - a - 12*p**3*u**2 - p*u**2 - 1300*u wrt p?\nAnswer: 240*a*u - 34452*a - 72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/93 and -43\/60.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**4 - 3*w**4 + 3*w**4 - 49 + 49 + 21*w**4 + (-11 - 5*w + 11)*(5*w**3 - w + w).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 12:53 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 g when three letters picked without replacement from {o: 1, u: 2, g: 7}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/120 or -1\/3?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrlllrllp. What is prob of picking 2 l?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24*j**4 - 15*j**3 + 4277.\nAnswer: 96*j**3 - 45*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4386 + -4390. Which is smaller: 17 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24609410?\nAnswer: 2, 5, 7, 351563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15951 is divided by 451?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 2*j = -20, 2*m - 159 = -2*j - 157 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 199*r**5 + 2*r**3 - 1374*r**2 - r wrt r?\nAnswer: 11940*r**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + w)*(7 + 11 + 18) - 2*w + 0*w - w.\nAnswer: 33*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-105)\/105)\/(16\/560)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5686765190 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6403520 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (58\/(-377))\/((-1020)\/(-1560))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b2 + -1?\nAnswer: 1b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 15) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02293 + 14.97707. Which is the nearest to d? (a) -0.6 (b) 2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -10100011011001?\nAnswer: 10100011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 11:42 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 825605 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 446354668?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 55*y**2 + y - 226. Determine x(55).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a**2 + 7 - 14*a**2 - 10)*(-1 + 1 + 1)*(-22 - 24 + 55).\nAnswer: -189*a**2 - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -15*n**2 + 51*n + 71. Let z(j) = 3*j**2 - 10*j - 14. Let l(g) = 2*f(g) + 11*z(g). Is l(-3) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 824.156603+2362\nAnswer: 3186.156603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/23901 and -74\/215109.\nAnswer: 215109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, g: 12, o: 1}. Give prob of sequence go.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8120 divided by 2\nAnswer: -4060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 22933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143786 divided by 4.\nAnswer: 71893\/2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q + 8. Let p(b) = 6*b - 3. Let d(l) = 7*l - 1. Let f(x) = -3*d(x) + 4*p(x). Suppose -14*i + 18*i = 24. What is i*m(o) + 5*f(o)?\nAnswer: 3*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -8206369, 0.5?\nAnswer: -8206369","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1895, 3801, 5707?\n\"Answer: 1906*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nss when three letters picked without replacement from {n: 5, s: 15}?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 598371, 598356, 598353, 598368, 598407?\nAnswer: 598476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 4*b + 1. Let g be v(4). Let n be 8\/20*g*5. What is the second derivative of 0*l + 3*l**5 + n*l + 0*l + 0*l wrt l?\nAnswer: 60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3758, -7500, -11208, -14864, -18450, -21948, -25340, -28608?\nAnswer: -31734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**5\/7 + 1248*h**4\/7 - 8588*h**3\/7 + 14640*h**2\/7 = 0 for h.\nAnswer: 0, 3, 4, 305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 11*b + n - 143 = 0, -3*b - 4*n = -96. Suppose 227 = b*i + 31. Solve 15 = i*m - 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 1671 = -50*r - 269 + 92 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) -1 (c) 5.5 (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 219*m + 11. Calculate the least common multiple of 7 and t(1).\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -81460, -81459, -81458, -81457?\n\"Answer: u - 81461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from aavaaav?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, b: 1, e: 5, a: 9}. What is prob of picking 1 e and 1 a?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 91\/42*2019*(1 + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -3. Suppose -4*o - 3*j = -74, 0 = c*o + j - 18 - 52. Let z(g) = -g**2 + 19*g + 31. Is 7 a factor of z(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 1. Let h(f) = 2*f**2 - f + 4. Let u(z) = z - 8. Let t be u(6). Let d be (-2)\/(-5) - (187\/55 - 4). What is d*h(c) + t*m(c)?\nAnswer: 2*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**3 - 3*y**2 - 3*y + 2. Let t(p) = p**3 - p + 1. Suppose 4*s + 3 = 7*s. Give s*b(o) - 2*t(o).\nAnswer: o**3 - 3*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/35)\/(72\/84).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -31*b**2 - 2*b + 13. Let r be n(-1). Calculate the greatest common divisor of r and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 31538914.7 and 24?\nAnswer: 31538890.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.22628 - 26816.36\nAnswer: -26816.58628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 17 = p + 4, -2*p = 5*g - 21 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4537388 and -12.\nAnswer: -54448656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (4 - 1) - (-21)\/(-23). Suppose -4*l = t + 17, 3*t - 8 = 1. Which is the fourth smallest value? (a) 3 (b) -0.2 (c) i (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -1\/6*l**3 + 2 + 1\/2*l**2 + 8*l. Let s(g) be the first derivative of 3*g - 3. What is -s(u) + 2*x(u)?\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/2935 and -2\/45.\nAnswer: 26415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*r + 12*r = 115*r - 48*r - 2070 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -13 - ((-1872)\/(-12))\/(-12). What is s in v + 0*s - 2\/3*s**2 - 2\/3*s**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 19\/26?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (165*j + 104*j - 34*j)*(-2*j + j - j).\nAnswer: -470*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 7:49 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*n**2 - 222*n**2 + 390*n**2.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 16 (b) 0.3 (c) 4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001788482289 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 199471787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-405)*132*(-10)\/4)\/((-5)\/(-15)).\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**3*r**2*w**3 + 402*p**3*r**2 - p**2*r**2 - 2*p*r**2 - 3*r**2*w**3 + 2*r*w**3 wrt p?\nAnswer: -6*r**2*w**3 + 2412*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13216*r - 13225*r + 39600*r - 13207*r - 9 + 9.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7747 + -3?\nAnswer: -7750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1261*z - 96 = 1237*z. Put -2, 2, z, 0.23 in decreasing order.\nAnswer: z, 2, 0.23, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n - 21. Let l be d(11). Let q be (-37)\/222 - (l\/2 + 0). Which is the closest to -4\/7? (a) q (b) 0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4083 > 8165\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 14, 0.5, 0.02, 1297?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/9)\/(-2 + (-85)\/(-45)). Suppose -2*f + s*f + 5*t = 410, t = 3. What are the prime factors of f?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1081593 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28*c**2*n**2 - 85*c**2*n + 4106*n**2 wrt c?\nAnswer: 56*c*n**2 - 170*c*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3\/8, 2.5 in decreasing order.\nAnswer: 2.5, 3\/8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126381 + -1183.\nAnswer: 125198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**3 + m**2 + 9*m. Let g(n) = 4*n**3 + n**2 + 8*n. Calculate -4*g(p) + 3*z(p).\nAnswer: -p**3 - p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -274921?\nAnswer: 274920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 330\/60*(-160)\/(-20)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1502755 divided by 300551?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 - 2 + 8 + 8*a**2 - 1 + a. Let b be g(4). Suppose 0*j = 5*j - b. Is 21 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 8:00 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.534 and 12.\nAnswer: 6.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -667*v**5 + 4*v**4 - 37258*v**2.\nAnswer: -40020*v**2 + 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1. Let o(p) = -p**2 - 5. Suppose -5*f + 23 = -37. Suppose -8*u + 120 = -f*u. Let a(m) = u*n(m) + 5*o(m). What is the derivative of a(t) wrt t?\nAnswer: -10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -45602, 0 in increasing order.\nAnswer: -45602, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1399 = -535. Let d be (2\/56)\/((h\/1569)\/(-4)). Let t = 3\/28 + d. Find the common denominator of t and -125\/6.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 1.1. Let j be -2 - -5 - 22\/6. Which is the second smallest value? (a) -0.2 (b) j (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -24\/13 + 14\/13*c**2 + 8\/13*c + 2\/13*c**3 = 0.\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*w**2 - 18*w**2 + 2*w**2 - 62 to the form q + g*w**2 + s*w and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 5 - 7 + 4 + 2. Suppose 10 = 5*g - 3*g. Suppose 0 = 2*i - 1 - g. Give n(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, v: 4, y: 2, b: 4}. What is prob of picking 1 p, 1 v, and 1 y?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231 (base 4) to base 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 + 2*n + 1. Let c be k(-2). Suppose 2*h - 21 = -3*w, 4*w - 21 = -3*h + c. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.17*-2551\nAnswer: -433.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63896, 64230, 64788, 65570, 66576, 67806, 69260?\nAnswer: 70938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -264 + 572. Let y = c - -360. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -251*a**2 - 2*a - 1807. Determine t(0).\nAnswer: -1807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -3*f**3\/2 - 2*f. Let s(j) = 6*j**2 - 11*j. Let r(g) = -g**2 + 2*g. Let p(h) = 22*r(h) + 4*s(h). Give k(p(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 24. What is the remainder when i(-17) is divided by 68\/5 - (-4)\/10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.245 - 0.\nAnswer: 11.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**3*n**3*y - h**3*n**2*y**2 + 8*h**3*y + 2*h**2*n*y**2 - 17*n**3 - 4*y**2 - 2 wrt h?\nAnswer: 12*n**3*y - 6*n**2*y**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -14*z. Solve -5*t - 2*q + 6 = 0, z*t + 12 = 4*t + 4*q for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7250)\/174)\/(-125)*-63.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - g + g = 0. Suppose -32 = -8*d - g. Calculate the remainder when (-132)\/(-18)*(-6)\/(-4) is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -3.939.\nAnswer: -15.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115 + -92. Suppose 5*q - 5*i - 105 = 0, -2*i = 2*q - 3 - x. Calculate the least common multiple of 4 and q.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 79, 60, 41, 22?\n\"Answer: -19*n + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5478416922 to 3 decimal places.\nAnswer: -0.548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -250845 (base 10) to base 11.\nAnswer: -161511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8902525 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 64433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158 = 181*b - 260*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**2 + 2*p + 6. Let j be q(5). Let n = -20 - j. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1363 less than -0.1?\nAnswer: -1363.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75154 + 407846. What is d rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvp when three letters picked without replacement from vpvvppvppv.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7)\/(p\/(((p\/(p\/p**(-1\/4)))\/p)\/p)))\/(p\/(p\/(p*p**(1\/3)\/p*p)*p)*p*p**(-3)) assuming p is positive.\nAnswer: p**(-103\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 5269186?\nAnswer: -5269185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6638497 litres to millilitres.\nAnswer: 663.8497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**3 - 6*i**2 + 28*i - 141. Calculate r(6).\nAnswer: -1053","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -171976, -171962, -171936, -171892, -171824, -171726?\n\"Answer: n**3 + 7*n - 171984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) + (-5)\/18. Suppose -2*o + 32 - 108 = 0. Let x = 188\/5 + o. Which is the biggest value? (a) x (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/3? (a) 119\/40 (b) 24 (c) -5 (d) 1 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*m + m + 3*m)*(-93*m + 22*m - 44*m) as q + r*m**2 + v*m and give r.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 294 = -7*a - 3*p, -2*a + 112 = 4*p. Calculate the lowest common multiple of a and 75.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.3199256 - 1.32. What is k rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3215455 (base 6) to base 13\nAnswer: -56c48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 23*a = -234. Let k = 20 + -10. Let r(g) = 10*g + a*g - k*g. Let u(q) = -2*q**2. Give r(u(h)).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1169 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: What comes next: -18349, -37697, -57043, -76387, -95729?\nAnswer: -115069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1 - -1) + (18 - 44) + 21.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425*g - 225 + 153 = 3*l - 391*g, 3*l + 9*g = 3 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -38.19936?\nAnswer: 3.819936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13109 is divided by 2042.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -16, -595.03 in descending order.\nAnswer: 2, -2, -16, -595.03","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*((-193)\/6)\/(10\/30). Suppose -3*j - 71 - 47 = -y, -w = -3*y + j. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/1717, 4, -2 in decreasing order.\nAnswer: 4, -1\/1717, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 33 - 3. Let d = u - -6. What is the remainder when d is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*2)\/(80\/60)*6. What is the hundreds digit of 301\/63 + -5 + (-6824)\/w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9891431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -10*o - 21. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 + 3*j**2 + 6*j + 10 - 7*j + 0*j + 4*j**4 to the form x + z*j**3 + d*j + a*j**2 + v*j**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2\/11 (b) 0.1086 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = 1. Let g(c) = -10*c + 2. Let t be g(-2). Let f be d\/(-6) - t\/6. Sort -1, f, -3 in increasing order.\nAnswer: f, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-2)*(-8)\/4. Suppose o*p - 252 = 4*p. Calculate the common denominator of 71\/16 and (-4)\/14 + (-5574)\/p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 j, and 1 g when four letters picked without replacement from vgjvjggjjjjjv.\nAnswer: 189\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**4\/4 - 3*p**3 - 4*p**2 - 10*p + 5. Let j be u(-8). What is j rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 231125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -1220*v**2 + 7*v + 17. Let n be r(-9). Let p = n - -989931\/10. Let t = -130 + p. Calculate the common denominator of -61\/2 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/(-308)*7*4\/(-52)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + 26 - 6) + (-1 + 4 + -2 - 11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhu when three letters picked without replacement from {u: 2, h: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 9*r**2 + 3*r + 1. Let i be x(-4). Suppose -2*c + 29 = i. Let n = -33 - c. Calculate the remainder when 56 is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 453506 (base 8) to base 12\nAnswer: 74946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-2 - 1)*-6. Suppose 6*t - t - u = 0. Let n(w) = -4 - 3*w**2 + t + 12*w**2. Let f(m) = -2*m. Calculate f(n(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 + -58 + 23 - 24.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001286061 to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 b, and 1 x when three letters picked without replacement from bvkkbkkkkukkxzvxb.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -30.9137 and -0.4.\nAnswer: -31.3137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 5 + 1 - 3. Let w be 4 - (-3 + (u - 1)). Calculate the remainder when (w*(-16)\/(-168))\/(4\/186) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-105)*6 + (-53)\/(-5). Let t = 190 + -102. Calculate the highest common factor of r and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a - 4*a**2 + 0 + 6*a**2 - 2. Let k = -891 + 899. Does 17 divide q(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, 2, -0.66?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6) - 637\/(-147). Let f be (3 - 1)*w\/35. Is f greater than or equal to 0.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 9*u**2 - 4*u + 66. Let x be w(-10). Solve 0 = -8*s + 34 + x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + b. Let r = 5 + -5. Let d be v(r). Suppose d*s + 3*s = 93. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 + 19*l + 3. Let r be a(10). Suppose h = -2*j + 6*h - 11, -4*j + 3*h - 29 = 0. Which is smaller: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-84)*(-36)\/2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 - 6*d**2 + 14*d - 48. Calculate the remainder when 197 is divided by o(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4754 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -465410111278.05 and -0.5.\nAnswer: -465410111278.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254023126.\nAnswer: 2, 7, 41, 193, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 408450 a multiple of 1167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 2*r - 38 = 0, 14 = 2*m + r - 1 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 20*j + 0 - 1 + ((4 + 0 - 6)*(-3 + 3 - 2) + 4 - 1 - 2)*(-70*j + 6*j + 0*j) in the form p*j + u and give p.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25 and -23081.\nAnswer: -577025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - ((1 - 4) + 7). Let d(u) = 6*u**2 - 5*u - 4. Let h(n) = n**2 - n - 1. Let x(a) = s*d(a) + 3*h(a). Determine x(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**3 + 21*h**3 + 5*h**3.\nAnswer: 19*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9116 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68009*k**2 + 1983*k**2 + 28006*k**2 - 334994*k**2.\nAnswer: -373014*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2505479889.\nAnswer: 3, 11, 75923633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*d + 3*y, 16*y = 4*d + 14*y - 32. Calculate the greatest common factor of d and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 4*m + 1 + 5 = 0, -4*m - 21 = -5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 3*x - 17199 + 17204, -b - 14 = -4*x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 167.8612 decades in centuries?\nAnswer: 16.78612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -3*q - 8 - 10, -12*r - 36 = 4*q + 28 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrrjjrjjjjjjjjjrjjjr. Give prob of sequence rj.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.5 + -855. Let l = 839 + w. Which is the second smallest value? (a) -2\/33 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 388 + -1165\/3. Which is the nearest to 1.1? (a) 3 (b) 3\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2889096*m**2 - m + 12092854 wrt m.\nAnswer: -5778192*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dduu when four letters picked without replacement from {d: 9, u: 10}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 108343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6 + (-2305)\/(-15). Suppose -2*p + 4*m = -178, 2*p + 0*p - l = -4*m. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 3*v - v)*(v**2 + 0*v**2 + 0*v**2) + 251*v**3 + 0*v**2 - 3*v**2 - 256*v**3.\nAnswer: -4*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -7*u**3 + 4*u**2 + 13*u - 7. Let k(j) = 4*j**3 - 2*j**2 - 7*j + 4. Let x(n) = 3*i(n) + 5*k(n). Let z be x(3). Are z and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 476 divided by -119.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -794825 or -794823?\nAnswer: -794825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1, 2\/431?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 27 - (0 + (4 - 0)). Suppose -583 = -4*f + 5*b, c*b - 21*b - 10 = 0. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 273\/(-845) - (-2)\/(-26)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f - 6*f - 380 = 0. Calculate the smallest common multiple of 55 and f.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5600 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 156 - 60. What is the tens digit of 51\/4 - 6\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 7 = -5*q - 0, q = -1. Let o be 177 + -6 - z*1. Find the common denominator of 9\/4 and 270\/o - (-2)\/8.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**6\/60 - m**5\/20 - m**4\/8 - m**3\/2 - m**2. Let n be k(-2). Suppose n*j = 4*j + 27. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*g + 19. Suppose g*b + 104 = 339. What is the remainder when 327 is divided by b?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*357\nAnswer: -107.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -332804b (base 13) in base 11?\nAnswer: -8932447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -n**4\/2 + 2*n**3 - 2*n**2 + 4. Solve q(b) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (9 - (37 + -14))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - z = -25. Let c(f) = f**2 + 59*f - 677. Let o be c(-69). Solve -z*q + o - 38 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**3 + 18*v**2 - 73*v + 537. Give z(7).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -59*l**3 - 1052*l**2 - 587*l - 84. Let i(h) = 61*h**3 + 1051*h**2 + 586*h + 84. Let a(b) = -5*i(b) - 6*p(b). Factor a(o).\nAnswer: (o + 21)*(7*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 137500*w**2 - 275012*w + 137508.\nAnswer: 4*(w - 1)**2*(w + 34377)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 2 (b) 10 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-6 + -37 - -15) - -12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 994161, 7953511, 26843179, 63628323, 124274101, 214745671, 341008191?\n\"Answer: 994193*v**3 + v**2 - 4*v - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**7\/2520 - m**6\/360 + m**5\/120 + 3*m**4\/8 - 10*m**2. Let k(g) be the second derivative of l(g). Factor k(p).\nAnswer: (p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 5, -5, 33, 14 in ascending order.\nAnswer: -5, -3, 4, 5, 14, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-4 - (-2 - -7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -69*u**2. Let x(y) = -5*y**2. Calculate f(x(v)).\nAnswer: -1725*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 45 = 5*f, 21*f + d = 24*f - 29. What is the highest common divisor of f and 1285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39816935 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: Is 7191458357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + 0 + 4 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*z - 15*z - 58*z - 11*z - 5175 = 0 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 1 + 4)*(0 + 2 - 1) - 2 + 0 - 1)*(-d + 2*d + 0*d) in the form z + c*d and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y - 2 + 2. Let d = -353 + 356. Let w(b) = -b**2 - 2*b. What is d*w(n) - 2*x(n)?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3780 and 279027?\nAnswer: 16741620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -12*f - 2. Let j(d) = -292*d - 64. What is -2*j(v) + 56*s(v)?\nAnswer: -88*v + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.0526 + -0.0526. What is the nearest to -3\/4 in -3, l, -4, 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*l - 14, 4*l - 3*p - 15 = 2*l. Let r = -4 + l. What is the third derivative of -5*n**5 + n**5 + 3*n**5 + 2*n**r wrt n?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31.822 or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -29 + 197 + -180 + (9 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from {e: 1, z: 3, g: 1, p: 6, a: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 7. Let v = -19 + 17. Let x be (-24)\/10*5\/v. Solve -3*y = x, 3*y + o = c + 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26760 and 11688?\nAnswer: 13032120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from disyeeee. What is prob of picking 1 s and 1 y?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 33 = 3*x - 45, -x - 5*m = -48. Let t(a) = -a**2 + 17*a + 44. What is t(x)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -71, 0.004 in increasing order.\nAnswer: -71, 0.004, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 0*t**2 - 2*t**2 - 2*t + 14*t**2 - 2 + 4*t. List the prime factors of f(3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2644 divided by -2?\nAnswer: -1322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1236523666?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-5))\/((-3)\/15). Let y(h) = h - 1. What is the units digit of y(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 119 - 122. Is s > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*t + 2*z, 7 = -5*z + 22. Let q = -1 + -2. What is the remainder when -4*15\/(q*1) is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1177029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from gdgtkkmykymk?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -36, -93, -174, -279, -408?\n\"Answer: -12*b**2 - 21*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**6\/18 - 2*k**5\/5 + k**4 - 10*k**3\/9 + k**2\/2 + 18. Find h, given that a(h) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 882 and 6?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 2*s - 16. Let t be i(-4). Let m be -4 + (-17898)\/t - (-1)\/4. Let o = -435 + m. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3726 times -2?\nAnswer: 0.7452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1418.8 + -1163. Let p = 256 - i. Which is the second smallest value? (a) 3 (b) p (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 - 885724?\nAnswer: -885710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 4 = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a - 2. Let s(z) = 3*z + 1. Let c(j) = -7*s(j) - 5*y(j). Let r(b) = -3*b + 7. Determine -10*c(w) + 4*r(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1084046 and 57\/644?\nAnswer: 349062812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 7. Let v(r) be the second derivative of r**4\/12 + r**2\/2 - 3*r - 5. Let x(f) = -4*f**2 - 2*f - 4. Suppose -3*t - 3 = -21. What is t*v(w) + y*x(w)?\nAnswer: 2*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*l - 2*x + 226, -124 = -2*l + 4*x. Suppose -4*j - 2*h = 3*h - 78, h = -4*j + l. Solve 3*y = -j + 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 4:06 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*y + 1316 = 0, -3 + 2 = -y. Let b = x - -308. Is b at most -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1 + (sqrt(171) - (sqrt(171) + -3)) - sqrt(171)) + 3 + -2*(5 + sqrt(171)*-5 + sqrt(171)))**2.\nAnswer: -41940 + 630*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5813593 to 4 dps.\nAnswer: -0.5814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*t + 16*k - 312, 1194*t - 98 = 1196*t - 5*k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74 - 69. Suppose -7*y = -2*y. Suppose g*v = -y*v + 115. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16814?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(-2 + (sqrt(52) - (sqrt(208)\/sqrt(4))**2)).\nAnswer: -6*sqrt(13) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*s**3 - s + 5 - 69*s**3 - 2*s**2 + 292*s**3 - 2*s**4 - 70*s**3 - 56*s**3 to y*s + l*s**4 + j*s**3 + i*s**2 + f and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-288)\/720)\/(2\/140).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4 - (-20)\/6). Let p be t\/(-2) - 28\/(-8). Suppose 3*j - 48 = 5*n, -p*j + 0*n + 32 = n. What is the remainder when j is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -5*t**4\/12 - 2*t**3\/3 + 2*t**2 - 7*t. Let g(o) be the first derivative of n(o). Find the first derivative of g(a) wrt a.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 3*l**2 + 4*l - 4. Let s(g) be the first derivative of -g**3\/3 - 5*g**2\/2 + 10*g - 1. Let n be s(-7). Calculate j(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 4*s**2 + 2. Let t be x(4). Let y = -36.9 + 37. Which is the third biggest value? (a) y (b) t (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - -0.1. Let j = 17\/42 - -2\/21. Let n = 0.32 - 0.02. Sort j, n, g in descending order.\nAnswer: j, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = -0.179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00041747 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 108166, 0.02, 6?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - 1\/(12\/(-31)). Let k = i - -3\/4. What is b in -k*b**3 + 0 - 1\/3*b - 2\/3*b**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7573119 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 162515320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127\/2, 1, -3\/4 in descending order.\nAnswer: 127\/2, 1, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.19 - 0.19. Let s = 0 - 5. Let t = s + l. What is the closest to t in 3\/4, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from keyy. Give prob of picking 1 y and 1 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-975)\/(-15)*(-4*(-11)\/(-132))\/(5\/(-9))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-440)\/120*1\/(-11))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -88 (b) 15 (c) 2\/9 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 49*o**5\/10 - 5*o**4\/12 + o**3\/2 - 21*o**2\/2 - 2766*o. What is the second derivative of f(a) wrt a?\nAnswer: 588*a - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 9:16 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 9*s**2 - 751*s - 16054. Calculate k(101).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 20 (b) 4 (c) 0.05 (d) -2\/15 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -50, -4, 14.62747?\nAnswer: 14.62747","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from frgzftt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 735, 1796, 3565, 6042, 9227, 13120, 17721?\nAnswer: 23030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8\/7 (b) 11 (c) -3 (d) 0 (e) 721\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -614561, -1228997, -1843445, -2457911, -3072401, -3686921, -4301477?\nAnswer: -4916075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 113*v + 25. Let f(y) = -24*y - 34. Give f(d(u)).\nAnswer: -2712*u - 634","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 9 - 5857*f - 5871*f + 11728*f - 4*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -24052632 divided by 105494\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 44 = 5*s, 2*p - 7*p + s = -84. Let l be (-2373)\/39 + p\/(-104). Which is smaller: -121\/2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 2:29 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 818561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 11*o - 13. What are the prime factors of z(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 30*w - 32.\nAnswer: 2*(w - 16)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/5 + (-2244)\/(-110)*(-80)\/(-120).\nAnswer: 62\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 156 times 2417\nAnswer: 377052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - t - 568 = 0, -4*l - 8*t = -6*t - 446. Calculate the remainder when l is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 3*l**2 - 2*l + 3. Let v be (8\/(-6))\/(4\/(-6)). Suppose 0 = v*c - 0*c. Let g be c - (3\/1)\/1. Determine p(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 5*r - 638122 + 638083 = 0, -3*h = -r + 67 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 503002 - 89031071\/177. Let o = y + 4\/59. Is o equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10055992*o**3 + o**2 + 1910132*o wrt o?\nAnswer: 60335952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -934.98 * 0.2\nAnswer: -186.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 4*k**2 - 5*k - 8. What is the tens digit of y(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v. Let l(z) = -13 + 5 - 3*z**2 + 5*z - 1 + 4. Let o(x) = x**2 - 2*x + 2. Let k(f) = 6*l(f) + 15*o(f). What is b(k(u))?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -154365007 by -154365007.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 5*s - 2. Calculate z(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + t + 114805, -4*t = -2*c + 16359 + 41061. What is c rounded to the nearest one thousand?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20002 (base 3) in base 16?\nAnswer: a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 232343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m. Let i = 493 - 493. Let q(s) be the first derivative of 2\/3*s**3 + 0*s + i*s**2 - 7. Give q(v(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 8 + 2. Suppose -4*t + 2*t = -48. Let h = z + t. Round h to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (43 - (62 + -28) - (-3 + 0))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*(-2)\/(-56)*7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 61180539.9 to the nearest 10000.\nAnswer: 61180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 316.218885 rounded to 2 decimal places?\nAnswer: 316.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2163502711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggggggg. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3523 + 0.335. What is y rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-21 - 0)\/(-3). Suppose -n - 1 = -4*b. Let s be (-2*12)\/2 + b. Round s to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/4 + 11*h**2\/4 - 9*h\/2 + 2.\nAnswer: -(h - 2)*(h - 1)**2*(h + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*d - 4*d + 3, 7*d = -5*l + 4*d - 2 + 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 smaller than 323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 14*v + 24 = -19*v, -3*v + 4 = 4*d. Find the third derivative of -19*x**4 + x**3 - 66*x**2 + 3*x**2 + 9*x**2 - 3*x**d + x**4 wrt x.\nAnswer: -504*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 15*w + 82. Suppose -4*p - 5*v + 4*v - 61 = 0, -4*p = 2*v + 66. What is the hundreds digit of f(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26*a*t + 125933*a - 7285710*t wrt a.\nAnswer: -26*t + 125933","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 123 = 4*n - 120, 0 = -14*z + 4*n + 115 - 61 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -163867.\nAnswer: 1310936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 1:24 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.3 - 75.7. Let g = m + 82.09. Let v = 0.49 - g. What is v rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-44)\/1)\/((-2 + 1)*-1). Let z = j - -29. Let w(r) = -r**3 - 14*r**2 + 13*r - 5. Let n be w(z). Solve -n = 8*x - 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 15 = -2*q - 25, 4*s + 3*q = 60. Calculate the lowest common multiple of s and 4058.\nAnswer: 24348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1460\/3 + 487. Let x = -194\/5 - -39. What is the closest to u in x, 5, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3525 is divided by 62?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 14. Let q = 17.51 + -7.51. Let n = q - g. Put -0.4, 2\/3, n in ascending order.\nAnswer: n, -0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 33188583.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8374160 or -8374164?\nAnswer: -8374160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 1.7 and -108\/2819 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 926 + -902. What is the highest common divisor of 168 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -344*m**5 + 51*m**2 - 3*m - 1765. Let j(t) = -172*t**5 + 28*t**2 - 2*t - 883. Let g(z) = -7*j(z) + 4*u(z). Find the second derivative of g(f) wrt f.\nAnswer: -3440*f**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**6\/90 - p**5\/15 + p**4\/9 - 16*p. Factor m(r).\nAnswer: r**2*(r - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + j + 1. Let z(h) = -4*h**2 + 6*h + 29. Suppose 36*m = 40*m + 4. Let d(n) = m*z(n) + 6*t(n). Differentiate d(s) wrt s.\nAnswer: 20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a. Let d(s) = 3*s. Let l(o) = d(o) + 2*w(o). Let j be l(13). Is 13 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 8:45 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 172*n**3 + 4 - 2*n**2 - 5*n**4 - 172*n**3 in the form d*n + y*n**3 + x + f*n**2 + g*n**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 1)\/(3\/21). Suppose -j = -5*b + 13. Suppose -7*o + 2*o - b*t = -102, -100 = -5*o - 5*t. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.047*-0.575.\nAnswer: 0.027025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*v = -186, 24 + 375 = 4*j - v. Calculate the highest common factor of j and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 609 - 15262\/25. Let r = -247\/7 + 1261\/35. Find the common denominator of o and r.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 16, -1, -117\/4, 1, 2\/57, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21346 + 10089. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 13*s + 30. Determine x(-6).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*l + 78*l + 71*l + 76*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 288b2 (base 12) to base 11.\nAnswer: 39569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1630, -3687, -6120, -8917, -12066?\nAnswer: -15555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 507 + -354?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 32953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 874999 to the nearest integer?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s - 43. What is p(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -51, -138, -259, -414, -603, -826?\nAnswer: -1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h = -20*h - 5*b - 35, 0 = -h - 3*b - 10. Solve -4*j - h = 3*q + 3, 0 = -2*q - j - 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 45*r**4\/2 - 109*r**2\/2 - 20*r. What is the derivative of a(o) wrt o?\nAnswer: 540*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -4 (c) -3 (d) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8*g**3 + 25*g**2 + 7. Let a(d) = -18*d**3 + 52*d**2 + 16. What is -6*a(z) + 13*c(z)?\nAnswer: 4*z**3 + 13*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41450030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1803 - 3479 + 4*n**3 + 1676.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -79 and 2.9.\nAnswer: -229.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 9742826 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 636 a factor of 21025524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102629?\nAnswer: 17, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.11203us in milliseconds?\nAnswer: 0.09011203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2823474037.\nAnswer: 7793, 362309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**3\/3 - b + 54. Let c(z) = 37*z + 3. What is c(q(k))?\nAnswer: -74*k + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 99 and 72.9.\nAnswer: 7217.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -60, 7 in descending order.\nAnswer: 7, -12, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-21))\/(10840\/(-18970)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/10)\/o**(-1\/7))**(-3\/2)*((o**(-3)\/o)\/(o**(-3\/8)\/o*o))**(5\/4) assuming o is positive.\nAnswer: o**(-5819\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2207753 (base 9) in base 4?\nAnswer: 10201232022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 9*i - 4. What is the tens digit of b(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 14.7. Sort g, -0.06, -3\/7 in increasing order.\nAnswer: -3\/7, g, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2896 and -14478\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 42?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-6) - (-3)\/(-9). Solve f*m + 2 = 3*m, a + 8 = 3*m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 6*o**5\/5 + 7*o**3\/6 - 3*o**2. Is l(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*r + 143*r - 925267 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = -1031*m + 1042*m. Solve -23*h - m = -16*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 + -68. Sort 5, u, 7, 0 in ascending order.\nAnswer: 0, u, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -4*w + 5*g, 5*w - 2*g = w + 60. Suppose w + 4 = 5*y - 5*l, -2*y - l = 4. Differentiate y*t**3 - 15*t**3 + 15 + t**3 wrt t.\nAnswer: -42*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 25*q**3 - 3*q**2 + q - 8. Let h(y) = 122*y**3 - 14*y**2 + 4*y - 40. Give -24*f(r) + 5*h(r).\nAnswer: 10*r**3 + 2*r**2 - 4*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4365, -35084, -118461, -280824, -548501, -947820?\n\"Answer: -4388*f**3 - f**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-6 - (5 + -7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -2, -19, -1, -6 in descending order.\nAnswer: 11, -1, -2, -6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 8 + 0)*(-2*s + 3*s - 3*s)*(1 - 4 + 1) to the form i + n*s and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**4 + 64071*g**2 - 2*g - 98334.\nAnswer: 12*g**2 + 128142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -27, 150, -59 in increasing order.\nAnswer: -59, -27, 1, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 2*u + 4 - 5*u + 104*u**2. Let i(c) = c**3 - 4*c**2 - 4*c + 1. Let y be i(5). Let t be q(y). What is t rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105\/126*(-18)\/(-10)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(3*(-3)\/66) + -1. Find the first derivative of 24*x**4 + y + 32*x**4 - 4 - 2*x**4 wrt x.\nAnswer: 216*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2001102130 (base 4) in base 16?\nAnswer: -8149c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n + 8*n**2 - 2*n**2 - 5 - 6*n**2 - n**2. Let l be b(-5). Factor 0 + 2 - l + 3*z**2.\nAnswer: 3*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3783154510 and 0.3.\nAnswer: -3783154509.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-6) + (-149)\/(-447)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 252365 and 92365590?\nAnswer: 92365590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 15 + 1149*w + 1507*w - 99*w.\nAnswer: 2557*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 0*m**2 + 10*m**2 - 19*m**2 + 10*m**2 - 13 + 12*m = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25 + -815?\nAnswer: -7a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 105 = -0*c. What is the remainder when 56 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c + 2. Let s be t(-6). Let q = -0.74 + 1.04. Put 2\/13, q, s, 1 in increasing order.\nAnswer: s, 2\/13, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -400, -799, -1198?\n\"Answer: -399*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 64, -2, 4\/5, 0.3?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1.2, 1\/6, 1\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 39, 153, 355, 657, 1071, 1609, 2283?\n\"Answer: 2*b**3 + 32*b**2 + 4*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 10\/3, 0.5 in descending order.\nAnswer: 10\/3, 0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -0.3, 1, -17\/2, 0.1, 1511\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-28)\/(-6))\/((-10)\/(-165)). Find the common denominator of 58\/3 and (2\/(6\/h))\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, -5, 1, 4, 2 in descending order.\nAnswer: 4, 2, 1, -5, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - m + 2*x - 34 = 0, 0 = -m - 3*x + 16. Let z = -7 + m. Solve -o - z = -2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803.\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 4, 0.4, 1.31, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/12 + (-2)\/(-3). Suppose -l*a + 7*a - 10 = 0. Solve u = -0*u + a*c - 1, -17 = 4*u + 5*c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/(-5))\/3)\/(47\/14100*12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from boboobbtootottttotto. What is prob of sequence tob?\nAnswer: 32\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 280*h - 7. Let f be (-9)\/(-6)*-2 - -5. Is q(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 5:46 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 28*l**2 - 6*l + 5. Let x be r(1). Solve -1 = -4*k - 2*h - 7, 5*h - x = 4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**8\/g)\/g*g*g*g\/(g**(2\/5)\/g*g*g))**(1\/4)*(g**5\/g**(-4))**(-21) assuming g is positive.\nAnswer: g**(-1871\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 394, 1637, 3728, 6667, 10454?\nAnswer: 15089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13797 by -518.\nAnswer: -1971\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ciy when three letters picked without replacement from {l: 1, y: 3, i: 2, h: 5, c: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 547161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/8))**(-49\/5)\/(b**(-2\/17)\/b*b)**13 assuming b is positive.\nAnswer: b**(3539\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 4) + -3 + -2 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 5*h**2 - h**2. Let w(z) = z**2 - z. Let a(d) = -d + 8. Let q(r) = a(r) - w(r). Let m(j) be the first derivative of q(j). Give m(p(o)).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1884114 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 141\/564*6*34\/(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31031, 124020, 278955, 495830, 774639?\n\"Answer: -a**3 + 30979*a**2 + 59*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5\/6 - 5282*m**4\/3 + 77319*m**3\/2 - 173425*m**2\/3 - 5460266*m\/3 - 1721860 = 0. Calculate m.\nAnswer: -5, -1, 14, 10542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203185273?\nAnswer: 857, 237089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 + 103*l**2 + 2*l**3 - 59*l**2.\nAnswer: 2*l**3 + 44*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19899 and 13266?\nAnswer: 39798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, d: 2, u: 6, k: 7, c: 1}. What is prob of sequence cn?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - i + 9, 19*d - 4*i + 45 = 22*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1668*g = 2438*g + 2072 + 75942 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 354*v + 1. Let y(z) = -473*z. Let i(o) = 4*p(o) + 3*y(o). Let k(f) = 6*f - 8. Determine -9*i(t) - 4*k(t).\nAnswer: 3*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.2, 0.51, -4, 0.3 in ascending order.\nAnswer: -4, -1\/2, 0.2, 0.3, 0.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*r + 48*r - 327*r**2 - 21*r.\nAnswer: -327*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 8 = -d, -224*d + 221*d = -z + 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.5, 4, -1, -1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 4. Let d be w(0). Suppose -d*l = -l - 159. Let j = -25 + l. Calculate the remainder when j is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/2 + r\/2 - 45.\nAnswer: (r - 9)*(r + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12.50101 and 15?\nAnswer: 2.49899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4327.944 microseconds?\nAnswer: 4.327944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 61\/2 + (-39)\/26. Solve -i = -3, -5*r - 4*i = 2 - u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -183*q**5 - q**2 - 66*q wrt q.\nAnswer: -10980*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712631?\nAnswer: 712631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 2*d + 3*d**2)*(4 - 3 - 2)*(-5 + 2 + 2).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67529584 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u**3 - 18*u**3 + 8*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-400)\/56*((-5040)\/(-32))\/(-45).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13088)\/20 + 4\/60*6. Round l to the nearest 10.\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 9*b**2 + 3*b - 1. Let g = 1 + -5. Is i(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 43*h - 170 = 10*h, -4*h + 20 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -18*w + 53. Calculate s(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.13273 litres in millilitres?\nAnswer: 72132.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 638 and 232?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 40609 divided by 70\nAnswer: 40609\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**6\/20 - x**5\/15 + x**4\/24 - x**3\/6 + x**2. Let r be y(-3). Suppose 3*t - 145 - r = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.173 + -5538186?\nAnswer: -5538185.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-2)*8\/(-24).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 1:10 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(1\/8))\/h*h**(2\/7)\/h)\/(h*h**(3\/11))**(1\/31))**26 assuming h is positive.\nAnswer: h**(-218543\/9548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 2\/27, 0, 3?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2198838322?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4, 9, 24, 55, 108, 189, 304?\n\"Answer: c**3 - c**2 + c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 4. Let z be v(6). Suppose -3*g + 7*g - 85 = -3*q, -z*q = -2*g + 60. Calculate the greatest common divisor of 75 and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 852573 is divided by 509.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*h - 5, 4*h + 4*s = 8*h - 20. Sort -5, h, -1.\nAnswer: -5, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + 0 + 4)**2.\nAnswer: 88*sqrt(13) + 1589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007658 to four dps.\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90.026 - 90. What is p rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 6*x**2 + 5*x - 6. Let b(l) = -16*l - 3. Let y be b(-3). Suppose d - y = -2*d. Suppose -3*s - d = -0*s. What is i(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10513\/10 + -1057. What is the common denominator of p and 61\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i + 2. Let n be j(1). Let x be -2 - (-6 - n\/2). What is the greatest common divisor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -759.6 - -760. Let z = 1009\/4 + -252. Which is the closest to -28? (a) 0.1 (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 3*u. Let a be x(4). Suppose 3*s = -15, -a*w + 139 = -0*s + s. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14528\/77 - 1322\/7. Which is the closest to 1? (a) 1\/4 (b) t (c) 0.05 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 17*x**2. Let m(d) = -2*d + 24. Let a be m(10). Let t be (-6 - -1)\/((-10)\/a). Let l(c) = -2*c**t - 2*c + 2*c. Give w(l(n)).\nAnswer: 68*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 27*d + 52. Let i be k(-2). What is the second smallest value in 0.1, i, -8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -s + 633, 2*s + 3*g - 881 = 411. Which is greater: 638 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/2 (b) 3882 (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 - 48. Suppose 5*q - 60 = 25. Let p = q - r. What is the least common multiple of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 11*j - 82 + 39 = -2*m - 48, -3*j + 3*m = -3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((0 + sqrt(720) + 2 + sqrt(720) + sqrt(720) - sqrt(720)) + -5))**2.\nAnswer: -5184*sqrt(5) + 104004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6109\/(-205) + 35)*1\/(-12)*-5?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1474? (a) -2\/11 (b) 4.6 (c) 18\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 197865 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwe when four letters picked without replacement from {e: 5, w: 5}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7035 = 156*o + 146*o - 101*o for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a. Suppose -x + 12 = -4*x, -5*c = -x + 6. Let m be ((-1)\/(-1) + -1)\/c. Let n(j) = 0*j**2 - 2*j**2 + m*j**2. Calculate n(b(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5660 and (400\/280)\/(6\/(-2) - 2088\/(-693)).\nAnswer: 62260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1068428, -2136871, -3205310, -4273745, -5342176?\nAnswer: -6410603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84817673?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3875 minus 0.92?\nAnswer: 3874.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 170770 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (340\/714*36)\/(((-28)\/(-490))\/(4\/(-15))).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-39) + 7 + (7 - 14). Suppose -2*g - 7 + 5 = 0. Are g and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9 - -3) + 0 + 6. Suppose 0 = 3*o - 54 - 306. Suppose -15*c + 7*c + o = w. Calculate the greatest common factor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7477255 + 7477255.13300926. Let n = w - 0.133. Round n to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4727\/12 or -1\/116?\nAnswer: -1\/116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 9 = -o, 4*h - o + 6*o - 12 = 0. Put h, -1, 4, -7 in descending order.\nAnswer: 4, h, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*y + 10, -3*r = -2*y - 2*r + 6. Suppose 4*s = 7 + 9. Let k = s - -1. Sort k, -1, y in decreasing order.\nAnswer: k, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188, 159, 90, -37, -240, -537?\nAnswer: -946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6237\/(-55))\/(-21))\/((-6)\/30)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - t + 25 = 0, -5*s + 2925 - 2960 = -2*t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + 4*l + 4. Let p be c(-3). Suppose 0 = 2*y - 0*y - 30. What is the highest common divisor of y and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.031 - 0.169. What is the second biggest value in -2\/11, -0.1, t, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1030310 (base 4) to base 7\nAnswer: -20222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -28. Suppose -5*h + 16 = -0*h + 4*v, 3*v = h + k. Let p(g) = g**2 + 2. What are the prime factors of p(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.50773mm to centimeters.\nAnswer: 0.750773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -79590000 to the nearest 1000000.\nAnswer: -80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -353*d + 348*d + 2*x + 5, -x = -5. Let t(p) = 1. Let f(w) = -8*w**2 + 16. Give d*f(o) - 48*t(o).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432357 is divided by 350.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3476926?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -16*-0.25\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -113 + 260. Let w = i - 102. Suppose -4*j - 5 + w = 0. Solve -j = a + a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 214\/4416065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -71.8 * -0.2\nAnswer: 14.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -495853*i + 495853*i + 27*i**2.\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(-2)*-2 + 88?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-2) + 27\/4. Let c = 14935 - 14933. Factor 6 - l*u**c - 27\/2*u.\nAnswer: -3*(u + 4)*(5*u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/36*674\/11121\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + y + 44 = 0. Suppose 3 - 6 = 3*b, 3*b - 17 = 2*w. Calculate the remainder when 306\/10 + w\/(-25) is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffnffnffffffnff. Give prob of sequence nn.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pphphhpppph. Give prob of sequence hhh.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.854 - 0.126. Let l = 3 + m. Let a = 0.08 + l. Sort 2\/5, a, -1\/5 in ascending order.\nAnswer: -1\/5, a, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396 = -v - 414. Let o be (1 + 30\/v)*2\/4. What is the third smallest value in 2\/7, -3, o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**3 + 630*m**2 - 34445*m - 35070 = 0. What is m?\nAnswer: -167, -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1410.474ml?\nAnswer: 1.410474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*z + 15*z - 128 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -435, -975, -1731, -2703, -3891, -5295?\nAnswer: -6915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0 = -2. Let n be w\/(12\/(-21))*-2. Let f(c) = 9*c - 7. Is f(n) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.301 times -1.629\nAnswer: -0.490329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and -720423?\nAnswer: -9365499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(5)*-2 + 2).\nAnswer: -4*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/332680 and 79\/2840?\nAnswer: 23620280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-195)\/650*12\/9*(-2)\/(-26)\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1084040.8430153 + -1084041. Let r = p + 0.157. What is r rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/28, 6, 2.615.\nAnswer: -3\/28, 2.615, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 x when two letters picked without replacement from eeqeexreeeeee?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 684155 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 - 52. Let b(d) = 4*d**2 + 1. Let i be b(y). Solve i*o = -4*o + 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 + -26. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/((-363)\/54) - -2. Let v = 56 + -64. Let j be 0 - (-4 - -37*v\/(-76)). Which is the biggest value? (a) 0 (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -16c23?\nAnswer: -16c24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6807.993862 + -6808. What is m rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -4*k - 12*k + 4*c, 2*c + 29 = -3*k + 14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (21*85\/60)\/((-24)\/(-672)) + -3.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -59*k + 54*k - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(4*o - 2*o**3 - 4*o + o**4).\nAnswer: -2*o**4 + 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -474993.003 - -39641.\nAnswer: -435352.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w**2 + 3*w + 50. Calculate v(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4756 and -0.5?\nAnswer: 2378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1296919.\nAnswer: 13, 67, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3\/3 + 54062*l**2\/3 - 108112*l = 0.\nAnswer: 0, 6, 54056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22868790?\nAnswer: 2, 3, 5, 7, 47, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-32)\/(-12160)*20*((-60)\/4)\/5)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5 = 0, -5*j + 3*j - x - 163 = 0. Let r = -78 - j. Let o(k) = -k + 9. What is the remainder when o(6) is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/((z**(-19\/4)\/z)\/z*z))*z*z*z)**(1\/6)\/(z**(-1\/30))**(9\/7) assuming z is positive.\nAnswer: z**(-163\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 520, 24 in decreasing order.\nAnswer: 520, 24, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 + 23*a - 12*a - 11*a.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/123, -1\/3, -2\/5, -5, -23, -0.03, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 y when two letters picked without replacement from {t: 1, k: 1, c: 3, i: 3, y: 1, b: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i = -310. Let o = i - 24. Is 19 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -162.2481 to zero dps.\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouuu. Give prob of picking 2 u and 1 o.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + 0 + (sqrt(13) + (-2*sqrt(39))\/sqrt(3) - sqrt(13)))**2.\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a - 5. Let z be f(-2). What is the second derivative of 9*i**5 - 3*i**4 + 5*i**4 + z*i - 2*i**4 wrt i?\nAnswer: 180*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 11. Calculate the lowest common multiple of 5 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from bbnwjswwbws?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-14)\/(-18) + 40\/18. Let l(z) = 40*z + 1. What is the units digit of l(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 2*y - 5*y)*(-2*y + 0*y + 3*y) + (-2*y + 1 - 1)*(-3 + 2 + 2)*(-17 - 23*y + 14 + 4).\nAnswer: 47*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4950 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -18\/135673 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1229*s**2 + 1043 - 1043 to t*s**2 + h*s + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + (sqrt(15) - (sqrt(15) - sqrt(75)\/sqrt(5))))\/sqrt(5) + ((sqrt(3) - (sqrt(3) - (3 + sqrt(108))))**2 - sqrt(3)).\nAnswer: 37*sqrt(3) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(891) + (sqrt(176)*-1)**2 + -1 - (((sqrt(2816) - sqrt(11)) + sqrt(11))**2 - (sqrt(1584)*-1)**2).\nAnswer: -1057 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from {m: 1, h: 2, w: 1, j: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -6. Let a be -6*(3 + (-55)\/20). Is f equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 + 2*o - 13*o + 11*o.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1\/15 (b) -3 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-7))\/((-156)\/(-3640))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -17. Let n = f + 20. What is the smallest common multiple of n and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 24*m**2 + 30*m - 616. What is q(20)?\nAnswer: 1584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**3 + 3*k**3 + k**4 + (-2*k + 2*k + k)*(-2*k**3 + k**3 + 4*k**3) + 5*k**4 - 3*k**4 + 2*k**4 as v*k + x*k**2 + o + a*k**4 + w*k**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4197 or -1\/146?\nAnswer: -1\/146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-2))\/((-2)\/(-2)). Let i = -25 - -37. Is (i\/f - 2)\/(-1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from nocjorjb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*r**2 + 52*r**2 + 47*r**2 + 4455329*r**3.\nAnswer: 4455329*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mh when two letters picked without replacement from hhmhhhmhhhhhhhhhmhhh?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-2124))\/((-81)\/(-96)*(-544)\/(-408))\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/19)\/b**(2\/37)*((b**1\/b*b)\/b)**(7\/4))**(-7\/6) assuming b is positive.\nAnswer: b**(1043\/4218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**2 - 712*d - 31684 = 0.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/267 + -523\/2937. Which is the closest to -1? (a) -0.2 (b) n (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6337*f*n**4 - 204729819*f*n**2 + 40*n**4 - 9*n**3 wrt n?\nAnswer: -152088*f*n + 960*n - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -238*h**3 + 2*h**2 + 2*h + 2. Let g(t) = -t**3 - t**2 - t - 1. Determine 2*g(i) + o(i).\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 72*d - 73*d. Let b(w) = -5*w - 5 - 5*w - w**2 + 2 + d*w. Determine b(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7236 and 0.3.\nAnswer: 2170.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -10. Suppose -f*w - 12 = -3*p, 3*p - 3 = 4*p - 3*w. Suppose -p = 2*b, 2*b = 2*h - 37 + 15. What is the greatest common divisor of h and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 61351*c**2 + c - 61352*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15853 + 15857. Suppose -2*h - 6 = -5*p + 2, 4 = 4*h - 5*p. Solve -h*l = q*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -61\/60071?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 21 = -10*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f + 132 = 27 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*p + k, p = 4*k + 4 + 21. Suppose 3*x + 2*q - 100 = -2*q, -q + 33 = x. Let m = -23 + x. Calculate the remainder when m is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13085 is divided by 375.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - 8*j + j)*(-1 - 2 + 7)*(4 + 0 - 3) to the form s*j + r and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bb - fc8a?\nAnswer: -fbcf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 11:11 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*p - 424, -j = 4*j - 11*p - 2094. Are 422 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 44*s**2 + 2*s + 2. Let v be x(-5). Let c be 15\/((-1080)\/v) - 1\/(-3). Is -15 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8347993 is divided by 927552?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232220010 (base 4) to base 8.\nAnswer: 565004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 117*f + 37 = 112*f, 3*f = -2*y - 27 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135089.\nAnswer: 135089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 872873 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 4*l**3 - 1 + 6*l**3. Let z(h) = 8*h**3 - 7. Give -6*p(r) + z(r).\nAnswer: 2*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2. Let i(f) = -38082*f. What is i(t(j))?\nAnswer: -38082*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + f - 3, 0 = 4*s - s - 5*f + 23. Let w be s*((-4)\/2 + -2). Which is the closest to -0.1? (a) -5 (b) 2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 812.0953ml in litres?\nAnswer: 0.8120953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 - 127. Let g = k - -3. Let j = g + 66.8. Put j, 1, 1\/5 in descending order.\nAnswer: 1, 1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40062*r + 481*r**2 - 53*r**2 + 40062*r + 2745*r**2.\nAnswer: 3173*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 - 11636*u + 2 + 6737*u + 0*u**2 + 4*u**2.\nAnswer: 2*u**2 - 4899*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -12. Let n(f) = -f - 2*f + v*f - f. Let a(x) = -x**2 + x. Let w(y) = 35*y**2 - 42*y. Let d(t) = -42*a(t) - w(t). Calculate n(d(m)).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence us when two letters picked without replacement from mmmmxuuxmummmsum?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 795173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 36*s - 53. Is u(-22) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zybebviv. What is prob of sequence bb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 2 - -18 - (-17 + (1 - -31)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/(-7)*-9 - 4) + 0. What is the biggest value in u, 1.7, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, 15, 421496, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.303 - 0.003. Let f = -3.6 + s. Let r = -2.9 - -2.97. Is r smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39937 = 821*u + 2210*u - 17652 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/52694 and -67\/552.\nAnswer: 14543544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 164, 4, 2 in descending order.\nAnswer: 164, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.8 - -1.2. Let j = 134 - 157. Let o = j + y. What is the smallest value in o, -7, 0.5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 3*j + 11*j)*(-4 + 3 + 0)*(j + 5*j - 4*j + (-3 - 1 + 3)*(2 - 2*j - 2)).\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -139 or -67?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/sqrt(200) + (-1 + sqrt(425) - sqrt(17)).\nAnswer: -1 + 21*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3596 - -946.155963\nAnswer: 945.796363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 21000?\nAnswer: -21012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y + 4*y - 2*y - 23*y**3.\nAnswer: -23*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 11 = -h, -3*j - 88 + 175 = h + 77 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 574 and 1446193?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7\/3*s**2 + 0 + 0*s + 1\/6*s**4 - 3\/2*s**3 = 0. Calculate s.\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1.2. Put 6.8, -0.5, d in descending order.\nAnswer: 6.8, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -481, -485, -489, -493, -497?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 61\/2 of a decade?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8922 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 234? (a) -4 (b) 0 (c) 2\/11 (d) 4 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1719 and 666.\nAnswer: 127206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 63. Let k = o + 33. What is the remainder when 23\/(k*(-4)\/56) is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 2 - j - 5\/2*j**2 - 4\/3*j**3. Let r(c) = c**2 + c. Calculate -a(g) - 5*r(g).\nAnswer: -g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l - 2. Let c be s(-3). Let v be 432\/63 + (-2)\/c. Find the second derivative of 2*a**2 + v*a**2 - 6*a**2 - 3*a wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332 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: Which is the closest to 15? (a) 1 (b) -2 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 828, 823, 808, 777, 724, 643, 528, 373?\n\"Answer: -r**3 + r**2 - r + 829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/12)\/((-8)\/(-64)). Suppose 85 = a*g + v, 3*g - 36 = v + 84. What are the prime factors of g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004832994 to 7 dps.\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33020 is divided by 649?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 16*m - 76. Determine c(19).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -65032 times 0.1\nAnswer: -6503.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjpjpjjpvjpp. Give prob of sequence jpv.\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/((-8)\/(-10) + (-14)\/(-20)). Let m(o) = 3*o + 68. Let q be m(y). What is the highest common divisor of 169 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 60803, 241720, 543247, 965384?\n\"Answer: 60305*o**2 + 2*o + 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 346647 divided by -6797.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 1. Let g = 43 + -49. Let y(n) = -n - 1. Let p(d) = -4*d. Let a(q) = g*y(q) + 2*p(q). What is -a(w) + 6*v(w)?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 529 divide 435896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-10 - -15) - -17\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**3 - 36*u**2 + 35*u**2 - 5*u + 15*u - 5*u to b + s*u**3 + m*u + l*u**2 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 39\/12 + (21\/12 - 2). Factor -55*i**2 - 5*i**4 - 5*i**5 + 60*i**2 + 0*i**t + 5*i**3.\nAnswer: -5*i**2*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3586, 4, -5, -4, 0, 1, 3 in decreasing order.\nAnswer: 4, 3, 1, 0, -4, -5, -3586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/99 and 29\/2997.\nAnswer: 32967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 8*y**2 - 12*y + 25. Determine q(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -47, 8, 85, 178, 281, 388, 493, 590?\n\"Answer: -s**3 + 17*s**2 + 11*s - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*s + 2202 - 2158 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*f - 56 = 80*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13734*h - 90539 wrt h?\nAnswer: -13734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-2.211\nAnswer: -0.4422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2167?\nAnswer: 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*r - 49*r - 14*r.\nAnswer: -19*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 1 - 3*d**2 - d**3 + d**2 + 3 - 2. Let i be w(-2). Suppose -t = -3*p + 19, -i*t = p - t - 13. Solve -5*k = -3 + p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 98\/3 + 101\/3*k + k**2 = 0.\nAnswer: -98\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1475813 - -14445.\nAnswer: 1490258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2991833 is divided by 37871.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (47 - 105) + 46\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 - -130. Suppose 5*i + 1 = -2*m - 6, 11 = -m - 5*i. Let j be m\/(-10) - h\/(-10). Solve j*c - 20 = c, -4*t + 5*c = 16 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 207*t**8\/28 - t**4\/4 - 107*t**2\/2 - 39*t - 11. What is the third derivative of m(d) wrt d?\nAnswer: 49680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z. Let l = -4 - -4. Suppose l = 5*j - z*j - 1700000. What is j rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 - (2 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.31, -449, -77\/6.\nAnswer: -449, -77\/6, -0.31, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 448197 to the nearest one thousand.\nAnswer: 448000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 2234103?\nAnswer: -2234107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 8:21 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 31, 2.\nAnswer: -5, -3, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -204, -242, -280, -318, -356?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/140*14\/(-24)*(-198)\/627*19?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 17 = -3*m - 4*f, f = 5*m - 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -64382566.8 rounded to the nearest 100000?\nAnswer: -64400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1104351.\nAnswer: 3, 368117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 3808*g - 3808*g + 3, 3*f - 11 = 5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -10, 7, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(5)*-2)**2 + (3 + (sqrt(162) - (sqrt(162) + 1 + sqrt(162))))**2.\nAnswer: -36*sqrt(2) + 238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 0, 590?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**3\/6 + 61361513*w**2\/2 + 1411963213778060*w - 4235889733376450\/3 = 0?\nAnswer: -92042270, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1056043 to the nearest ten thousand.\nAnswer: -1060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*a + 166 = 0, 549 = -2*n + 5*n - 5*a. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2109\/1554 + (-46)\/(-126) + (-4)\/18.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -117600808*m - 152062497.\nAnswer: -117600808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 + 3*j**2 - 8*j - 23. What is the tens digit of x(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.13 - 1.13. Let c = -0.6 + 0.1. What is the smallest value in c, d, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 389 divide 371679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -3088 (b) -1\/53 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -69, -159, -321, -579, -957?\nAnswer: -1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -5 - (6 + 473586\/(-48732)). Let w = -17\/62 - n. Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12710 is divided by 289?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 6:00 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 3*h + h)*(0*h**3 - h**3 - h**3) + h**4 + 6357*h**3 - 6357*h**3 + 11*h**4 + 0*h**4 - 2*h**4.\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12a0c40 (base 13) in base 8?\nAnswer: 26257475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8, -5, -18, -59, -140, -273?\n\"Answer: -2*t**3 + 4*t**2 + 5*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -955, -85, -39 in ascending order.\nAnswer: -955, -85, -39, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*((i\/(i**(-4\/9)\/i))\/i)\/i*i\/i**7*(i*i**2)**(-17))\/((i**(1\/6))**(7\/3))**(5\/7) assuming i is positive.\nAnswer: i**(-329\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1464961, 1464960, 1464959, 1464958?\nAnswer: 1464957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 690207.8 millennia?\nAnswer: 690207800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pccccppppcpcpccppcc. Give prob of picking 3 c and 1 p.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (-4)\/(-10)*(-5 + 0). Calculate the highest common divisor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*d = -304 + 2384 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 1932*a**2 + 9 + 3 - 16 - 1871*a**2. Let p(t) = -4*t**2. Determine p(k(q)).\nAnswer: -14884*q**4 + 1952*q**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 437?\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 40*i**2 + 7 - i - 3*i**2 + 17*i.\nAnswer: 37*i**2 + 16*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 60*1\/((-6)\/4). Let k = -18 - m. Calculate the common denominator of 89\/6 and (0 + 1)*73\/k.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 47, 38, 25, 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 60?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*z + 2*z + 8, -4*z + 16 = -4*v. Let y(o) = o**3 + o**2 - o + 8. Let k be y(v). Suppose k*n - 3*n = 60. Solve 3*b + n = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -459.9 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -3 + 0*k + 0*k**6 + 0*k**5 - 4\/7*k**7 + 0*k**2 + 0*k**4 - 2\/3*k**3. Find the third derivative of l(f) wrt f.\nAnswer: -480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 283353.8 to the nearest 100.\nAnswer: 283400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 742\/954*(-12)\/(-238)\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 + 39 = -5*k. Calculate the lowest common multiple of k and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4776.602 meters to micrometers.\nAnswer: 4776602000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 2*v = 2, -v = -52 + 51 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 999148 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 8, -2, -22, -52?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1591452362 to the power of 1\/3, to the nearest integer?\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 586 and 585 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from bbbbbqbbbbqbbbbbbbbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23346?\nAnswer: 2, 3, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 + 54*j - 14. Calculate r(-18).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 - 14*m - 35. Let p be b(-5). Suppose -3*o + 84 - 33 = 0. Let c = o + p. Solve -a = c*a + 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 120*l + 1 - 275*l - 299*l as w + r*l and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*d - 5*d = -15*d - 1258 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.72 + -0.24. Let q = 0.6 - j. Let s = -0.06 + q. Is s smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*v**3 + 114*v - 114*v.\nAnswer: 56*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (462\/35)\/(4\/10).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8332*p + 1. Let c(l) = 186*l + 7. Give r(c(k)).\nAnswer: -1549752*k - 58323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (19\/(-14) - -1) + 0. Let c = 1\/7 - s. What is the closest to 0 in c, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 359 - 341. Solve a*v = 14*v + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3842835 divided by -1280945?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 121229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*q + 664, 75 = -q - 3*d - 55. Let k = q + 272. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 286960*p + 573900.\nAnswer: 5*(p + 2)*(p + 57390)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 156, 158, 162, 168, 176?\n\"Answer: u**2 - u + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 4*u)*(0*u + 0*u - u + (-2*u - 1 + 1)*(1 + 2 - 2) + 2 - u - 2).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19543 - -0.1.\nAnswer: -19542.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, h: 3, s: 1}. What is prob of sequence shb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -20 + (1\/(-14))\/(59\/(-5546))\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*7 - (11 - 8) - 0. Solve -4*u + 3 = l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89144 is divided by 1621.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-2 + -1 - 0). Let o = 1 + j. Which is the third biggest value? (a) 5 (b) o (c) 4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 168\/155 - 15\/31. Factor -s*r**5 + 0*r + 3\/5*r**3 - 3\/5*r**2 + 0 + 3\/5*r**4.\nAnswer: -3*r**2*(r - 1)**2*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000184 rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18, -49, -100, -171?\n\"Answer: -10*i**2 - i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.8 + 3. Let j = -0.2 + d. Let n be 2 + (2 - 5) + (-3)\/(-9). Sort n, j, -5 in decreasing order.\nAnswer: n, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 times 203?\nAnswer: -6293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*l = 125*l - 1050. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.0165, -10, 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 143 (b) -0.4 (c) 5 (d) 0 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tss when three letters picked without replacement from sssssstssssssstttsst.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11396 divided by 11396.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 11*m - 126. Let u be v(21). Calculate the highest common divisor of 30 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*m, 4*p - 5*m = -65 + 356. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-10))\/((-12)\/328) - (1 + -11)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -5*s - 54, -s - 893 = -2*p - 881 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 121, -9, 2, -19, 3, 1, -2 in increasing order.\nAnswer: -19, -9, -2, 1, 2, 3, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in ninety-three quarters of a litre?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1b30 (base 16) to base 6\nAnswer: -52120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 5 - 2. Let d = -14 + 18. Let u = j + d. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254143965 divided by -8763585?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnzszqnccz. Give prob of picking 2 z and 1 n.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 148 = 3*d, 3*b - 3*d - 235 = -d. Let z = -241 + 274. Suppose -3*s + 3*k = -s - z, -3*s + b = k. Calculate the remainder when s is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 10*v**2 + 8*v + 59. Let f be z(11). Solve -7*t - f = -5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1095 - -1110. Solve -21*v = -z*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 261083 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*t = -62*t + 23*t + 42 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 9\/2*i**4 + 0 - 41\/40*i**6 - 8*i**3 + 7\/5*i**5 - 6\/35*i**7 + 5\/112*i**8 + 6*i**2 + 0*i. Let p(j) = 0. Calculate j.\nAnswer: -2, -1, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = -43*k + 341 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1287*s + 10 - 101 + 1279*s - 5 + 4*s**2 = 0. What is s?\nAnswer: -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, o: 8, u: 5, t: 2, n: 2}. Give prob of picking 1 n, 2 o, and 1 h.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5 - 4. Let v be (2 - 2) + (u - -1). Let o(b) = b**3 - b**2 - b + 1. Let c be o(v). Solve 0 = c*x - w + 2*w, -2*w - 5 = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253, 1988, 6699, 15874, 31001, 53568, 85063, 126974?\nAnswer: 180789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42.2 and -2?\nAnswer: -84.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(2*(-1)\/(-10)). Let k = -1088 + 1091. Put 4, k, m in descending order.\nAnswer: m, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65936 + 148*p + 65936)*(-2*p - p + 2*p).\nAnswer: -148*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2\/4 + 444*f = 0. What is f?\nAnswer: -592, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118 and 89090?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51053273*j**2 - 268*j + 592?\nAnswer: 102106546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-36))\/(((-18)\/(-12))\/(63\/(-35))).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22960091237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 529\/7, -3?\nAnswer: 529\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001100 (base 2) in base 15?\nAnswer: d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 2 = 3*m - b, -4*m + 2*b = -4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2823 + 2823.02418. What is n rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3030*o**3 - 139*o + 2309107 wrt o.\nAnswer: -9090*o**2 - 139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/8 and -57\/2821?\nAnswer: 22568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -193.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/3 + (-41 - -46).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 3*x + 2. Suppose -2*c + 0 + 8 = 0. Let o be v(c). Let z be ((-858)\/12 + 64)\/(5\/(-2)). Solve o = z*s - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.88454g to micrograms.\nAnswer: 75884540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 157*v - 1096. Let m be a(7). Solve m*r - 6*r + 4*q = 21, 0 = -2*q + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 404795?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206 + ((-2)\/(-3))\/(-2)*18 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34792050 + 136*f - 34792054 - 67*f - 65*f.\nAnswer: 4*f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u**2 + 3*u**2 + u**2. Let b(v) = 129*v - 1. Let z(q) = -480*q + 4. Let x(r) = -4*b(r) - z(r). Give x(w(h)).\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 + 6*a**3 - 4*a**3)*(3*a - a - 4*a) + (-41*a + 41*a + 13*a**3)*(-a - 4 + 4).\nAnswer: -17*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -5*n**3 - 11*n**4 + 65*n**2 - 36*n**2 - 30*n**2 + 35 + 27*n**3. Find the third derivative of j(y) wrt y.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*j + 20*j - 98*j + 35*j.\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 - 11*g + 14. Let d be t(6). Let r = d + -6. Suppose r - 8 = i. What is the least common multiple of i and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 15. Let v = t - 4. Suppose 0 = -h + 1. Put h, v, 1\/5 in ascending order.\nAnswer: 1\/5, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 + 3*a**2 + 100*a + 205. Determine s(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-3))\/(1164\/(-1746)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4)\/((-1)\/6). Suppose -20*m = -4208 + 2748. Put z, 1, m in descending order.\nAnswer: m, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/14 - (-1254)\/14. Let l = -84 + o. Let k(j) = -j**2 + j + 2. Let m be k(0). Solve -1 = -m*d - l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 + -1172412b?\nAnswer: -11724145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13837 (base 10) in base 16?\nAnswer: 360d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*2*-6 - (sqrt(50)\/sqrt(5) - sqrt(10))\/sqrt(2).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**3\/5 + 31*i**2\/5 + 11*i - 87\/5 = 0.\nAnswer: -29, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1780 + 2967.5. Let f = -1213.5028 + m. Let h = -26 - f. Round h to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1331) - ((0 + sqrt(1331))*-4 - sqrt(1331))) - (5 + (sqrt(1331) - (sqrt(1331) - sqrt(1331)*-2)))*5)**2.\nAnswer: -18700*sqrt(11) + 1539261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 0*x**2 + 5*x**2)*(-2*x + 2*x**2 + 2*x) + (0*x**2 + x**2 + x**2)*(-3*x**2 + 2*x**2 - x**2).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 11:10 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*p - 2*d, -2*p + 5*d = -0*d + 1. Suppose -3*s - 4*u - 113 = p*s, -5*u = 3*s + 73. Let c = s - -30. Solve -4*i + i - c = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 145 - 64. Suppose r = -4*b + 7*b. Calculate the highest common factor of b and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -13. Suppose 2*o + p + 1 = 0. Which is smaller: o or -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/5 - (-152)\/(-20). Let d = j + 6. Let z be -1*((-4)\/d - 1). Is 1\/5 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bboobleoeewobw. What is prob of picking 3 o and 1 e?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h = 37*h - 100 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -4)*(-1)\/(-2). Is (t - 4) + (18 - 2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 3678*x**2 - 37305*x - 278100.\nAnswer: 3*(x - 15)*(x + 5)*(x + 1236)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 290\/((-1)\/(27\/6 + -5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.01757 years to months.\nAnswer: 84.21084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 536132*a - 9114822.\nAnswer: 2*(a - 17)*(a + 268083)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-4)\/k*k)\/k)**(-9) assuming k is positive.\nAnswer: k**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 9) to base 16\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/1*(-14)\/84*-1083?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 e, and 1 n when three letters picked without replacement from njenzjeeezjzeezcc.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 + 6*g. Let w be c(8). Suppose -2 = f - 3*z, 5*z = f - 28 + 36. Suppose -m + w = f*m. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -77*o**3 + 3*o**2 + o - 4. Is w(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1830052 divided by -5.\nAnswer: -1830052\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20, 26, 32?\n\"Answer: 6*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-10))\/((-16)\/40). Solve -4*a - 5*f = 11, f - 7 + v = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c**2 - 2*c - 19. Determine b(-2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48439 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-2)\/(3 + -2). Suppose b*i - i - 2 = 0. What is the tens digit of i\/(-2)*4*10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1600, 2153, 3050, 4297, 5900, 7865?\nAnswer: 10198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -915*x**4 + 11893*x**3 - 20104*x**2 - 44*x = 0.\nAnswer: -2\/915, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 979667.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3233312022 (base 4) to base 2\nAnswer: 11101111110110001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 774109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + b = -4. Let r be (-104)\/(-20) + (0 - 3\/15). Suppose -x + r = -0*x. Put 4, -5, b, x in increasing order.\nAnswer: -5, b, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 190 + -186. Let n = -1 - -5. Solve 3*l = -c*m + 5, n*m - 6 = 3*l + 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 6*a + 144 = -0*b, -5*b - 41 = -a - 45 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70104 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177332.\nAnswer: 2, 43, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 430 divide 226248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (16 - 7) + -3 + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0033047854 rounded to four decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**3 + 14*a**2 - 4 - 14*a**2 + a**3 as z*a + p*a**3 + l + k*a**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77.8 - 25.8. Which is smaller: -4\/5 or h?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4326 and 1545?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -52561.79 rounded to the nearest 10?\nAnswer: -52560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3009822 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4045 (base 6) in base 3?\nAnswer: 1020002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -s - 11 - 1, -4*s + 4 = 3*a. Suppose -o - 96 = -5*b - 0*o, 0 = s*b + 2*o - 88. Solve 4*c = t + 7, -4*c - c + 5*t = -b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*h - 5*w, -3 = h + w + 2*w. Suppose -a = -h*a + 70. Suppose 0 = -3*m + 2*m + a. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110653*f - 110657*f - 83 = -m, f + 21 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002428921 rounded to seven dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -2. Let z be 1*(c\/12 + -1). Factor z*r**2 + r + 1.\nAnswer: (r + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/(3\/9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 14*u**2 - 31*u - 117. Determine f(-9).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9376495 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35668213 + -35652690.007. Let n = -15536 + u. Let w = 13 + n. What is w rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15160931 and 3.802.\nAnswer: -15160927.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -148*c. Let x(j) = -4*j. Calculate r(x(q)).\nAnswer: 592*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 + 66453*t**2 - 66453*t**2.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 6*n + 4. Let o be h(4). Let y be (-32)\/10 - 2\/(-10). Do o and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from {n: 4, z: 5, o: 1, d: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -800 divided by -4.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**2. Let u(j) be the third derivative of 143*j**4\/12 - 2*j**2 + 694. Determine v(u(f)).\nAnswer: 327184*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 223252 - 82252. Let n be (w\/9)\/(1\/(-3)). What is n rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 3*w**2 + 5*w - 2. Let t be (-10 + 1)\/(3\/(-4)). Suppose 5*o + 6 = 2*a, 4*o = -4*a - 0*a + t. Is m(a) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579 a factor of 72725038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + 4*j + 28*j + (-12*j + 14 - 14)*(2 - 3 + 2).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**6\/25 - 9*c**5\/25 + 9*c**4\/10 + 4*c - 7. Factor q(a).\nAnswer: 6*a**2*(a - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*z + 38*z - 13 = -5*i, 14*i - 2*z - 34 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 117\/(-5) - 10\/(-25). What is the remainder when (t\/(-2))\/(2\/4) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -95773, -191544, -287315, -383086?\n\"Answer: -95771*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2*r + 22, -6*h = 5*r - h - 95. Let b = 0 + r. Suppose b = u - 1. What is the remainder when u is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 5130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5781787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*x - 8. Calculate the smallest common multiple of 232 and x.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/13 - -8\/65. Which is the nearest to h? (a) 4 (b) 0.5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 + 9849*w + 118620.\nAnswer: -3*(w - 3295)*(w + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-2))\/(12\/96). Suppose -o - o + 24 = s*y, 5*o = -y + 15. Solve -3*p + y*p + 22 = -3*m, -5*p + m = 21 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (112\/(-24))\/14 - (-163)\/3. Let u = 78 + -56. Suppose -2*w + u = 5*y, 2*y - 32 = 3*w + 2*w. Calculate the greatest common factor of y and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from {g: 1, l: 2, y: 3, k: 4, s: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -x - 2, 13*p - 12*p + 8 = -4*x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**3 - 20*d**2 + 77*d + 2. Determine k(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15, -182, -631, -1500, -2927, -5050?\n\"Answer: -23*t**3 - 3*t**2 + 3*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 234 + -57?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9739 is divided by 4780?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2170562?\nAnswer: 2, 53, 20477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1551172 is divided by 775459?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, m: 4}. Give prob of sequence kk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 96 - 88. What is the closest to -1 in 1.5, -2\/33, s?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -1\/3, -9, -0.5, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*g - 15 = 0, 4*n + 0*n = 5*g - 20. Let u(a) = a**3 + 6*a**2 + 3*a - 5. Let x be u(n). Suppose 0 = -x*j + j + 24. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 + 34791*t**3 - 133274700*t**2 + 163857330000*t + 18329571000000.\nAnswer: -3*(t - 3900)**3*(t + 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 x when three letters picked without replacement from xxixxicpix?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 1:26 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/1)\/(12\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2011.04 - 2011. Suppose -g - 3*f + 3 = -4*g, -5*g - 5*f = -35. Does g = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 8*r**2 + 11*r + 12. Calculate d(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwkhwwzdw. What is prob of sequence wkh?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4*c + 36 = 0, -18*q - 5*c - 10 = -16*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l**3 - l**2 - 2*l - 1. Let o be a(-1). Suppose 509*y - 514*y + 3490 = 0. Let i = y + -687. Solve -2*c - 2*c = -5*r + o, -c + i = 5*r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5 = r, 0*r - 5 = -t - 3*r. Let s(k) = -143*k - 3. What is the tens digit of s(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 88*p. Let z(s) = 10 - s**2 - 8 + 5 - 7. Calculate b(z(w)).\nAnswer: -88*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4174, 2\/13, 0.3, -0.02, -16?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/162 and -83\/306?\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxnz when four letters picked without replacement from osxnnnnznbnbnnn.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 4:30 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 35*i - 123. Let j be t(31). Solve b = -j, b + 1 + 3 = -3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 0*s**2 + 0 + 5*s + 0*s**3 + 1\/4*s**4. Let d(x) = -x**2. Give d(h(i)).\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*s - 414*s - 404*s**2 + 583*s.\nAnswer: -404*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 1864884?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127619, 255240, 382861, 510482?\nAnswer: 638103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3*l - 4. Let -1\/5*p - 2\/5 + 2\/5*p**l + 1\/5*p**3 = 0. Calculate p.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 + 48. Solve a - 5*a = -u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 710753177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1174277036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v*w**3 - 1057*v*w**2 + 7*v*w + 88620*v - 1900*w**3 - 2 wrt w.\nAnswer: -12*v*w - 2114*v - 11400*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 + 3*b + 1. Let p be ((-1)\/(-2))\/((-1)\/4). Let i be n(p). Solve -i*u + 2 + 1 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*k**3*x**2 + 1182*k**3*x + 79520264*k**3 - 2344*x**2 with respect to x.\nAnswer: 6*k**3*x + 1182*k**3 - 4688*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 23*s**2 + 18*s + 89. Let g be k(22). Let o = -4 + 1. Which is the third smallest value? (a) -0.2 (b) g (c) o (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - j = 25, -5*h = -6*j + 2*j - 126. Let p = h + -42. Is 9 a factor of (24\/14)\/(p\/(-168))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 + 80 - 159 - 5*t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 104 from -949.\nAnswer: -1053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/5 - 409137*g**2\/5 - 41854203048*g\/5 - 1213427828564\/5.\nAnswer: -(g + 29)*(g + 204554)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-2)*2*((-6)\/4 - -2). Which is the closest to 1? (a) -1\/8 (b) -1 (c) v (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-5 - 3) - (-2 - 14)) + -35 + 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 4, -3\/17, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -277, -29, -382.\nAnswer: -382, -277, -29, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (339 - 46 - 51)*(-4*p + p + 5*p)*(1 - 1 - 2).\nAnswer: -968*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -41*t + 126. Solve 5*d + t = 6*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 384*u + 9216.\nAnswer: 4*(u + 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158161 is divided by 15814?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 1 + 121\/8*f**2 + 1\/48*f**4 - 11\/12*f**3 - 16*f. Factor o(d).\nAnswer: (d - 11)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81321 is divided by 11610.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/380 + 8\/(-76).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*u + 103, -3*u - 2*x + 105 = x. What are the prime factors of u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -5.6?\nAnswer: 2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**3 - 451*m**2 + 38306*m - 37856 = 0.\nAnswer: 1, 112, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (183\/(-732))\/(((-38)\/(-16))\/(-1))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/6*(-6)\/(-10)*555\/(-444)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1573) - (sqrt(1573) + 2 + 4)) + (sqrt(1573) - (sqrt(1573) + (6*(-2 + sqrt(1573)) + sqrt(1573))**2)).\nAnswer: -77232 + 1848*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9545 + (486\/9)\/9. Let c = 2946 + l. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u - 27*u - 1840 = 221*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/148 and -16\/185.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 1 + 0*z**2 + 3*z**5 - 20\/3*z**3 + 0*z + 5\/6*z**6 + 0*z**4. Factor c(s).\nAnswer: 5*s**2*(s - 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -3, 20, -0.5 in descending order.\nAnswer: 20, -3\/7, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4*(-4 + sqrt(300) + -1 - -6*sqrt(300)*-5))**2.\nAnswer: 39440*sqrt(3) + 4037089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 114406 times 5\nAnswer: 572030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2455?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 35*p - 258. Determine c(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -125, -105, -81, -53?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218986 is divided by 24331?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -2. Let r(m) = m**2 - 1. Let z be r(f). Let b = 16 - 11. Solve j + 16 = b*q, -4*j - 4*q = -5 - z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 2 = 2*s, -2*r + 211 = 5*s + 189 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 155 = 59. Let z = x - 153\/2. What is the common denominator of z and -19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -39, -42, -45, -48, -51?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1507604 times -5.3?\nAnswer: 7990301.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 23 = -5*p - 484, -2*v = -4*p - 462. Let m = v + -931\/4. Determine i so that 3\/4*i + m*i**3 + 9\/4 - 5\/4*i**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + r - 34 = 0, -2*t - 5*r - 4 + 36 = 0. Suppose -t*a + 25 = -a. Suppose -4*w + a = 1. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (8 + -7 - -6)) + (-1 - (-22 + 7)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*i + 36, d + 1 = -3. Suppose -6 = -i*l + 5*y + 26, -4*y = 5*l + 1. Let k be -1*(3\/l + (-12)\/6). Solve 0 = z, s + 4 = -5*z - k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 390, 1763, 4692, 9753, 17522, 28575?\nAnswer: 43488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 3. Suppose -4*f - v + 3 + 0 = 0, -5*f - 15 = 5*v. Suppose -4*w + 25 = -w + f*n, 5*w - 33 = n. Let z be p(w). Solve 0 = z*k + k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 3. Let h = c - 3. Let r = -3 - h. Put 4, r, -3 in decreasing order.\nAnswer: 4, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7587\/495 + -15)*-5\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -212 - -1910\/9. Let j = 4.3 - -8.7. Let p = -13 + j. What is the biggest value in y, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/9)\/x**5*(x**(-2\/3))**8)\/(((x\/x**(2\/3))\/(x\/x**(-5)))\/(x**(2\/13)\/((x**(-5)*x)\/x*x))) assuming x is positive.\nAnswer: x**(-47\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (122\/((-7808)\/(-96)))\/((-36)\/104)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*g**2 - 10*g**2 - 2*g**3 - 14*g**2 + 522*g.\nAnswer: -2*g**3 + 2*g**2 + 522*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17465\/34 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -279, -1105, -2481, -4407, -6883?\nAnswer: -9909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**4\/12 + 3*m**2. Let f be (3\/2)\/((-21)\/(-476)). Let q(t) = 5*t - 9*t - f*t - 4*t. Calculate s(q(u)).\nAnswer: -84*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 15 = -t. Suppose h - t = -0*h. What is the remainder when (8\/12)\/(1\/6) is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*j + 423 + 2079 = 1606 - 9783 for j.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7629296 tonnes to milligrams.\nAnswer: 762929600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 3*x - 56. Suppose 2*b - x*t = -5*t - 8, -4*b - 2*t = 0. Suppose -3*c + 2*c + 4 = 0. Put -38, c, b in decreasing order.\nAnswer: c, b, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4369 (base 10) in base 3?\nAnswer: -12222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 318228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, l: 5, r: 1, a: 6}. Give prob of sequence ra.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2926*x**4 - 53 - 6*x - 50 - 209*x**2 + 103 + 271*x**4 wrt x?\nAnswer: 76728*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.3689+-0.047\nAnswer: -3.4159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3250*i - 1493*i - 441603 = -233025 + 256236 for i.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 85524137\nAnswer: -4\/85524137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*2*sqrt(121))\/(sqrt(11) - (sqrt(11) + ((sqrt(11) - 3*sqrt(11)) + sqrt(11))*2)))**2 + -1.\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 21. Let y be n(16). Suppose -y*d + 12*d = 14. Solve -o + 2*c - 1 = 1, -d*o - c + 6 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*d**3 - 5866*d - 12062 wrt d?\nAnswer: -9*d**2 - 5866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3700 divided by 10.\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -15. Suppose t*s = 3*v + 4, v + 5*s = -v + 14. Suppose 3*f - r = v*r + 42, -r - 25 = -2*f. Calculate the greatest common divisor of 121 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 241243*d**3*z**2 + 224744*d**2*z**2 - d*z**2 wrt d.\nAnswer: 1447458*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/13993892 and -5\/11964.\nAnswer: 41981676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/((-69)\/(-1380))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128744 and 968.\nAnswer: 128744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85772709 and 392328?\nAnswer: 686181672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -0.28638572?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-132000)\/(-7040) + 11\/(-4). Let m be (-1 - -2 - 0) + -1. Solve -2*z - 3*a + 0*a + 12 = 0, -5*z + 4*a - i = m for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*p = -700303 + 79507. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5867 - -3886. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1020 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*x - 77 - 119 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7444 - 1339909\/180. What is the common denominator of g and -2\/3?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 43. Let a be (52 + (2 - f))*1. Is a\/(((-20)\/5)\/(-4)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001202125273 rounded to 7 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**4\/4 + 26. Let d(o) = 30*o**3 + 115*o**2 + 110*o. Let u(x) = d(x) - 25*l(x). Factor u(t).\nAnswer: 5*t*(t + 1)*(t + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/113 + 173\/2260. Let q(i) be the third derivative of -2*i**2 + 1\/3*i**3 + m*i**5 + 0 + 0*i + 0*i**4. Differentiate q(f) with respect to f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -174.\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -33. Which is smaller: m or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1684 - 9*x**2 + 10*x**2 + 504 + 688.\nAnswer: x**2 + 2876","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -15*p**2 - 92*p - 9. Let a be m(-6). Solve 3*w = a, 0 = -2*r + 4*w - 7*w - 7 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/24)\/(((-184)\/(-16))\/(-23))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o = -1244 - 1859. What is the remainder when o is divided by 52?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1603.\nAnswer: 1\/1603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1630847?\nAnswer: 67, 101, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -222 - -460. Suppose 4*g - 384 = -5*b, -3*g - 3*b + r = -47. Let f = 165 - g. Does 17 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -936\/7 + 134. Let l be (-206)\/30 + (31 - 24). Which is the closest to 0? (a) l (b) 1\/4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 + (2 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 11*c**3 + 6*c**2 - 4*c - 3. Let t be f(2). Suppose 121*h - 32820 = t*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*h + 17 = 0, 5*s + 5*h - 25 = -0. Suppose -2*w + 4*c - 19790 = -4084, 3*w - 4*c + 23565 = 0. Let k = w - -86509\/11. Which is greater: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18223793147 - 0.2\nAnswer: 18223793146.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.141 + 90.859. Let p = -0.16 + 79.16. Let d = p - z. What is the biggest value in -3, 2\/9, d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0095 + 133.0095. Let a = -2628640.87 - -2628507.869893. Let j = a + d. Round j to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d = 8*d + 252. Let z be 210\/(-72) - 3\/d. Which is greater: -4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10339 and -622.\nAnswer: -10961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*a - 30*a - 28*a)*(-a - 1 + 1) - 2*a**2 + a**2 + 3*a**2.\nAnswer: 98*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -714*q**2 - 16*q + 71 + 713*q**2 - 2*q. What is the remainder when 223 is divided by m(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299.6574 nanoseconds in milliseconds?\nAnswer: 0.0002996574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -1\/7 (c) -874203\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -333 divided by -127264.\nAnswer: 333\/127264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -149551, -299105, -448673, -598261, -747875?\n\"Answer: -k**3 - k**2 - 149544*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from {k: 2, j: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268453 is divided by 62.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -48. Let u = 39 + v. Solve 0 = -b - u + 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 9176?\nAnswer: 1\/9176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -g. Suppose 15*v - 21*v + 24 = g. Solve 4 = -4*p + 4*i, 1 = p - v*i + i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2147*x - 3917*x = 3703*x - 2464*x - 109545 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 11 + 1 = 0. Let t(o) = -2*o**2 - 5*o - 3. Let p be t(q). What is the units digit of (4\/4)\/((-2)\/p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 875?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (5 - -3) + (-293 - -161) + 7 + 5?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*m + 8, 5*w - 3*m = 3 + 9. Suppose -5*r + w*r = 6, -15 = 5*j + 5*r. Suppose 0 = -j*o + o - 10. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2112952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 5*k - 30, -k - 10 = 4*x + 4*k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8030672.\nAnswer: 2, 13, 38609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*c - 5312 = 107*c. Let s = -224 + c. List the prime factors of s.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n + 40. Let x be d(12). List the prime factors of x\/8*(-232)\/(-10)*4.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/(-6))\/(-1))\/(108\/(-2916)*12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/g**4)\/g)**(-33)\/((g**(1\/33)\/g)\/g)**(-4) assuming g is positive.\nAnswer: g**(3007\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = 3*z + 210. What is the remainder when 122 is divided by z?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 5)*(-3*v**3 + 3*v**3 - 2*v**3) + 1 + 2*v**3 - 1)*(23 - 8*v - 23)*(-2*v - 7 + 7).\nAnswer: 64*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -165\/2*l**2 + 0*l + 213 - 131\/3*l**3. What is the second derivative of w(p) wrt p?\nAnswer: -262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/5 + 2385*w - 15879006\/5.\nAnswer: (w - 1209)*(w + 13134)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - k + 1. Suppose -155*s = -158*s - 9. Calculate n(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -325564559 and -1273.\nAnswer: -325565832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -274, 2\/7, -5, -2, -4.\nAnswer: -274, -5, -4, -2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 8, -3\/8, 5 in decreasing order.\nAnswer: 8, 5, -3\/8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*2 + -3 + sqrt(153).\nAnswer: -3 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336\/192*(432\/63)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/15)\/((-4)\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9309)\/58)\/((-3)\/4). Let t be 3 + 376\/(-120) + q\/30. Which is the nearest to 3\/4? (a) 4 (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 184280882*x**3 + 34724054*x**2.\nAnswer: 1105685292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61861 - -61860.915259. Round k to three dps.\nAnswer: -0.085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196*0.076249\nAnswer: 14.944804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/5)*g\/g**6*g)\/(g**(-5)*g**(3\/5)))\/(g\/g**(-2\/5)*(g**0*g)\/g*(g*g**1)**(3\/8)) assuming g is positive.\nAnswer: g**(-47\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(9\/4)*h**(2\/7))\/((h**(-3\/8)*h)\/h**0) assuming h is positive.\nAnswer: h**(107\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i - 5*i - i**2 + (-4*i + 0*i + 2*i)*(-4 - 2*i + 4) + 1 - 2*i**2 - 1 + 4*i**2 - 2 + 2 + (-3*i - 3*i + i)*(-2 + 2 + 2*i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsau when four letters picked without replacement from aujajjsqjj?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 w, and 1 i when four letters picked without replacement from iiwihmiwhhwchm?\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -365, -721, -1075, -1427, -1777?\n\"Answer: x**2 - 359*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*x**3 - 5*x**2 + 12*x?\nAnswer: 72*x - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/72 and -2\/63320661.\nAnswer: 506565288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 26 + 37024325*s - 37024325*s - 29.\nAnswer: s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-350) + (-28143)\/(-61215)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, p: 4, o: 1, u: 4}. What is prob of picking 1 p and 1 w?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 4*m + 130. Suppose 4*r - 58 - m = 0. Calculate the remainder when 59 is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -415?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 19*j**3 + 51*j**2 - 11*j + 2. Let k(s) = -7*s**3 - 17*s**2 + 4*s + 1. Let u(m) = -11*k(m) - 4*r(m). Determine u(17).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212197.508 rounded to the nearest one hundred?\nAnswer: 212200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n - 4*n**3)*(1 - 4 + 1)*(5*n**2 - 2*n**2 - 4*n**2).\nAnswer: -8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(4\/(-3)*(-7215)\/260)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2783)\/(-9) - (-18)\/(-81). Let v(t) = 2*t + 170 + u - 13*t - 22. Is v(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 5*q + 10, 5*z + 6 = -2*q - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 7*w**2 - 10*w. Let y be j(9). Solve 4*o = y - 52 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -95. Let u be 3\/5 - o\/10. Put -3, -1, u in decreasing order.\nAnswer: u, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/60)*q*q\/(q\/((q**38*q*q)\/q))*q)\/(q**7*q\/q**(6\/23)) assuming q is positive.\nAnswer: q**(45877\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 766301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 + -61. Solve s*x = 13*x + 20 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 3 - 2 + 2 - 1 + (5 - 5 + 1)*(-1 - 1 + 0) + 1 - 4 + 5)*(-13*v + 13*v - 3*v**4 - 2*v**3).\nAnswer: 18*v**4 + 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p. Let v(g) = -87*g - 191. Let o(j) = -5*k(j) - v(j). What is the hundreds digit of o(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 0 - 1\/24*o**4 + 9*o**2 - 1\/60*o**5 + 0*o + 0*o**3. Let r(k) = 6*k**3 + 5*k**2 + 7*k. Let q(l) = r(l) + 6*x(l). Give q(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53009 rounded to the nearest 100?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 10}. Give prob of picking 4 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9711\/(-3861) - (-14)\/6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -3. Let i be 2\/(-8) + (-51)\/u. Suppose -3*t - i*v = -44, t - 2*t - v + 15 = 0. What is the highest common divisor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2428*m + 68384 - 14968 = 0 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2))**9*f**(4\/7)*f*f**6\/f)**18 assuming f is positive.\nAnswer: f**(-306\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (7 + -1)) + 26 + -19?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n = -190410 - 203192. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*x - 29, 0 = x - 15*v + 12*v - 11. Solve 0 = -3*t - 5*r - x, 3*t + 6 = -2*r + 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -1219*g + 10663. Let r be c(8). Do r and 912 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*u**2\/7 + 72*u + 1512.\nAnswer: 6*(u + 42)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c = 23*c - 3*b + 2, 3*c + 3*b = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21222021001 (base 3) to base 6.\nAnswer: -3210301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-10))\/(717\/(-180) + 4). Let q be (6\/4)\/((-18)\/t) - -4. Let a be (2 - 3) + -1 + q. Solve 5*p = -a - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4114, -3181, -1626, 551, 3350, 6771, 10814?\nAnswer: 15479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -498\/5 - -100. Let h = -646\/3 + 216. Factor 2\/15*o**4 + 0 + 4\/15*o - 2\/15*o**5 - h*o**2 + a*o**3.\nAnswer: -2*o*(o - 1)**3*(o + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 + -2)\/(194\/291)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 62996377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00849344 to four decimal places.\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 40 = -0*v - 5*j, 4*v + 5*j = -5. Suppose 2*h = -5*q - 8, -3*h - 10 = v*q + 2. Is q at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43 - -2261162?\nAnswer: 226111a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 12 + 37)*(-v + v**3 + v)*(-1 + 4 - 1).\nAnswer: 94*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1601, 3370, 5157, 6962, 8785?\n\"Answer: 9*h**2 + 1742*h - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1404)\/(-16))\/13)\/(271\/(-3252) - 1\/(-6)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12873 + 1686*r + 12873)*(-6 + 1 + 3) to the form w*r + q and give w.\nAnswer: -3372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 3*x. Suppose -8 - 10 = -9*c. Suppose -3*v = -c*w + 101 + 40, x = -3*v - 15. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3236.\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 + -91?\nAnswer: -90.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/4 - 3*r**4\/4 - 7*r**3\/4 + 7*r**2\/4 + 9*r\/2 + 2.\nAnswer: (r - 4)*(r - 2)*(r + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h - 11 + 12*h + 13.\nAnswer: 28*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - i - 1. Let x be p(-1). Let r = -1.9 - 0.1. Which is the smallest value? (a) x (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 5, 4, 11, 129, 1\/195?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 10332?\nAnswer: 1\/1148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.02276 millimeters in centimeters?\nAnswer: 0.902276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {e: 5, r: 5, u: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -5\/12*p**3 + 4 + 1\/8*p**2 - 1\/16*p**4 + 1\/2*p + 3\/20*p**5. Find w, given that y(w) = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4784615974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 77*a**2 + 11*a - 6. Let t(h) = h - 3. Let g be t(-3). Let c(i) = -39*i**2 - 6*i + 3. Let n(w) = g*x(w) - 11*c(w). Differentiate n(z) wrt z.\nAnswer: -66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2759 - -2756. Suppose -4*k = 5*p, p - 2*p = -4*k - 24. Let u = -0.39 - -1.39. Put s, k, u in decreasing order.\nAnswer: u, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a + 2 - 2)*(7*a**2 - 5*a**2 + 4*a**2) + (-3*a**2 - 2*a**2 + 7*a**2)*(-3 + 3 - a) to d + v*a**2 + i*a**3 + r*a and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 4\/7, -0.3, -7, -3.42, -3 in ascending order.\nAnswer: -7, -3.42, -3, -0.3, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 30*r - 1323. Let s = r + 93. Calculate the highest common factor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5589.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -29695b (base 15) to base 3\nAnswer: -10202110000012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 187 in decreasing order.\nAnswer: 187, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o = 4*x - 5, -2*o + 10 = 0. Let h(y) = 11*y**2 + 9*y**2 + 5*y - 1 - 21*y**2. Give h(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 390*(-6)\/(-33) + 2\/22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzz. Give prob of sequence zz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-3 + 5 + (-5 - -5 - 0))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 593*y**4\/24 - 13*y**3 + 8*y**2 + 4*y. Is i(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1519 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/6 + 4\/(-6). Suppose -4*o + 79 = -13. Suppose 0 = -6*r - o - 13. Are r and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6534) - -3*sqrt(6534))\/(sqrt(6)\/sqrt(8)).\nAnswer: 264*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -781 + 483 + c + 423 + (0 + 0 - 2)*(c - 2*c + 0*c).\nAnswer: 3*c + 125","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -3*z + 2*z. Round z to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/18*20\/(-31). Let m = 18\/31 + y. Let r be 14\/(-60) + (-2)\/(-6). Put r, m, 2 in descending order.\nAnswer: 2, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*sqrt(152))\/sqrt(8) + sqrt(133)\/(sqrt(14)\/(sqrt(12)\/sqrt(6))).\nAnswer: -2*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6)**(24\/11)*(x*x**(1\/4))**(2\/43) assuming x is positive.\nAnswer: x**(12439\/946)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.4 + -2. Let j(g) = -22*g**2 + 2*g - 3. Let o be j(1). Let l be ((-69)\/o)\/(-1 - 0). Which is the third biggest value? (a) l (b) -6\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n**3 + 23*n**2 + 28*n + 14. Give k(-6).\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79551.96kg to nanograms.\nAnswer: 79551960000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 155676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 780231672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**3\/6 + 13*a**2 + 5*a. Let r be f(0). Suppose -2*u - r = -2*l, -5*u - 5*l - 65 = -3*l. Is -13 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 130 - 121. Solve -p + 2*g - 5*g = z, -p - g - 3 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x**5\/5 + 9*x**4 - 23*x**3 + 17*x**2 - 177. Factor r(a).\nAnswer: -a*(a - 34)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2. Let b(w) be the third derivative of 25*w**4\/12 - 26*w**2. Calculate b(n(z)).\nAnswer: 100*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.33 + -905.\nAnswer: -884.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2753476 + -2754382.25984. Let z = s - -906. Let c = -0.26 - z. What is c rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379561677.\nAnswer: 3, 11, 11501869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19 and 39.11?\nAnswer: -743.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.62 - 161.38. Let r = 169 + m. Is 558 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y + 11. Let q be l(-12). Let j = q - -648. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40540.373 to the nearest 10.\nAnswer: 40540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 22. Let c be m(-20). Which is smaller: -3\/4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqdqdqdqqddqdqdddq. Give prob of sequence dd.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 8*f = 0. Suppose f = -7*p + 4*p + 2*d + 74, p - 23 = d. Suppose 0 = -4*t - 3*l - 23, 5*t + 4*l + p = -0*l. Let y(h) = h + 11. Give y(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -501 + 0?\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 48 = 40. Suppose -y*o - 2*o + 294 = s, 369 = 5*o + 2*s. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430*v + 430*v - v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*x**4 - 5*x**2 - 9*x**4 + 4*x**2 - x + 8*x**4 - x**3 as i*x + r + t*x**3 + w*x**4 + h*x**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five thirds of a hour in minutes?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5.400454 years?\nAnswer: 0.005400454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 120 and -57.\nAnswer: -6840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 1. Let y(t) = 7*t - 3. Give -r(c) - y(c).\nAnswer: -8*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4402213001 (base 5) to base 13.\nAnswer: 1c47926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l**5*l))\/l)\/l*l**(-20)\/l*l)\/(l**(-16))**(-27))**(4\/11) assuming l is positive.\nAnswer: l**(-1836\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 n when three letters picked without replacement from {g: 1, n: 1, c: 1, v: 4, x: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 - 48. Let n be m - (-8 - (2 + -1*4)). Solve -4*g - 10 - n = -2*i, -4*i + 15 = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 2*t**2 - 2*t**2 - t + 9 + 0*t. Let o be j(4). Suppose 0 = -m - o*m - 30. Which is greater: -34\/7 or m?\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41116960?\nAnswer: 2, 5, 256981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 10159207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -12*b**6\/5 - b**3\/2 + 27*b**2\/2 - 2*b + 179. Find the second derivative of q(g) wrt g.\nAnswer: -864*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/117915 and -9\/8638.\nAnswer: 145507110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11332.346 + 0.4?\nAnswer: -11331.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(605) - sqrt(605)) + -3 + (sqrt(605) - (-2 + sqrt(605))))**2.\nAnswer: 154*sqrt(5) + 29646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 2. Let d(v) = -v**3 - 14*v**2 + 30*v - 20. Let y be d(-16). Suppose i = 2*q - 5 + y, q + 26 = 5*i. What is t(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 402342?\nAnswer: 402342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -9795, -101 in descending order.\nAnswer: 33, -101, -9795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 183345 or 550037\/3?\nAnswer: 550037\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15967 - -3?\nAnswer: -15964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 281818 and 2818180?\nAnswer: 2818180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1722\/(-28)*(-2)\/3. Calculate the highest common factor of i and 1763.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104 and 15964.\nAnswer: 31928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 480 and 4392660?\nAnswer: 35141280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/3 - 262*y**2\/3 - 21056*y\/3 - 476672\/3.\nAnswer: -(y + 38)*(y + 112)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 338346, 338347, 338348, 338349?\nAnswer: 338350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d - 3. Let g be -1*(-2 - d\/1). Suppose -3*m + 264 = m - 4*i, -g*i = m - 54. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b - 8 = 0, -141 = 5*m - 2*b. Let v = -13 - m. Solve 0 = 2*c - 3*c - 4, 4*c = x - v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -173 + 174. Suppose -5*o + 10 = d, 4*d + h - 107 = 2*o. What is the highest common divisor of d and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*x - 4*x - 5*x + 237*x**2 - 567*x**2 - 498 wrt x.\nAnswer: -660*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-6)*1)\/((-6)\/(-108)). Let l be (n\/(-6))\/(2\/3). Solve -z + l*z = 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1577*i**5 + 58*i**2 - 18621*i wrt i?\nAnswer: 31540*i**3 + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 133817 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 1111212212?\nAnswer: -1111212220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 6*q**2 + 2*q + 5. Let i be v(4). Let x = i + 1. Let w be (-9)\/4*6\/x. Sort 1, 0.1, w in ascending order.\nAnswer: 0.1, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 1. Let t(p) = -11*p**3 + 5. Give -s(b) - t(b).\nAnswer: 10*b**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 8*z**2 - 6*z + 9. Suppose 0*v + 10 = 3*u + v, 2*u - 7 = -v. Suppose -7 = u*f - 2*f. Let b be w(f). Sort b, 3, 0 in ascending order.\nAnswer: 0, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - k - 17, -7449617 = 5*x + 12*k - 7449455 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-64)\/(-3) + 2\/3. Let h = m + -130\/3. Calculate the common denominator of ((-9)\/2*6)\/2 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 574 - 40\/(40\/4). Calculate the greatest common divisor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 114*z**2 + 113 + z**4 - 288*z - 56\/3*z**3. Determine w so that g(w) = 0.\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/462)\/(10\/((-980)\/742))?\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6131 + -12645?\nAnswer: -5514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 1.5. Suppose 3*i = -12 + 3. Let f be ((-48)\/14 - i)*1. Which is the biggest value? (a) f (b) 0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100 divided by 1?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000036411 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8*1*(4 - 3). Suppose 2*o = y, o + 6 = 4*q - 2. Suppose -q*b = 2*b. Solve -2*i + b*z = -4*z, -2*i + 2*z - 4 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -1\/3 (c) 148 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 452 = -2*h, 26*j - 31*j + h + 1124 = 0. Suppose -487600 = 229*o - j*o. What is o rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 3*u**2 + 79*u + 35. Calculate the remainder when q(-11) is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*p + 8. Let m = 15 - p. Suppose m = l - 0*l. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 12*x**2 + x - 12. Let c be g(12). Suppose o = c, r - o = 6 + 56. What is the remainder when r is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -435327 > -435294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4093987461 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4778 = 10*h + 3028. What is the greatest common divisor of h and 675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*q - 111 = 0, -5*q = 4*m - 764 + 215. Let d = 3 - -22. Suppose -h + d = -8. Calculate the remainder when m is divided by h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -11*v + 634. Is 5 a factor of n(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykdkn. What is prob of picking 1 y and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20, -50, -98, -164, -248, -350?\n\"Answer: -9*b**2 - 3*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -5 - (-36 - -40)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5144 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 191\/4 + 2\/8. Suppose 0 = 2*l + 8, q - 4 = 4*l + 32. Let f = q + -8. Calculate the highest common factor of f and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 23*o**4\/24 + 229*o**2. Let k be r(0). Sort k, 2, 27, -5 in descending order.\nAnswer: 27, 2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/142*2*(-2)\/20. Let c = 9623\/26980 - p. Find the common denominator of c and -87\/14.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 i, and 1 q when three letters picked without replacement from {w: 1, i: 1, q: 1, n: 1, p: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 - -1) - (2 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 26 = -3*i - 2*u, -2*i - 5*u = -24. Let f(z) = -z - 6. Let v(h) = -h**2 - 5*h - 3. Let k be v(-6). What is the least common multiple of f(k) and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 2:34 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7581\/5 - -1522. Find the common denominator of w and 9\/21 - (-106)\/14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 2*q - 8. Suppose 0 = -q*r - 0*r + 72. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a9 (base 12) to base 14.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18567 + 18569. Factor 2\/13*v**b - 2\/13*v + 0.\nAnswer: 2*v*(v - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -1. Suppose -5*y = o - 2*o + 5, -3*y + 5 = o. Put c, -4, y in increasing order.\nAnswer: -4, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-24)*6*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o - 68. Let i(n) = -47*n. Calculate i(h(c)).\nAnswer: -94*c + 3196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4077 * 2.\nAnswer: -8154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/10 (b) 2 (c) 0 (d) 18\/25 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-6))\/(4\/((-24)\/(-9)))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*i + 10*i - 2*i)*(-i**2 - 1 + 1).\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/9))**(7\/3))**(-10) assuming z is positive.\nAnswer: z**(140\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 23 = 4*q. Suppose -h = 2*f - 0*f - 19, -3*f + 4*h = -q. Solve 1 = -2*y - f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 164027953 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, e: 1, h: 2, w: 1, b: 4}. What is prob of picking 1 e, 1 w, and 1 g?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 38538+-1387642541\nAnswer: -1387604003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 36, 14, -5, 6, -25, -4 in decreasing order.\nAnswer: 36, 14, 6, -4, -5, -25, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccoe when four letters picked without replacement from emcuocuammoeemou?\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-74*3)\/((-23)\/115).\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 8. Let d be a(2). Suppose -4*y - 3*s + 8*s = -85, -3*s - 3 = 0. What is the greatest common divisor of y and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - s + 236, -7*g + 11*g + 5*s = 236. Suppose -10216 = -4*o + 4*r, g*r + 7662 = 3*o + 54*r. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -916631 (base 11) to base 9\nAnswer: -2684325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/36*12\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((483\/(-598))\/(-21))\/(1\/(-8))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-105)\/(40425\/154))\/(12\/5)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1382821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a year?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*q - 241*q - u = -2, 0 = 3*q - 3*u + 42 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + s + 6*s)*(s - 2*s - s) + (1 + 1 - 1)*(2 + 2*s**2 - 4 - s**2).\nAnswer: -15*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111221220202 - 2?\nAnswer: -1111221220211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*n - 30 = 85, 0 = p - 4*n - 5. Suppose -324 = -p*a + 23*a. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 420 + 243*y - 420 + 2*y + 2 - 2 + (3*y + 0*y - y)*(1 - 4 + 1).\nAnswer: 241*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 283 - 279. Let i = 0.6 + -1. What is the third biggest value in -3, h, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6 = -0*a + 2*u, -5*u + 13 = 4*a. Solve -a*v - 2 = -6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 d when four letters picked without replacement from {r: 2, x: 5, o: 3, d: 6, h: 2}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/9)*k*k**(1\/5)\/k*(k**3\/k)\/(k**(-3)\/k))**(-4\/9) assuming k is positive.\nAnswer: k**(-1156\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13983399109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10210 and 8168?\nAnswer: 40840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 2*t**2 + 4*t + 2. Let g(r) = -r**2 - 7*r - 2. Let w be g(-7). What is f(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48.1 + 47.8. Is p greater than or equal to 312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjj when three letters picked without replacement from {j: 5, m: 3}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 1. Let m(o) = o**2 - 6*o + 1. Let t(s) = -4*i(s) + m(s). Let k = 10 - 6. Calculate the remainder when t(4) is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193 + 171 + 35 = 133*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23851*6.\nAnswer: -143106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234358*f + 561 = -234347*f for f.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 6. Let d = -11 + 14. Let f be l(d). Sort 5, f, 0 in decreasing order.\nAnswer: 5, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*i - 417*i**3 - 79 - 11*i + i**2 + 79 as l*i + v*i**3 + a + f*i**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 19023?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -7. Let w = y + -10. Suppose 0 = -4*p - 2 - 2, -w*p - 56 = -2*g. Calculate the remainder when 80 is divided by g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357427632?\nAnswer: 2, 3, 71, 104879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31447524 and 2336.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2. Let q(t) = 2670*t**2 - 15*t. Let g(x) = 383*x**2 - 2*x. Let s(i) = 15*g(i) - 2*q(i). Calculate y(s(v)).\nAnswer: 492075*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k + 19 = 79 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-47 - (-8 + 2))) + -3 + -8?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -317*v**3 + 453*v**3 - 113*v**3.\nAnswer: 23*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4133*u + 104*u + 1308 + 1306 - 2614.\nAnswer: -4029*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*p**2 + 13*p + 5*p**2 - 15*p as s + k*p + d*p**2 and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 2*i - 2*i + 3*i + 2*i**2 + 2. Determine m(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 0.09829?\nAnswer: -0.039316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2926.28 + 2786.213. Let j = n + 140. Round j to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) -4 (c) -0.3 (d) -9\/7 (e) -5\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.2 (b) 1 (c) 6 (d) 0.4 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k*l*s**2*t + 3*k*l*s**2 - 2*k*l*s*t + k*s + 428*l*s**2*t - 2*l*s*t + 2689*s*t wrt s.\nAnswer: 4*k*l*t + 6*k*l + 856*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 11*d + 399. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411897497.\nAnswer: 11, 1237, 30271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 100 - 56. Let k = r - 42. Let l(w) = -2*w**2 - 7*w**k + 5*w**2. Let b(j) = 2*j**2. Determine b(l(q)).\nAnswer: 32*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 66\/15 + 4\/(-10). Let b = 4 - 2. What are the prime factors of (b\/t)\/(6\/144)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (8 - 33) + 10.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1612 - 1600. Solve -p + 14 - n = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21995\/100 - (-1 - -2). Let f = 1141\/5 - d. What is the common denominator of f and 17\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 12, -5*d + 2*f + 151 = 27. Calculate the remainder when d is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**3 - 92000*x**2 + 530926708*x - 22136930088 = 0.\nAnswer: 42, 11479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 not equal to -59\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27861\/3765*(-261)\/58*2\/(-9)?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + sqrt(66)*-2 + sqrt(66))*4)\/((sqrt(60)\/sqrt(2))\/sqrt(5)) + ((sqrt(275) + 3)*5 + -1)**2.\nAnswer: 700*sqrt(11) + 7071","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from {u: 1, m: 1, e: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -o - 5*b + 44, -4*o = 4*b - 168. Let d = o - 36. Let i(a) = a**2 + a - 3. Determine i(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 20. Let o(j) = 6*j - 5. Suppose 0*s - s = 4, -4*p + 2*s - 4 = 0. Let t(k) = 5*k - 4. Determine d*o(l) + p*t(l).\nAnswer: -3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(-29)*b**(3\/7)\/b*b\/(b\/(b*((b*b**(1\/9))\/b*b)\/b)) assuming b is positive.\nAnswer: b**(1861\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(11) + 2 + sqrt(44)\/sqrt(196))**2 + (4 + sqrt(33)\/(sqrt(72)\/sqrt(6)))**2.\nAnswer: -52*sqrt(11)\/7 + 22059\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h. Let q(o) = -664474*o. Give q(n(a)).\nAnswer: -664474*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + 7 + f**2 + 35 as z*f**2 + u + h*f and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8448 - -185929\/22. What is the common denominator of a and -81\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 57 + 0\/(-2) - -3. Let z be 6\/9 + h\/18. Solve 3*q + 9 + 1 = -z*x, -4*q - 2*x = 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n - 84. Let z be w(43). Solve z*p - 16 = 4*r, -3*r - 3*p = r - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17254, -17429, -17602, -17773, -17942?\n\"Answer: x**2 - 178*x - 17077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6 - 2)*(-18)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/50 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8925790, -17851620, -26777450?\n\"Answer: -8925830*o + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/36 and -59\/1044.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 15*z - 21*z + 6*z - z**2. Let k(n) = 14*n. What is k(i(h))?\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -19 (c) -8.7 (d) -0.4 (e) 0.4 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -62, -76, -44, 34?\n\"Answer: 23*u**2 - 83*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (28\/(-20))\/(7\/(-35)). Suppose -j - 9 = -2*c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 34916\/11 (b) 1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -883?\nAnswer: 264.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(350)\/(sqrt(343)*2).\nAnswer: 5*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -1 + -4 + sqrt(36)\/(-2*sqrt(12)))**2.\nAnswer: -5*sqrt(3) + 103\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -50\/3*h**2 - 52\/3*h + 4*h**3 + 10\/3 = 0.\nAnswer: -1, 1\/6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 29 + 55. Let h = 4 - d. Suppose 3*l + 2*l = 45. Calculate the remainder when h is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 293374175 divided by 58674835\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/4 + 5319*i**2\/4 - 5310*i + 5307.\nAnswer: -3*(i - 1769)*(i - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 0 + 0*m**5 + 0*m**4 - 2\/3*m**3 + 0*m**6 + 0*m - 1\/42*m**7 - 5*m**2. Differentiate q(x) with respect to x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 305\/4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - (1 - 4)) + (-848 - -809)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115 - 85. What is the hundreds digit of ((-594)\/q)\/((-9)\/60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of ((-35)\/(3500\/9360))\/(2\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejjjejkek. What is prob of picking 2 e?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -74 + 142?\nAnswer: bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10*z + 6. Let h be c(-4). Suppose 4*k = 3*m - h, -m = m - 2*k - 34. What is the remainder when m is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34*(-3 + 28\/8). Calculate the highest common divisor of m and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 428\/3 - 136. Does p = 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6184*j**3 + 4*j**2 + 12*j + 8. Let b(h) = 3283702*h**3 + 2123*h**2 + 6369*h + 4246. Calculate 4*b(l) - 2123*y(l).\nAnswer: 6176*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/37100 and 41\/80.\nAnswer: 148400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 8:35 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11836 divided by -46\nAnswer: 5918\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -56940b (base 12) to base 4\nAnswer: -11102010023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2888 is divided by 155?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 3, -31, -6\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/4, 0.5, 4\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 0.4, 2\/13, 92?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -270 + 268. Let s = 80 + -88. Which is the third biggest value? (a) s (b) 0.05 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - j = -228. Let z = -54 - j. Calculate the common denominator of 18\/5 and (-1)\/1 + z\/14.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35a (base 15) to base 7.\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g - 39 + 39 as m*g + d and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491730313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*u = -95 + 137, -h + 12 = u. Factor 0 + 6\/11*q**3 - 156\/11*q**h + 1014\/11*q.\nAnswer: 6*q*(q - 13)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 568, 1053, 1538, 2023?\n\"Answer: 485*j + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 40\/30*9\/2. Suppose -5*z - 3*p = -19, -s*z - 4*p = -9*z - 6. Suppose z*q + q = 336. Is 28 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11318 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 113826 (base 10) in base 7?\nAnswer: 652566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 9578788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*q + 122*q + 122*q + 440 = 0 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039952155 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 46004933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-7))\/((-10)\/(-35)). Let z(b) = -7*b - 1. Let l be z(-1). Suppose 2*k - 3*f + 6 = 0, -f = -4*k + 2*k - l. Is t at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3000 + 50?\nAnswer: 3050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7\/3)\/g*g**1*g)\/(g*((g\/(g\/g**(-3\/8)))\/g)\/g*g*g*g**(-8\/3)) assuming g is positive.\nAnswer: g**(17\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 547724 or 547730?\nAnswer: 547724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 + -0.02. Let z = 4.03 + -0.03. Which is the nearest to g? (a) 1\/11 (b) z (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 5*v + 55. Let w = -2.605 + 2.105. Which is the nearest to 2\/3? (a) v (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*q - 0*q + h, -4*q - 4*h = 36. Let j = q - -14. Let m(t) = -16*t + 8*t - j*t. Let r(l) = -l. Give m(r(y)).\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7264.931 decades in years?\nAnswer: 72649.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxwwpxpdppwdpnwcw. Give prob of sequence pcn.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13959160 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 191 and -7067?\nAnswer: 7258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16570 and -0.5?\nAnswer: 16569.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 100 = -2*y. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*y + 88 = -14*y. Let q(o) be the third derivative of 14\/3*o**3 + 0 + 0*o**y + 0*o - 11*o**2 + 7\/20*o**5. Differentiate q(w) wrt w.\nAnswer: 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -8. Let u = 335\/6 + -685\/12. Which is the fourth smallest value? (a) m (b) 1 (c) u (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1576 = -q. Let t = q + 3903\/5. Let l = -20007\/16 - -1250. Calculate the common denominator of t and l.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gygggyygyg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 228061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b + b)*(-1 + 1 - 1)*(2 - 6 + 7).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l + 6*u + 50 = 10*u, 6 = -3*l - 5*u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 3:09 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 5*c - c**2 + c - 2*c. Suppose -2*w = -3*w. Suppose w*o + 4*o + 20 = 0. Let m(i) = -i**2 + 3*i. Calculate o*m(q) + 3*x(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -926*i + 279*i + 825 = -1815 + 52 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 485 - 849?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -202123, -202118, -202113?\n\"Answer: 5*k - 202128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 8:05 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*k - 25116900, 33*k + 8372300 = 32*k - 2*v. Round k to the nearest one hundred thousand.\nAnswer: -8400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1254385585?\nAnswer: 5, 47, 5337811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 300\/(-5)*(0 + 3)\/(-6). Suppose 0 = 47*k - 41*k - l. Solve c = 3*v + 8, -5*c - v = -k - 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2*10\/(-40))\/((-1)\/(-18)). Suppose 0*r - 3*r + 24282 = 0. What is the derivative of -8060 + t*w**2 - w + r + w wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 2*t + 1. Let r(o) = o**2 - 5*o - 1. Let j be r(6). Suppose p + 4*y = j, -9 = -2*p - 2*y + 13. Suppose 8*d - p*d - 15 = 0. Give h(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 64*v**2 + 8*v + 4. Let p be x(-3). What is p rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(o**2 - 2*o**2 + 0*o**2) + (2*o**2 + 0*o**2 + o**2)*(-1 + 1 + 3).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1806 = -224*v + 882 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75986*m = -p - 75985*m - 4, 0 = 4*p + 2*m + 40 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + 67 + 0 + -9 + 3 + 5 + 20.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*-2*6)\/(sqrt(12) + ((sqrt(192) - (4*sqrt(192) + sqrt(192))) + sqrt(12) - sqrt(12))) + 3 + -1)**2.\nAnswer: 16*sqrt(7)\/5 + 212\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2089654*t**2. Let p(k) = 117*k**2. Calculate x(p(u)).\nAnswer: -28605273606*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23213 + 23214. Let b = 2 - -1. Suppose 4 = 4*h, -3*h - 52 + 15 = 5*y. Sort b, y, l in descending order.\nAnswer: b, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1200) - sqrt(48))\/sqrt(4) + sqrt(432))\/(2*sqrt(54) - (sqrt(6) + -1*sqrt(24)\/sqrt(4))).\nAnswer: 5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 975384?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31278368?\nAnswer: 2, 11, 17, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 + -1. Let k = 10.9 - 10.82. Is f bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9088 + 9088 + q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26500283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1363.7 - -1364. Let i = -22.9 - -23. Put i, m, -4, 0.4 in ascending order.\nAnswer: -4, i, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, y: 6}. Give prob of picking 3 y.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -54.1 + 46.1. Let w(f) = -f**3 - 4*f**2 - 1. Let r be w(-4). Which is the nearest to u? (a) r (b) 2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(14\/(-40))\/(-1). Let o = m + 11\/10. Let t = 127 + -131. Put t, o, 3, 4 in increasing order.\nAnswer: t, o, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 16 = 3*n + f, 0 = -2*f - 8. What is l in 2\/3*l**2 - 1\/3*l**n - 2\/3 + 1\/3*l = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - (1 - -4)) + 2 + 4. Which is the fourth biggest value? (a) z (b) 1\/3 (c) 0 (d) -1 (e) 113\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/4 - 48*s + 196.\nAnswer: -(s - 4)*(s + 196)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - h - 73 = -s, 0 = 4*s + 2*h + 56. Which is smaller: s or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*d - 602 + 60*d + 171 - 119*d.\nAnswer: -2*d - 431","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 9*x**2 - 24*x + 148. Calculate l(0).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79774121, -79774130, -79774143, -79774160, -79774181, -79774206?\nAnswer: -79774235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -4*q - r - 49, -4*r - 24 - 58 = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 b when four letters picked without replacement from bbpbp?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 - 4326*m**2 - 634560*m - 24614400.\nAnswer: -3*(m + 80)**2*(m + 1282)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 26*n**2 - 170*n + 4365. Calculate l(25).\nAnswer: 740","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/2*(-28)\/6. Let w(b) = 0*b + 6*b + 4 - 3 - b. Let k(t) = -9*t - 2. Give j*w(g) + 4*k(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7730410284 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wpppppppwwp.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/21)\/(d\/(d**(-4\/9)*d)*d))\/(d**(-6)*d\/(d*(d*d**12)\/d*d)*d) assuming d is positive.\nAnswer: d**(1037\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24211733 (base 8) to base 12.\nAnswer: 1942b37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2 = -3. Sort 3, -5, f.\nAnswer: -5, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/36 and 139\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 4*z - z)*(6*z**3 - 2*z**3 + 11*z**3) + 3*z**4 - 3*z**3 + 3*z**3 - 2*z**4 + z**2 - z**2.\nAnswer: -14*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) -33 (b) -0.08 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*u + 50058 - 50814 for u.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2424*p = 2441*p - 323 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(18))\/sqrt(6) + sqrt(12)\/sqrt(4)*3)**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 48431.33ng?\nAnswer: 48.43133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 1659.\nAnswer: -1664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 11*h + 2*h**3 + 11 - 5*h**2 - 30 - h**3 - 8. Let l be p(8). What is the greatest common factor of l and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/(((-8)\/2)\/(-4)). Let z be g\/2*26 + -1. Suppose -z = 3*p + 2*d, -13 = 4*p - 4*d + 183. Is -47 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228 and 58480788.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 2, -5 in decreasing order.\nAnswer: 4, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**2 - 467. Let y(c) = -348*c**2. Give y(t(f)).\nAnswer: -1392*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27470471 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = y - 4*y + 87, -5*y - 4*c = -128. Let q = y - 22. Suppose -q = -4*j + j. Solve -j*k - 12 = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*k**2 - 2*k**2 + 3*k**2)*(-1 + 0 + 2) + 4*k**2 - 2*k - 3*k**2 - 2*k**2 + 2)*(4*k - 13 + 14 + 2*k).\nAnswer: -18*k**3 - 15*k**2 + 10*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 5)*(-2*o + 0*o + 0*o + 27*o + 50*o + 3*o + o + 2*o - 5*o + (-2 + 2 - 2)*(-1 + 2*o + 1)) - 13*o - 19*o + 11*o to w + h*o and give h.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and -0.27.\nAnswer: 0.0216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (17 - 6) - -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 1210?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 9*b**2 - 2*b + 5. Let k(o) = -o**3 - 8*o**2 + o - 4. Let q(t) = -5*k(t) - 4*l(t). Solve q(i) = 0 for i.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 750990719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61100*s + 194404 = -59266*s for s.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 796317.57 seconds?\nAnswer: 221.199325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-10)*(-5)\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-532)\/69160*(-30)\/(-3))\/1?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 15*k - 15. Let q be s(8). Calculate the highest common divisor of q and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*k*v**3*w - 5*k*v**2*w - 2*k*v**2 + 2*k*w - 3*v**3*w + 2*v**3 + 17*v*w wrt v.\nAnswer: -96*k*w - 18*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 22 - 4*a + 3.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -85*d + 90*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1494 is divided by 745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88 + 15. Let u = -71 - a. Solve m = u*m - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 477883 to the nearest ten thousand.\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17778 and -5.\nAnswer: -88890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-14)*n\/((n\/n**(-1\/5))\/n)*((n\/n**0)\/n)\/n**(-3\/7) assuming n is positive.\nAnswer: n**(-447\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.437929 hours to weeks.\nAnswer: 0.157368625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2030400?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-4 - -6) - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 6) + -4 - (3 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 10*g**3 + 2849496*g**2 - 1139800*g = 0.\nAnswer: -284950, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 9:02 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y\/y**6)*y*y**7*y**(6\/11)*y\/(y\/(y**(-1)*y)) assuming y is positive.\nAnswer: y**(149\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.2 - 1. Let o = -0.83 + -15.47. Let s = -10.3 - o. Which is greater: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 73*q**2 + 141*q - 25. What is k(-71)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -332*v**2 - 249*v**2 + 1199*v**2 + 646*v**2 in the form a + o*v + r*v**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u - 19 + 3 - 2. Let c be r(-8). Solve -3*f + 5*q = -c - 8, -5*f - 10 = q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z - 122 = -84. Suppose -101 = -z*s + 211. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 1173?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**2)\/((c\/c**6*c*c)\/c*c*c))**(2\/25)*(c**(-1\/3)*c*c**(-3))**38 assuming c is positive.\nAnswer: c**(-6638\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -126 * 21.9884.\nAnswer: -2770.5384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 4:17 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6 - 10) + 5 - 1) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.133638 to two dps.\nAnswer: 35.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**2 - c**2 + 2*c**4 + 114*c - 3*c**2 - c**3 + 6*c**2 - 113*c - 22 in the form z + h*c**2 + t*c**4 + y*c**3 + u*c and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1381196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 1. Let w(z) = -11*z**2 - 9*z - 8. Let c(q) = -w(q) - 4*x(q). What is the least common multiple of 219 and c(-3)?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -82. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o + 9*o - 10 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 16210 - 47278 = 0. Suppose -3*m - 4*u = s, -u = -5*m - 4827 + 489. Round m to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 107 - (3 - (4 - 4)). What is the third derivative of 108*x**5 - k*x**5 + 3*x**2 - 5*x**2 wrt x?\nAnswer: 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 112 + -68. Let t = j + -42. Suppose -2*l - 3*u + 13 = -0*u, -20 = -t*l + 4*u. Calculate the lowest common multiple of l and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 - 3*j**3 - j**3 + 2*j**3 + 0*j + 0*j + (-18*j + 18*j + 20*j)*(-3*j**2 + j**2 + j**2).\nAnswer: -19*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2100493844?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1729.9998709 - -1730. Round b to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-3 - (0 - (1 - 1)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -18057 equal to -18884?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**5\/60 - 3*y**4\/8 - 2*y**3\/3 + 100*y**2. Let m = -8 - 0. What is v(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-160)\/(-3)*(-27)\/(-6). Let u(g) = -1 + 4 + 3 + g**2 + 2*g. Let z be u(-6). What is the highest common divisor of v and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11831310 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - 1a3?\nAnswer: -19d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1541 and 1909?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z = -9*z - 4*f - 32, 3*f + 15 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 66*p + 5488. What is n(48)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71344 bigger than 5493438\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 4*r + 2. Let y be (3\/2)\/(15\/(-20)). Suppose -28 = 2*u + 2*u. Let q = u - y. Determine j(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -20, -3*i - 3*t - 1 = i. Put 0.09, i, 0.1, -3 in descending order.\nAnswer: 0.1, 0.09, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2567234 rounded to the nearest one thousand?\nAnswer: 2567000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 328, 335, 356, 397, 464, 563, 700?\n\"Answer: u**3 + u**2 - 3*u + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 365 - -135?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 156405 to the power of 1\/2, to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*sqrt(11)*2)**2.\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.854 - -0.691. Let a = -1.163469 - p. What is a rounded to 5 dps?\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + b + 15. Let f be p(0). What is the highest common divisor of 10 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-11)\/88)\/((-217)\/884). Let o = d + -2\/217. Put o, 1\/3, -2\/9 in decreasing order.\nAnswer: o, 1\/3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 2*o - 5. Let u be x(4). Let l(t) = -2*t + 1 + 0 + u*t - 2*t. Give l(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 618*r - 21. Let i be k(-9). Let o = i + 24883. What is o rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-896)\/(-80) + (-48)\/4.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -841\/1148 - -3\/164. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**7\/399 - f**6\/285 - f**5\/95 + f**4\/57 + f**3\/57 - f**2\/19 - 2*f + 3. Factor y(i).\nAnswer: 2*(i - 1)**3*(i + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2\/9 + 1226321564*b\/9 + 187983072291425762\/9 = 0 for b.\nAnswer: -306580391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, i: 7, g: 3, o: 3}. Give prob of sequence ggi.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 6*j = 0. Suppose j = 11*r - 40 - 169. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -194.8 (b) -283 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.097 - 53.097. Let u = -53 - h. Let s be (-5)\/3 - 2\/(-3). Which is smaller: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 3*q**2 + 5*q + 3. What is h(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 288 and 24544?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**3 - 2*c**2 + 5*c - 2. Let l be v(-4). Suppose 3*a + i = 55, 5*a - a = -2*i + l. Suppose -3*w + 24 + a = 0. Solve -w + 4 = 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 16, -3*l + 44 = y - 3*y. Suppose 9*v - l*v + 402 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 2*s + 4, -5*r - 7 = -2*r + s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 + 60*w**3 + 167*w**2 - 228*w.\nAnswer: w*(w - 1)*(w + 4)*(w + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409237 is divided by 172?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 252781927 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 16 = 0, 4*u - 25 = 3*u + 4*l. Calculate the smallest common multiple of 36 and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10031143 rounded to 3 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 1:41 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, d: 2, r: 2, a: 7, h: 1, u: 4}. Give prob of sequence rah.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-8) + (-47)\/(-4). Let s = 14 - k. Suppose 2*h = -s*h + 16. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 11:47 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 180685.453 rounded to the nearest one thousand?\nAnswer: 181000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*f + 4*g, 31*g = 3*f + 28*g + 9. Let q(z) = 7*z - 2 + 3 - z - f*z. Let l(d) = -2*d - 1. Give 7*l(t) + 3*q(t).\nAnswer: -2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -691*r**3\/3 + 7*r**2\/2 - 9*r. Let x be m(1). Calculate the common denominator of -61\/6 and ((x\/(-40))\/5)\/2.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0.5 (c) 1\/10 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.1, -58, 0.0598, 3\/4, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 3:07 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**4 - 3888*u**3 + 76560*u**2 - 380800*u = 0.\nAnswer: 0, 10, 952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/13 greater than or equal to -134857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1333414 is divided by 869.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*q + 18. Let v be (0 - q\/12)*-3. Let m be 0 + 0 - v\/3. Which is greater: 2 or m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d**2 - 8. Let g(u) be the third derivative of u**8\/20160 - u**5\/12 + u**4\/12 + 30*u**2. Let w(i) be the third derivative of g(i). Give c(w(b)).\nAnswer: -6*b**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59 or -978\/17?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 + 36. Which is the biggest value? (a) 1\/4 (b) g (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y. Let n be v(-2). Suppose 5*l = 3*c - 105 + 101, l - 5*c = -14. Let t = l + n. Solve 3*k = -5*r - 4, k + t*r + r = -6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**0*p)\/(p**2*p)*((p*p*p\/(p**(-3)*p))\/p)\/(p*p\/(p*p**(-1\/3)*p)) assuming p is positive.\nAnswer: p**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 10 = -a, -27*s + 25*s + 50 = 4*a. Solve -148*c = -143*c + a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*k - 85*k + 5*k**2 + 26*k**2 + 8*k**2 + 1 + 17*k to j*k**2 + z*k + d and give j.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16009*13\nAnswer: -208117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 70956739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one twentieth of a millisecond?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1644, 2517, 3974, 6015, 8640, 11849, 15642?\nAnswer: 20019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 41\nAnswer: 17\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**4\/24 - 2*l**3\/3 + 4*l**2. What is the units digit of d(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -60, -12 in ascending order.\nAnswer: -60, -12, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1379?\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*k**5 - 84535*k**4 - 813010*k**3 + 1269845*k**2 - 372450*k = 0. Calculate k.\nAnswer: -65\/6, 0, 2\/5, 1, 573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-41)\/(w\/(w\/w**(-8))))**(9\/2) assuming w is positive.\nAnswer: w**(-297\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5698163?\nAnswer: 5698163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1078238971.\nAnswer: 1078238971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382658 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 619 - 1050 = -9*v, 8*v - 4*o = 384 for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 9*x = -56. Let y = x + -16. Let j be y\/(-52)*(-6)\/(-9). Which is the nearest to 1? (a) 1\/2 (b) j (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7817012715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3.1. Let g = 5 - 5. Is h less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1958056 is divided by 147.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.01 - -0.21. Round p to one decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, -14.72, 3, -3\/116?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppjbkbbppp. Give prob of picking 1 p and 3 b.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18366 - -92338\/5. Which is greater: q or 101?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91033*p + 91056*p - 14642099 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/66 + (-818)\/(-6). Suppose 3*n - 264 - 169 = -4*m, 2*n - 266 = 3*m. Suppose -q*s = -n*s + 15. Solve 0 = -s*i + 4*x - 4, 0 = -3*i + 5*x - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49614 is divided by 3350.\nAnswer: 2714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 969472 - 12067.\nAnswer: 957405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 64*z - 10 = -59*z, -2*q = -4*z - 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10293?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10, 31, 72?\n\"Answer: 41*u - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -4) + (-2)\/(-1). Suppose 2*x = -x + 12. Suppose -4*j + 4*q = -36, 0 = -x*j - 4*q - z. Let m(w) = -w + 3. Give m(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6930, -13860, -20778, -27678, -34554, -41400, -48210, -54978?\nAnswer: -61698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3208\/12832)\/(170\/88 - 2).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1169)\/2940 + 2\/5. Let h(r) be the third derivative of -s*r**6 - 1\/70*r**5 + 0*r**3 + 0 + 2*r**2 + 0*r - 1\/42*r**4. Factor h(b).\nAnswer: -2*b*(b + 1)*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -6\/5, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 6. Let x(z) = z**2 - 7*z + 4. Let w(a) = -2*a**2 + 13*a - 8. Let v(u) = 3*w(u) + 5*x(u). Calculate v(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5162, 3, -47 in decreasing order.\nAnswer: 3, -1, -47, -5162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 63\/(-18)*(-3 + 19\/(-7)). Let l be (-24)\/q - (-106)\/5. Calculate the highest common factor of l and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6814 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 62670036.2 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -49, 37146?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (10 + -12 - (2 + -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 14*p. Let h(c) be the second derivative of -1 - 5\/6*c**3 + 0*c**2 + 5*c. Calculate h(x(w)).\nAnswer: -70*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/((-32)\/(-6)))\/((-1)\/(-2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l - 3*l - 6*l**3 + 4*l.\nAnswer: -6*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -61, -103, -161, -241?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26966, 27092, 27222, 27356, 27494, 27636, 27782?\nAnswer: 27932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 5*k - 2*k. Let j(p) = p**2 + 11*p + 2. Let g be j(-10). Let a = k + g. Calculate the greatest common divisor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**5 + t**5 + 5*t**5)*(3 + 1 - 2)*(4 - 2 + 0).\nAnswer: 24*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 70?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 7*x. Is 6 a factor of l(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-424)\/12)\/(8\/3 + -3). Let k = o + -36. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 4, -4*k + 0*k + 230 = -5*m. What is the derivative of 73*g**2 - k*g**4 + 25 + 6 - 73*g**2 wrt g?\nAnswer: -220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 5. Let h = 6 - s. Which is the second biggest value? (a) 0.3 (b) 0 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5458\/3, 2\/205, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -87\/2 + 251\/6. What is the common denominator of a and 5\/156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2 - 10642970*k + 42571912 = 0. What is k?\nAnswer: -5321489, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.1 (b) -610\/39 (c) 4 (d) -2\/121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 938\/969?\nAnswer: 938\/969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x - 9*x = -v - 15, -3*x = 6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1176, -1311, -1446, -1581, -1716, -1851?\n\"Answer: -135*v - 1041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 354 + -353.97. What is the third biggest value in 4\/7, o, -5, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 105\/(-6)*6\/(-5). What is the first derivative of -26 + p + 3*c**2 - c**2 wrt c?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -49 and -786417.2.\nAnswer: -786466.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -242420 (base 8) to base 16\nAnswer: -14510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 38 = 3*w + 50, 3*w + 4*t = 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1102 = 4*u - 7830. Suppose 5*w + q - 2*q - 2095 = 0, 4*w = 2*q + u. Let g = w + -9203\/22. What is the common denominator of 11\/24 and g?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-20))\/(44*(-8)\/256). Factor -4\/11*b**3 + 4\/11*b + 2\/11*b**4 - q + 0*b**2.\nAnswer: 2*(b - 1)**3*(b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-4)*6\/(-9)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 11. Suppose 3*n + 5*n = 144. Let y be p(n). Let g = -13 - -8. Is g smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 760202.19927 + -760218. Let g = -15.8 - z. What is g rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 3539760*g + 24778467.\nAnswer: -3*(g - 7)*(g + 1179927)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0.35?\nAnswer: 0.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 2*k - k + 7 = 0, 0 = -3*l - 2*k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -184.428 - -184. Let j = -84.672 + w. Let d = j - -84. Round d to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3858*c**3*h**3 - 156*c**3*h + 2*c**3 - 2*c*h - 3 wrt h.\nAnswer: -23148*c**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 5446\/238 + 64\/(-34)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 8*n**2 - n. Let v be z(8). Let d = v + 12. Find f, given that -2*f**5 + d*f**3 - f**3 - f**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*c + 5*p, 5*c - 113 + 21 = -2*p. What is the highest common divisor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7879924*z = -2*y + 7879921*z + 20 + 3, 0 = -4*y - 2*z + 34 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/54 of a day in seconds?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 208446 and 16.\nAnswer: 1667568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 25 = 3*q, -5 = -0*q + q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 429544.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u + 2. Let f be 0*(-3 + 14\/4). Suppose 3*a - 2*a - 4*d + 3 = f, -a + 5*d = 6. List the prime factors of s(a).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17737, -35476, -53215, -70954?\n\"Answer: -17739*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*x + 3*t - 23, -2*t = -10. Suppose -4*f + k = 302, -9 = 5*k + x. What is the tens digit of (-3 - 1)\/(4\/f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3*2)\/((-304)\/(-76))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 19. Let p(j) = -j - 9. Let i be p(c). Suppose 8*h - 3*h - 65 = i. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**6\/1260 - w**5\/210 - 25*w**3\/3 - 5. Let d(q) be the third derivative of o(q). Factor d(m).\nAnswer: -2*m*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 413*w**5\/5 - 451*w**4\/6 + 294*w. Find the third derivative of u(s) wrt s.\nAnswer: 9912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 - 4*l**2 - 6*l - 8. Let a be o(-2). Let k(j) = -2*j**2 - 2. Let h(n) = 5 - 7 + n**2 - 2*n**2. Determine a*h(r) - 3*k(r).\nAnswer: 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwwwffwwf. What is prob of sequence fw?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**2 - 103*t + 664. Calculate r(15).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = 16*x - 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**4\/2 + 10473*s**3 + 36498351*s**2\/2 - 109777986*s + 164808486 = 0. What is s?\nAnswer: -3494, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o + 17*o + 2 = 2*a, 2*o = 3*a - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 - (-14 + (-42 - -13))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -192 in 0.5, 0, -1\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 n when three letters picked without replacement from {c: 1, y: 1, n: 5, l: 4, o: 1, g: 1}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 4*v - 5 = -11*s, -5*v = 5*s - 15. Solve -h - x - s = -5, -4*h = -4*x + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -12*n + 149. Is -0.414 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/18*33 - -3116?\nAnswer: 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22.18 - 22. Let b = 0.13 + a. Let p = b - 0.01. Put p, 4\/7, 1\/7 in increasing order.\nAnswer: 1\/7, p, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 181 = 3*q, -5*x + 136 = -22*q + 24*q. Calculate the greatest common divisor of q and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -5)*4.\nAnswer: -20 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**4\/54 + 2*f**3 + 81*f**2 - 179*f + 35. Let t(i) be the first derivative of a(i). Determine d so that t(d) = 0.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560027?\nAnswer: 13, 23, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*j + 18. Differentiate -16 - 15*n - 34 + 7 + j*n - 213*n**2 wrt n.\nAnswer: -426*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304836?\nAnswer: 2, 3, 7, 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 15624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 5, i: 1, s: 5, o: 8}. Give prob of picking 1 c and 1 i.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*t - 21*t + 5*y + 163955, 0 = t + 3*y + 40994. Let l = t + 105885. What is l rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 + 68. What is the nearest to 1 in 1\/6, -0.3, q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 132\/8 + 9\/(-6). Suppose 0 = 3*u + 3*b - 6*b - w, -b = 4*u - 5. Suppose z = 6 - u. Put z, -4, -3 in descending order.\nAnswer: z, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 2*u**2 + 2*u + 1. Let q be r(-2). Calculate the common denominator of -46*(-2)\/((-36)\/q) and ((-6)\/27)\/(370\/(-114) - -3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i + 85. Let m be w(-20). Let z(p) = 2*p**2 - 51*p + 43. Let k be z(m). Solve 0 = -o + 10*o - k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukxk when four letters picked without replacement from {j: 1, m: 3, x: 5, k: 5, u: 5}?\nAnswer: 125\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3 = -3*d - 2*d, 14 = 3*v - 2*d. Suppose v*i + 266 - 7162 = 0. Suppose -l + i = 469. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 121. Let w(o) = 5122*o. Give w(l(d)).\nAnswer: -5122*d - 619762","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/24083?\nAnswer: 1\/24083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5710 (base 12) to base 10.\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-30))\/(2\/(-5))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**3 - 2*q**2 - 3*q - 1. Determine s(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16.59329 and 4.67.\nAnswer: -77.4906643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**2 - 5*n. Let r(m) = 2*m**2 + 4*m. Let j(s) = 5*r(s) + 4*y(s). Let f(g) be the third derivative of -g**4\/3 - 26*g**2. What is j(f(k))?\nAnswer: -128*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000671112 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-46)\/(-3) - 14\/(-21). Calculate the highest common divisor of w and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-637)*7*49\/14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p**2 - 5*p**2 + 17*p + 19*p**2 - 5*p - 12*p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/100 and -133\/60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/65 in -1\/17457, -0.2, -0.3, 2\/7?\nAnswer: -1\/17457","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -357028*f - 1785138. What is h(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 8. Let n be f(-14). Let j(m) = 9 + 50*m**3 - 5*m**2 - 27*m**3 - 22*m**3 + 12*m**2 + 9*m. Calculate j(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1408 + 1418. Solve 2*x = 20 - f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -15 + 6 + -2 - -4) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**3 + 69*a**2 + 34*a + 36. Calculate d(35).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 2, -1\/1647?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.3 - 20. Let w = 114 - 96. Suppose -18*p = -36 - w. Do p and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*k*n**2 + 24364*k*n - 82*k + 54845151*n**2 with respect to k.\nAnswer: 13*n**2 + 24364*n - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {v: 2, b: 4, p: 2, r: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1 + 0 - w - 1 + 4. Let j be z(0). Let f = 4982 + -4965. Sort j, 3, f in decreasing order.\nAnswer: f, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*y - 19 = 5*l, 5*y - 35 = 5*l. What is the remainder when y is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, c: 1, q: 4, v: 2, j: 1}. Give prob of picking 3 t.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -15. Suppose -m + 2*m + 7 = f, -26 = -h*f + 3*m. Suppose -2*b - f*a = 22 - 59, -4*a = -3*b + 44. Solve 13 = 4*g + s - 6, -3*g + s = -b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*y + 2, -2*y + l + 3*l - 2 = 0. Let g be y - -1 - (-2 - 0). Let u be (-2)\/7*(1 - g). Sort -3\/2, 4, u in ascending order.\nAnswer: -3\/2, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 22018 = 3*a, 5*p = 3*a - 10236 + 32255. Which is bigger: a or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -138*v. Let f(x) = 11464*x**2. What is f(p(s))?\nAnswer: 218320416*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13273232?\nAnswer: 2, 7, 37, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = u + 1. Solve 0 = -0*j - j - u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003714 rounded to six dps?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 + 5*r - 11. Let o be s(-4). Let g be (9\/12)\/(5*o\/3200). Calculate the highest common factor of 20 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 1237790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 1 - 8) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 9 = -2*u + 5*u + 15, 14*u - 4*k = -112 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**3\/w)\/(w\/(w**(-2\/7)\/w)))**(-45\/7)*(w**(-3)*w**2)**39 assuming w is positive.\nAnswer: w**(-1821\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 716 + -696. Let d(i) = i**3 + 3*i**2 + 1. Let w be d(-3). Differentiate -7 + w + b*a**2 + 4*a**4 - 20*a**2 with respect to a.\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*n - 6 = -b, 4*n - 18 = -b. Let v = -15 + 17. Suppose 2*k = -0 - v. Put b, 4, k in descending order.\nAnswer: 4, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302811 equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 11901*d - 71363. Calculate j(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.048 (b) 4 (c) -2\/1839 (d) 0.5 (e) 3 (f) -2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + d**2 - d + 10. Let h be n(0). Suppose 2 = -r + h. Let g(o) = 45*o**2 + 2*o + 4. Let v be g(r). What is v rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1709 or -1717?\nAnswer: -1717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7762*q**5 - 6*q**4 + q**3 + 41025*q**2 - 28 wrt q.\nAnswer: 465720*q**2 - 144*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -4)\/(22*4\/(-24) + 4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b - 6. Suppose n - 4 = 1. List the prime factors of p(n).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -1. What is the third derivative of a**4 + a**2 - 2*a**4 - a**x wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/3866488 and 71\/8699598.\nAnswer: 34798392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 45, -5, 1\/2, 29, 6?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*x = 11 - 15, -5*x - 10 = 0. Solve 5\/9*m**4 - 20\/9*m**2 + i + 1\/9*m**3 - 4\/9*m = 0.\nAnswer: -2, -1\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35234*k - 17613*k - 144*k**2 - 17591*k as n*k + x*k**2 + v and give n.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22262 - 2760?\nAnswer: 18402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 9. Solve -s + 12 = -4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*-3*(-8)\/(-48))\/(45\/(-20))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mml when three letters picked without replacement from {m: 5, c: 1, a: 13, l: 1}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjppjjvjpppjuvjjn. Give prob of sequence nnp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 191423607 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5599*a. Let y(s) = -2*s**2. Calculate q(y(u)).\nAnswer: 11198*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 333897053 to the power of 1\/2, to the nearest integer?\nAnswer: 18273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 3*y + 3565898, 2*d + 3*y = -2*y + 1426344. Suppose -9433182 + d = -4*i. What is i rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4708*o**2 + 14*o - 298. Let p(j) = -4700*j**2 + 12*j - 298. Let n(z) = -6*i(z) + 7*p(z). What is the first derivative of n(v) wrt v?\nAnswer: -9304*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 11:14 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86.3 - 86. Put 0.1, n, 2.4 in ascending order.\nAnswer: 0.1, n, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1244003543 + -31?\nAnswer: -1244004014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 + -5 - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-16))\/(7\/(-126)*9)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3002*f**3 + 1503*f**3 + 1536*f**3.\nAnswer: 37*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 + 53 = -4*o. Suppose -11 = -4*q + 13. Let d = q - -8. Calculate the greatest common divisor of o and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 43 - 32)*(-2*l + 2*l + l) + (2*l + 0*l - l)*(0 + 2 - 3) - 2*l + 2*l - l.\nAnswer: -73*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30349, 60881, 91607, 122533, 153665, 185009, 216571, 248357?\n\"Answer: m**3 + 91*m**2 + 30252*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 634 + -635.3. Sort 2\/7, a, 0.08, -5 in descending order.\nAnswer: 2\/7, 0.08, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006751136465 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -442 (base 7) to base 8\nAnswer: -342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29101 divided by 1.\nAnswer: 29101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 54 - 26 - 11)*(-9*k**3 - 2*k**3 + 4*k**3).\nAnswer: 21*k**4 - 119*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 124 (base 6) to base 16\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 4*j + j)*(0*j**4 + 3*j**4 - j**4) + (-14 + 14 - 9*j**2)*(-3*j**3 + 2*j**3 + 2*j**3).\nAnswer: -11*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)\/y**(-3\/4))\/(y**3\/(y\/(y*(y**(1\/5)\/y)\/y*y))) assuming y is positive.\nAnswer: y**(-69\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169215 divided by -29.\nAnswer: 5835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -320*a**2 + 448*a - 3. Let r(m) = 22*m. Give i(r(y)).\nAnswer: -154880*y**2 + 9856*y - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 12443022\nAnswer: -3732906.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 201488*q - 402980. Give c(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 447 = -2*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5\/3 + 5636*d**4\/3 - 4248464*d**3\/3 + 392743328*d**2\/3 - 11312704928*d\/3 + 78045020480\/3 = 0 for d.\nAnswer: 10, 46, 1358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 302 = 3*z + z, 3*z - g - 232 = 0. Let k = 29 - 105. Let t = z + k. What is t rounded to one dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c**4\/2 + 5628*c**3 - 115875*c**2\/2 + 161025*c - 55500 = 0.\nAnswer: 2\/5, 5, 740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 726765153 to the power of 1\/2, to the nearest integer?\nAnswer: 26959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**6\/360 - 53*b**3\/6 - 2*b**2 + 7. Let t(n) be the first derivative of k(n). Let m(g) = 22*g**2. Give t(m(r)).\nAnswer: 484*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4816 - 3714. Calculate the highest common factor of z and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzzzgz. What is prob of sequence zgg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 841 (base 14) in base 6?\nAnswer: 11305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 10*t + 6. Let a be r(11). Let z = a + -4. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15640 - -31281\/2. What is the nearest to 0.1 in 0.3, -4, d, -2\/1991?\nAnswer: -2\/1991","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298631066 a multiple of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -49, -244, -777, -1816, -3529, -6084, -9649, -14392?\n\"Answer: -28*p**3 - p**2 + 4*p - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/2958 and 46\/175305.\nAnswer: 5960370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1749 divided by 11\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -839.25 - -839. Sort z, -5, -1 in increasing order.\nAnswer: -5, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2*a**2 + 3*a**2 - 4*a**2 + 2 to q*a**2 + j + w*a and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15605 is divided by 578.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34791 (base 11) in base 10?\nAnswer: 50194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 567\/324*((-48)\/(-10) + (-3 - (-3 - -4))). Let -w**2 + 8\/5*w - 6\/5*w**3 + t = 0. Calculate w.\nAnswer: -1, 7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 - -73. Suppose 0 = j + 5*y + 10, 3*j - y + 17 = 7*j. Let u be 1\/(-6) + (c - j). Is u < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20136 + -20140. What is the closest to -3 in 1, 3, 0.21, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06 less than or equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -602*c**2 + 4832 - 2416 - 2416.\nAnswer: -602*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -268*d - 9. Let z(n) = -136*n - 5. Determine 6*s(q) - 11*z(q).\nAnswer: -112*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 62, 40, 20, 2, -14, -28?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -139 + 698\/5. Let u = 11.2 - 11. What is the closest to -2\/3 in -0.5, u, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**4 - k**3 + 27*k**2 + 81*k + 54 = 0.\nAnswer: -3, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2376 - 2376. Let i(p) = -p**2 - 6*p - 3. Let f be i(-4). Sort -1, q, f.\nAnswer: -1, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-172)\/3784)\/((-2)\/(-16)) - (-1776)\/44?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + ((2 + -2*sqrt(153))**2 - sqrt(153)))*-2.\nAnswer: -216*sqrt(17) + 4928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2430 is divided by 304.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 p when two letters picked without replacement from pphbpfpzzpbz.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22815 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 7*n**2 + 8*n - 9. Let a = 2 + 4. Let u be m(a). Let y(g) = g - 4. What is y(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -n**4\/16 - n**3\/2 - 9*n**2\/8 + 88. Factor g(c).\nAnswer: -c*(c + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*o + 3*o = -33, -o = 0. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4970536 and 14.\nAnswer: 34793752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -1 + 1328\/(2324\/(-28)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 322, 325, 328?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -771 and -4.458?\nAnswer: 3437.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421235 is divided by 46778.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 3179099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 121 + 30 = 0. Let w be 2\/(-6) + (-56)\/(-6). Let j = v - w. Solve -8 = u + 3*u - 3*s, j*u + 3*s + 8 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z - 42. Let o be w(18). Let g = 21 + o. What are the prime factors of g?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39247.24 nanoseconds in milliseconds?\nAnswer: 0.03924724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x - 4145 + x + 5595 in the form l + i*x and give l.\nAnswer: 1450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**2 + 2*h**3 + 9*h**4 + 3*h**2 - 10*h**4 + 2 as r*h**3 + s*h**2 + a + u*h**4 + f*h and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 13. Let l = o - 6. What is the remainder when l is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/5)\/((-6)\/(-75)). Suppose 13 = 5*y + 3. Solve y*k - 2*o - m = 0, 5*o = k - 6 - 19 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + b**2 + 0 + (-b + b - b)*(2*b - 3*b + 2*b) + 1 - 1 - 7*b**2)*(-3*b + 3*b + 2*b**2) as a*b**2 + j*b**3 + r*b + x*b**4 + l and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - s + 14. Let x be f(-6). Let i = 16 + x. Let y(l) = l**2 + 2*l + 54. What are the prime factors of y(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 - 5*c**3 - 448*c + 228*c + 232*c.\nAnswer: -6*c**3 + 12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468) - (-1 + (-1*sqrt(468))**2).\nAnswer: -467 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a factor of 6553575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivq when three letters picked without replacement from {v: 3, q: 4, g: 8, i: 2}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-3312)*-207*24?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2284.973504 - -2285. Round a to 3 dps.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1475 divided by 1.\nAnswer: 1475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-21 - -13)) + -9 + (-2 - -61 - 0)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3698108 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + -5. Solve -2*f - n = 3*n - 22, 5*f - a = -3*n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10912438.\nAnswer: 2, 103, 52973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -88455, -88466, -88485, -88512, -88547?\n\"Answer: -4*s**2 + s - 88452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o**4 - 40*o**2 + 47*o + 9185. Let c(j) = 3*j**4 + 18*j**2 - 24*j - 4591. Let p(n) = -9*c(n) - 4*g(n). What is the derivative of p(f) wrt f?\nAnswer: 4*f**3 - 4*f + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 73*z**3 + 11*z**2 - 18*z + 71. Is f(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -11*c - 276. Let j be o(-27). Suppose 5*b - 9*b + 30 = 5*f, j = -2*f + 5*b. Solve -u = 4*w - 4*u - 14, f*u - 2 = -3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113 + 3*a**3 - 76 + 292 - 103.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 11, -3\/4, 1\/68, -113\/5?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.9351 * 2\nAnswer: 1.8702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -317*s + 688*s + 244*s + 1301*s.\nAnswer: 1916*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27597 is divided by 203.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2954a1 (base 14) in base 15?\nAnswer: -1d575c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 0)*3\/(-9). Let o be (-1)\/(-2)*(8 - u). Suppose 4*q + 57 = s, o*s = 4*q + q + 173. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 39*x + 60. What is w(42)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**7\/21 - 2*z**6\/15 + 11*z**5\/10 + 2*z**4 + z + 7498. Let l(x) = 0. Calculate x.\nAnswer: -4, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -1265*w - 39220. Give g(-31).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 268091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 5:07 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 654 - 380. Let y = x + 679. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 10 - (15 - 4)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihaihsswhci. Give prob of sequence ai.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 5. Let f = k + 5.8. Let s = 0.191 + f. What is s rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((11\/(-4))\/((-5)\/5))\/(2\/8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - h**2 + 3. Let q = -57 - -58. Calculate the least common multiple of c(0) and 3 + -3 + 2 + q - -2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5055 and 903834?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/7 + -2)\/(13\/7)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-4))\/((-15)\/(-40)). Let r be 4\/(-2) - (-6 + q). Let a be (r\/3)\/(4\/6). Which is smaller: a or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 25815, 51626, 77437, 103248, 129059?\n\"Answer: 25811*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 106*c - 836. Find the common denominator of 1\/275 and l(8).\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 1*-2853*6\/(-9). Suppose -z = -2*g - 5*k + 3*k, -3808 = -4*g + 3*k. Suppose -5*v - 3*v + g = 0. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-8) + (-2)\/(-112) + 9 + -10\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19185 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 5*q - 11, -2*q + 55 = 5*f - q. Calculate the highest common factor of f and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, a: 4}. What is prob of sequence aaaa?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, u: 2, q: 2, o: 2}. Give prob of sequence oqo.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/((-28305)\/(-18)))\/(282\/(-1175))*10\/25?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38274703.\nAnswer: 73, 83, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 271 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 29195 from -66925.\nAnswer: -96120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*o - 82, -4*y - 12 = -o - 4. Calculate the highest common factor of o and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 1. Let f(b) be the second derivative of 19 + 0*b**2 + 0*b**3 - 3*b + 1\/12*b**4. Calculate c(f(r)).\nAnswer: r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**2\/2 + 1. Let y(c) = 12*c**2. Give p(y(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18555 + 18523. Let j(h) = 14*h + 456. What is j(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74611665.\nAnswer: 3, 5, 43, 12853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 236491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 4*h - 4, h - 3*h - 3*v = -3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(-84)*4 - 15238\/(-6). Suppose -x - 4166 = -2*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -1712 (c) -1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4405996.\nAnswer: 2, 7, 53, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -9*b**2 - b - 5. Suppose 0 = -536*i + 516*i - 40. Give x(i).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/(-390)*(5*4)\/((-20)\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -4*b**6\/3 - 17*b**2\/2 + 21. Find the second derivative of g(q) wrt q.\nAnswer: -160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 9:21 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (3*(sqrt(7)*3 - sqrt(7)))**2)*-1.\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4312217?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/((-140)\/(-168))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -105.789?\nAnswer: 21.1578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.31, -2\/5, 0, 0.3, 0.23, 2 in descending order.\nAnswer: 2, 0.3, 0.23, 0, -0.31, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 685 - 678. Calculate the highest common divisor of g and 791.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-5))\/((-108)\/3060). Suppose o - 3*w = n, 5*w + 26 = o - 1. Solve 6*v = -r + 3*v - o, -v = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**(-11\/5)\/f)*f*f**(1\/4) assuming f is positive.\nAnswer: f**(109\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 - -41. Suppose 5*p - 25 = 0, 4*f + 2*p - 42 - 20 = l. Suppose 294 - 775 = f*r. Is r at least -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -389 - -454. Let y be ((-8)\/(-5))\/(2\/5). Suppose -y*f + 88 + 12 = 0. What is the remainder when b is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10\/621 - 5227\/54648. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2125 and 7441325.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*y - r, -7 = -4*y - 4*r + 5. Suppose y - 2 = -2*v. Let z = -4 - -4.4. What is the closest to v in z, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -10277*g**2 - 11*g + 121. Let y(p) = -3425*p**2 - 4*p + 44. Let q(v) = -4*f(v) + 11*y(v). Let a(x) = -x. Give q(a(n)).\nAnswer: 3433*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2403111 (base 5) to base 6\nAnswer: 540232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f = -9*f - 1200. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-21)\/(-6)))\/(-1)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53990 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 7864941?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/28*(-68293951197)\/628. Let k = 54374154 - i. Let a = k - 25\/157. Calculate the common denominator of 7\/18 and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeyeyeyejevyvveje. What is prob of sequence eevj?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16781780.\nAnswer: 2, 5, 127, 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55\/12 + 21\/4. Which is the third smallest value? (a) j (b) 1 (c) -9 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434 = -11*x + 8993. List the prime factors of x.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55512122 + 0?\nAnswer: -55512122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1002 - -1002. Let o(p) be the first derivative of 0*p**3 + 5\/4*p**4 + w*p - 8 + 1\/2*p**2. Find the second derivative of o(g) wrt g.\nAnswer: 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3\/5, -2\/5, 5, 784?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47958.\nAnswer: 2, 3, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 18\/(101540\/(-101532) - -1)) + -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -i. Let f = 3 + i. Suppose -5*q + 26 = -3*g, 2*q - 4*q - f*g + 2 = 0. Solve -3*c - q - 2 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2366793?\nAnswer: 3, 11, 13, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 221928 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.80003714 take away 2329?\nAnswer: -2337.80003714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 45. Let f(b) = -b**3 - 10*b**2 - 21*b + 5. Calculate the remainder when f(-7) is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 465 - 270. Let x be ((-8)\/6)\/(3 - 590\/t). Let p be x\/20 + (-2 - (-12)\/5). Solve -z - p*z = -4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 5*s**4\/12 - 59*s**3\/6 - 6*s**2 - 204*s. Let j be k(12). Which is greater: -8\/59 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 5*u**2 - 4*u. Let i be g(-4). Suppose -107*o - 622 = 1197. Is o less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11623?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x\/(x\/x**(-4\/7)))\/x)*x**(-1)*x*x*(x*x**(-1)\/x*x)\/((x**(2\/13)*x)\/x) assuming x is positive.\nAnswer: x**(311\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1041 + 3561 = 20*h. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 2:42 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3079933432.\nAnswer: 2, 61, 401, 15739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 7*f**2 + 4*f + 12. Let p be i(2). Determine o so that 2\/9*o**3 + p + 4\/9*o**2 - 2\/3*o = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42704421 to the power of 1\/2, to the nearest integer?\nAnswer: 6535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 7*i - i. Let u = i + 12. Suppose 0 = m + 4*b + b + 23, 0 = -2*m + 2*b + 2. Put m, -11, u in descending order.\nAnswer: u, m, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -336*c + 894*c + 2164*c in the form r*c + u and give r.\nAnswer: 2722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50029?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 175+-1401094\nAnswer: -1400919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-2) - (-1 - -1)\/(-3). Suppose -v + n + 2004 = s, 0 = -4*v + n - 6*n + 8007. List the prime factors of v.\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -10. Suppose -4*t = w*h - 2 - 14, -2*t = -4. Let r = h + 8. What is the greatest common divisor of r and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -287*v**5 - 3*v**4 - 8*v + 52. Let x(f) = -143*f**5 - f**4 - 4*f + 25. Let z(b) = -2*c(b) + 5*x(b). Find the second derivative of z(q) wrt q.\nAnswer: -2820*q**3 + 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-3))**46 assuming o is positive.\nAnswer: o**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -a - 27. Suppose 5*u - 1243 = 20*g - 24*g, -a*u = -3*g + 976. List the prime factors of g.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 0*r + r)*(39 - 6*r**2 - 39)*(-3 - 2 + 1) + r - 167*r**2 - 2 + r**3 + 1 + 169*r**2.\nAnswer: 25*r**3 + 2*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 - 28 + 9 - 33.\nAnswer: 2*r**3 - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14350.497 - -18437.32. Let p = g + -4085. Let n = 0.187 + p. Round n to one dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-123382)\/259798 + (-6)\/(-11). Which is greater: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -869*b**2 + 164*b**2 + 177*b**2 + 173*b**2 + 129*b**2 + 159*b**2.\nAnswer: -67*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 7*c**3 - 8*c**2 + 11*c + 9. Is r(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 13*p**2 + 22*p + 4. Let j be f(11). Solve 4*s + j = -2*z + 3*s, -3*s - 5 = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -398070 to the nearest 10000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 1664.\nAnswer: -1\/416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -47*o - 7. Let v(k) = 105*k + 15. Determine 5*q(i) + 2*v(i).\nAnswer: -25*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14934 take away -135636?\nAnswer: 135635.85066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, i: 3}. Give prob of sequence iihi.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five halves of a year?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + a. Suppose -2*y - g = a, 5*y - g - 9 = g. Put y, 2, 4 in decreasing order.\nAnswer: 4, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/(-36) - 1\/(-3). Let f(b) = -2*b - 13. Let c be f(-9). Let n be c\/4 + (-1 - 1). What is the smallest value in n, -4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 84, 110, 168, 270?\nAnswer: 428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65905\/9692166 + -1\/7467. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + 330?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o. Let i(j) = 3*j**2 - 6. Determine i(u(t)).\nAnswer: 12*t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -65*h**2 + 569137*h - 569137*h. Let f(i) = -7*i**2. Give f(d(q)).\nAnswer: -29575*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12112, 47921, 107608, 191179, 298640?\nAnswer: 429997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhiiiihhhhiiiiiihihh. Give prob of picking 4 i.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109127.\nAnswer: 29, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 834293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -0*p + 160. Let c = 6 + p. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178934?\nAnswer: 2, 7, 12781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -133 - -141. Let k(j) = -2*j**2 + 4*j - j**2 + j**3 - 2*j - 3. Let x be k(3). Solve 4 = -x*c - z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4\/13)\/(o\/o**(3\/5)*o))**4\/((o**(1\/4))**(1\/38))**(-1\/9) assuming o is positive.\nAnswer: o**(-607327\/88920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/3 + 5040678*w**2 - 10081358*w + 15122038\/3.\nAnswer: 2*(w - 1)**2*(w + 7561019)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 5*j**2 + 2*j + 11. Let u(k) = -k**2 - 16*k - 44. Let f be u(-13). Let m be a(f). Which is smaller: -1\/69 or m?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1977)\/(-9) - (-2)\/(-3). Let i(r) = -4 + 0 + v*r - 216*r. Give i(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 876.777 meters to micrometers.\nAnswer: 876777000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 - 1.6. Let t = -4 + g. Let x = -0.07 - 0.23. Which is the third biggest value? (a) t (b) x (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkwyknrnkwnkkkkz. Give prob of sequence zk.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -3320?\nAnswer: 3310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -7*v + 37. Let z be k(5). Solve 3*w + 2 = -4*y, -z*w + 0 = 4*y + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-9))\/(6\/(-54)*-1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77 + 48 + 2 - -38.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -123, -226, -397, -636, -943?\n\"Answer: -34*t**2 - t - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 125?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2326592 or -2326582?\nAnswer: -2326582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 3*u + u)*(u**2 - 3*u - 2*u - 6*u).\nAnswer: -u**3 + 11*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 32 = -6296*o + 6300*o, 3*o - 5*m - 34 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**5 + 39*u**3 + 166*u**2.\nAnswer: -60*u**2 + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 10*a + 123. What are the prime factors of a?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4738471?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 7*s + 138. Suppose -95 = -2*f + s. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -19*y**6\/4 - 490*y**3\/3 - 673*y**2. Differentiate v(t) wrt t.\nAnswer: -1710*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23\/44 - 3\/11. What is the nearest to a in 4\/7, -1\/2, -1.8?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 1)*(0 + 1 + 0) - 5 + 1 + 3)*(2 - 1 + 2*h + 3).\nAnswer: 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 64834?\nAnswer: 324170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 5529689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**2 + 302*q - 123. What is p(100)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -23\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 5073*z - 4609*z + 1 to p*z + l and give p.\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 918 = 3*t. What is the remainder when t is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.67516 weeks in minutes?\nAnswer: 722485.6128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -218148, -218163, -218202, -218265, -218352?\n\"Answer: -12*j**2 + 21*j - 218157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2 + (-9)\/(-10). Let v = 0.0672 - -0.0328. What is the nearest to v in y, 3, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = 5*g - 118. Find the second derivative of 22*a**3 + 18*a + 29*a - 13*a + 11*a**g wrt a.\nAnswer: 198*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1461864409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/130*5\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0, -9\/50, -3\/28, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/17, -950, -6, -3\/2, -0.1 in increasing order.\nAnswer: -950, -6, -3\/2, -0.1, -1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -178 - -178. Let g be (-36)\/(-170)*-2*(-60)\/9. Solve -2\/17*c**3 - 288\/17*c + m - g*c**2 = 0.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p = 12*p + 685. Suppose 3*c = -v + p + 43, c = v - 164. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c**2. Suppose -2*o = o - 12. Suppose -o*j + 164 = -0*j. Let i(z) = -j*z + 24*z + 18*z. Determine i(y(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 + 100*c**2 - 1632*c + 342. What is s(-63)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/3 + ((-20)\/15)\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*q - 44 = -432*q - 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 7*h**2 - h + 7. Let g be (0 - -7) + -1 - (-22 - -20). Does 13 divide p(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1320011203 (base 4) to base 10\nAnswer: 491875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -2\/15 (c) 1 (d) 928 (e) -287 (f) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*b + 1, b - 77 = 5*m. Let n = -10 - m. Let j = n - 4. Calculate the greatest common factor of 8 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5390.4061 + -5390.80110291. Let x = n + 0.395. Round x to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113349?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -857, -0.2, 0 in ascending order.\nAnswer: -857, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 408789307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-6))\/((-7)\/84). Let w = u + 22. Let 5*n**2 - 2*n**4 + 2*n**4 - 3*n**4 - 2*n**w = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22050 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 566907260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8101728.04 rounded to the nearest ten thousand?\nAnswer: -8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -43*f**4 + 2*f - 94 wrt f?\nAnswer: -172*f**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z - 31 = 0. List the prime factors of z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 2*m - 3. Suppose -4*k = 3*s - 526, 0 = -5*s - 6*k + k + 875. Suppose -s*v + 176*v = 4. Determine i(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*w**3 + w**3 - 10 - 7*w**3 with respect to w.\nAnswer: -30*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1712746864?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times -4.5033\nAnswer: -0.315231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 7) to base 6.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + (12 - 21) + 18 + 5.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + (0 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22176677*b - 6865058 wrt b?\nAnswer: 22176677","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 786.6 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1\/2 (c) 6 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in hours?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 + 163*o**2 + 860*o + 1862. Determine a(-76).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1400 and 28?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = -3*m - 5*k, 4*m = -0*m - k + 360. Let w be (15\/(-9))\/((-1)\/m). What is the remainder when w*(4 + (-14)\/4) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(832) - (sqrt(832) + 0) - sqrt(832))*6)**2.\nAnswer: 119808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ott when three letters picked without replacement from {t: 5, c: 4, o: 7}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 92800090?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 11*o**5 - 186*o**3 - 3750*o. Let v(n) = 66*n**5 - 1115*n**3 - 22503*n. Let g(k) = 37*l(k) - 6*v(k). What is the second derivative of g(f) wrt f?\nAnswer: 220*f**3 - 1152*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, k: 4, x: 2, h: 1, d: 1}. What is prob of sequence rxh?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7995083 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v - 3. Let u = 15 + -17. Let o be z(u). Sort o, -1, 0 in descending order.\nAnswer: o, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39760 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1513 - 2404. Let f = 936 + m. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 14 = 3*a - 32, -a = -4*b - 27. What is the remainder when 11 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*q - 55*q + 380. Solve 0 = -6*v + q + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -4. Let j(l) = l**2 + 10*l + 5. Suppose -7 - 33 = 4*n. Let u be j(n). Solve 0 = -u*f + 5*r, -3*r - r + 6 = g*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 4. Let r be z(3). What are the prime factors of 23 + -3 + r + 3?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times -12.779?\nAnswer: 0.25558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 36438*-3764\nAnswer: -137152632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**3 + 7*w**2 + 22*w + 12. Let n(f) = -7*f**3 - 15*f**2 - 40*f - 23. Let z(j) = 5*m(j) + 3*n(j). What is z(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 3. Let l = 2 - y. Put 0.3, 3, l in ascending order.\nAnswer: l, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c**3 - c - 15. Let u be j(-3). Suppose -s - 289 = 4*a - u, 3*s - 5*a = -613. Let b = -50 - s. What are the prime factors of b?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 51*k**4*r + 6187*k*r + 351*r - 6163 wrt k?\nAnswer: 204*k**3*r + 6187*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 1)*(-m - 11*m - 5*m)*(14*m**3 + 59*m**3 - 27*m**3) to the form u*m**3 + p*m**4 + n + w*m**2 + q*m and give p.\nAnswer: -782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4685601ml?\nAnswer: 0.0004685601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6231 by -3.\nAnswer: -2077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5950119.\nAnswer: 3, 7, 17, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4\/197, 42, -8, 0.09?\nAnswer: -4\/197","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frqrrrtfhffrfrrhtff. Give prob of picking 2 h.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62631519 and 618?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-1)\/u*u)**45\/(u**(-2))**(-25) assuming u is positive.\nAnswer: u**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 49*x**6\/120 + 32*x**5\/15 - 33*x**2 - 1. Find the third derivative of p(u) wrt u.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87 + -337. Let g = 230.6 + r. Round g to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 3*y + 4. Let t be (-13)\/(-5) - (2 - (-48)\/(-20)). Let o be a(t). Solve -5*v + 7 = 22, 4*l = o*v - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2 - (5 + 1 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2. Let l(k) = k - 8. Let q(c) = l(c) - 5*s(c). Let i = -72 + 77. What is q(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7*q - 3*q + 5*q - 4 + 2*q. Let k(j) = -j**3 + j + 1. Let n(l) = -f(l) - 4*k(l). Find the second derivative of n(s) wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1940)\/(-18) + (-10)\/(-45). Let i = -75 + w. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -31 (b) 13 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2647*n**6 - n**5 - 189*n**4 + 22412*n**2 + 1 wrt n.\nAnswer: 317640*n**3 - 60*n**2 - 4536*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*c + 4, -67*x + 70*x + 3*c = 0. Let -12\/17*j**3 + 2\/17*j**4 + 24\/17*j**x + 6\/17 - 20\/17*j = 0. What is j?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -14. Solve 2*v - 4*x = 8, -3*v + n*v = 4*x - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 143, 635, 1481, 2681?\n\"Answer: 177*o**2 - 39*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162919 is divided by 6030?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 48 * 2215\nAnswer: 106320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3\/9 + 4864*r**2\/3 - 849950*r\/3 + 112763356\/9 = 0.\nAnswer: 89, 7118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28886 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -156 + 418. Let b = s + -36. Is 227 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5 - 25 = -b, 2*b + 3*d = 24. Solve 4*f + 22*w - 25*w = b, f - w - 5 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3270 (base 15) in base 7?\nAnswer: -43065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 12*j**2 - 12*j + 15. Let u be k(-11). Suppose -u*f = -7*f - 76. Solve -m - i + 2 = -2*m, 0 = -3*m - 2*i + f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.34, 4, 2\/17, 0.5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 26625.1 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(296 - 296 - 18*c**2)*(5*c**3 - 4*c**3 - 2*c**3).\nAnswer: -36*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 + 49 - 344)*(-3 + 4 + 0)*(-3 + 1 + 0)*(-t - t + 0*t + (3 - 5 + 4)*(2*t + 4 - 4) + 3*t + 3*t - 5*t).\nAnswer: 1404*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/9))**(-1\/16)*(((m*m\/((m\/m**3)\/m))\/m*m)\/m*m)**41 assuming m is positive.\nAnswer: m**(14759\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 994*b + 994*b.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -95, -111, -135, -167, -207?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*n**5 + 20*n**5 + 109*n**4 - 55*n**5 - 60*n**5 - 8839*n wrt n.\nAnswer: -180*n**3 + 1308*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 12 = 7*v. What is the remainder when v is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6, -5, -24, -51, -86, -129?\n\"Answer: -4*s**2 + s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k**2*y*z**2 - k**2*y*z + 17*k**2*y + k*y*z - y*z**2 + 577*z**2 - 26*z wrt z.\nAnswer: 6*k**2*y - 2*y + 1154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -10*c + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -21. Suppose 0 = -4*w + 4 + 16. Let l(q) = q**2 - 4*q + 2. Let b be l(w). Solve 5*c - 27 = 3*y, m*c - 3*y + 7 = -b*y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*n**4 - 16 + 16 + (2*n**3 + n - n)*(-2*n + 0*n + n) to l*n + x*n**4 + g*n**3 + c*n**2 + b and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9856, 20145, 30472, 40855, 51312, 61861, 72520, 83307?\nAnswer: 94240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 + 13*l**2 - 2*l + 9. Let w be n(-7). Let p = w + 27. Does 26 divide 4 + p - (-2 - 123)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 0 + 0*k**3 + 1\/20*k**5 - 3*k**2 + 1\/12*k**4 + 0*k + 1\/120*k**6. Factor v(q).\nAnswer: q*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 + -44. Suppose 2*k + 8 = -s*o + 4*o, o - k + 2 = 0. Let h be (-4)\/(-14) + (o\/14 - -5). Solve h = -5*d - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b - 6. Let f be y(-2). Let q(w) be the third derivative of -7*w**f + 0*w + 1\/120*w**6 - w**3 + 0 + 1\/12*w**5 - 1\/3*w**4. Give q(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51264.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2171010 divided by 3\nAnswer: 723670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 6*l + 3. Let c be j(4). Let b = c - 5. Let v(w) = 14*w**3 + 4*w - 3. What is the remainder when v(1) is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.4, -0.5, -0.01751378?\nAnswer: -0.01751378","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*i**2*v**3 - 39*i**2 + i*v**3 - 69*v**3 - 5*v wrt i?\nAnswer: -6*i*v**3 - 78*i + v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0 = z + 6, z - 5*k - 10 = 0. Let y = 5926 + -5928. Sort 5, z, y in decreasing order.\nAnswer: 5, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -t - 8, -5*t - 10 = f + 4*f. Let u be (-9)\/(-2)*((-40)\/12 - t). Let j(w) = w**3 + w**2. Let g be j(-1). Solve u*m + 15 = -g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/65 - -113\/1105. Let z be (56\/(-70))\/((-2)\/400). Let m be -6 + z\/28 + 108\/329. Sort s, m, -0.5 in descending order.\nAnswer: s, m, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87 * -0.3.\nAnswer: 26.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46652519 and 5465.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 861.\nAnswer: 5\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from igiccighcgtggugi. Give prob of sequence iicu.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360262 = -4*z - 10*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -181*g + 159*g. Is g less than or equal to -1\/4629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -14102*m - 211608. Determine p(-15).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ab0 (base 13) to base 9.\nAnswer: -2456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 689 + -1027. Let m = r + 385. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 2*d - 72. What is the first derivative of 21 - 44 + 9 + d*l**2 wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 795332728 to the power of 1\/3, to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1350)\/(-540)*72\/20\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) 2\/11 (c) 5 (d) 2428\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 7*f**2 - 4*f - 7. Let k be y(6). Let x be (2 - 1)\/(2\/8). Suppose x*m = -4*r - 12, -3 = 3*r + 5*m + 2. Sort r, k, -4 in ascending order.\nAnswer: r, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from {i: 2, z: 2, l: 2, m: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 307624147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.142629 + 0.5.\nAnswer: 0.642629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 24. Suppose 0 = -h - 2*h + 12. Suppose h - 6 = -2*n. What is the closest to n in -0.5, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6492?\nAnswer: 2, 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1997*f + 4. Let r(u) = -3*u + 4. Let h(l) = r(l) - s(l). Let k(j) = j**2. Give h(k(o)).\nAnswer: 1994*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5328\/(-76) - ((-4)\/12 + 16\/(16416\/234)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 3 (b) 1\/2 (c) 1 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from amelalaeoee. Give prob of picking 2 e.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 12 = 4*u. Suppose 5*i - 2*g + 2 - 15 = 0, i - u*g = -1. Suppose x - i = 1. Solve x*d + 6 = 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/201 and -25\/67.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q**2 + 2*q + 1. Suppose -17 = -u + 18. Suppose 20 = -4*y - 0*y, -3*y = -5*j + u. Let v = 3 - j. Determine h(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/117 and -37\/130?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -387 - -390. Solve -p*f + 1 = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*2 + -1 - (sqrt(7) - (sqrt(7) - (2 + sqrt(7))**2))*1.\nAnswer: -12 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-131 - 228 + 205 - 668)*(2*n**2 - 2*n**2 + n**5).\nAnswer: -822*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 937 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11830\/(-6825) - (-4)\/10. What is the third smallest value in -2\/23, 0, -1, s?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100510 (base 6) to base 15.\nAnswer: -255c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/3 (b) 2\/85 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.02 + -7. Let y = -0.0200013 + s. What is y rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5319 or 5320?\nAnswer: 5320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -3\/2 (b) 2\/7 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -7, 4.\nAnswer: -7, -0.09, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -55*b - 60. Give h(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(26)\/sqrt(2))**2*-2.\nAnswer: -44 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5763 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93 + 93.1. Let s = -5.1 + 5. What is the smallest value in s, z, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 551 divide 33205464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1838.46 - 530\nAnswer: 1308.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -15. Let c = n + -61. Let o = c - -58.99931. Round o to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(0 - 3 + 4)*(2 + 4 - 4)*(-2*i - 2*i + 2*i).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -156359 divided by -5\nAnswer: 156359\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 h, and 1 g when four letters picked without replacement from sgmmgssmgmhm?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2*q = p + 1, 4*p - 3*q + 29 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 0, -2, -6, -12?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 917334 a multiple of 369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 15*n - 693. Give s(-35).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4497260 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2663*y + 2540*y - 2337 = 0 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 27*g - 3. Let s(a) = -1. Determine o(c) - 4*s(c).\nAnswer: 27*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19519197 to the power of 1\/2, to the nearest integer?\nAnswer: 4418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 244*f**3*o + 2*f**3 - f**2*o - 2*f*o - 121*f wrt f.\nAnswer: 1464*f*o + 12*f - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4 + 164*m**3 + 174*m**2 - 656*m - 664 = 0. What is m?\nAnswer: -2, -1, 2, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-7 + -5)*(2 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 - 34*s + 5. Let r be v(-17). Let l(i) = 2*i**2 + 1. Let c = 592 - 589. Let u(o) = -3*o**2 - o - 1. Determine c*u(j) + r*l(j).\nAnswer: j**2 - 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, h: 7}. Give prob of picking 2 h and 1 t.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i**3 - 3*i + 2. Let u(y) = -5*y**2 + 3 - 6*y - 2*y**2 - 11*y**3 + 2*y**2 + 4*y**2. Let g(h) = -9*s(h) + 4*u(h). Calculate g(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(4 + (2 - 6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16.65 and -145.72.\nAnswer: -2426.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -10*h**2 - 2389*h + 9545. Determine p(-243).\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, n: 10}. What is prob of sequence ncc?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 763*s**3\/3 - s**2\/2 - 725*s - 5197. What is the derivative of c(x) wrt x?\nAnswer: 1526*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 12 = 2*v, -2*v + 0*a = a + 8. Let m(o) = -834*o - 2. Let i be m(v). Let l be (72*90)\/((-2)\/i). Round l to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 c when two letters picked without replacement from {f: 2, c: 3, d: 1, t: 4, y: 4}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 - 20036*b**3 - 60136*b**2 - 40096*b.\nAnswer: 4*b*(b - 5012)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 33995 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4 = -2*z - 0*l, -5*z - 9 = 4*l. Suppose -16*x + 616 = 536. What is the nearest to -3.8 in 2, x, -5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.56 - 22.44. Let r = q - -23.1. What is the nearest to r in 5\/3, 0.1, 2\/19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1915248859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5\/17 + 150*v**4\/17 + 3992*v**3\/17 - 18240*v**2\/17 = 0. What is v?\nAnswer: -24, 0, 4, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17366 and 763190.\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2. Let c = 2 - -2. Suppose h = c + z. Solve o - h = -5*l, 5*o + 3*l - 3 = -0*l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3232 or -256?\nAnswer: -3232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2341525*d**2 + 6*d + 50477258?\nAnswer: -4683050*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54617.9 + -54618. Let k = 0.01 - -3.99. Sort -3\/7, i, k in descending order.\nAnswer: k, i, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 19 = 2*n, t + 1891396 = 5*n + 1891426 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2512151842 to the nearest integer?\nAnswer: 1359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 10 + 5 - 650412*t.\nAnswer: -650412*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 90617346?\nAnswer: 90617346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 6638244927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1753*f**3 + 2*f + 2. Is z(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/4, -5, -3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 839352855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from poooooopo?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (0 + -23 + -37 + 45).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 53 = 4*y, 3*y + 40 = -4*o + 9*o. Let z = -6 - -4. List the prime factors of o\/z*(1 + -3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x = 26*x - 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*p + 95*p - 324*p + 77*p + 95*p.\nAnswer: 31*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 782 + -497. Let j = k - 280.94. Let c = -0.06 + j. Sort -0.5, c, -5 in descending order.\nAnswer: c, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d - 7 - 887*d**2 - 4*d**3 + 887*d**2 as b*d + r*d**3 + m*d**2 + y and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p - 10*p - 13*p - 5*p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1555*l**3 - 3*l**4 + 1565*l**3 + 16*l**2 + l - 1 - 1 - 3121*l**3 in the form k + p*l**2 + y*l + q*l**3 + d*l**4 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 1.2. Let r = -1 + 1. Let m = r - -1. Which is smaller: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v + 8. Let x be j(-11). Which is the second biggest value? (a) x (b) -0.2 (c) -1\/4 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1\/5))\/v**(-1\/10))\/(v**(1\/2)\/v*v)**13*(v**(-9)*v**6\/v*v)**23 assuming v is positive.\nAnswer: v**(-371\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5436 by 6.\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4\/c*c*c**(-5\/3))\/(c**(1\/4))**(-14\/5) assuming c is positive.\nAnswer: c**(91\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 12:53 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 1 = 0, -3*o - 15 = 11*s - 15*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -3*c - 2*c. Let z(k) = k**3 + 14*k**2 + 12*k - 11. List the prime factors of z(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-four fifths of a kilogram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - -0.6. Let n(f) = -f**2 + 2*f + 1. Let y be n(-1). Let d be (y\/(-2) + 0)*-2. What is the second smallest value in d, 1\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.8 + -11. Let y = -20.3 - -20. What is the nearest to i in -5, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + 14. Let o(z) = 18*z + 80. Calculate the remainder when a is divided by o(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1479 is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzwc when four letters picked without replacement from xzcww?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 33*k + 1 - 40*k + 87*k to the form h*k + t and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 338416510 divided by -67683302?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*v + 15*v + 22*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.4 + -0.6. Let i = -4 - t. Let r = i - -1. Put r, -4, -1 in descending order.\nAnswer: r, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -273+3\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 112 and -530927.\nAnswer: -530815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -42, 59938?\nAnswer: 59938","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*j - 9. Find the first derivative of 33*b**j - 20 + 28*b**2 - 28*b**2 + 45 wrt b.\nAnswer: 99*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2384199541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 1:45 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 2:52 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 46 = 4*s. Suppose 7*j - 3*j = -2*l - 30, 4*l = -5*j - 45. Suppose 16*w - 131 = -179. Sort 1, s, w, j in descending order.\nAnswer: 1, w, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1418 and 6.\nAnswer: -8508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-64))\/(6\/8)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z. Suppose -2*r - 6 = 2*u + r, -u + 3*r = -15. Let v(n) = u*n**2 - 3*n**2 - 8*n**2 + 12*n**2. Calculate h(v(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -406 - -406.998. What is h rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*c**3*g*q**2 - c**3*g + c**3*q - 3*c**2*g*q - 7*c**2 - 12*c*q**2 wrt g?\nAnswer: 13*c**3*q**2 - c**3 - 3*c**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 124, 83, -42624 in ascending order.\nAnswer: -42624, 83, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*q = 16 - 5, q = 2*u - 34. Suppose -v + 2 = 3*d - 12, v = 2*d + 24. Is u less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k - 2. What is the units digit of v(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1219*87\nAnswer: 106053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 15) in base 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjg when three letters picked without replacement from jjjjgjggggggjj.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 4, 2\/13, 0.4, -2\/167, -0.005?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*l - 7 - 2, 0 = -4*k - 12. Solve l = 3*o + 2*o - 15, -19 = -5*m - 3*o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 283 + 5. Let f(j) = 45*j**2 + 1122*j + 93. Let k be f(-25). Calculate the highest common divisor of k and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49709 = -7*b + 779. Let t be b\/(-18) - ((-8)\/3 - -3). Suppose -c = 2*y - y - 120, 4*y = 3*c - t. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18895927 by 402041.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/59)\/x**(2\/3))**(-35) assuming x is positive.\nAnswer: x**(4340\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -246104 + 246103.789978. Let o = z + 0.21. Round o to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*m**5 - 7*m**4 - 3722*m**3 - 1197*m**2 + 4889 wrt m.\nAnswer: -2640*m**2 - 168*m - 22332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-28)*o**(-14\/5))\/(o**(9\/4)*o*o\/((o*o*o**(8\/11)*o)\/o)*o) assuming o is positive.\nAnswer: o**(5429\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -695 (b) 9.7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*d - 1. Suppose -4*q - n + 24 = 0, -5*n = q + 2 - d. Find the third derivative of 0*x**2 - 2*x**2 - q*x**3 + 5*x**3 wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1675480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 8 = 4*b, 0 = -3*b + 6*b - 2*n + 1. Suppose -b*g + 806 = -q + 30, 0 = -4*g - 5*q + 1060. Is g a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334897379?\nAnswer: 173, 1935823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.3, 116, -47\/10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 36 = -4*h + 4, -3*q + 20 = h. Suppose -h*k + 5 = 0, -k = 3*j + j - 17. Let g = -16\/49 - -2\/49. What is the third biggest value in j, 0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**5\/4 + 3*x**4 - 47*x**3\/4 + 13*x**2 + 12*x - 16 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 20*g - 61. Calculate the remainder when r(6) is divided by 20\/6 - (-12)\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 8*a**2 - 80*a - 955. What is o(18)?\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3632868.62 to the nearest one hundred.\nAnswer: -3632900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 846 + 854 = 0. Let q be ((-99)\/44)\/(0 - 6\/s). Determine m so that 24*m + 96 + q*m**2 = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 47 + 103 + 18. What is the least common multiple of 1078 and c?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 39425.97 nanograms?\nAnswer: 0.00000003942597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57 - (24\/(-1))\/(-6)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002722498 to 6 decimal places.\nAnswer: -0.002722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*t**2 + 12*t**2 + 0*t**3 - 12*t**2 + 304 + 2*t**3 + 2*t - 18*t**2 to the form n*t**2 + k*t + j + p*t**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*k = -44, 3*w - 18 = -k + 114. Are 44 and w equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100 + -1001101?\nAnswer: 10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1013243 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + 61 - (-3 + -26 + (21 - -18))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*b - 30 - 4 = 0. Sort b, 57, 0, -5 in ascending order.\nAnswer: -5, 0, b, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 7*f - 10. Let z be w(-5). Suppose z = -n + 2*n. Suppose n = -2*m + 1 + 111. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -22. Let w = 4 + 7. Let l(k) = -3*k + 14. Let u(s) = 8*s - 42. Let b(h) = w*l(h) + 4*u(h). Determine b(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-8)*32\/12. Let a = -4 + o. Find the third derivative of -h**3 - h**2 + 2*h**4 + h**3 + 2*h**a wrt h.\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1748 - -862. What is the common denominator of 133\/12 and (-1)\/l*(12 - (10 + 21))?\nAnswer: 5316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3)*2*-45. Let y = u - 59\/2. Is 0 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*r**3 + 3*r**2 - 122.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -56e + 4?\nAnswer: -56a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**2 + 31*a - 16. Let n be k(-9). Suppose -n*r = -26*r - 21. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 - -50.2. Let i = -11 - n. Let z = -0.4 - i. What is the closest to z in -3, -2\/7, -2\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + 0*b - b**3 + 6*b + 9*b + 2 as m*b + x*b**2 + z*b**3 + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91668936 and 112680.\nAnswer: 7512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 7 = 11*b, -4*b + 3866*f = 3863*f - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(((-3)\/(-3))\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/5 - 1383530*r**3 + 1595104018560*r**2 - 612971886475468800*r - 33718279175995392000.\nAnswer: 2*(r - 1152960)**3*(r + 55)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18576 and 8208?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2754)\/(-85) - 4\/10. Let q = 33 - u. What is the smallest common multiple of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1597 - -306. Let u = -1295 - q. Let r = -7\/2 - -53\/14. What is the closest to 1 in 0.5, u, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 6:49 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 5:30 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 736902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7033, -7036, -7039, -7042?\nAnswer: -7045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 447228*o**2 + 1795*o - 21 wrt o.\nAnswer: 894456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-95)\/10 - (3\/6 - 2). Let s(x) = -31*x + 935 + 0*x - 996. What are the prime factors of s(f)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 172698 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110462*c**2*d**5 + 6*c**2 - 17*d - 121 wrt d.\nAnswer: -2209240*c**2*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 53*p**2 + 44*p + 429. What is j(52)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (4*sqrt(216))\/sqrt(3) + (4*sqrt(490) - sqrt(490))\/sqrt(5) + 1)**2.\nAnswer: 180*sqrt(2) + 4054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2425 = 11*n - 3735. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*sqrt(27)\/sqrt(9))**2 + -4 + -1*sqrt(300) + sqrt(300).\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 0*g + 3*g)*(2*g - 2*g - 2*g**3) - 29*g**3 + 9 + 29*g**3 - g**4 to the form x*g**4 + i*g**3 + a*g**2 + r + y*g and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73 - 60. Suppose s*h - 4 = 15*h. Suppose 3*g - 4*k = 22, -3*g + 4*g - 7 = k. Sort -4, g, h.\nAnswer: -4, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1486530761 to the power of 1\/3, to the nearest integer?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 1655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 2*g**2 + 0*g**2)*(4*g + g - 2*g)*(-3*g + 2*g + 3*g) - g**4 - 2*g**4 + 5*g**4.\nAnswer: 14*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + -10. Suppose -5*q + 190 = -h. Let n = -24 + q. Calculate the highest common factor of n and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.5112 * 0.18.\nAnswer: -4.052016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169.3178*-0.2.\nAnswer: -33.86356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -243, -549, -977, -1527, -2199?\nAnswer: -2993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 8:54 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, j: 9}. Give prob of sequence jmj.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.8 and 108.9?\nAnswer: 111.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 0*m - 2*m + 6*m. Let v(u) = 2*u**2. Give b(v(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4381.7 and 3.\nAnswer: 13145.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.9545 + 0.2125. Let s = h - 11.1. What is s rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*z + 8*z - 584200 - 75728. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 + -8495597.\nAnswer: -8495654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5115*t + 20 = 2*j - 5112*t, 3*t - 20 = 2*j + 2*t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-450)\/200)\/((-30)\/(-4)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/d**(-3\/4)*d**(5\/9)*d assuming d is positive.\nAnswer: d**(155\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 15601 = 7389. What are the prime factors of m?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3531424 - -3136?\nAnswer: 3534563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.41 - -0.7. Let w = -15.29 + r. Let g = 15 + w. Is 8 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/96)\/((-144)\/192). Sort -21, -96, r.\nAnswer: -96, -21, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -597*k**2 - 8*k + 273*k**2 + 340*k**2.\nAnswer: 16*k**2 - 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*n = -2200, -6*r + 4*r - 4*n = -904. Is 28 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/15 + 94489\/3. Let f(g) = -43504*g. Let i be f(-1). Suppose -d + i + r = 0. Round d to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 3*r**5\/10 - 7*r**4\/8 - 28*r**3 - 27*r**2 + 2627. Determine s, given that m(s) = 0.\nAnswer: -6, -2\/3, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuujzjjjzjjs. Give prob of picking 1 u and 1 j.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*m - 6962 - 9149 = 3983*m - 2812 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 26 = 5*j, 2*j = 319*c - 314*c + 15. Let k(n) = 2*n - 10. What is k(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from {g: 1, c: 1, l: 2, u: 2, x: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -99 and 154859251.\nAnswer: 154859152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 6. Let z = 2 - p. Find the third derivative of 3*c**2 + 3*c**6 - z*c**6 - 3*c**6 wrt c.\nAnswer: -480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 53\/119 or -2\/3?\nAnswer: 53\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**4 - 2*d**4 - 4*d**4 + (0*d**4 - 2*d**4 + 4*d**4)*(-3 + 5 + 0))*(-4 + 9 + 5).\nAnswer: 20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 424 + -409. Suppose -47*p + 126 = -y. Factor -1\/4 - 3\/4*f - 3\/4*f**2 - 1\/4*f**p.\nAnswer: -(f + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15 - -24)*1\/(-3). Let m be 190 - ((-1)\/(2 - 1) - j). Suppose -34*i + 32*i = -m. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdodoovood. Give prob of picking 1 d and 2 v.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001293675 to 6 dps.\nAnswer: 0.000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (150 - 116) - -24?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - (sqrt(110) + -2*sqrt(110)*-1))\/(sqrt(50)\/sqrt(80)).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -150, 1\/6, -5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 3 - 1*-4. Let z be n + 52 + 1 + -1. Let f = -170\/3 + z. Put f, 0.2, -1\/6 in descending order.\nAnswer: 0.2, -1\/6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-9\/4)*f**(7\/4))\/(f**(-5\/4)\/f*f)**(-2\/13) assuming f is positive.\nAnswer: f**(4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8406 - -8407. Put 17\/5, -1, x in decreasing order.\nAnswer: 17\/5, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3698.9361846724 and 35?\nAnswer: 3733.9361846724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11454 - 0?\nAnswer: 11454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 9*j + 3. Let s = -8 - -17. Let x be d(s). Suppose -39 = -x*t - 0*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 + 54. Let r be u\/2 - (-9)\/(180\/(-25)). Is r greater than -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/4 (b) 845.4 (c) 1\/4 (d) -3 (e) -155 (f) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fdgokhhg. Give prob of sequence fhg.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.7961 hours to seconds.\nAnswer: 150465.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (40\/(-15))\/((-2)\/3). Let f(g) = -2*g**3 + 2*g**2 + g - 1. Let b be f(1). Solve -6*v + d*v + 10 = b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82445 + -577117\/7. Let v = -26 - -183\/7. Sort v, w, -1\/7, 1\/2 in ascending order.\nAnswer: w, -1\/7, v, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eed when three letters picked without replacement from {d: 2, e: 18}?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 6 - 24 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1197, 1189, 1167, 1125, 1057, 957, 819, 637?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 1. Let t be s(6). Let b = t + -9. What is the highest common factor of b and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -2, -4, -3, 20 in ascending order.\nAnswer: -4, -3, -2, 3, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 14. Suppose -r*a + 5 = -a. Solve -a*w = -2 + 27, -4*b - 4*w = 40 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - 21 - (1 + 1) - (9 - 10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3*f + 2)*(-5 + 4 - 1) + (-1 + 1 + f)*(0 + 5 - 4) + (-3 - 2 + 13)*(-3 + f + 3) in the form t + m*f and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57116.94 months to centuries.\nAnswer: 47.59745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18820651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/(103341\/(-1848)) + (2\/7)\/(-1).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1642*i - 1630*i - 1627*i - 1631*i + 6537*i.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 312 - 1212. Let b = a - -983. What is the remainder when b is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 11:35 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 924 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by -12*(-6)\/18 - (-21 + -1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (308\/(-2772))\/(7\/(-12)*2*(-2)\/(-4))?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 - 12*f - 22 + 8 + (0 - f + 0)*(0 + 3 - 1) + f - 2*f + 0*f + 0*f + 0*f + 2*f + 2*f - 6*f + 2*f.\nAnswer: -15*f + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10\/28481 - 3959459\/1708860. What is the common denominator of k and (-2 - 0)\/(288\/219)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 5, 217, 4, 3, -24 in ascending order.\nAnswer: -24, -1, 1, 3, 4, 5, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -568*h - 2*h**2 + 568*h + 468.\nAnswer: -2*h**2 + 468","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**3 + 332 - 166 - 166.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*r, 2*j - 3*r = -3*j - 5. Let u = 15.78 - 16. Let l = 0.18 - u. Which is the third biggest value? (a) -3 (b) j (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4166 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*3 + (-9)\/1 + 8. Let i be a\/(-12) + (-171)\/(-54). Solve -2*g = -2*x + i*g + 3, 2*x = -5*g + 13 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (465\/2790)\/(3\/(-774))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -8*j**3 + 88*j**2 - 8*j - 538. Let u(f) = 3*f**3 - 32*f**2 + 3*f + 179. Determine 4*l(d) + 11*u(d).\nAnswer: d**3 + d - 183","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q = -28 - 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1790 - 2635 - 2432)*(7*c**2 + 2*c**2 - 5*c**2) to o*c + s + m*c**2 and give m.\nAnswer: -27428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**2\/3 + 122*m - 8840\/3 = 0.\nAnswer: 26, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.6903 millilitres to litres.\nAnswer: 0.0676903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -17*g**2 - 4*g + 7. Let x(h) = 8*h**2 + 2*h - 3. Let v(z) = -6*q(z) - 13*x(z). Let f(j) = 2*j**2 + 3*j + 4. Give 3*f(c) + 4*v(c).\nAnswer: -2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 18988870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -26. Suppose 2*j - 263 = 3*i, -i = j + q*i - 136. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3277 = 50*o + 2827 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (458 - (75\/(-9))\/((-240)\/288))*68\/238.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18365177 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 646 minutes before 7:33 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1121095 and 1235?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -25*f**4\/12 + f. Let m(l) = 115*l - 89*l - 27*l. Give j(m(z)).\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 12. Let y(z) = -z**2 - 6*z. Let q be y(-6). Is 5 a factor of g(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5 = 2. Let b(d) = -d + 1 - v. Let c(k) be the third derivative of k**4\/6 + k**3\/6 - 2*k**2. Give 9*b(m) + 2*c(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, b: 1, e: 1, i: 1, v: 3, a: 6}. Give prob of sequence aeva.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 + 11*x + 8. Let z be h(6). What are the prime factors of (-28)\/(-6)*(-1 - z)*-4?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 194 and 3?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(2\/3))**43\/(z**(-2))**(-2\/75) assuming z is positive.\nAnswer: z**(357\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11000011101110111111 (base 2) to base 11\nAnswer: -4a8393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 67, 96, 89, 46, -33?\n\"Answer: -18*d**2 + 83*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1585.61 rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2*a + 3*a)*(24*a - 41*a + 5*a)*(-1 + 2*a + 1) + (-4*a + 4*a + 2*a)*(-2*a**2 + 2*a**2 - a**2).\nAnswer: -98*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 76596, 306344, 689260, 1225344?\n\"Answer: 76584*o**2 - 4*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14100730 + 14100730.061999285. Let h = s + -0.062. Round h to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*o**3 - 4*o**2 - 6*o - 12765 wrt o.\nAnswer: 144*o**2 - 8*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (-9 - 5) + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 82*z + 17. Let h(w) = -81*w - 17. Let g(u) = -3*h(u) - 2*j(u). Let d be g(7). Round d to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 minus 0.05?\nAnswer: -48.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 8 + 7 - 13*r + 9*r.\nAnswer: -4*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**3 - 4*f**2 + 3*f + 2. Let i be b(2). Solve -4*a + i = 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2784 + 4271. List the prime factors of x.\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -47247, -44699, -42153, -39609, -37067?\n\"Answer: -o**2 + 2551*o - 49797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (72\/1224)\/(9\/51)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-10) - (-15)\/25. Suppose -u*a = -a. Let v = a + 1. Calculate the smallest common multiple of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-22 - 2) + (-4)\/6 + (-5423)\/(-13332)?\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(9)\/sqrt(3)) - (-1 + sqrt(304)))**2 - (sqrt(152) - 4*((2*sqrt(152) - sqrt(152)) + sqrt(152)))\/sqrt(8).\nAnswer: sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, o: 3, l: 1, x: 1, u: 5}. What is prob of sequence ax?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1290154932 and 594?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1734 times 0.05115?\nAnswer: 88.6941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 100\/75 + (-2780)\/6. Let y = a - -466. Solve -7*c + 5*b - 16 = -3*c, 0 = -3*c + y*b - 13 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 + -1. Let y = -0.4 - -1. Let r = y + c. What is the nearest to -2\/3 in r, 5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5, 2\/29 in ascending order.\nAnswer: 2\/29, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26\/(-6)*(-23)\/((-966)\/63). Which is the second biggest value? (a) h (b) -2\/9 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6*z**3 + 6*z**2 + 5*z - 3. Let m(j) = -30*j**3 + 30*j**2 + 28*j - 16. What is -2*m(p) + 11*w(p)?\nAnswer: -6*p**3 + 6*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04486 - 0.24486. Let l = -5 - -7. Which is the nearest to l? (a) 2 (b) 3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -1108*u + 11376. Give n(10).\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*w - 1040020 = -b, w - 3*b = 519996. Suppose -7*v = 3*n - 10*v - 779994, 2*n = -4*v + w. What is n rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1520\/(-133) + (160\/(-35) - -5)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 722332182 to the power of 1\/3, to the nearest integer?\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1880\/50 + 0 + (-2)\/(-5). What is the second derivative of -5 - w + 2*w - 34*w**4 - b + 0*w wrt w?\nAnswer: -408*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 77 - 8*i - 5*i + 19*i - 42.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1665, -3374, -5075, -6768, -8453, -10130?\n\"Answer: 4*x**2 - 1721*x + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1667\/285 + -3\/190. Find the common denominator of 17\/224 and w.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 857897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4874?\nAnswer: 2, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1001 and 125034.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 - 32. Suppose -2*l - k = -3*l + 11799, -k - 58999 = -w*l. What is l rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = 19 - 19. Suppose -2*p - c + 2 = -0, 0 = -2*p + 3*c - 14. Sort 1, w, p in ascending order.\nAnswer: p, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001021 rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 971194 and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-10)*25\/(-5). Suppose -f*t - t = -48. Suppose 20 = d - 2*l, 4*d - 145 = -d + l. What is the remainder when d is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m**2 + m. Let x be h(-1). What is the first derivative of 5 - 1 + n**x - 2 - 3 wrt n?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -399, -387, -361, -315, -243, -139, 3, 189?\n\"Answer: w**3 + w**2 + 2*w - 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-27))\/(2286\/298323).\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208063.\nAnswer: 17, 12239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -46, -65, -84, -103, -122?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 562651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124271 and 73472.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*p - 40*p - 162 = 0. Suppose -2*g - 4 = -2. Let z(x) = x**2 + 7*x + 4. Let b be z(-7). Sort b, 2, p, g.\nAnswer: g, 2, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2184 divided by -8.\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003217196687 rounded to seven decimal places?\nAnswer: 0.0032172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*(sqrt(11) + -3) - sqrt(11)).\nAnswer: -sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen halves of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*g + 2)*(-2 - 4 + 4) + 16 - 11 + 5*g - 6.\nAnswer: 9*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.6221749 millennia?\nAnswer: 6.221749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 3*g + 44 = 4*v, 14 = v - 4*g. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 11:31 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**5\/2 + 11*q**4\/2 + 4*q**3 - 2*q**2.\nAnswer: q**2*(q + 2)**2*(3*q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 10 + 12)*(4*l**3 - 5*l**3 + 0*l**3).\nAnswer: -26*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -56940114117 and 1.\nAnswer: -56940114116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 19.2. Suppose -8*z + 3*z - 5 = 0. Let i be z*(-1)\/15*-2. What is the closest to q in -1\/4, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 402 = 4*n - 1874, -4*n = 3*h - 1493. Suppose 2*m - n = -377. Let t = -8\/3 - -35\/12. Which is the nearest to 0.1? (a) m (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x + 37. Let r be w(-8). What is the smallest value in 295, r, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6) + (-40)\/(-42). What is the nearest to 0.2 in c, -0.5, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -727, -659, -577, -481, -371, -247?\n\"Answer: 7*k**2 + 47*k - 781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a - 17*a + 24 = -32*a. Put a, -2\/7, -1\/8, 2\/7 in descending order.\nAnswer: a, 2\/7, -1\/8, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxxphxexxehxxpkexx. Give prob of picking 1 h and 1 p.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 70?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 230404411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**2*x**4 - 18*a**2*x + 24*a**2 wrt x?\nAnswer: -4*a**2*x**3 - 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12611, -25221, -37831?\n\"Answer: -12610*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(396) + 5*(sqrt(396) + sqrt(396)*-2))**2 - ((sqrt(396) + -1)*4)**2) + (1*(5*2*sqrt(396) - sqrt(396))*6)**2.\nAnswer: -384*sqrt(11) + 1154768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7784 - -9385. What are the prime factors of d?\nAnswer: 3, 59, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-3 + 9)*(-9)\/24. What is the closest to -2\/5 in 2\/11, h, -7.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a - 17 = -4*q, 0 = 3*q - 15. Let f(c) = -22*c**3 - c**2 - c - 1. List the prime factors of f(a).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-6))\/((200\/(-525))\/(12\/49))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6) - (-28)\/12. Let b be 0\/3 - (g - 3). What is b rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 10:09 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/((-32)\/(-12)) - -12. Let j(i) = 17*i**2 + l*i**2 - 25*i**2 + 7*i - 7. Let a(w) = 8*w + 1. Let z be a(-1). Determine j(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 8*a - a = 0. What is the tens digit of a + (-3 + -160)*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315146 to the power of 1\/2, to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.229 - -3.771. Let b = 0.1 - 3.1. Sort 3, b, y in descending order.\nAnswer: y, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 4:32 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 210000?\nAnswer: -210011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -110 and -37.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 4. Let r be v(0). Solve 0 = -4*m + 2*m - r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387419 is divided by 940?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 12\/53, 15, 0.81?\nAnswer: 12\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(117)*-2)\/sqrt(9))**2 - sqrt(39)\/(2*sqrt(3))) + -3*(-2 + -4 + sqrt(13)*-2))*2.\nAnswer: 11*sqrt(13) + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 92?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -554.04 and 57.\nAnswer: -31580.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (((25 - 3) + -5 - 4) + 2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2016945 and 972990.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 16*u**2 + 0*u**2 - 15*u**2 + 2*u + 3*u**2 + 0*u**2 to x*u**2 + h*u + i and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptx when three letters picked without replacement from {g: 2, t: 1, p: 2, n: 1, x: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 5:32 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3101\/66 - -283\/6. Which is the closest to 1? (a) w (b) 1 (c) 0.049\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9, g: 9}. Give prob of picking 4 w.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11214 - -11214. What is the second smallest value in -22, -5, 4, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 42 = -21. Suppose -11*h = -w*h - 16. Suppose -4*j = 4*o, -3*j + h*j = -3*o + 4. Sort 6, o, 5, 1 in decreasing order.\nAnswer: 6, 5, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 6*n + 21. Let s(p) = 339911*p - 339912*p - 2 - 2. Let a = -6 - -8. Give a*z(x) + 11*s(x).\nAnswer: -2*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -132?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 23872, -77, 3 in decreasing order.\nAnswer: 23872, 4, 3, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -820 and 187.\nAnswer: -153340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*n - 58 = 0, -n + 0*n = 5*f - 227. Suppose 0 = f*c - 64*c + 45558. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 210*k**3 + 359*k**2 wrt k.\nAnswer: 1260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**4\/24 - 11*q**3\/6 - 10*q**2. Determine k(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/21 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 424121701 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 455?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 5*m - 84 = -60, -5*m + 37 = -17*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + m**3 - 43*m + 4 + 54*m + 2*m**4 in the form r*m**2 + s*m**4 + a*m + c*m**3 + x and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17 - 1307*d**2 - 1164*d**3 - 17 + 6198*d**2 wrt d.\nAnswer: -6984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, f: 4, n: 1, m: 2}. Give prob of sequence fno.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*t + 1107 = -4*t, 2*n - 2216 = 3*t. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**2 + 31*p**5 - 63*p**5 + p**2 + 28*p wrt p?\nAnswer: -640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(7) + sqrt(7) + sqrt(2268)).\nAnswer: sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -53*v - 1 - 12*v**2 + 0 + 48*v. Let d be y(-1). Which is greater: -16 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 46?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126 + 118 + 127 + 80 - 8551*l - 451.\nAnswer: -8551*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 2*y + 1. Let l = -2 + 0. Let a be g(l). Let r(j) = j**3 + 7*j**2 - 175*j - 1360. Let v be r(-12). Solve -a*h - 5 - v = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-190)\/(-8) + 7\/28?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 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: What is next in 682, 2819, 6412, 11461, 17966, 25927?\nAnswer: 35344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4811 less than 1.7273?\nAnswer: -4809.2727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7731 (base 12) in base 11?\nAnswer: 9967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 495081087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 7*i**2 - 8*i - 3. Let v be z(-6). Let l be (-190)\/(-45) + (-2)\/v. Solve 9*m + 15 = l*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.10054 * -3.\nAnswer: 0.30162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.01 (b) -1\/4 (c) 0.52 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200 and 900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqqsvsqcsqscs. Give prob of picking 1 q, 1 c, and 2 s.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 37112, 37303, 37468, 37607, 37720?\n\"Answer: -13*g**2 + 230*g + 36895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -6*b + 2*b - 4, 4*b = -5*s - 28. Let r(a) = a**2 + 2*a - 1. Give r(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -599044 divided by 16.\nAnswer: -149761\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -479\/1948 - 2\/487. What is the second biggest value in 0, n, -22, 1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3 = 18. Suppose 4*x - n = 7. Solve d - x*d = -10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/9))**(-29))**19\/(((z\/(z\/z**(1\/3)))\/z*z)**(-9)*(z*z*z**1*z*z*z)**19) assuming z is positive.\nAnswer: z**(103\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2131\/10 + -11588\/55. What is the common denominator of (1\/2)\/((-11)\/(-29)) and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 + -133. Let l = 105 + x. Let t = l - 51. Sort t, -1, 2.\nAnswer: -1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(57)\/sqrt(3)*-2 + 3.\nAnswer: -6*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*g + 58, 54 = -3*a + 7*a - 5*g. Calculate the remainder when 27 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 107\/11 or -0.2?\nAnswer: 107\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 - (-86 + -9 + 80 + -78).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 17*y**2 + 20*y - 4. What are the prime factors of m(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -5 (c) -1424\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -17*n - 65. Let c be j(-5). Calculate the greatest common factor of c and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/46)\/((-444)\/(-851)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 52*b - 138 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven halves of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 + 157*m - 11. Let c be o(49). Calculate the highest common factor of 45 and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.18 (b) 2 (c) -1\/5 (d) -27 (e) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, h: 5, d: 2}. Give prob of picking 1 k, 1 d, and 1 h.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -9*c + 7. Let p(l) = -l**2 - 5*l - 3. Let u be p(-5). Let o(b) = -b + 13. Let f be o(20). Let i(r) = 4*r - 3. Calculate f*i(g) + u*w(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 7*z + 64 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, g: 1, s: 1, e: 4, a: 8}. What is prob of sequence as?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 12. Let z(l) = l**3 + l**2 - 2*l. Let c be z(2). Let v be k(c). Let w be 4\/6*v*2*3. Solve 4*n - 4 = w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, f: 1}. Give prob of sequence fr.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 3358289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*y**2 - 62*y**2 - 714 + 67*y**2 - 557 to p*y**2 + v*y + w and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581.\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 - 64. Let d(m) = -1114*m + v - 3 + 117*m - 271*m. Is d(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28173.3 (b) -1\/8 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + z - z)*(24*z**2 - 44*z**2 + 14*z**2).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136684 is divided by 4269?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154, 313, 470, 619, 754?\nAnswer: 869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18912945 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(5) + (1 + sqrt(5) + sqrt(5))**2 + (2*sqrt(605))**2 + -4 + ((sqrt(405)*-3)**2 - sqrt(405)) + -4 + -1*sqrt(5).\nAnswer: -5*sqrt(5) + 6083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000319067 rounded to five dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**4 - m**3 + m**3)*(3 - 4 - 1)*(m - 2*m + 2*m).\nAnswer: 8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 21*l**2 - 15*l - 150. Let t be i(22). Let p(g) = g**2 - 5*g. What is p(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173333 is divided by 3607.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 3 (c) -1.7205\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x - 460 + x + 468.\nAnswer: 4*x + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 259264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**2 + 0*p + 0*p**3 + 3 - 1\/2*p**4. Find the second derivative of b(w) wrt w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18.976 * 0.2\nAnswer: 3.7952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/5, 4, -0.0271, 0.04 in descending order.\nAnswer: 4, 2\/5, 0.04, -0.0271, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 1 + 0*j**3 + 2*j**3 - 3*j**3. Let l(x) = 0*x**3 + 2*x**3 - 3*x**3 - x - 3*x**2 + 2. Let s be l(-2). Determine r(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274306400 to the nearest integer?\nAnswer: 16562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4033\/19704 - -3\/821. What is the closest to -1\/3 in 1\/2, -3\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 570, 575, 582, 591, 602, 615?\n\"Answer: j**2 + 2*j + 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**2 - 62080*k - 240870400 = 0.\nAnswer: -7760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + 7*b + 48. Let q be g(-13). Suppose 5*l = q + 425. What is the smallest common multiple of 8 and l?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 11*a**2 + 11*a + 17. Let y be m(12). Solve 2*w - w + y*x = 29, 0 = 5*w - 2*x - 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 5:57 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**7\/420 - 3*b**4\/8 + 4*b**3\/3 - 5*b. Let q(v) be the second derivative of d(v). Differentiate q(n) with respect to n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 8:37 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 498, 485, 462, 423, 362, 273?\n\"Answer: -t**3 + t**2 - 9*t + 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/7))**(2\/3)\/((r**(-5)*r)\/r*r*r*r\/(r\/(r*r**14))))**(3\/16) assuming r is positive.\nAnswer: r**(-117\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03528 + -0.00472. Which is the smallest value? (a) -56 (b) -0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 1\/4*o**4 - 3\/2*o**2 - 3*o - 1 - o**3. Calculate x(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1404 and 10287.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-8)\/(-32)*52\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i**14\/i)\/i)\/i)\/i)\/i*i)\/((i*i\/i**(-1\/15)*i)\/i) assuming i is positive.\nAnswer: i**(119\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/7)*m**(-2)*m*m)**(2\/33) assuming m is positive.\nAnswer: m**(-2\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 6:45 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t**(12\/11))\/(t\/(t*t\/((t*t\/t**(-1\/10))\/t)))*(t**(-1\/7))**32 assuming t is positive.\nAnswer: t**(-447\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4401, -14281, -29639, -50475, -76789?\nAnswer: -108581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odl when three letters picked without replacement from uoxld.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/10, -0.08, 0.5, -5, -100, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -2. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2)\/(5\/(-10)). Let n be (-2 - (0 + y))*15. Find the common denominator of -74\/9 and -2 + (-48)\/n + -2.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6823 and 1.66.\nAnswer: -6821.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8732, -17463, -26204, -34961, -43740, -52547, -61388, -70269?\nAnswer: -79196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**4 + 3*u**4 - 2*u**4 + (15*u - 7*u - 9*u)*(-23*u**3 - 6*u**3 + 0*u**3) + 2*u - 2*u + 2*u**4.\nAnswer: 30*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5892095?\nAnswer: 5, 11, 9739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58791670?\nAnswer: 2, 5, 7, 119983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1938.9 - 0.83\nAnswer: -1939.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1 (b) -5 (c) 3\/11 (d) 4\/5 (e) 118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.6 (b) -0.5 (c) 200\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*h**4 + 70232 - 7*h**4 - 38*h + 2*h**4 - 68213 wrt h.\nAnswer: -8*h**3 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39362554 a multiple of 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 8 = 0, -w = 6*c - 4*c - 4. Let r(n) be the third derivative of -1\/108*n**4 + 3*n**2 + 0*n**3 - 1\/540*n**6 - 1\/135*n**5 + 0 + w*n. Factor r(p).\nAnswer: -2*p*(p + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 less than 130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 5*f + (f + 2*f - 6*f)*(-4 - 2 + 5).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2681803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 12*v + 8588 = 0. Factor 2432*h - 230 - 863*h**2 - 258 - v*h**2 - 59*h**3 + 31*h**3 - 22*h**3.\nAnswer: -2*(h + 61)*(5*h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2. Let r = -4 - -12. Let i = -5 + r. Let f(y) = i*y - 4*y + 4*y - 4*y. Give f(x(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o + 138. Give g(-24).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16833935 by -6857.\nAnswer: 2455","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*z + 5*z - 2 + z.\nAnswer: 46*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -3375444643.\nAnswer: -3375444643.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.1 (b) 5 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/7)*p*p**(-8\/5)\/p*p assuming p is positive.\nAnswer: p**(-26\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1825758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672*t + 3*t + 161336 = -2213*t - 165008 for t.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2395, -2377, -2369, -2377, -2407, -2465?\nAnswer: -2557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/34 - 287\/(-17). Suppose 2*j - 157 = -b. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2273, 7626, 16053, 27554, 42129, 59778?\n\"Answer: 1537*w**2 + 742*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (21\/(-21))\/((-1519)\/(-186)). What is the nearest to -2 in m, -1\/5, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 330300 - -133030021?\nAnswer: 200020321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttnnunutnn. What is prob of picking 2 n?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5908 - -5907.7. Which is the closest to -1.5? (a) -3\/8 (b) 8 (c) l (d) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1950761 is divided by 90.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22 + 7)\/(-1))\/(65\/195).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -82*k + 4. Let j be n(-5). What is the units digit of (-2)\/((-3)\/(j\/3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2795.7 + 447.7. Let k = -2347.98959 - g. Round k to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 6*m**2 - 3*m - 6. Let c be u(5). What is the closest to -1\/9 in -4, -0.28, c?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + -1ec?\nAnswer: -1de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 (base 8) in base 14?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 29948.\nAnswer: 29948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04599 rounded to four decimal places?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7049 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 5067.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -318 (c) 0.1 (d) 4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 + 43*l + 99. Calculate the least common multiple of 7 and r(-12).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16359, -16358, -16357, -16356, -16355, -16354?\nAnswer: -16353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-571 + (-2 - 0)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104390789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(121) + sqrt(121) + sqrt(121) + -1*sqrt(121) - sqrt(121)))\/(sqrt(33)\/sqrt(3)*-1))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6*m**3 - 13*m**2 + 2*m + 17. Let f(w) = 3*w**3 + 6*w**2 - w - 8. Calculate -13*f(v) - 6*o(v).\nAnswer: -3*v**3 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78*h + 7*h - 68*h)*(3*h**2 - 3*h**2 - 2*h**2) + 2*h**3 + 4*h - 4*h.\nAnswer: 280*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3292*((-150)\/(-40))\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*m - 12*m + 10*m**2 - 3*m - m**3 - 17*m**2 + 107 + 92 as o*m**2 + r + g*m + a*m**3 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38631640?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (158\/344124*-121)\/(7*(-1)\/(-4))?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = w - 3*w + 2, 8 = -4*b. Let h be (-6)\/w*19\/(-114). Is h <= -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13347 and 13345 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 389 = 149. What is the smallest common multiple of (2700\/(-210))\/(3\/(-14)) and c?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (32\/(-80))\/((-2)\/(-10)). Sort 2, -8, h in descending order.\nAnswer: 2, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*w = -6393, 8*w + 4262 = 2*t + 3*w. Is 48 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 22, -0.08?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = -j + 192, -m + 8549 = 3*j. What are the prime factors of m?\nAnswer: 2, 17, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1289, -1071, -705, -191, 471?\nAnswer: 1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h + 1. Let d = -9 + 11. What is the units digit of m(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 + 0 = 0, 2*v = 2*w + 6. Let o be (9\/36)\/(77\/(-35) + 2). Which is the third biggest value? (a) w (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g*i**3 - 15*g*i + 78*i**3 - 9*i**2 wrt i.\nAnswer: -6*g + 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694842 is divided by 9912.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 10*g + 7. Is w(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6783.\nAnswer: 3, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 239162469 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8*(28\/((-1400)\/(-30)))\/(396\/30)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -39c800c + 4?\nAnswer: -39c8008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 9, n: 11}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 8:29 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -390 - -1111. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 1537 + 783. List the prime factors of f.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45\/3*((-2130)\/12)\/(5\/(-30)).\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.256664 - -1315.015664. Let m = -341 - 973. Let l = m + r. Round l to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) -9 (b) 1\/2 (c) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12 + -3 + 6\/2. Suppose -3*k - u = 0, -1 = y - k - 7. Let s(z) = 3*z - y*z + 3*z. Let t(i) = i**2. Determine s(t(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3322255 - -3?\nAnswer: -3322252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1479 * 8421.\nAnswer: 1245.4659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 6:53 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t**3 + 174*t**2 - 29*t + 238. Give k(-35).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u**2 + 5*u**2 - u**2)*(-1385 - 27*u + 1385) to d*u**3 + p*u + i + m*u**2 and give d.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19569 by 3.\nAnswer: 6523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 - 2. Let b be d(-2). Suppose 2*x + b*x = 64. Let o = 39 - 38. Calculate the greatest common divisor of x and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -k - 20. Suppose 2*g + g - 7 = -h, k*h - 16 = 4*g. Find the first derivative of 3*q**2 + 31 - 3*q**2 + h*q**4 - 35 wrt q.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7841.52 months to centuries.\nAnswer: 6.5346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m. Let r(k) = -10*k + 114. Calculate -12*p(n) - r(n).\nAnswer: -2*n - 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + s + 9. Suppose s*t + 4*z = 38, 5*t - 2*z - 35 = -3*z. Let d be (3 + -1)\/6*0. Solve -2*n + t = d, -2*v + 5*n - 10 = 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 4. Suppose 24*s - 33 - 15 = 0. Suppose 3*i - 4*f - 15 = x, s*i + 2*i + 5*f = 51. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j. Suppose 34 = 5*p - 2*g, -5*p + 10*p - 3*g - 31 = 0. Determine u(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*h**5 + 13*h**5 - 25*h**5)*(-139 - 4 - 150 + (-3 + 5 - 4)*(6 - 4 - 3)).\nAnswer: 9312*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 782944819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, o: 9, q: 2, x: 3}. Give prob of picking 2 q and 1 w.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3252*l**3 - 3265*l**3 + 9779*l**3 - 3265*l**3 - 3*l**2 + 3*l**2.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 385101?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -i - 44, -i - 2*i - 132 = 4*w. Let k be -31 + 8 - 84\/4. Is i less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 345 and 1840?\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**2\/2 - 4*z - 1. Suppose 11*d - 90 = 6*d. Suppose -3*r = -0*r - d. Give b(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/80 + (-316)\/60*6.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-10))\/(288\/240)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 43400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) -7 (c) -0.4 (d) 0.2 (e) 102\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 6*t - 3. Let j be m(2). Suppose -5*y - j = 4*w, -3*y - 12 = w - 0*w. Solve q + 0*o - 5*o = -27, -5*o + 19 = w*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c**2 + 39*c**3 - 12*c**2 - 42*c**3 = 0. What is c?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + -1 - (-22)\/4. Which is the third biggest value? (a) 1\/5 (b) -2\/5 (c) g (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 7.2. Let z = -214\/85 + 601\/340. Which is smaller: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 705 and 50.\nAnswer: 7050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2031244 is divided by 2581?\nAnswer: 2578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 13*f**2 + 13*f + 16. Let m be s(-14). Suppose -m = -4*o - 2*g, 2*g = 4*o - 2*g - 48. Calculate the remainder when 24 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2475, -2495, -2543, -2631, -2771, -2975, -3255?\n\"Answer: -2*h**3 - 2*h**2 - 2471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1376 times 17436\nAnswer: 23991936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*1\/(-371)*((-13104)\/(-108))\/52?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 7*z - 4. Let v be 3\/(6\/16)*-1. Let i be w(v). Let u be (-4)\/2*(-10)\/4. Solve -a + i*g = -7 - 11, -u*g = 3*a + 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - s - 1. Let x(f) = f**2 - 4*f. Calculate -4*p(t) + x(t).\nAnswer: 5*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3157 - 1122. What are the prime factors of d?\nAnswer: 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -11*(6\/(-10))\/(11\/(-55)). Is 10\/(-55) + (-37989)\/s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4121018 smaller than -4121046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)*3 - sqrt(14))*2)\/(sqrt(2)*1*1).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**4\/12 - u**3\/6 - 12*u**2. Determine i(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (9 - (2 + (13 - (-10 - -9))))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -2 (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36560490377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.083626461 rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*c = -13, -5*u + 2*c + 48 = 9. Suppose 0 = -t + 1, -3*t - 10 = -4*k + u. Solve -3*m = -7*m - 3*a - 17, -5*a = -k*m - 30 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l. Let j(b) = 8*b + 1. Let x(u) = 2*h(u) + j(u). Calculate the remainder when 18 is divided by x(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j + j - 11 - 2*j - 2*j in the form h*j + g and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s**2 - 50*s + 125. Let m(c) = -36*c**2 + 250*c - 625. Let w(f) = 11*a(f) + 2*m(f). Determine i so that w(i) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3)*v**(-6\/11)\/v*(v**(-2)\/v)\/(v\/v**(-4)))**11 assuming v is positive.\nAnswer: v**(-326\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from voeve.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1288 and 165088?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 125 - (50 + 12 - -49)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42452394 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 0)*-1*(-853423)\/342. Let i be 45050\/6 + 4\/6. Let j = i + l. What is the common denominator of j and 73\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (30068\/(-10))\/((-20)\/100). Suppose -4*s - 3751 = -f - 0*s, 4*f - c = s. Let u = f + -1108. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 73*u + 628. Let a be x(17). What is the highest common factor of a and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 16 = 3*q + 3*z, 2*z = 8. Let o(r) = 184*r - 3. What are the prime factors of o(q)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -3 + 1 - (1 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4*f = 5*i + 1, -20 = 5*f. Suppose -v = i - 77. Calculate the remainder when v is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(195)*1)\/sqrt(5))\/(sqrt(9)\/sqrt(3)*-5) - ((0 + ((1 + sqrt(13))**2 + sqrt(13))*5)*6 + 2).\nAnswer: -422 - 91*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -616 (base 11) to base 15.\nAnswer: -348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 8:09 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s - 9 - 4 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-3*v + 2*v + 9*v)*(-2*v - 3 + 3).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.04 + -3.04. Let v be 7\/21*(-15)\/20. Put -145, v, r, 1\/2 in descending order.\nAnswer: 1\/2, v, r, -145","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -123*z - 1487 - 99*z + 1487 + (1 - 4 + 2)*(2*z + 0*z + 0*z).\nAnswer: -224*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47091818?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*l**(-5))))\/((l**(-5)\/l)\/l))\/(l**1)**(-23) assuming l is positive.\nAnswer: l**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-84)*((-2988)\/(-90) - 28))\/((-1)\/(-5)).\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20876403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2595 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1645090535?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + -4. Let o(g) be the first derivative of -g**3\/3 - 4*g**2 - 2*g + 10. Let k be o(f). Solve 7*n = k*m + 4*n + 14, 14 = -m - 5*n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65680.\nAnswer: 2, 5, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**4 + 4563*p**3 - 4566*p**2 = 0. Calculate p.\nAnswer: -1522, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6136271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 19)*(-6 + 3 + 10)*(1 + z - 1).\nAnswer: 119*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25509860963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 2*u + 19 = -4*u, -w = 5*u + 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6636 - 3264. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x + 4*x - 7*x + 45 - 12*x.\nAnswer: -18*x + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -80 - 17?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 2400.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -23640\nAnswer: 1182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134 - 98. What is the remainder when 322 is divided by r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54 - 147 + 47 - 446*g**3 + 47 to the form p + o*g**2 + l*g + t*g**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 3*q - 24, q - 8 = -28*x + 32*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 5 = 7*x. Put 2, x, -1\/3 in decreasing order.\nAnswer: 2, -1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f*y**6 - 4*f*y + 24*y**6 + y**3 + 9*y**2 wrt y?\nAnswer: -360*f*y**3 + 2880*y**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 56. Does 12 divide 2\/d - (-33999)\/210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7159.475 seconds in milliseconds?\nAnswer: 7159475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -154*c + 10034. Calculate z(65).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*b - 18 = 0, u + 2*b = -u + 6. Suppose u*y = 732 + 152. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/18 - (-118295)\/30 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 3*r**5\/20 - r**4\/6 + r**3\/2 + 2*r. Let w be c(3). What is the highest common divisor of w and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82762 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 + 1 - 1 - v + 5*v**3. Suppose 56*k + p - 3 = 58*k, -p = 4*k + 9. Determine i(k).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-5 - 0\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3.2. Suppose -i = -5*i - 8. Which is the second biggest value? (a) s (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4668.36 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 6111340927773.\nAnswer: 6111340927772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/3 + 2)\/(2\/(-9)). What is the third smallest value in v, -2\/7, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 7*w + 50 = 0, w - 2230 = 18*o - 2279 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a = -66. Suppose 0*b = -2*b + a. Suppose -m + b = m - 3*t, -4*m = 2*t - 14. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5)\/(-3 + (-2)\/(-1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.00944 - -0.09944. Let q = 0.1 + -0.04. Let v = q + s. Sort 2\/15, -1\/9, v.\nAnswer: -1\/9, 2\/15, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -277, -565, -879, -1231, -1633, -2097?\n\"Answer: -2*c**3 - c**2 - 271*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1380\/45 - 4\/3. Let l = t + -29. What is the second smallest value in l, -1\/8, 1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 9. Suppose 4*z = h*l - 34, -3*l = -z - 0*z - 22. Suppose 0 = 4*x - 6*x + l. What is the remainder when x is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15954829 is divided by 135.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 188722438 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by -65?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1131 and 1647?\nAnswer: 620919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 14 = 1183*h - 1185*h, 2*h + 13*y + 26 - 208 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/143, 0.3, 0.\nAnswer: 0, 1\/143, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/126 - (-16)\/6. Which is the nearest to -2? (a) 0.1 (b) u (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9, 13, 59, 141, 271, 461?\n\"Answer: 2*q**3 + 8*q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 19*v**2\/4 - 2469*v\/2 = 0?\nAnswer: 0, 4938\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879956 is divided by 78?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 16514.27 to the nearest 100.\nAnswer: 16500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252*c + 59 = 256*c + 3*d, -d + 25 = 2*c. Solve -89 + 145 = -c*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pyy when three letters picked without replacement from ppiyyypyyipiipiyypp?\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1732\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/4 and -137\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven eighths of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -147, 0, 694?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -461615 by -7.\nAnswer: 65945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 62102\/6 + (-3 - 24\/(-9)). Suppose -2*f + 2*m = -3256, 5*f - y = -5*m - 2180. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 5 = -5750*v + 5747*v, -3*f - 2*v + 12 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -14. Let q(n) = n**2 + 3*n + 5 + n**2 - 3 - n**3. Calculate the remainder when 3 is divided by q(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*q - 92 = 4*o, 5*o + 3*q = -345. Let r = -42 - o. What is the remainder when 89 is divided by r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83949.01ng to grams.\nAnswer: 0.00008394901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/3)\/((-2)\/(-6)). Let y(h) = h**3 + 2*h**2 + 2*h - 5. Let l be y(k). Suppose 101 = 15*r - 64. What is the greatest common divisor of r and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14\/11, -2, -1, 0.1 in descending order.\nAnswer: 14\/11, 0.1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5426445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -32*i**2 - 929*i - 35. Calculate y(-29).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6085615 divided by -5\nAnswer: 1217123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -24*p**3 + 2*p**2 - 14*p - 15. Give z(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7762 (base 14) to base 6\nAnswer: 235402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32826*l**4*w**3 - 3*l**4*w - 2*l**2*w**3 + 6*l**2*w**2 - 2*l**2*w + w**3 + 3702*w**2 wrt l.\nAnswer: -787824*l*w**3 - 72*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -f**6\/45 - 7*f**5\/120 - f**3\/3 + 8. Let o(s) be the third derivative of m(s). Find the second derivative of o(q) wrt q.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*r - 236, s - 2*r - 59 = 2*s. Let t = 62 + s. Which is the third biggest value? (a) 0.3 (b) 31 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) -36\/5 (b) 10 (c) 0.1 (d) 2 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 less than or equal to -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1304.68776 rounded to the nearest 10?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 12, 5756, -5 in decreasing order.\nAnswer: 5756, 12, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*1 + sqrt(12) + sqrt(24)\/sqrt(2)*-5)\/(sqrt(100)*1 - (sqrt(4) - sqrt(48)\/sqrt(108))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w + 85 = 3*s, 3*s - 110 = w. Is s at most as big as 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2904 and 847?\nAnswer: 20328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9700\/(-5))\/4 - 2. Let c = 1440 + j. Suppose 14*a + 363 = -c. Is a equal to 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.15 + -0.05. Let k = -0.1 - 0. Let d = z + k. Is d at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10066 = -425*b - 5659 for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 13427 + -6958. What is the thousands digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1505?\nAnswer: 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-198))\/((30\/63)\/5).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 25 = -0*t - 2*d, 4*t = d + 86. What is the smallest common multiple of t and 57?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - (-4 + (-2 - -2)) - 4. Suppose -b*n - f = -14 + 3, 3*n - 29 = 5*f. Solve -n = 20*w - 19*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 70 - 2253?\nAnswer: -21a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11552*t**2\/13 - 680656*t\/13 - 10026242\/13.\nAnswer: -2*(76*t + 2239)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 468515 - -115981001.\nAnswer: 116449516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17557 (base 9) to base 5\nAnswer: 341441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**3 + 90*c**2 - 1425*c + 42341. Determine r(-62).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 865?\nAnswer: -865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18680, -37368, -56056, -74744?\nAnswer: -93432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.54 to 1 decimal place.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 7*v)*(-2*v - v + 1 + 4*v)*(v + 2*v + 3*v).\nAnswer: -42*v**3 - 42*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t - 693. Let q(z) = -10*z - 2078. What is -8*a(k) + 3*q(k)?\nAnswer: 2*k - 690","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 0 + 0*k**2 - 1\/84*k**7 + 5\/24*k**4 + 3\/40*k**5 - 1\/60*k**6 - 6*k + 1\/6*k**3. Determine j, given that n(j) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*8\/9*(-27)\/(-36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13115083046 + -1\nAnswer: 13115083045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115 and 1165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**5\/60 + n**4\/4 - n**3\/6 - 5*n**2\/2 + n. Let s(h) be the first derivative of l(h). Give s(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0827 - -0.0827. Let d be (-3)\/(-12) - 26\/(-24). Which is the closest to 2? (a) i (b) d (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 4:28 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - z - 1 = 0, -t - 1 = t + z. Suppose -4*i = -3*a - 13 - 69, t = i + 5*a - 32. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -36*w**2 + 121*w - 214. Let b(y) = 24*y**2 - 81*y + 134. Determine -8*b(q) - 5*d(q).\nAnswer: -12*q**2 + 43*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s**2. Let o(z) = z**2 - 3*z + 1. Let q be o(3). Give j(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*g**3 - 66*g**3 - 33*g**3)*(3 + 0 - 2).\nAnswer: -135*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 16*c**2 + 24*c - 14. Let s be b(17). What is the highest common factor of s and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 4*i - 4*f, 1291*f + 1277*f - 12 = i + 2571*f for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3186501l?\nAnswer: 318.6501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3674682 divided by -402?\nAnswer: 9141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-45))\/((-4)\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 3*n + 9*n)*(-2*n + 0*n - 4 + 2)*(-1616 + 1612 + 101*n**2 - 18*n**2) to the form g*n**4 + r*n**3 + m*n**2 + l + q*n and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2508830.\nAnswer: 2, 5, 31, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 6*n**2 + 2*n + 5. Let b be t(6). Let z(m) = -b*m + 2 + 17*m + m. Calculate z(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.2593 times 0.5\nAnswer: -1.12965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 0*n = 5*u, -4*n = 3*u - 14 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in 0, -5, 4, -329?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*k**2 + (0 + 0 + 2*k)*(0*k - k + 0*k) - 140 - 20*k**2 + k + 140.\nAnswer: -24*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 - 49. Let w(t) = -2*t**3 + 3*t**2 + 5. Let k = -5 + -1. Let c(f) be the third derivative of -f**6\/60 + f**5\/15 + f**3 - f**2. Give k*w(n) + p*c(n).\nAnswer: 2*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.2 + 3.4. Let y be (104\/3094)\/(4\/14). Which is the nearest to h? (a) 0.4 (b) y (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31676455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, -7, -882, 0.06, 4\/9 in ascending order.\nAnswer: -882, -7, -5, 0.06, 4\/9, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61585\/14 - -4395. Calculate the common denominator of x and 95\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-100)\/45 - 3. Let x = -6 - -4. Which is the second biggest value? (a) x (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -197 + 200. Which is the second biggest value? (a) -3\/4 (b) h (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (762\/(-1))\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*f**2 - 11*f**4 + 35*f**2 - 17 - 31*f**4 + 64*f**4 - 2*f - 12*f**4 - 2*f**3 in the form d*f + v*f**3 + g*f**4 + t*f**2 + c and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 + 227*g - 16656. Calculate c(-164).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 41245, 81683, 122121, 162559?\n\"Answer: 40438*i + 807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23647989 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 106.\nAnswer: 7\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*y + y. Suppose 2*b + 3*b = 2*n - 1, -b - n = -4. Let h(l) = 6 - y*l + 2 + b + 10*l. Give h(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 904975 or 904965?\nAnswer: 904965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - 2*t + 3*t)*(75*t**4 - 45*t**4 + 91*t**4 + (3*t - 3*t - 2*t**3)*(-2 + 2 - 2*t) + 2*t**4 + t**3 - t**3).\nAnswer: -381*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2. Let d be m(-1). Let z = -608\/6293 + 6\/217. Which is greater: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112)*6 + 3 + 1 + 5*(sqrt(63) + 3 + (-1 + sqrt(112) - sqrt(112))**2) + 4 + -2.\nAnswer: 26 + 39*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u - 5. Let h be (3*2)\/((-3)\/3). Let x be h\/(-5)*20\/(-8) + 9. Suppose z - 2 = -x. What is w(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 54294473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1325896)\/366)\/(-209)*3*(-18)\/(-8)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 81. Let v = q + 38. Let r = 2 - -7. Calculate the highest common factor of v and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95 + -99. Let z be -1 - 367*2\/7. Let s = z + 106. Which is the smallest value? (a) r (b) s (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvdxvuuk. What is prob of picking 1 t and 2 v?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z - 2. Let t be b(-1). Calculate the greatest common divisor of t and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 2896?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 395877 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 1:10 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 4169829\nAnswer: 16\/4169829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -115 divided by 1\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/5 + 8 + 0 + 57. Let m = x - 52. Solve 0*g = 3*g - m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3666163\/92 + 39849. Calculate the common denominator of j and -47\/2.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153812 divided by 4\nAnswer: -38453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/240 and -151\/66360.\nAnswer: 132720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 33. Suppose 180 = 4*q - 4*k, 32 = q + z*k - 25. What is the remainder when q is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 5.32.\nAnswer: 37.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1318 is divided by 275.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 9*w**2 + 3*w + 30. Let r(k) = -12*k**3 + k**2 + 4*k - 2. Let x be r(1). Let i be m(x). Solve 3*z = g - 6, 0 = -2*g + 3*z + 6 - i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - -20. Let l = -7 - -9. Let n = l + r. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + (sqrt(152) - (sqrt(152) + sqrt(152)*1*5)) + sqrt(152))\/(sqrt(8) - 3*sqrt(392)) - (4 + 3*(sqrt(475)*2 + 0)))**2.\nAnswer: 1194*sqrt(19)\/5 + 6778171\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.928 - 0.928. Let f = -6.5 - -6. Which is the biggest value? (a) 4 (b) f (c) 0 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -3. Let r(k) = 30*k + 3. Let x be r(2). Let s be 36\/x*(-1 - 1 - -1). Which is bigger: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + -4 + (-2 + -1*sqrt(72))*-5)**2.\nAnswer: 3600*sqrt(2) + 11400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**5 + 201*x**4 + 312*x**3 - 16176*x**2 + 46080*x = 0.\nAnswer: -64, -12, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 + -41. Suppose -45 = 3*t + 6*t. Let u = r - t. What is the smallest common multiple of 10 and u?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4109*u = 2401*u - 194103 + 604233 for u.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3860)\/40*(1 + -9). Let c = u + -220. What are the prime factors of c?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 36)*8\/(-6). Suppose -4*j + 2*o + 44 = 0, 0 = 2*j + 2*j - 4*o - l. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*j + 16*j + 98*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + -5 + 5 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/4*-4*(-2)\/(-12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11631 to 3 dps.\nAnswer: 0.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u. Let x be m(5). Let p(f) = -11*f**2 + 10*f**2 + 3*f + 1 + 6. Calculate p(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h = -48. Suppose 3*b = -0 - h. List the prime factors of (-2322)\/(-72) + 1\/b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2 - 3792*c - 30464 = 0. What is c?\nAnswer: -8, 1904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -4478 bigger than -4493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 218826 >= 218828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*n - 44 = 0, -2 = -2*n + n. Let w(y) = 5*y + 21. Let f be w(t). Suppose 4*z - f = 152. List the prime factors of z.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j - 5*j - 28 + 7*j + 27. Let s(z) = -6*z + 1. Let w(g) = 3*d(g) + s(g). Let y(u) = -8*u. What is w(y(t))?\nAnswer: 72*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f = 1146. Suppose -f = r - 4*r. Suppose -r = -5*i - 16. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -o + 3, -3*o + 12 = 5*l. Suppose 23 = l*y - 1. Solve -j + 4 = -3*u, -y + 36 = -5*j - u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94 - 94.1. Let o = 145.3 + -147.3. Put r, o, 4, -1 in descending order.\nAnswer: 4, r, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 + 0*g**4 + 2*g**4 - 1 - g**3 - 245*g + 243*g - 4*g**3 - 2*g**2 as r + f*g**2 + a*g**3 + b*g**4 + x*g and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from {q: 5, z: 1, d: 2, e: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 1 - 5 = 2*a, 5*u = -4*a + 10. Suppose 5*l + 4*f - 576 = a, 215 = 3*l + 5*f - 128. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3429 - 3429. Let 0*s**3 + 2\/7 - 4\/7*s**2 + g*s + 2\/7*s**4 = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4 + 604*v**3 + 135454*v**2 + 13363500*v + 489515625 = 0. What is v?\nAnswer: -177, -125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 4*j + 20, 3*i + 5*j + 3 - 8 = 0. Suppose -t + 2 = c - 3, -3*c = t + 5. Solve -4*b - i = t for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*w - w**2 + 4*w**2 + 2 - 3*w**3 - w**4 to the form l*w + p*w**2 + t*w**4 + r*w**3 + z and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 2\/5, 4, -0.16, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 8*p + 14. Determine u(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from osuvkxkkkxxxxuvk. What is prob of sequence xxxv?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m + 26*m + r - 1798 = 0, 4*r + 1788 = m. What are the prime factors of m?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/10 and 58\/1191.\nAnswer: 11910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 688 + -485. What is the greatest common factor of 28 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (16 - 7) - -3 - (-28 - -19) - -95.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(220\/75)*(-6)\/(-9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 + -3. Round p to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 5 - 5)*(-69 + 39 + 65)*(2*r - 2*r - 3*r + (-5 + 2 + 0)*(4*r - 2*r - 4*r)).\nAnswer: -420*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15572983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588 at least 1588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -15*f**2. Let w(c) = 3*c**2 + 18*c + 9. Let d(y) = -y**2 - 4*y - 2. Let r(g) = -9*d(g) - 2*w(g). What is r(s(l))?\nAnswer: 675*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22436127*g**3 + 3882937*g**2 - 7?\nAnswer: 134616762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13103699 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 616.7555*-11\nAnswer: -6784.3105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205035 is divided by 7782?\nAnswer: 2703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4294 is divided by 449?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*m**3 - 92*m**3 - 100*m**3 + 352*m**3 - 89*m**3.\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (811 - 360 - 802)*(3 + 0 - 2)*(-m + 3 - 3) in the form n + v*m and give v.\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1086 - -1088. Solve 4*t - 22 = -i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*((((u**(-4\/7)\/u*u)\/u)\/u)\/u)\/u)**35 assuming u is positive.\nAnswer: u**(-125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 11*m**2 - 1006*m + 5149. Determine s(86).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4552443.96 to the nearest one thousand.\nAnswer: 4552000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + x + 15*c - 2*c = -179, x - 10*c - 112 = -c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 626528746 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 9:04 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (-46)\/(2 - 1). Let y be 2*6\/(i\/20). Let m = y - 0. Calculate the remainder when 24 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*4\/(1 + -13). What is the smallest value in 0, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 - 104 = -3*j. Suppose 4*r + j - 324 = 0. Suppose 2*m - r = m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d - 12. Solve 0 = d*j + 2*j - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35, -30, -25, -20, -15, -10?\n\"Answer: 5*b - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**5\/20 - k**4\/12 + k**3\/6 - k**2 - 58*k. Calculate q(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -43690*m - 20532 wrt m?\nAnswer: -43690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 369290884 to the power of 1\/2, to the nearest integer?\nAnswer: 19217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 518 - 515. Put -33, t, -1, -3 in increasing order.\nAnswer: -33, -3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2104688?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2019036 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6}. What is prob of picking 4 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 76662.15ml?\nAnswer: 76.66215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -516 + 6*f - 195 - 190 - 276.\nAnswer: 6*f - 1177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubbu when four letters picked without replacement from {b: 4, u: 6}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 976\/366*35\/(307440\/27).\nAnswer: 1\/122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 713 and 837.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(-4 + 1) - (-4 - -9). Let p(m) = 6*m**2 - m - 56. List the prime factors of p(f).\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -15. Let d = -1.8 + -2.2. Sort 5, t, d in decreasing order.\nAnswer: 5, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20057 divided by 1?\nAnswer: 20057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13621 + -13551. What is the highest common factor of r and 4660?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -14*x + 2*b + 292026, -2*b = 4*x - 292046. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*d - 16, 6*d = 8*d - 2. Let g(k) = -348*k + 13. Let x(o) = -697*o + 28. Let q(b) = p*g(b) - 6*x(b). Is q(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*k + 11 - 11)*(0 + 1 - 4 + (0 + 5 - 3)*(-1 + 1 + 1) + 1 + 10 + 34).\nAnswer: 352*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206966*s - n = 206963*s - 40, -66 = 5*s - n for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 3 + -8 + 4 + 24?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 8*x**2 + 12*x - 3. Suppose -29 = -3*c - 2. Let a be d(c). Solve 0 = 4*y + a - 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501729191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 433925?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 193, 5, 4 in descending order.\nAnswer: 193, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 7*f**2 - 11*f - 4. Let c be y(8). What is the units digit of 4 - (c + 5)*7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 24. Calculate the remainder when (9*12)\/2 + 21\/7 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 11*i**2. Suppose -4*y + 0 = -8. Let u(a) = -6*a + 5*a**y + 4*a**2 + 0*a**2 + 6*a. Give k(u(p)).\nAnswer: 891*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044368579 to the power of 1\/3, to the nearest integer?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 14*c + 8. Calculate z(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -22.2. Let y be (-1)\/(-4) + (-7)\/44. Put y, -3, b in ascending order.\nAnswer: -3, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -65, -5, -6.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*m + 4)*(1 + 3 - 3)*((4*m**2 - 5*m**2 - m**2)*(1 + 0 + 4) + m**2 + 3*m - 3*m).\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**3 + 17226455*b**2 + 5*b - 17226455 = 0 for b.\nAnswer: -1, 1, 3445291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*x = -51, -2*f - x - 23 = -f. Let a be 1 - (10\/30)\/((-1)\/(-39)). Let w = a - f. What is the smallest common multiple of w and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172 + -272939587.\nAnswer: -272939759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 755417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(((-6)\/2)\/(-6)). Suppose -4*r = -x - z, 2*x + 5*r - 46 = -2. Calculate the highest common factor of x and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87.99754 - -88. What is v rounded to four decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -78 + 11 - 155 - 13*l + 39 wrt l?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00047501159 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*o**3\/3 + 386*o**2\/3 - 124*o.\nAnswer: -2*o*(o - 1)*(7*o - 186)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/(-30))\/((-11)\/(-6)))\/((-1917)\/3195)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 74 = 22. Let z = -19 - t. Let p be (-2)\/z - (-1724995)\/15. What is p rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-45)\/(-35) - (-2)\/(-7). Solve 3*d - 5 = 3*t + b, -10 = d + 2*t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14500?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42486223?\nAnswer: 13, 19, 172009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -17, -0.3, 0.38, -4, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + x**3 - 3 + (x**2 - x**2 - 2*x**2)*(-2 - 2*x + 2) - 10*x**3 + 20*x**3 - 14*x**3 - 6*x in the form u*x**2 + z + v*x**3 + w*x and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -46699.\nAnswer: -46698.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4\/7 + 4*b**3 + 528*b**2\/7 - 1152*b\/7 = 0. What is b?\nAnswer: -12, 0, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -136 - 2?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341 = -5*s + 1466. What is the highest common factor of s and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055267823 to the power of 1\/2, to the nearest integer?\nAnswer: 32485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 507, 960, 1429, 1920, 2439?\nAnswer: 2992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + 19 - 31) + 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l**3 - 5*l**3 - 3*l**2 - 5*l**3 + (3 + 5 + 1)*(3*l**3 - 4*l**3 + 4*l**3) as o*l + b*l**2 + y*l**3 + w and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6879961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + 2*d - 2*d)*(-2*d + d + 2*d) + 414*d**4 - 207*d**4 - 200*d**4.\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -291773 - -291650.0022. Let d = a + 123. Let w = d + 0. Round w to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23784150*m**2*s - 2294812*m*s + 13*m wrt m.\nAnswer: 47568300*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y + 4. Let d(o) = -3*o - 10. Let r be d(-3). Let f be v(r). Put -2, 10, f in descending order.\nAnswer: 10, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -182*h**2*s**2 - 11*h**2*s + h*s**2 + 67*h*s + 246*s**2 - 56*s wrt s?\nAnswer: -364*h**2 + 2*h + 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 70869, 70756, 70643, 70530?\n\"Answer: -113*j + 70982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5\/7 - 181\/28. Let q = 8851\/4 - 2231. What is the common denominator of d and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 469641503?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 0 + sqrt(1088))*2 + (((sqrt(1088) + 1 - sqrt(1088))*4)**2 - sqrt(1088)) + 5.\nAnswer: 21 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 1081 = 187. Let a = 460 + k. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + (1 - 0 - -1). Suppose a*l = -10*l + 7599. Does 39 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 16*d - 2. What is the tens digit of n(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 13399?\nAnswer: 13399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 5*l**2 - 2*l + 4. Let c(j) = -j**2 - 4*j + 5. Let z be c(-5). Let r(h) = h + h - h + 5. Let d be r(z). Give k(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1367, 5, 4, 3933 in increasing order.\nAnswer: -1367, -3, 4, 5, 3933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 15. Suppose q + 3*h - 5*h - 5 = 0, 5*q - 3*h = 32. Let m = c - q. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.42 - 32.42. Let x = -29.6 - l. Let a = 2.400012 - x. Round a to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 18 = -k. Suppose -5*f - 91 = -2*j, 2*f = -10 + 4. What is the units digit of 4\/k + j\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/928 and 13\/1160.\nAnswer: 4640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 300.2 != -5577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 432580122 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, j: 2, b: 2, q: 1, z: 2}. What is prob of picking 2 b and 2 z?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/42 and -73\/2094.\nAnswer: 14658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/5, -2, 330, -63?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 - 5*j - 20. Let s be o(5). Suppose -8 = -s*y - 13. Which is greater: 2\/143 or y?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1511023?\nAnswer: 373, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 8 = -6*x. Let d be 2*(0 - 7\/x). Solve 4*z = 3*i, -z + i - 2*i = -d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 6 - 11 + 4*w + (-2 - 3 + 1)*(w - 4*w + 7*w) as z + o*w and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 14. Suppose 0*b - c = -b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivp when three letters picked without replacement from {i: 6, v: 1, p: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 33*g. Let a be u(2). Suppose a = 4*i + 2*i. What is the remainder when 42 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -413 and -305?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/4 + -3)*4. What is the third derivative of -5*c + 5*c + 2*c**5 - 2*c**z - 3*c**5 wrt c?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -12 - d**3 - 33*d**2 + 33*d**2. Let h(w) be the first derivative of w**2 - 3. Calculate h(k(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*k - 46818, -54*k + 23412 = -53*k + v. What are the prime factors of k?\nAnswer: 41, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170254\/11 <= 15477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -17. Suppose -z*x + 14*x + 2 = 0. Suppose r = r + x*r. Solve -16 = -4*h - 5*q, -h + r*h - 2*q = -7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, w: 8, z: 3, q: 3}. Give prob of sequence zuq.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + m**2 + m - 6. Let x = 0 - 1. Let y = x - 2. Let o = -3 - y. Give b(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -29. Let k be (-3)\/(-10)*(-1)\/(-3). Sort -5, k, d in decreasing order.\nAnswer: d, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccle when four letters picked without replacement from ceeceecclec.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 350\/(-15)*(1 - 308\/140)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - w**3 + 7130*w**4 + 3 - 7*w**2 - 7119*w**4 as m*w**2 + o*w + z*w**3 + s + a*w**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92 + 91.8. Sort 2, -2\/37, 1, t.\nAnswer: t, -2\/37, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3424769 or -3424765?\nAnswer: -3424765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y + 3*y**2 + 4*y**2 - 6*y**2)*(-4*y**2 + 2*y**2 - 2*y**2).\nAnswer: -4*y**4 - 24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9221, -36856, -82909, -147380, -230269?\nAnswer: -331576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2277079899?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 8*l + 4*l = 0. Sort -5, 1, l, -3.\nAnswer: -5, -3, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -2, -5, 5, 2053 in decreasing order.\nAnswer: 2053, 5, 2, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -356*g**2 - 45118016\/3 + 1\/3*g**3 + 126736*g.\nAnswer: (g - 356)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2517 - -2522. Solve -x - 3*s + 7 = s, -d*s + 30 = -3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40329 = 3*v + 39528. Calculate the highest common divisor of 87 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2*q + 3089*c*q + 2231*c + 1122394*q - 3 wrt c.\nAnswer: 2*c*q + 3089*q + 2231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d + 4. Let w(m) = 5 - m - 2 - 2*m. Let r be 78\/4*6*-1. Let i = -119 - r. Give i*u(b) + 3*w(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 2*l**2 - 1. Let m(o) be the second derivative of o**3\/3 - 2*o. What is m(d(h))?\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13351\/63 + -3075\/14. Find the common denominator of u and 2\/(-16)*(-166)\/(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1348024 by -41.\nAnswer: -1348024\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 86506 = i, -512448 = 5*i - 4*b - 79956. Round i to the nearest one thousand.\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8261*l**2 + 8257*l**2 + 8257*l**2 - 33462*l**2 + 8686*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*b + f + 976, -f + 1484 = 3*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/790 and 18 + ((-448239)\/(-550))\/(-47).\nAnswer: 3950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 157.3 + -135. Let t = -5709 + 5731. Let o = t - y. What is the second smallest value in -1\/2, o, 6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11\/(-66))\/(3274\/(-3)). Let o = 107225\/9822 - y. Calculate the common denominator of -1 - 94*(-2)\/(-80) and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-3))\/((-21)\/(-1134)). Let f(l) = 7*l**2 + 22 + 10*l**2 - x*l**2 + 8*l. Let u be f(10). Which is the nearest to -0.2? (a) -2 (b) 0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139667, -139980, -140293?\nAnswer: -140606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -353109, -353108, -353107?\nAnswer: -353106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**2 - 5*t + 11. Let q(o) = o**2 + 1. What is -j(a) + 3*q(a)?\nAnswer: -a**2 + 5*a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1300030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.7 - -10.7. Which is the fourth biggest value? (a) 10 (b) -0.3 (c) -2\/9 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -68*k**2 + 68*k**2 - 85*k**3 + (0 - 3 + 1)*(-113 - 38*k + 113)*(-2*k**2 - 3*k**2 + 3*k**2).\nAnswer: -237*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -220*r**3 - 10*r**2 - r - 5. Let b(x) = 109*x**3 + 4*x**2 + 2. Determine 2*a(w) + 5*b(w).\nAnswer: 105*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285741576.\nAnswer: 2, 3, 17, 47, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/54278 and -49\/7149188.\nAnswer: 50044316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(1 - (-1 + 3)). Let w be -1 - (0 - h) - 33. Let g = 12 - w. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -2\/91740001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)*g)\/g**(-2)*g*g**(2\/5)*g*g**(-6)*(g\/(g\/g**(-3)))\/(g*g\/((g**(3\/7)*g)\/g))*g**3\/(g*g**(1\/5)*g*g) assuming g is positive.\nAnswer: g**(-363\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 12. Suppose -4*b + 67 = -c - 92, -y*b + 190 = -3*c. Suppose -3*g - b = -6*j + 2*j, 0 = -j - 2*g + 2. Solve 0*r + 2*r = j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 178152?\nAnswer: -178157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 2*p + 10. Calculate t(7).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3522378 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 414 divide 1693501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (-27)\/(-432)*(-1 + 17). Which is the fourth biggest value? (a) 2 (b) -0.1 (c) 0.3 (d) -2 (e) i\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 1\/6 (c) -2\/3 (d) -0.5102 (e) 5 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -223, 1, 0 in ascending order.\nAnswer: -223, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - (3 + -1 + -3)) + (604 - 613)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -132827707.9 and 0.09.\nAnswer: -132827707.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l + 60 = -60*l. Which is the nearest to 2\/5? (a) -0.5 (b) -0.4 (c) -7 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21931, -44437, -66943, -89449, -111955, -134461?\nAnswer: -156967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 362215, 724464, 1086703, 1448926, 1811127, 2173300, 2535439?\n\"Answer: -l**3 + l**2 + 362253*l - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**4\/3 - 6*t**3 - 20*t**2 + 4*t + 1. Factor r(d).\nAnswer: 4*(d - 10)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*s + 1030 + 440 = 0 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -1335, 3, 4, 17, -4, -71?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 - 1) + -4)\/(12\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/210 and -38\/63?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 128. List the prime factors of a.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**3*k**4*(k**1)**(-10\/9)*(k*k\/((k\/(k*k**(-2)*k)*k)\/k)*k**(-5\/6))**(-21) assuming k is positive.\nAnswer: k**(43\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38 in 4, -1\/8, -1, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 + 107*n**2 - 103*n + 1618. Give u(53).\nAnswer: -1032","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4 - (-365)\/60)*(-200)\/180 and 73\/1944?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 4. Let z = 5090 - 5088.09. Let s = x - z. Round s to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + -1 + -5 + (2 + (sqrt(252) + 3*sqrt(252) - sqrt(252) - sqrt(252)) + sqrt(252))**2 - ((-1*sqrt(252)*2 - (0 + sqrt(252) + -3)**2) + -4).\nAnswer: 54*sqrt(7) + 2531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.3 + -6.3. Suppose -15 + 51 = 4*j. Let t be (-4)\/(-14) + j\/(-56). Which is the nearest to -2\/5? (a) u (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 968.01 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7086818277 to the nearest integer?\nAnswer: 1921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 9*a - 169. Let n be o(19). Differentiate 4943*y**n - 2365*y**2 + 7 + 2*y**3 - 2413*y**2 wrt y.\nAnswer: 6*y**2 + 330*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15031779 divided by 6\nAnswer: -5010593\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29083.\nAnswer: 127, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*q**4 + 133727*q**3 - 15*q**2 + 1163*q + 3?\nAnswer: -72*q + 802362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2454135013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/24 and -73\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - z = 130, 2*p - p + 34 = -z. Let k = p - -56. Suppose -5*y - k = -2*x - 61, 4*x + 11 = y. Solve 3*t + 8 = y*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7790798 to the power of 1\/3, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 equal to 673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6) + 5320\/(-798)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -12*v**2 - 2. Let l(n) = -120*n**2 - 21. Let z(o) = 6*l(o) - 63*t(o). Let s(r) = -6*r. Determine z(s(u)).\nAnswer: 1296*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/15*((-300)\/(-16))\/(-15).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3042, 6089, 9140, 12195, 15254, 18317, 21384?\nAnswer: 24455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -148?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 6. Let n = -17 + 16. Which is the closest to n? (a) 4\/3 (b) 1\/6 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from {s: 2, w: 13, f: 2, n: 3}.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyuuyiiiiyiii. Give prob of sequence uiuy.\nAnswer: 7\/3120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -23, -10, -4, 2, 5 in decreasing order.\nAnswer: 25, 5, 2, -4, -10, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*a + 7*q - 658 = 3*q, 5*a + 31 = 5*q - 49 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 divided by 128?\nAnswer: 73\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 9*y**2 - 8*y + 2. Let t be a(8). Suppose 572 = -t*i + 6*i. Calculate the greatest common factor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0599 and 37.\nAnswer: 36.9401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*h + 8. Suppose -2*w + 18 = -2*a, 6*a - 31 = -5*w + 4*a. Calculate the least common multiple of h and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b + 3. Let v(j) = -j + 1. Let c = 25 - 21. What is c*r(q) - 14*v(q)?\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 323 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 19871101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1235*b**2 + 617*b**2 + 695*b**2)*(0*b**2 + 3*b**2 - 4*b**2).\nAnswer: -77*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 + -41. Suppose -15 = 5*z, 21 = -m - 5*z + 8. Suppose 5*o + 1 = -m*n, -3*o - 3*n - 4 - 2 = 0. Sort o, p, 4.\nAnswer: o, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*g**3 - 178*g**3 + 4 - 4*g - 171*g**3 + 4*g.\nAnswer: -415*g**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116 by -5790136.\nAnswer: -29\/1447534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 527 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/((-24)\/(-544)) + 6\/(-2). Let u = -279\/4 - n. Find the common denominator of u and -11\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 8*q**4\/25 + 42*q**3\/25 + 66*q**2\/25 + 38*q\/25 + 6\/25 = 0.\nAnswer: -3, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -4) + 72 + -106 + -10?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 12, -j + 4 = -3*x - 0. Let q = 58.4 - 58.4. Let w = 1 + -1.5. Which is the closest to 4? (a) q (b) w (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -35\/9 (b) 4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1452, -0.05, 2, -11, 3\/5, -0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -537352 and -537353 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 2:12 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 9. Let t be h(-15). Solve 3*l = -d + 15, 6*d + t = 3*l + 4*d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -10, 1\/7, 4\/29, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 1:13 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 89356.86 litres in millilitres?\nAnswer: 89356860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5018?\nAnswer: 2, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 w when three letters picked without replacement from cwwwwcww?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11785, -11782, -11777, -11770, -11761, -11750?\n\"Answer: z**2 - 11786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2160 at least as big as -2160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -50, -84, -124, -170, -222, -280?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 6:44 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131700244?\nAnswer: 2, 13, 2532697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -7, -39, -97, -187?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*i + r, -19*r + 16*r + 5 + 48 = 2*i + 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/13)*u*u*u\/u**(4\/9))**(-13)*(u\/u**1)**(-2)\/((u**1*u)\/u)**14 assuming u is positive.\nAnswer: u**(-407\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 224, 546, 1022, 1658, 2460, 3434?\nAnswer: 4586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*c + 1 - 188*c - 1.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -143*w**2 + 12 + 5*w**4 - 4 + 85*w**2 - 2*w**4 - 9 - 7*w as c*w**2 + h*w**3 + n + f*w + b*w**4 and give c.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**2 + 8*b + 6. Let n be d(10). Let z be (-20187)\/42 - (-2)\/(-4). Let k = n + z. Calculate the common denominator of -1\/10 and k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275, -2160, -7285, -17270, -33735?\nAnswer: -58300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 13 - (-51 - (-3 + -34))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5 - 192*p**4 - 3744*p**3 - 21504*p**2 - 37632*p = 0. Calculate p.\nAnswer: -28, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1548 is divided by 38?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - 10) + -12 + 40 + 24?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (14 + 0 - (-1 + 3)) + -2318 + 2296.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10334340 (base 5) to base 11\nAnswer: 61661","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4960583647?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -161*r**2 + 15*r + 20. Let z(m) = 376*m**2 - 35*m - 46. Calculate -23*v(a) - 10*z(a).\nAnswer: -57*a**2 + 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 50, 95, 158, 245?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w + 10*w**2 + 9 + 430\/3*w**3 + 415\/4*w**4. What is p in u(p) = 0?\nAnswer: -2\/3, -2\/83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 340 + 3755. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 11*m - 54. Let b = -145 - -235. Let w = b + 10. What is the remainder when w is divided by p(8)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113 - 37. Let t = 73.94 - f. Let v = 0.06 + t. Which is the closest to v? (a) -1 (b) -2\/13 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1636e (base 16) to base 11\nAnswer: 623a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/5 - 14*r**2 - 147*r\/5 + 216\/5.\nAnswer: (r - 72)*(r - 1)*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q - 2. Let u be g(24). Is 3694*1*(-25)\/u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -14. Solve -16 = n*l - 3*r + 3, 5*l + 2*r = -19 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1231435 + 738435. Round t to the nearest 10000.\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1026927 or -4107707\/4?\nAnswer: -4107707\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50193280.\nAnswer: 2, 5, 78427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 divided by 3?\nAnswer: -133\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -56*k**3 - 5*k**2 - 13*k. Let l(x) = 55*x**3 + 6*x**2 + 16*x. Calculate -4*l(s) - 5*q(s).\nAnswer: 60*s**3 + s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 49608*d - 473. Is l(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*m = -316*m + 126 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00364120238 rounded to six dps?\nAnswer: 0.003641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 538828\/64659 + -1\/21553. Find q such that 10\/3*q - h - 1\/3*q**2 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at most as big as 59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -57*f + 14. Let x(h) = -28*h + 6. What is 2*t(i) - 5*x(i)?\nAnswer: 26*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l**2 + 2. Let w(f) be the second derivative of f**4\/24 - 5*f**2\/2 + f. Let z(o) be the first derivative of w(o). Give z(n(v)).\nAnswer: -4*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2232195 is divided by 799?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -1000*d + 1564. What are the prime factors of a(-5)?\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q - 7*q**3 + 11 + 6*q**3 + 8 + 9 - 23. Let k be o(-2). Solve 2 = -3*p + z - k, -p = -z + 9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m. Let a be z(-1). Suppose 7555 = a*v - 3*d, 0 = -5*v + 6*d - 2*d + 7555. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7202)\/(-2) + -45 + 39 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 15*k - 16*k = -13, g + 3*k = -11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2958542 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h = -30*h - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 702705300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -148598?\nAnswer: -148601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - x**3 + x**4)*(-2*x - 3*x - 7*x) + 10*x**5 + x**2 - 9*x**5 + 2*x - 2*x**2.\nAnswer: -11*x**5 - x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = 2501 - 713. Let j = -1 - -6. Suppose 2*m = -3*c + 115, j*c - 42 - g = -3*m. What is the remainder when 71 is divided by c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3144 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/1823 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -42*g. Let i(r) be the third derivative of r**3\/6 - 11*r**2. Let t(j) = 2*j + 2. Let x(c) = -2*i(c) + t(c). Calculate u(x(k)).\nAnswer: -84*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 4:18 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 times -680?\nAnswer: -65960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1309148 - 404154. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, g: 7, f: 3}. Give prob of sequence ffg.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**5\/60 + a**4\/24 + 2*a**3\/3 - 22*a**2 + 1. What is z(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 24*h**2 + 5*h + 1. Let a(q) = 56*q**2 + 10*q + 1. Give 2*a(z) - 5*o(z).\nAnswer: -8*z**2 - 5*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25021, -49732, -74443?\n\"Answer: -24711*u - 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25765066?\nAnswer: 2, 12882533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 681159, 1362425, 2043691, 2724957, 3406223, 4087489?\n\"Answer: 681266*k - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -0.2341202.\nAnswer: -0.0658798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6893\/35 - -197. Let o = m + 29\/105. Which is the biggest value? (a) o (b) 1\/4 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21018 divided by -1?\nAnswer: 21018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136164342 is divided by 209?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-1)*(9\/48)\/3.\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjwgjjqqjnwjwgngnj. Give prob of sequence gw.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 491723595 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**8\/30240 + r**7\/2520 + r**6\/540 - r**5\/30 + 2*r**2. Let i(h) be the third derivative of s(h). Factor i(u).\nAnswer: 2*(u + 1)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -3*s**2 - 103*s + 794. Determine f(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147.755933 rounded to two dps?\nAnswer: 147.76","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is (115\/5198)\/((-395)\/(-158))?\nAnswer: 1\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -3.6. Let v = -0.8 - c. Let n be (-2)\/40 + (-3)\/(-12). What is the closest to -1 in v, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.98 - 5. Let z = k - -14.02. Let g = -1.12 - 0.88. Are g and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddk when three letters picked without replacement from dpkdppdpp.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**5\/20 - 47*a**4\/24 - 22*a**3 - 2*a**2 - 54. Differentiate o(s) wrt s.\nAnswer: -6*s - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*1*5*sqrt(76)*1)**2.\nAnswer: 47500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10830 and 100?\nAnswer: 108300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 35 + 14 = 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 1 (c) 0.1 (d) -3 (e) 2 (f) 615 (g) -1\/10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d**3 - 103*d**2 - 45*d - 4. What is g(21)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001111000100100111001 (base 2) to base 4.\nAnswer: 101320210321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-1)*((-42)\/7)\/(-6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22994.2 + -23011. Which is the second biggest value? (a) -1\/2 (b) p (c) -0.13 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -11*a**7\/126 + 23*a**6\/144 - a**5\/8 - 16*a**4\/3 + a**3\/6 + 60*a. Let x(f) be the third derivative of o(f). Factor x(i).\nAnswer: -5*(4*i - 1)*(11*i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 2*d**2 + 65*d - 65*d. Let r(l) = -5*l**2. Determine b(r(y)).\nAnswer: -75*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86271 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * 26.563353.\nAnswer: 371.886942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j + 989 = 241. Suppose 0 = 11*m - j - 0. Which is the third biggest value? (a) 0.3 (b) m (c) 0 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/990 and -83\/103860.\nAnswer: 1142460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 5*k - 18*k)*(1 - 9 + 15 + (-3 - 1 + 2)*(-6 + 1 + 2)).\nAnswer: -286*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 0*p**2 - 4 + 0 + 3*p - p**3. Let z be u(-3). Let n(i) = i + 1. Let j be n(1). Solve 3 = z*m - j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5022808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1358 + -266. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -78?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 42\/5, 0.5, 4, 2.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -256698, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3128.913 millilitres?\nAnswer: 3.128913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1089 - 1041. What is the highest common divisor of 128 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326214?\nAnswer: 2, 3, 7, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.057604 to 2 dps.\nAnswer: 4.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 73471*z**2 + 73412*z**2 - 146886*z**2. Let o(v) = -14*v**2. Let p(b) = 5*b**2. Let l(i) = 3*o(i) + 8*p(i). Give x(l(g)).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6 - 28\/(-6). Suppose 0 = -10*t + 11*t - 6. Suppose -3*j - t = -d*j - p, 14 = 4*j - p. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 15*j - 6. Let r(o) = 2*o**2 - 29*o + 13. Let c(y) = -3*r(y) - 5*w(y). Let m = 21 - 13. Calculate the remainder when c(8) is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 933036 and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 - 49*i**2 - 241*i - 83. List the prime factors of y(39).\nAnswer: 31, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2995\/7 + 11973\/28. What is the nearest to -2 in -3, -8, 0.5, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x. Let a(d) = 1234 - 1234 - 2*d**2. Give a(c(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -150, 4 in decreasing order.\nAnswer: 4, -5, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ab5 + 4?\nAnswer: 1ab9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**2 + 172*f + 87. Give y(35).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -15*p**3 + 23*p**2 - 23*p - 21. Let u(z) = 7*z**3 - 11*z**2 + 10*z + 10. Let o(s) = -6*q(s) - 13*u(s). Give o(7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6)\/((i**(-3\/4)\/i)\/i))**33*(i*i*i**0)\/(i*i*(i\/(i\/(i\/i**4*i)*i)*i)\/i*i)*(((i\/(i\/(i\/i**(2\/5))))\/i)\/i)\/(((i\/i**0)\/i)\/i*i) assuming i is positive.\nAnswer: i**(-2133\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24\/19 (b) -5 (c) 0.04 (d) 9\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - m + 16 = 0, -b - b + 10 = 4*m. Let n be (-3)\/(-1) - (3 + b). Suppose -7 - 5 = -n*r. Solve 0 = 6*c - 3*c - 12, -5*c + r = -4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 94*k. Let c(l) = l + 236. Give n(c(q)).\nAnswer: 94*q + 22184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h. Let y be -1 + (1 - (-8)\/1) - (2 + 2). Let q(p) be the third derivative of 0*p**y - 1\/10*p**5 + 0*p + p**2 + 0 + 0*p**3. Give u(q(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 e, and 1 h when four letters picked without replacement from {e: 1, d: 3, h: 3, z: 8, v: 4}?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -5*h**3\/3 - h**2\/2 - 5*h + 1. Suppose -32*p = -24 - 12 - 124. Let k(b) = 7*b**2 + 2*b + 8. What is p*k(c) + 8*n(c)?\nAnswer: -5*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (2\/8)\/((-62)\/(-744))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5444404141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12785881.\nAnswer: 983, 13007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 732852942 and 32595?\nAnswer: 6519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.748 times -3758?\nAnswer: -495108.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 7. Suppose 0*k - 3*k + 9 = y. Suppose k*z - 40 = 35. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 - 121*c**2 - 84*c - 1428. Determine w(-60).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 602*w = 397*w - 3895 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*270\/9)\/2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -344, -681, -1018, -1355?\nAnswer: -1692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 1104*f**2 + 17676*f - 16576.\nAnswer: 4*(f - 259)*(f - 16)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b3b5 - -2a?\nAnswer: -2b389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -186.515 - -186.215. Let z = 4.07 - 0.07. What is the third smallest value in i, z, 0.5, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 6 = 2*o, h = 5*h + 4*o + 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -5, -66, 1\/4, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hii when three letters picked without replacement from hidhhii?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 7*u**2 - 6*u + 11. Let l(n) = -129*n - 16. Let s be l(1). Let r = 137 + s. What is v(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4320)\/945*14\/(-12).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a*h*k + 1288*a*h + 1863*a*k + a + 64685*h*k + 168*h wrt a.\nAnswer: 2*h*k + 1288*h + 1863*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**9\/q**5)\/((q*q\/q**9)\/q**4))\/(((q\/(q*((q**2*q)\/q)\/q*q*q)*q)\/q)**8\/(q*q**2)**4) assuming q is positive.\nAnswer: q**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 + 1492 - 3234 - 2729 - 2435 to x*p + s + v*p**2 + a*p**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - (8 + -5))*1\/3. Let t(z) be the first derivative of -2*z**2 + 0*z**3 + 9\/5*z**5 + h*z + 6 + 0*z**4. Find the second derivative of t(l) wrt l.\nAnswer: 108*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: What is -34298 divided by 107?\nAnswer: -34298\/107","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: (-2 - -3 - (-1 - -4)) + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, h: 2, n: 6}. Give prob of picking 4 n.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32011310 (base 4) to base 9.\nAnswer: 87148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 2*m + 13 = -m, 135 = -13*m - 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -12. Suppose 0 = x*s - 2*m - 70, -2*s - m + 14 = -27. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 322912*z + 12914880.\nAnswer: (z + 40)*(z + 322872)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -7) + 30 + -43.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73\/(26\/4*(2360\/(-2065) + 118\/91)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17624, -31261, -44898?\n\"Answer: -13637*n - 3987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vaa. Give prob of picking 1 v and 1 a.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -1\/3, 10\/31, -9, 5?\nAnswer: 10\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k**2\/2 + 1. Let y(w) = 4 - 1 - 4 + 4*w. Determine -9*o(j) + 2*y(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 748625.\nAnswer: 5, 53, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 183.48664115 rounded to 0 decimal places?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5446730*u**5 - 16039714*u?\nAnswer: 108934600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*h - 0*h - 50 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 141 (base 7) to base 3\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7741 + -7734.584. Let q = -6.18 - 0.32. Let y = p + q. Which is the third smallest value? (a) y (b) 3 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151 divided by 2.\nAnswer: -151\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-276)\/144)\/((-89)\/1068).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/171)\/s*s*s*s*s\/(s\/s**26)*s*s**(-44)\/((s\/(s\/s**26))\/s) assuming s is positive.\nAnswer: s**(-6838\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5))\/1 + (-39)\/(-65)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23717, 47436, 71153, 94868?\nAnswer: 118581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 times -8541.9\nAnswer: -1452.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -6*v**3 - 2*v + 3. Let p be m(1). Let w(r) = r**3 + 4*r**2 - 12*r - 9. Let s be w(p). What is the greatest common factor of s and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g**2 + 68*g - 1 - 68*g.\nAnswer: -9*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1\/3, 0.2, -0.04, 46, 4, -0.3, -5.1?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/13 - 42*i\/13 + 136\/13.\nAnswer: 2*(i - 17)*(i - 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32189958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 537*g - 643547 + 697784 for g.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -805*b + 17 - 817*b + 4 + 1621*b.\nAnswer: -b + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48733357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-1)\/((-1)\/(-6)). Let d(n) = 15*n - 57. Let v(u) = -14*u + 55. Let z(p) = s*d(p) - 5*v(p). Find the first derivative of z(r) wrt r.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 202 + -5054135?\nAnswer: -5053533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -15 (b) -60 (c) -5 (d) 31 (e) 2\/5 (f) 170\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -57*r**6\/8 - 191*r**3\/6 - 695*r**2. What is the derivative of d(y) wrt y?\nAnswer: -2565*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 6*c**2 - 40*c + 226. What is g(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30 + 1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 2) in base 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/((n**28\/n*n)\/n)*n**(-1\/21) assuming n is positive.\nAnswer: n**(-547\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -58, 1, 75, 4, -1 in decreasing order.\nAnswer: 75, 4, 1, -1, -3, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-15))\/((-11)\/((-66)\/84))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 5359?\nAnswer: -5358.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 10:39 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.3 - -0.1. Is r at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07 - -0.03. Let s = 777 + -777. Which is the nearest to -1? (a) z (b) 1\/7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 p when three letters picked without replacement from pggggggmpg?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347023075 - 347023075 - 2*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36810747 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 44*a**3 + 305*a**2 - a - 240. Determine u(-7).\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-26))**(-35)*(t**(4\/15)*t)\/t*t**(-3) assuming t is positive.\nAnswer: t**(13609\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 3. What is the second biggest value in 0.4, 0, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 4*z**2 + 1. Let y(q) = -6*q**2 - 1. Let a be y(1). Let r = -4 - a. Is p(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - x**2 - 3*x - 2. Let f be t(-1). Let j be (f - 6\/6)\/(-2). Factor j + 1\/4*h**2 - 1\/4*h.\nAnswer: h*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w + 1 = 3*s, 2 = 2*s - 2*w. Solve -5*l + g + 4*g + 15 = 0, s = 2*l - 4*g - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64392024 or -64392023?\nAnswer: -64392024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 1308 = 8*b - o, 0 = o - 2. Let f = b - 210. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 5*h + 14. Let z be c(-7). Sort z, 1, -4, -6 in descending order.\nAnswer: 1, z, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -33, -65, -97, -129?\n\"Answer: -32*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 31.06024 nanograms?\nAnswer: 0.03106024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28*1*(-10645)\/29806.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n. Let h(r) = 3*r. Let j(c) = h(c) - 6*v(c). Let t(x) = -x**2 - 9*x. Let o be t(-9). Let d(s) = -s + o*s + 3*s. Give j(d(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**3\/3 - z**2 - 2. Let x be h(3). Solve -1 = l, b - x*l = -2*b + 15 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - (3 + 1 + sqrt(304) + sqrt(304))) + -4)**2*-4.\nAnswer: -1472 - 256*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.116 - 0.057. Round f to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(((-3)\/(-3))\/28). Let p = y - 85. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-24)*4*(-83)\/(28469\/5292)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.7 * -520\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108087 by 45.\nAnswer: 36029\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7946082?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbhclaa. What is prob of sequence chl?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (2\/(-2) - -1). Suppose 3*c + u*c + 84 = 0. What is the smallest common multiple of (c\/6)\/((-4)\/6) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28550, 28565, 28584, 28607, 28634, 28665?\nAnswer: 28700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 22*w + 74. What is the remainder when j(22) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 2*q + q. Suppose -2011 = -3*k + m, q = 2*k - 3*m - 1293. Suppose -3*l - k = -10*l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000331432128 to 6 dps.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.2. Let n = 8 - 7.97. Let l = -2.03 + n. Which is smaller: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 557 divide 1471146729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 818.616155 rounded to one dp?\nAnswer: 818.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -6*a**2 + 10*a + 22. Let w(q) be the third derivative of -q**5\/15 + 7*q**4\/24 + 5*q**3\/2 + 5738*q**2. Give -5*f(p) + 7*w(p).\nAnswer: 2*p**2 - p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6441\/11 in -0.2, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.196*46.6.\nAnswer: -55.7336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10\/28359 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 7*o + 29. Let n be z(-10). Suppose -b = 3 - 29. What is the remainder when b is divided by -4 + n - (-7 - 60\/5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 10:58 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -5. Let j(l) = -42*l**2 - 3. Let s(k) = -22*k**2 - 2. Let f(o) = 3*j(o) - 5*s(o). Calculate f(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, j: 1, m: 1, h: 3, v: 1, y: 2}. What is prob of picking 1 j, 1 v, and 1 m?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(2304) + sqrt(2304))*2)\/(sqrt(1200) + 4*2*sqrt(1200) - sqrt(1200)).\nAnswer: 18*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69923387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -48 (c) -1\/8 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12829042, 12829033, 12829018, 12828997, 12828970, 12828937?\n\"Answer: -3*l**2 + 12829045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23213 less than -5551.90507?\nAnswer: 17661.09493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 + -0.4. Let x = -0.5 + b. Let h = 0.3 + x. What is the second smallest value in h, -1\/6, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 0)\/(-105 + 101)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(425) + -3*sqrt(425))*5 - (sqrt(425)*-1 + -2)) + (-4 + sqrt(425) + ((sqrt(425) - (sqrt(425) + 0)) + -3)**2)*-1).\nAnswer: -150*sqrt(17) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -88*(-10)\/80 - (-1)\/(-2)*0. Solve 0 = -z*g + 19*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in meters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.34532444 rounded to 2 dps?\nAnswer: 43.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194782?\nAnswer: 2, 7, 13913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l, 4*q + 4*l = 313 + 315. What is the remainder when q is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8782 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 i(b) = b**3 + 6*b**2 + 6. Suppose 1 = n - 0*n. Let m(w) = w**2 + 1. Calculate n*i(v) - 6*m(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppkpppppkppkpp. What is prob of picking 3 p?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.36593 times -113.1\nAnswer: -154.486683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 18 = -6. Let j be ((-29)\/(-8) + d)*(-2)\/(-3). Put -1, j, -12 in increasing order.\nAnswer: -12, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, y: 2, s: 1, q: 6, x: 2}. What is prob of picking 1 i and 2 y?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73354*g - 41 = -5*h - 73353*g, 6*h - 39 = -2*g + 23 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.02116 and -15.8?\nAnswer: 13.77884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -6*h - 1. Let g(a) = -25*a - 5. Give 2*g(v) - 9*s(v).\nAnswer: 4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 867533, -138, 1 in descending order.\nAnswer: 867533, 1, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 13160?\nAnswer: 118440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3760 and 3008?\nAnswer: 15040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010171202907 to 6 dps.\nAnswer: 0.010171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*s = -258, 0 = -3*p - 2*s + 62 + 92. Calculate the remainder when p is divided by ((-287)\/82)\/((-2)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 23?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*i + 10. Let w(j) = i + 4 - 2*j - 6. Let v(s) = -3*s. Calculate w(v(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + (-46 - 296\/(-8)) - 4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**3\/2 - 14*k. Let h(c) = c**2 + 0 + 0. Let x(t) = -5*t**2. Let b(o) = -6*h(o) - x(o). Determine i(b(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 9 = 2*n. Suppose n*q = 6*q + 18. What is the lowest common multiple of q and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 1460*h + 140. Let j be c(7). What is the units digit of j\/110 - (-6)\/(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2.2 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7*((-30)\/56 + 2\/8). Suppose -7*d - f*t = -2*d + 1393, -3*t = -3. Let v = d - -398. List the prime factors of v.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i + 4. Suppose 4*p + 3 = 11. Let g be h(p). Suppose 2*n - 3*n + 25 = g. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112904 and 22396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 444529451893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -378 divided by 7.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*f - 294 - 201. Suppose -5*o = -2*o - 12. Suppose 20 = o*s, 2*k + 3*s - 48 = -s. Are f and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3, 5*x + 96 + 359 = 2*z. Let m = -150 + z. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 223*a**2 - 3756*a - 550. What is z(17)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 17 + 3 = 0. Calculate the remainder when -1 + l\/4 + -3 + 39 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 1104231?\nAnswer: 1104224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11011332*j**3 - 16308709.\nAnswer: 33033996*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 88183853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1297*m**2 - 1294*m**2 + 1786*m**3 - 4*m - 1737*m**3 to t*m + r + a*m**3 + p*m**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 67*g**2 - 8. Let b(c) = -150*c**2 + 18. Let f(k) = -4*b(k) - 9*x(k). Let l(w) = -w + 126. Determine f(l(t)).\nAnswer: -3*t**2 + 756*t - 47628","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7296 = 3*p - 25632. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 213, 410, 607, 804, 1001, 1198?\n\"Answer: 197*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*o + 43*o + 160. Let v = 85 - o. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 10. Let g(o) = 2*o + 4. Determine g(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*sqrt(52))**2 + -2 + -1*(-4 + 5 + sqrt(52)).\nAnswer: -2*sqrt(13) + 467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2283 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69677107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -12*k + 93. Let u be z(7). Let o be 1 - (-4)\/(-8)*-4. Solve 0*b = o*b + u, 4*b = 5*l - 37 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 671344.\nAnswer: 2, 41959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05857 - -24.85643. Let f = -25 + d. Let r = f - 0.015. Which is the third smallest value? (a) r (b) 9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.800661 rounded to three dps?\nAnswer: -2.801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.35 and -10.8.\nAnswer: 3.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 5*g**2 - 5*g + 5. Let t be b(-5). Let p = 18 + -13. Suppose -4*j + 35 = -p. Solve 5*y - 2*h + t = 5, 2*y + j = -3*h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + -30. Let o(d) be the third derivative of -2*d**2 - 2\/15*d**5 + 0 - 1\/12*d**4 + a*d - 1\/6*d**3. Calculate o(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - l. Let p be 0\/(-1 - 0\/(-3)). Suppose 4*m + 1 - 5 = p. Let f(k) = k**2 + k. Give m*g(z) + f(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26341200 a multiple of 3240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**2\/2 + 2*d + 24. Determine f(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 660912 and 282?\nAnswer: 31062864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -91707 take away 162?\nAnswer: -91869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 divided by 4?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3350*n**3 + 3526*n**3 - 7632*n**3.\nAnswer: -756*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) 2\/7 (c) -1\/3 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -221738\/5 - -44348. Solve -j*h**3 + 6\/5*h + 4\/5 + 0*h**2 = 0 for h.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-936)\/390*-5*8*(-2)\/(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 5. Suppose 4*x + 5*s = -33, -3*s = 2*x + 15 + 2. Let d be t(x). Let y = -405 - -405. Solve -3*q + d*q - 4 = y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3429*b = -3476*b - 376 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*f - 28*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1048.2 less than 5?\nAnswer: 1053.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**2 + 0*d**2 - d**2 - 3*d**2 in the form h + x*d + k*d**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -938292990 divided by -10?\nAnswer: 93829299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 3 = -q. Let d = -10 - -11. Calculate the greatest common factor of d and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85\/74 + -2441\/6216. Let f = y - 8\/21. Which is the closest to -1\/2? (a) 6 (b) -5 (c) 0 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -25. Let i be ((-7)\/(d\/(-10)))\/(4\/(-6)). Is 18 a factor of 92 - i\/(-15)*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 2*j + 3. Let d be r(-2). Suppose 3*k = 4*t + 26, 0 = -d*k - 4*t - 3 - 11. Solve 0 = u + 2*a + k - 6, -a + 1 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 285 - 287. Let j(u) = -10*u + 5. Let z(k) = -5*k + 2. Let v(w) = g*j(w) + 5*z(w). Let l(o) = 10*o. What is l(v(b))?\nAnswer: -50*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1859 + 16703\/9. What is the second biggest value in a, -5, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53207573693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 465*s = 466*s - 13044, -13042 = -5*h - 3*s. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 120, 995, 3372, 8001, 15632, 27015, 42900?\n\"Answer: 125*q**3 + q**2 - 3*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7725581\/22860555 + -2\/157659. Let y = 4\/29 - o. Let n = 2 - 5. Sort n, y, -2.\nAnswer: n, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssccsc. What is prob of sequence cssc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 58701 divided by 4?\nAnswer: 58701\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/6 - (-2 - 0). Let y = r - 5. Solve 4*p - 4*z = 16, -p + y*p = 2*z + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2246\/5 + 449. Put s, -3, 162, 0.2 in decreasing order.\nAnswer: 162, 0.2, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61479 divided by -6831\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -245 by 49.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1878, 1882, 1886, 1890, 1894?\nAnswer: 1898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169*40959\/246*2\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1948 and -39916?\nAnswer: 77756368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30481*y - 14134?\nAnswer: -30481","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-2 + (2 - (-5 - -3)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162 and 45.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 55605.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u. Let c(d) = -5*d - 4*d - d + 2*d. Let x(o) = c(o) - 6*y(o). Let p(t) = -4*t**2. What is p(x(g))?\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40\/(-25)*25\/(-10). Suppose 2*g - 89 = -49. Solve -8*z = -x*z - g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-2\/13)\/d*d*d**(-13) assuming d is positive.\nAnswer: d**(-158\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 413281585 a multiple of 407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/3*11*-1. Let q = u - -22. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 484998 - 6*m**3 + 484833 - 969831.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -220 by 10.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22907913*f**2*y**3 - 2053737*f**2*y**2 wrt y?\nAnswer: -137447478*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-18))\/((-36785)\/(-12612))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1137587959 divided by 6\nAnswer: -1137587959\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 46933.3 kilograms in tonnes?\nAnswer: 46.9333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1872) + 4 - sqrt(1872)) + -5)**2*-3.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -2111?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -365009*o**2. Let j(l) = -4*l**2. Calculate m(j(p)).\nAnswer: -5840144*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 14. Let x(v) = -f*v + 15 - v**3 + 2*v + 3*v**3 + 4*v + 3*v**2. Let o(u) = -3*u**3 - 5*u**2 - 7*u - 31. Let l(b) = -3*o(b) - 5*x(b). Calculate l(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 184.4 (c) 0.3 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 9 = 3*u. Suppose 63 = u*b + 5*b. Let d(a) = 39*a. What is the remainder when d(1) is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.558 or 1164.6?\nAnswer: 1164.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 578*u - 2856*u + 2*u**2 + 567*u + 573*u + 571*u + 567*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 912.5243g in nanograms?\nAnswer: 912524300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 9. Let s be v(11). Suppose 0 = u - 2*g - s, g + 2 = 5*u + 1. Suppose u = 4*z - 8*z + 212. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 442 = 278. What is the remainder when g is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61408363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*d - 27*d + 42*d to the form v + n*d and give n.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4 - 10 - 17 + b + 1. Determine m(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2034*a + 2. Let h(x) = 2*x**2 - 5*x - 2. Let c(f) = -13*f**2 + 30*f + 12. Let r(j) = c(j) + 6*h(j). Determine r(t(p)).\nAnswer: -4137156*p**2 - 8136*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 5*p - p, -2*y - 2 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qsqqqsqqqqsqqq. Give prob of picking 2 q and 2 s.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 264*t + 58181 = 259*t, 0 = -2*t + 14. Round y to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from glligilgll. What is prob of sequence glg?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/30)\/((-268)\/670))\/(4*4\/(-72))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - -62. Suppose -2*s - q = -48. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -487 - 116 = -102*z + 519 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2088*g - 1325*g = -1958*g - 726*g - 31023 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 n when three letters picked without replacement from {h: 1, w: 2, n: 1, r: 4, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*o**3 - 103 + 103 + 9*o wrt o?\nAnswer: 54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 754570 is divided by 1711.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00148 to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vovhoooovhov. Give prob of picking 3 h and 1 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-6))\/(42\/(-36)). Let y = 117 + -114. Sort y, -0.1, p in decreasing order.\nAnswer: y, p, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 12:33 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 - 3*k**2 - 2481 - 2*k**2 + 1247 + 1234.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y**2 - 67*y - 299. What is l(0)?\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 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: What are the prime factors of 44302?\nAnswer: 2, 17, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, z: 1, j: 5, o: 1}. What is prob of picking 2 x, 1 o, and 1 z?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 363.6714 milligrams?\nAnswer: 0.0000003636714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725261103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1223024?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149794, 299583, 449372, 599161, 748950?\nAnswer: 898739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**6\/144 + 5*t**4\/48 - 5*t**3\/2 + 15*t. Let u(j) be the second derivative of l(j). Solve u(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1608 - -1685) + (-9462)\/123.\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 98.\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -3, -12 in increasing order.\nAnswer: -17, -12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -3.92. Which is the third smallest value? (a) s (b) -2 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2553575925.\nAnswer: 3, 5, 83, 97, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1354\/10 + 6\/(-15). Suppose 4*y - 357 = -2*f + 113, -y - 4*f = -c. Let w be (-2)\/(-1) + (y - 0). Calculate the greatest common factor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 235 and 4559.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 4*x = -39, -5*f + 5*x + 3566 - 3571 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167.04032 rounded to the nearest integer?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38 - 1?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19468\/423 - -260\/47. Is o bigger than 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 + 462782*y - 19895928.\nAnswer: -2*(y - 231348)*(y - 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (142\/639 - 124\/(-90))\/((-2)\/(-5)). Solve m + 4 = 2*k, 0*k = -x*m + 4*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1276 and 46904.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*c + 44 + 20*c + 23*c + 23*c.\nAnswer: 4*c + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 109*u**6\/3 + u**5\/5 - 2*u**4 + 2764*u**3\/3 - 2*u - 2512. Find the third derivative of b(p) wrt p.\nAnswer: 13080*p**2 + 24*p - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10366.69 - -0.0859647.\nAnswer: -10366.6040353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -4. Let m be (54 - -6)*n\/(-10). List the prime factors of ((-2)\/5)\/(m\/15120).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -20\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 802 = -2*x + 2832. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e2a + 2?\nAnswer: -e28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2044284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -152 in -2\/19, 4, -305\/7, -2, -5?\nAnswer: -305\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-2) + (-140 - -125)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/1276 and -79\/4092.\nAnswer: 118668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 4*s - 6. Let l(f) = -f**3 + 2*f**2 - f + 1. Let c be l(3). Let y(m) = -m**2 - 12*m - 5. Let q be y(c). What is the units digit of a(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21200111200100 (base 3) in base 14?\nAnswer: 784677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 12690819.3 to the nearest one hundred thousand.\nAnswer: 12700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a**3 - a**2 - 246?\nAnswer: 3*a**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2944876674636 + -12.\nAnswer: -2944876674648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 2*k - 7 - k)*(-k**2 + k**2 - 2*k**2).\nAnswer: -2*k**3 - 16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -2, -3, 13, 5, -41, 1 in ascending order.\nAnswer: -41, -25, -3, -2, 1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -b7642b (base 12) in base 6?\nAnswer: -142002455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 29.4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130610 and 6001?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.05, -2.9, 0.3, -41?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*j**2 - j**3 + 304*j**2.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 12 - 3. Suppose z - 25 = -c*i, i + z = -3 + 12. Suppose 0 = -4*s + 28 + 28. Calculate the remainder when s is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-306)\/4*-102*122\/(-27999)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 224 - 98. Is l a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1139 - 5473 = 144*h + 30*h for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/3 in 136, 0.4, 5\/2, -3, -5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**2 + 20*i + 6. Suppose -4*v - 1 = 4*h - 9, v - 26 = 5*h. Let s be b(v). Calculate the greatest common factor of 342 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.6 + -2.6. What is the third biggest value in -5\/6, c, 2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c + 7. Calculate the remainder when r(18) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8391.8633 rounded to the nearest integer?\nAnswer: 8392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*l + 24 = 0, -3*m + 11 = -3*l - 13. Suppose 3 = m*v - 13. Solve v*o - 14 = 2*y - 0, 0 = -o + 5*y + 17 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322854101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u + 7. Let f(t) = -3*t + 7. Let v(r) = 6*f(r) - 5*p(r). Let i = -3190 - -3264. Calculate the remainder when i is divided by v(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 27968.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006935 to 6 dps.\nAnswer: 0.000694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3568291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394795 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 1\/12, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + u + 1. Let w(l) = -24*l**3 - 14*l - 2. Let m(f) = -2*q(f) - w(f). Find the third derivative of m(s) wrt s.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -507*t + 501*t = 0. Let h = -295 - -290. Which is the closest to t? (a) 31 (b) -3\/2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -91, -178, -265?\n\"Answer: -87*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1076*s + 3 = -1077*s + 2*g, 0 = 12*s - 3*g + 15 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 139.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 405, 1015, 1879, 3003, 4393, 6055, 7995?\nAnswer: 10219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -92 + 90 - 8*k**2 + k**3 + k - 2*k + 3*k + 3*k. Calculate z(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnpnfnpnfpfnppnnf. Give prob of sequence nnfp.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391\/1 + (-374)\/22 + 25.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 645137?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -5855.78 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 153 + -224. Let h = p + 99. Calculate the greatest common divisor of h and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (6 + -6 + -5)) + -1 + -16?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1557889 greater than or equal to -50\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-11) - 334459\/(-341). Is ((-5)\/(-2))\/(3\/(l + -3)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1414360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/206 (b) 4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212862, -425723, -638584, -851445, -1064306?\nAnswer: -1277167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 3*o**2 + 2*o + 3. Let k be w(7). Let m = -72 - k. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -255 - -262. Let r(j) be the third derivative of 0 + 0*j + 1\/3*j**3 + 1\/10*j**5 - q*j**2 + 0*j**4 - 1\/120*j**6. What is r(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047187 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-6)*27\/(-12). Let i be 48\/36 - 3\/(9\/85). Suppose -7*h + 8*h = -5. Sort i, h, x in increasing order.\nAnswer: i, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6cc0a + -73?\nAnswer: 6cb87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -4 + (2 - -6) + 7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)\/z)**(1\/32)\/((z\/z**(-5\/6))\/z*z**(2\/7))*(z**(-3)*z**(1\/5))\/(z**(1\/4)*z*z*z\/z**6*z) assuming z is positive.\nAnswer: z**(-3749\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -1916\/17 and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 14*r = -617. Suppose 3*h + r = -o, 0 = -5*h - 3*o - o - 1040. Is h less than -203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 45\/110871751?\nAnswer: 45\/110871751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3132 - 2765. What is the smallest common multiple of x and 3?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-8\/11)))**46 assuming y is positive.\nAnswer: y**(368\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0119 - -489.9881. Let a = p + -490. Is -1\/36 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 + 9*t. Let c(b) = -70*b**2 - 306*b. Let w(y) = -6*c(y) - 204*r(y). Let g(o) = 0 + o + 0 + 0. What is w(g(q))?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1230131 + 2003330?\nAnswer: 113133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-336*m - 1109*m - 545*m)*(4*m + 2*m - 5*m).\nAnswer: -1990*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2. Let t(a) = -12*a - 63. Calculate t(o(c)).\nAnswer: 24*c**2 - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -4*n**4\/3 + 4844*n**3 + 72764*n**2\/3 - 4844*n - 72760\/3 = 0?\nAnswer: -5, -1, 1, 3638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 1210122212?\nAnswer: 1210122210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 573956547 to the power of 1\/2, to the nearest integer?\nAnswer: 23957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 85979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17945601*q**4 + 137835023*q wrt q.\nAnswer: 215347212*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/9)\/(6\/9). Let c = r + 7. Calculate the highest common factor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11024 (base 7) in base 3?\nAnswer: -10210022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 4*n + 11. Let t(s) = -s**3 + 10*s**2 - 8*s - 6. List the prime factors of t(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5*t**2 + 3)*(-2*t - 2*t + 3*t) + 8 + 20*t**3 - 8 to the form j*t**3 + l + s*t**2 + z*t and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2960830, -2960828, -2960826, -2960824, -2960822?\n\"Answer: 2*q - 2960832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219, -943, -1667, -2391, -3115?\nAnswer: -3839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 46*n**2 + 23*n - 39. Suppose -435 + 99 = 56*y. List the prime factors of h(y).\nAnswer: 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 63*s + 764. Let t = -46 + 68. Calculate the least common multiple of t and h(-47).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 16. Let f = x - -7. What is the derivative of f + h**2 + 2 + h**2 wrt h?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -736*n**5 - 4*n**4 + 18*n**2 - 197198*n wrt n?\nAnswer: -14720*n**3 - 48*n**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 16.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26596800?\nAnswer: 2, 3, 5, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 2. Put -0.2, b, 3 in decreasing order.\nAnswer: 3, b, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -z - 7, -k + 7 = -5*z - 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l + 6 + 4*l - 7*l + 19*l.\nAnswer: 10*l + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1000111111000111 (base 2) to base 5\nAnswer: 2134212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -449 + 99. Let n = d - -1610. Is n\/16 + 3\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 2*b**6\/3 + 3*b**5\/20 - 59*b**4\/12 + b**2\/2 - 62*b + 2. What is the third derivative of n(p) wrt p?\nAnswer: 480*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/135*3*1. Let y = -180\/7 - -713\/28. Which is the third biggest value? (a) r (b) -4 (c) y (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4*d + 18, m = -4*m - d + 23. Suppose -8*p - m*a - 1453 = -10*p, -1465 = -2*p + a. What are the prime factors of p?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -866*v + 787. What is b(1)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -13 + o**3 + 18 - 12*o**2 - 5*o**3 + 2*o. Let q be y(8). Let z = q + 44657\/16. Calculate the common denominator of z and -45\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 188\/17*v**3 + 386\/17*v - 132\/17 - 24*v**2 + 2\/17*v**5 - 36\/17*v**4 = 0. Calculate v.\nAnswer: 1, 2, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3441.862049 rounded to the nearest 10?\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4098718 and 494?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6 + (-1626)\/(-9). Let x = -352 + y. List the prime factors of x\/(-12) + (-2)\/8.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 5 + 10. Let v be (-1)\/(-2)*t*-2. Let o = -1 - v. Solve -o*y = -0 - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(88) - (sqrt(88) + sqrt(88)*3*6))\/(4*sqrt(8)*-3).\nAnswer: 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 432271 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4409372 * 27.\nAnswer: -119053044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1366 + 13227?\nAnswer: 14615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 685 or 687?\nAnswer: 687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 2*b - 169 = 3*c, -102 = -3*c - b. Calculate the remainder when c is divided by (-2)\/30 + -16 + (-4088)\/(-120).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 116 + 116. Let o(a) = -23*a. Calculate c(o(v)).\nAnswer: 529*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -20*w**3 - 5*w**2 + 4*w - 4. Let z(t) = 19*t**3 + 4*t**2 - 3*t + 4. Give 4*q(n) + 5*z(n).\nAnswer: 15*n**3 + n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 811 = -227*n + 584. Which is smaller: n or -3\/1910?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/8 + 233*t**2\/8 - 23349*t\/4.\nAnswer: t*(t - 129)*(t + 362)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**3 - 6*c**2 + 9. Let v(r) = -r**2 + 1. Give -m(z) + 6*v(z).\nAnswer: 2*z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 13, -0.211?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42276557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/2001 and -43\/92?\nAnswer: 8004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4476 and 4?\nAnswer: 4476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 13*b**2. Let o be y(-13). Suppose -4*t - 14 = 5*w, 5*t + 0*w + 36 = 3*w. Let l be (-4)\/t + 161\/(-84). Is o greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6618 and -0.03.\nAnswer: -198.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7841\/28 - -280. Sort -0.2, b, -0.5 in descending order.\nAnswer: b, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 451.5085 weeks to days.\nAnswer: 3160.5595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -33*v**3 - 3426*v**2 + 14880*v - 2592 = 0?\nAnswer: -108, 2\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 4*j - 3*j)*(0*j + 0*j - 2*j) - 56 - 3800*j**2 - 6736*j**2 - 711*j**2 + 56.\nAnswer: -11243*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*q + 183236, 0 = -5*q + 17*n - 12*n + 229080. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/(-3380)*13 + (-4)\/(-26). Solve -5*i + 2*v + 2*v = -2, 4*i - 3*v - 2 = o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7680 divided by -1\nAnswer: -7680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.1039745 rounded to zero dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, s: 6}. Give prob of picking 4 s.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 6. Let a(y) = -y**3 - 10*y**2 - 10*y - 9. Suppose -3*d - 40 = -13. Let h be a(d). Determine b(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27312598 is divided by 4645.\nAnswer: 4643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((v + 3*v - 6*v)*(-12*v - 2*v + 8*v) - 2 - 2*v**2 + 2)*(-v - 2*v + v) to the form y + q*v**3 + n*v + g*v**2 and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 6\/(-6))\/(4\/6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + 3*((-3*(sqrt(98) + -2))**2 + 0)).\nAnswer: -5498 + 1512*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (-1*sqrt(99)*4 + sqrt(99)))\/(sqrt(18)\/sqrt(2)*2).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*sqrt(228)\/sqrt(12) - (sqrt(114)\/(sqrt(6) - 2*sqrt(486)))**2.\nAnswer: 559\/289 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3558985, -7118633, -10678267, -14237881, -17797469, -21357025?\nAnswer: -24916543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2795 + 2723 = 12*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*y + 55*y + 6. Let f = -958 + 6703\/7. Put f, 7\/2, y in descending order.\nAnswer: 7\/2, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -906, -1 in decreasing order.\nAnswer: 2, 1, -1, -906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -0.2, 0.042, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/15, -451, -1638?\nAnswer: -451","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -2, 25, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 77, 155, 233?\n\"Answer: 78*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**4 + v**4 + v**4 + (-v**2 - 3*v + 3*v)*(0*v**2 + 0*v**2 - 4*v**2) to the form t + o*v**2 + z*v + n*v**4 + j*v**3 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 9647 = t, -t - 4*q + 9698 - 57 = 0. What is the thousands digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - x + 3. Which is the second biggest value? (a) x (b) -2\/13 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 400200 and 5152.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4427149392 divided by -6\nAnswer: 737858232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/30 + 16\/(-6). Put 4, 3, g in increasing order.\nAnswer: g, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/15 and -59\/75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0373*-77.\nAnswer: 2.8721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 362, 0.941, 7?\nAnswer: 0.941","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 27*v - 169. Let u be g(14). Let q(n) = -5*n + 3. Calculate q(u).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 182 - 178. What is the closest to -0.2 in 11, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -2.9. Let y = -0.6944 + 0.5944. Let g be (5\/(-4)*1)\/(2 + -1). Sort w, g, y, 1 in decreasing order.\nAnswer: 1, w, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10566 + 10561. Sort -2\/3, 0.16, 5, s in decreasing order.\nAnswer: 5, 0.16, -2\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**5\/150 - 7*n**4\/45 + 4*n**3\/3 - 24*n**2\/5 + 39*n. Factor j(h).\nAnswer: 2*(h - 6)**2*(h - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z + 2*z + 0*z + (-34*z - 37*z + 67*z)*(3 + 0 + 6) as r*z + j and give r.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 8 = 4*l - 4*g, 3*l = 2*g - 3. Suppose -3*w + 0*w - 7 = -t, 5*t = w + 35. Calculate the greatest common divisor of t and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 15 + 2*r + 14)*(23 - 41 - 71).\nAnswer: -267*r + 89","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -147 + 210. Calculate the greatest common factor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.491 and 3\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 2*j + 2021 - 2037 = 0, 0 = 5*g - 3*j - 40 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - z - 16. Let a be 0 + 1 + -1 - 0. Suppose -50 = -a*j - 5*j. Solve -2*n = n - 2*b + j, -10 = n - z*b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32632169 is divided by 367.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/6)\/(3\/(-180)*2). Calculate the highest common factor of 32 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 107*i. Let d(k) = 182*k + 87*k - 109*k. Determine 5*d(q) - 8*g(q).\nAnswer: -56*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8392900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*a - 8. Calculate the common denominator of (-34)\/(-7) + a\/28 and 39.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 140 = 4*s + q, -5*s - 195 = -q. Let l be -2 + s\/8*76\/(-10). Solve 4*o + a + l = -3*a, 33 = -5*o - 2*a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67 and 737?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-4032)*48*(-1*20)\/1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h. Let r be p(5). Let k be (-2 + 3)*(-6)\/2. Let z = r + k. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-24))**(-6\/19)*(y*y\/(((y**27*y*y)\/y)\/y)*y)\/(y\/(y*y*(y\/((y*y\/y**(-1\/21))\/y))\/y)) assuming y is positive.\nAnswer: y**(-6571\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-4) - ((-108)\/(-16))\/(24\/(-240)). Solve -86*q + 75*q - r = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 3068279 - 3068296 = z, 0 = 7*z + m + 17 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 6*y**2 - y + 7. Let x(p) = 2*p**2 - 18*p - 4. Calculate the lowest common multiple of h(6) and x(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21\/2 + 65\/6. Let w = 3292 - 3297. Which is the third smallest value? (a) t (b) w (c) 0.094\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*(g**24*g*g)\/g))**(2\/13)*g**(-2\/7)*(g*g**7)\/g)**(-31\/4) assuming g is positive.\nAnswer: g**(-8091\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224, -411, -594, -773, -948, -1119, -1286?\nAnswer: -1449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - v + 23 = 0, -5*v + v = 2*l - 32. Let f = l - 1. Suppose 3*s + 9 = 6*s. Solve -f*g + 10 = -4*w, -7*w = g - s*w - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*z**2 + z**4 - 12*z**2 + 53*z**2 - 5*z - 2 to r*z**3 + h*z + o*z**4 + d*z**2 + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 11*h - 24. Let o be k(7). Let j = 55 - o. Let x be ((-5760000)\/21)\/(j\/(-21)). Round x to the nearest 100000.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-6) + 28\/6. Let x be (-5 - 15)*(-1)\/(-2). Let j(q) = q**3 + 10*q**2 + q + 13. Let d be j(x). Solve -d = n - k*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n - 1. Let q(t) be the third derivative of -t**5\/60 - 19*t**4\/24 + 2*t**3\/3 + 2021*t**2. Give 2*q(v) + 9*y(v).\nAnswer: -2*v**2 + 7*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/7 - 64*h**3\/7 + 624*h**2\/7 - 256*h + 224.\nAnswer: 2*(h - 14)**2*(h - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 3*v**2 + 2*v - 4. Let o be z(3). Solve -o = i + 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 10:21 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 12 = -7*n. Solve n*z + p + p - 6 = 0, -5*z = -4*p + 21 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 240*l + 1625. Does 16 divide z(-107)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 15 = -2*h + 5*h, -28*h = -j - 24*h + 43 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*p + 3, 3*v = -26*p + 30*p - 3. Solve 0 = -3*d - 3*s - 21, -s = 2*d - p*s + 10 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, r: 5, l: 4}. Give prob of picking 1 x and 1 l.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and 186.\nAnswer: 111.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 + 68. Sort -3, -9, c.\nAnswer: -9, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6564 divided by 6?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109089 and 1457.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*r + 6180 = 96*r - 1952 for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 13. Suppose -20 = -h - 3*h. Let o be s(h). Let z be 64\/6*42\/o. Calculate the greatest common factor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -38. Suppose -q*g = t + 16, 0*g = 3*t - g - 32. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*a + 98*a - 31*a**3.\nAnswer: -31*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1149 is divided by 192?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17688112 a multiple of 2456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 2*g - 22. Suppose -g + 37 = 2*j. Calculate the remainder when 36 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 10) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + 2 + sqrt(50).\nAnswer: 5 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -165 + 167. Suppose a = x*p + 10, 30*a + 10 = 33*a + 4*p. Solve -9*s + 21 = -a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 + -21. Let p = -23 + u. Put p, -1\/5, -10 in ascending order.\nAnswer: -10, -1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 1.879, 1, -2269?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)\/(sqrt(8)*4) - sqrt(2816)*5)\/(-5*(sqrt(4) + sqrt(4)*-4) - (sqrt(576) + (sqrt(576) - (sqrt(576) + (sqrt(576)*-5 - sqrt(576)))))).\nAnswer: 53*sqrt(11)\/92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2921849073?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u. Let h(i) = 5*i. Let q = -93 + 99. Let r be 9\/q*88\/12. Let c(j) = j. Let l be c(6). Calculate l*h(s) + r*k(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.2, -0.05, -161, 6, -0.03?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 20*m**2 - 96*m - 41. Calculate l(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -607501605*m**3*o + 389*m**2 - m*o + 71139*o wrt m?\nAnswer: -3645009630*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, 2\/5, 4\/15, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 4. Let k be j + 37 - 0\/6. Calculate the greatest common factor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -1\/9, -29, 2\/19?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**4 - 207*j**3 + 1599*j**2 + 207*j - 1596 = 0.\nAnswer: -76, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3610, -3611, -3610, -3607?\nAnswer: -3602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*4\/(-18) - (-224)\/96?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001448765 rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15\/8, -587\/206, 0.4.\nAnswer: -587\/206, 0.4, 15\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2c (base 13) to base 4\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 838 = -2*j - 638, 6*j = 588 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 18 = 22. Let k(d) = -8 - 1678*d + 1675*d - 4. Let p be k(-3). Put o, 1, p in increasing order.\nAnswer: o, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -72598 - 664.\nAnswer: -73262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.18 - 0.48. Let i = t - 11.7000825. What is i rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80913 - -41508355\/513. Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5162.041 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*p**2*y**4 - 13526*p**2*y + 5*p*y**2 + 8*y**4 wrt y.\nAnswer: 432*p**2*y**2 + 10*p + 96*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 71. Calculate s(0).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, d: 2, q: 3, w: 1}. Give prob of picking 2 q and 1 d.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 29. Let g = -1 + b. Is 172\/g*15*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/6 + 0 - 35\/(-14). Suppose 6*w = u*w - 183. Let l(c) = c - 19. Let i be l(21). Sort -2, i, w.\nAnswer: w, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, -7, 6\/19, 5\/7, 0.3.\nAnswer: -7, 0.3, 6\/19, 5\/7, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*j + 81485 = -162*j. List the prime factors of j.\nAnswer: 43, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((48\/(-30))\/2)\/((-1)\/10). Sort -5, a, 5 in descending order.\nAnswer: a, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -5. Find the common denominator of v\/8 - 23\/2 and 1102\/288 + (-1)\/(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.562*-4\nAnswer: 2.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33, 65, 95, 123?\n\"Answer: -k**2 + 35*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.3. Let s = -260226 + 780674\/3. Which is the nearest to m? (a) 2 (b) 0 (c) s (d) 0.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**11)\/x**(6\/7))\/((x*x**10)\/x**(-6)) assuming x is positive.\nAnswer: x**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 594085, 1189594, 1785113, 2380648, 2976205, 3571790, 4167409?\nAnswer: 4763068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(30)\/(sqrt(10)*-1).\nAnswer: -5 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1352 + 374 - 1726 + 15*r + r - 6*r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 3146776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 0, -2, -1, -36, 1697 in descending order.\nAnswer: 1697, 4, 1, 0, -1, -2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 958 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110105 is divided by 55035.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3577925 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c - 5 - 2 - 1 + 5. Let j(w) = 3*w + 4. Let u(v) = -4*d(v) - 3*j(v). Let m be (-51)\/17 + 60\/10. What is u(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-5)*(414\/(-920))\/((-1)\/(-5))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((-17)\/51)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -73136336400 to the nearest one million.\nAnswer: -73136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 1105*s**2 + 85*s. Let u(d) = -79*d**2 - 6*d. Give 85*u(m) + 6*w(m).\nAnswer: -85*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 + -2)\/((-4)\/(-124))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 5:11 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-462)\/98)\/(4\/14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46918?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (36\/(-30))\/(4\/(-10)). Suppose 16 = -4*c + 2*u - 6*u, 18 = -2*c - 4*u. Solve 2*w = -s + c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(175)*-1 - sqrt(175)).\nAnswer: -sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 + 12 + -30 + -24?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 7034600 and 7034601 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*x - 6. Suppose -5*a = -x*a. Let s(h) = -h**3 + 4. List the prime factors of s(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 141 + -21. Let v(g) = g**3 + 4*g**2 + 3*g + 3. Let u be v(-3). Let a be u\/2 + (-7 - s\/(-16)). Solve 22 = -2*l - 4*p, -3*l - a*p + 0*p = 17 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/1536 and 89\/59397504.\nAnswer: 237590016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**2 + 2*z. What is the tens digit of x(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/422644048 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -102534479 rounded to the nearest ten thousand?\nAnswer: -102530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**2. Suppose 4*q = -0*q + 20. Let b be -2 + -1 - (-5)\/(-25)*5. Let k = b + q. What is x(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 3*f + 14 - 20.\nAnswer: 6*f - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37071 is divided by 1692?\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*n**5 - 3*n**5 + 0*n**5 + (3*n - 3*n - n**2)*(1 - 1 + n**3) - 3*n**3 + n**5 + 3*n**3.\nAnswer: 22*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -43 (b) -0.836 (c) 0.4 (d) 1 (e) -5 (f) -131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 13) to base 2\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 0*l + 0*l**5 + 0 + 0*l**4 + 0*l**6 + 28\/3*l**3 + 6\/35*l**7 + 39*l**2. Differentiate c(t) with respect to t.\nAnswer: 144*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.988 * 5.\nAnswer: 34.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 2 + 2)*((3*l - 3*l + l)*(-l + 6 - 6) - 4*l + 4*l - 2*l**2 + (-l**2 + 2*l**2 - 2*l**2)*(2 - 5 + 2)).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -133*l**3 + l**2 + 2*l + 1. Let s be o(-1). Let b = s + -76. Is b a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 4 + 1. Let z = 6 - o. Suppose z*n = -3*k + 10, 6 = 3*n + k - 2*k. Solve -2*t + 5*g - 11 - n = 0, -2*t = -g + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -3*a + 3*o - 2, -o = a - 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -197*v - 13. What is the units digit of p(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 - q**4 + 2*q**3)*(-2*q + 2*q + q) - q + 7*q**5 - 4*q**5 + 6*q**5.\nAnswer: 8*q**5 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 78*i**2 + 2*i. Let k(g) be the second derivative of -g**3 + 132*g + 4. Give z(k(h)).\nAnswer: 2808*h**2 - 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89565265 divided by 1139.\nAnswer: 78635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -53*l**2 + 106*l**2 - 52*l**2 + 11 + (-l**2 + 0*l**2 - l**2)*(-3 - 3 + 7).\nAnswer: -l**2 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 428895443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -a45 (base 11) in base 7?\nAnswer: -3446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 3:55 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -2.7253.\nAnswer: -5.7253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34120 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 11*s - 248. Let r = 35 - s. Find the third derivative of 153*l**r + 7*l**2 + l**5 - 153*l**4 wrt l.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 7*m - 6. Let y be a(6). Suppose -12 = -y*x + 4*x. Suppose 7*z = f + 2*z - 5, -5*f = -z + 23. Sort x, -2, f.\nAnswer: f, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2607743337 to the nearest one million.\nAnswer: 2608000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 16 - 8 = 0. Suppose 83 = -6*d - 85. Calculate the lowest common multiple of k and ((-231)\/d + -7)*4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-954)\/(-14))\/(-3)*14693\/(-6297)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - 37 - (1 - (0 + 5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 11:17 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1989569 - 0.1544\nAnswer: 1989568.8456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 596 a factor of 3398234060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011\/74 at most as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -291, -660, -1203, -1926, -2835, -3936, -5235?\nAnswer: -6738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4844 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -293, -280, -267, -254, -241, -228?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14616 by -1624.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h. Let r(i) = -3756*i. What is r(n(f))?\nAnswer: -18780*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 9*w**2 + 16*w**2 + 16*w**2 - 5 + w**2.\nAnswer: 24*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2015158608 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 2 (b) 0.3 (c) -0.22 (d) -34 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -151. Calculate the common denominator of -3\/10 and (-1 - 2)*(-118)\/p.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 36149?\nAnswer: 36144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-5)\/(r\/(r*r*r**5*r)))\/((r\/(r\/(r\/(r*(r\/(r**(-5)*r*r))\/r))))\/r*(r\/(r*r\/(r**(-2\/11)\/r)*r))\/r))**(-1\/7) assuming r is positive.\nAnswer: r**(-16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210 - -20121102020?\nAnswer: 20121101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, y: 11}. Give prob of picking 1 d and 3 y.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddeddeddiidi. What is prob of picking 1 i, 1 d, and 2 e?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 - 6.5. Let w = 7.1 + c. Let h = w - 0.10056. What is h rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2*w + 3)*(254 + 220 + 1376) as b*w + x and give b.\nAnswer: 3700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -0*o + 10. What is the remainder when 31 is divided by (o\/6)\/(3\/99)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 102481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3)*(81\/6)\/9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10 - 32*5\/(-10)) + 10. What is the greatest common factor of a and 2066?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124057220 a multiple of 914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t = 4. Let n = t + 5. Let p be (-2)\/(-7) + 267\/42*2. Solve -4*c - p - n = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 26*u**2 + 365*u + 27. What is the remainder when 180 is divided by o(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 666, 158?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -4. Let f = o - 1. Let h = -2.43 - -3.43. Which is the nearest to 2\/7? (a) h (b) 1\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(3 + (-95)\/25)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3227 - 1410. Let z = n + -1816.9998729. Round z to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9882 or -9891?\nAnswer: -9891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 7*n**2 - 11*n - 31. Give g(8).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/(-15) - (-2496120)\/200?\nAnswer: 7, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/2 + (-45)\/18. Find the first derivative of -14*k + 10 + 3*k + 7*k + g*k wrt k.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 243*i*w**2 + 404*w**2 wrt i?\nAnswer: 243*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(486\/20)*(-1)\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + (31 - 92) + 13.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(2\/(-24))\/1. Let h(s) be the first derivative of 0*s - m*s**3 + 2 - 1\/2*s**2. Determine a so that h(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -122*v + 2*v**4 + 122*v - 6 + (0*v + v - 2*v)*(-2*v**3 + 3*v**3 - 2*v**3).\nAnswer: 3*v**4 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21233939647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 8:33 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -10, -52, -1 in ascending order.\nAnswer: -52, -10, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/3 (b) 2 (c) 217920274\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111011321 (base 4) in base 8?\nAnswer: 250571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3\/5 + 57*k**2\/5 - 168*k + 784\/5 = 0 for k.\nAnswer: 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 471*k - 243*k = 684. Solve 0 = -t - k*p + 3, -5*t - 6*p - 18 = -2*p for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4815?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/299 and -2 + (-88)\/(-40) + 694\/(-20)?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 303478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2) + 8\/(-16) - -5. What is the second derivative of t**4 + 0*t - 913*t**5 + 1 + 905*t**l - 2*t wrt t?\nAnswer: -160*t**3 + 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 1. Let j be b(1). Suppose 2*t - 4*t + 4*g + 44 = j, -g + 10 = t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 0*g + 10, u - 317 = -4*g. Calculate the remainder when 306 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + g - 6, 2*n - 3*g = g - 14 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -4 + ((20 - 10) + 14 - 111).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*r - 14 = 0, 8*t = 3*t + 5*r. Let w = 2 + t. Suppose w*j = -5*j. Solve 5*q + 12 = f + f, 5*f - 2*q - 9 = j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8a8 + 176bca?\nAnswer: 177694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 652 divide 39322772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 y, and 1 o when four letters picked without replacement from {t: 1, o: 1, g: 1, y: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.9 + 3. Let k = 1 + -0.7. Let u = 21 + -21.1. What is the closest to u in 2, k, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x\/(x\/(x**0*x*x))))\/x)\/(x\/x**(4\/39)))\/(x**(-35)*x**(-30)))**32 assuming x is positive.\nAnswer: x**(77504\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -61 and 43159480.62499?\nAnswer: 43159541.62499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 81.9\nAnswer: -245.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1542*g - 9. What is the hundreds digit of a(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 12 + -5)\/(-10). Which is the closest to n? (a) -3 (b) 5 (c) 6\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35148868.\nAnswer: 2, 8787217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -121*r**5\/5 - r**2\/2 + 76*r - 270. Find the first derivative of y(t) wrt t.\nAnswer: -484*t**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -450 + 2346. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-1134)\/(-15)) - 4\/(-14)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 8*k - 8. Let h(a) be the third derivative of 0*a + 0*a**3 - 4*a**2 + 1\/24*a**4 + 0. Let p be h(-6). What is f(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/(-2*(-9)\/495). Let y = 497 - g. Solve 4*o + 40 = -4*z, -y*z - 4*o = -3*z + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, q: 2, y: 1, n: 1}. Give prob of picking 1 n, 1 a, and 1 y.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 115*p - 3018. Let t be u(137). Let r(n) = -6*n - 16. Give r(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 43722 = 3*v - g, 4*g = -4*v - 58296. Let a = -7048329\/484 + -7352\/363. Let i = a - v. Calculate the common denominator of i and 68\/33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*n - 1538 = -173 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -25. Let j be (-10)\/(-1)*((-15)\/(-2))\/15. Let c = -17 + 118\/7. What is the nearest to -1\/2 in j, c, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z*z\/((z*z*(z**(1\/2)*z)\/z*z)\/z))\/z)**38*z**(-5)\/(z*z*z\/(z\/((z**1\/z)\/z))))**(-39) assuming z is positive.\nAnswer: z**(-507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.2 - -54.8. Put a, -1, 3\/2 in descending order.\nAnswer: a, 3\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 7\/2*l**2 - 1\/12*l**4 - 19*l + 5\/6*l**3 + 0. Determine a(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745693372?\nAnswer: 2, 17, 10966079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 100 divided by -50\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 5*b**2 + b - 5. Let q(c) = -c**3 - 3*c**2 + 3. Let f be (-3 - -2)\/((-2)\/(-10)). Give f*q(w) - 3*k(w).\nAnswer: 2*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 5*r = -5*r + 5*n - 53, 42*n = 41*n + 5 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*r**4\/5 - 1174*r**3\/5 + 874086*r**2\/5 + 166805712*r\/5 - 8351208 = 0. Calculate r.\nAnswer: -246, 1\/4, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 380, 271, -1038, -4147, -9656?\nAnswer: -18165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/10)*a**(1\/4))**(15\/4)*(a\/(a\/a**(-1\/4)))\/(a*a\/a**(-2))*a**(-8)\/(a*a**(-5)*a) assuming a is positive.\nAnswer: a**(-151\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*b - 16*b**5 - 10*b + (0 - 1 - 1)*(-2*b + 4*b + 0*b)*(-b**2 - 2*b**4 + b**2).\nAnswer: -8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9160*t + 1717874 - 572874 for t.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.934 + 2.853. Let b = 0.081 + m. Let s = 4.91 + 0.09. Sort s, b, -0.1, 0.01.\nAnswer: -0.1, 0.01, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64007909?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 6396474.\nAnswer: -6396471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4720\/24 - (-5)\/(-3))\/1. Solve 5*z - 185 = -k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17212957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/10*(-10)\/(-3). Let g = b + -5. Let s be (-1 - 1)*30\/(-12). Solve -3*r + 21 = g*k + 9, s*r = -2*k + 17 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 10:02 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 < -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*d + 1131 = 0, 3*d = w + 2*w - 3357. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {k: 3, b: 3, d: 1, w: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 7. Let s(b) = -3*b - 18. Let p(r) = -2*s(r) + 5*u(r). Let k(t) = 4*t - 6. Calculate k(f) - 3*p(f).\nAnswer: f - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/134)\/((-558292)\/294532).\nAnswer: 1\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*l**2 - 273*l**3 + 69*l**2 + 170*l**3 - 9*l**2.\nAnswer: -103*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 375 (base 10) to base 8\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k**2 + 175*k + 325. Let w be o(-23). Solve 37*f - j = 42*f - 28, 4*f = -w*j + 29 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 0.1, 0.09, -0.055?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10629 and 290.\nAnswer: -3082410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -85*q - 928. What is u(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344*t**2 - 1 + 0 - 47*t - 582*t**2 - 79*t.\nAnswer: -926*t**2 - 126*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2240 (base 9) in base 12?\nAnswer: b60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 4, 0 = -2*w - 48*h + 52*h + 20. Solve -2*m + 9*t - w*t + 4 = 0, 0 = -m + 4*t + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1491 is divided by 57.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -12143*j**2 + 32*j + 46. Let z(p) = -12142*p**2 + 30*p + 43. Let d(m) = 15*i(m) - 16*z(m). Let r(u) = -u. Determine d(r(q)).\nAnswer: 12127*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 7*h**2 + 4*h + 4. Let p be j(8). Let k = 54 + p. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8826324.8 and 0.1.\nAnswer: 8826324.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 0.151 (c) 0.1 (d) -48.46 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -5 (c) -2 (d) 8\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**3 + 220*x**2 - 71*x - 144. Determine s(73).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 - l**3 + 3*l**3)*(0*l - 1 - 4*l + 3*l) + 14*l**4 - 12*l**4 - 8*l**4.\nAnswer: -4*l**4 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*m - 71*m + 237 - 39. Solve -4*u + 3*b = -23, 0 = m*u + 4*b + 1 - 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j. Let c = 5 + -2. Let z(n) = n**3 - 3*n**2 + n**2 + 5*n - 2*n. Suppose -6*x - 2 = -8*x. Calculate c*o(d) + x*z(d).\nAnswer: d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51034*u**4 + 1304*u**2 + 60815878*u?\nAnswer: -612408*u**2 + 2608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 + -18 + 1 + 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 970087.1 centuries in decades?\nAnswer: 9700871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)\/(1*sqrt(1440)))\/(-5*sqrt(360)*-3))**2.\nAnswer: 1\/388800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**2 + n - 1. Let y = 48 + -94. Let w = y - -44. Calculate i(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/(((-2618)\/70)\/(-11))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11592039?\nAnswer: 3, 1451, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.07693 and -5094.\nAnswer: -5093.92307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 5*u**3\/3 + 7*u**2\/2 + 5*u + 13. Let k(d) be the first derivative of h(d). Find the first derivative of k(f) wrt f.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 483 - 11.\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -758 + 760. Let k(f) = -20*f - 558*f**n + 7*f + 248*f**2 + 13*f. Let a(b) = -2*b**2. Calculate a(k(m)).\nAnswer: -192200*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -45, -104, -207, -366?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*3*-2 - (sqrt(114) + 3*sqrt(114)*3 - sqrt(114)))\/(-5*sqrt(294)*5).\nAnswer: 3*sqrt(19)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1122143*f**2 + 162*f**3 + 1122143*f**2.\nAnswer: 162*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - ((-3 - -4) + 2)) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + n - 8, 152*y - 71*y - 71*y - 4*n + n = -14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 323*z**2 + 14*z + 21. Let w be l(-4). Let f be ((-58)\/w)\/(1\/27). Is -1 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 <= -87067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001141 rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 11909.222.\nAnswer: -35727.666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + 2*n**2 + 4*n**2)*(9*n**2 - n + 30*n**2 + 21*n**2).\nAnswer: 540*n**4 - 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 4 (b) 1.23 (c) 1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2228 = 4*c + h, 3*h + 2802 = -39*c + 44*c. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 5*m**4\/6 - 4078*m. Let d(l) = -697*l**2. What is d(a(n))?\nAnswer: -69700*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1212092 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1096516 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: What is the derivative of -38251*r**2 + 133*r**3 + 38251*r**2 - 346 + 7 wrt r?\nAnswer: 399*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -20*w - 12. Calculate the remainder when p(-3) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 2*p - 3 + 3 + 2*p - p + 3*p - p - 4*p + p - p + (2 + 2 - 2)*(p - p - p) - 2*p - 2 + 2 - 536*p - 5298 + 5298 to the form u*p + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 - 28*a + 32. Let t be s(13). Suppose -4*i = t*i - 30. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 35844 (b) 0.5 (c) -0.039 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/4 - (-3 - -6) - (-30030)\/(-39468)?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.624um in kilometers?\nAnswer: 0.000000096624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/6 + 5125*u**2\/6 - 27253*u\/2 + 25545\/2.\nAnswer: -(u - 5109)*(u - 15)*(u - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2*(-11)\/(-33). Which is the closest to -3\/5? (a) p (b) 0.1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/((p\/(p\/((p\/(p*(p\/((p\/(p*(p\/(p\/(p*p\/(p\/(p**4*p))*p*p*p))*p)\/p))\/p*p))\/p*p*p))\/p*p*p)))\/p*p))*p)**(-10\/9))**7 assuming p is positive.\nAnswer: p**(560\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-9)\/j**(-21))**(-8) assuming j is positive.\nAnswer: j**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 80*l. Let v(d) = -2854*d**2 - d + 2. What is v(f(y))?\nAnswer: -18265600*y**2 - 80*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29978441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -47*t**5\/60 + 745*t**3\/6 - 2*t**2 + 463*t. Differentiate z(i) wrt i.\nAnswer: -94*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 - 5.5486955332\nAnswer: -5.4886955332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 42*o**2 - 54*o - 463. What is the units digit of r(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -61*g**4\/2 + g**3\/3 + 441*g + 510. What is the first derivative of r(l) wrt l?\nAnswer: -366*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 39 = 3*l. Let f be (-13)\/5 + 4\/l. Is (1\/f)\/(4\/(-156)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 12:44 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 456108 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*d**2 - 7*d - 2*d**2 - 3525 + 16*d**2 + 8*d to m*d + n*d**2 + t and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 9*t. Let k(o) = 53*o. Let z(r) = -k(r) - x(r). Let m(b) = 7*b**2. Give m(z(c)).\nAnswer: 26908*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -444*z. Let j(i) = 47179*i + 47177*i - 94356*i + 2*i**2. Determine t(j(q)).\nAnswer: -888*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*(12 + -16) + (-168)\/(-12) + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5591081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*c - 218, 3*v - 221 = 4*c + 31. Let u = c - -1236. Is u a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2 + (-2 + 3 + 1)*(-1 + 0 - 1)*(-13 + 21 - 79)*(-2 - 5 + 1))*(3*c - c - c).\nAnswer: -1703*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.12 + -2.28. Let w = 5 - t. What is w rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-3)*(-1)\/2. Let c(u) = u**3 + u**2 + 23. Let p be c(0). Let k = p - m. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 192 = -3*d + 45, 0 = -4*a - 3*d - 267. Calculate the least common multiple of (a\/14)\/(6\/(-8)) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i + 35. Let k(q) = -q - 7. Let v(x) = -2*b(x) - 11*k(x). What is the remainder when 4 + (1 - 0)*-2 is divided by v(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*o = 91*o + 4*k + 19, -5*o + 28 = -3*k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-2\/13))\/y)\/y)**(-44)*(y*y*y\/y**0)\/y**12 assuming y is positive.\nAnswer: y**(543\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/17))**15\/(n**(2\/5))**48 assuming n is positive.\nAnswer: n**(-1482\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10821 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 25104 divided by -4184\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1087634*o**3*t**2 + 1154*o**3 - 160*o + t - 2 wrt t.\nAnswer: 2175268*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, b: 19}. Give prob of sequence kb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 1964*y + 1965.\nAnswer: -(y - 1)*(y + 1965)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.9 - 1.9. Let h = y + -5.2. Let r = 1.8 + -2.3. Sort 3, r, h, -1.\nAnswer: -1, r, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 25*l**2 - 36*l - 3. What is b(2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46925 by -25.\nAnswer: 1877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t. Let h(w) = -20259*w - 49. What is m(h(l))?\nAnswer: -40518*l - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3 = n, 0 = -2*s - 2*n - 4. Let r(c) = s - 1 + 1469*c - 1468*c. Let u(w) be the third derivative of w**4\/12 - w**2. Calculate u(r(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from ppeeeee?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6188*n - 6146*n + 11944*n.\nAnswer: -390*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 558 divided by 2.\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -866, 1, -23, 3, 2\/5.\nAnswer: -866, -23, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 2*v + 3*f, -5*f - 39 = -4*v + v. Suppose 8 = 4*h - 0*h. Calculate the greatest common factor of h and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 32*n**2 + 32*n + 36. What is z(33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -50*a - 5. Let c(i) = -2*i. Give b(c(v)).\nAnswer: 100*v - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -213 not equal to -213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -279*(-2718)\/21 - (-6)\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/189 - (-5 - 268\/(-70))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 4. Let h(q) = -4*q**2 + 5. Let r(l) = h(l) - 3*o(l). Let v(p) = -7*p**2 - 5*p - 15. Determine 5*r(t) - 3*v(t).\nAnswer: t**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3589 and 55204?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 80693 + 5?\nAnswer: 80698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(18)\/sqrt(36) + 4.\nAnswer: sqrt(2)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.27 at most 3.516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 466407.7 millimeters?\nAnswer: 466407700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*x + 40. Suppose -86*y - 95 = -91*y. What is the lowest common multiple of x and y?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169.392 less than 25919?\nAnswer: 25749.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2 = x, 3*n + 12 + 4 = 5*x. What is the smallest common multiple of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459184 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11100101101111 (base 2) to base 6\nAnswer: -152023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4487 rounded to two decimal places?\nAnswer: 2.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6154.\nAnswer: 2, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4.03. What is the smallest value in -2\/17, 10, w?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pz when two letters picked without replacement from pzhzphfsffppjpsphhss?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -160.24733 to the nearest integer.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2*t**(-5)*t)\/(t\/(t\/t**(-2\/15)*t))**1 assuming t is positive.\nAnswer: t**(-13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, r: 17}. What is prob of picking 2 k?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2568019*o**4 - 10724866*o wrt o.\nAnswer: 30816228*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1250 + 300 - 290)*(-3*z**2 - 2*z**2 + z**2) to the form d*z + n*z**2 + o and give n.\nAnswer: -5040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 184, 630, 1336, 2302?\n\"Answer: 130*a**2 + 56*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(3\/4)*q**15\/q*q**(-18)*q**4*q assuming q is positive.\nAnswer: q**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*y - 33 = 0, -7 = -4*d + 2*d - 5*y. Suppose 0 = -4*k + 3*c + c, 3*c = -3*k + d. Which is smaller: k or 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**2\/2 - 11*r - 4. Let j be m(13). Suppose -v + 2 = -j. Calculate the lowest common multiple of v and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-164)\/6 + (100\/(-1150))\/((-42)\/161).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7c3 (base 16) in base 14?\nAnswer: a1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -208747 equal to 0.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 163841652 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minus -0.0209?\nAnswer: 115.0209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11.142 and -0.4?\nAnswer: 4.4568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2 + 31504*t - 7906497 = 0 for t.\nAnswer: -31753, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -68, -98, -128?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-252)\/(-154))\/((-9)\/(-132)))\/2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/14)\/(2\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -23 - (10 - 3)) + (-13 - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, f: 6}. Give prob of picking 3 f.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 143 + 4b?\nAnswer: 18e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -2\/5, -76, -4, 1\/4?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*k = 65*k + 43*k - 3770. Solve -7*a + 18 = -4*a, -4*a = -t - k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 21*s**2 + 2*s + 13. Let q be n(-21). Is q > 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*v - 4\/5 + 3\/10*v**2 + 1\/10*v**3.\nAnswer: (v - 2)*(v + 1)*(v + 4)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35.016 + -35. Let u = z - 0. Round u to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22308 and 198?\nAnswer: 66924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010543337 rounded to six dps?\nAnswer: 0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 8*q**2 - 10*q + 94. Give x(10).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -211 divided by -6834.\nAnswer: 211\/6834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 3*h + 14, -q + 2*h + 1 = 4*h. Suppose q*n = 2*i + 143, -3*i - 2*n - 272 = 2*n. Round i to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**5 - 24*k**4 + 56*k**3 - 64*k**2 + 36*k - 8.\nAnswer: 4*(k - 2)*(k - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(153)*-5)\/(sqrt(144) + 5*(sqrt(144) - (sqrt(144)*-1 - sqrt(144)))).\nAnswer: 5*sqrt(17)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 705\/4*i + 477\/4*i**2 - 12*i**4 + 75 + 6*i**3 = 0. Calculate i.\nAnswer: -5\/4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 438 + -438.3. Which is the biggest value? (a) 5 (b) 3\/2 (c) u (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 5. Let v be d + (-1)\/((-3)\/(-12)). Let j be (-4)\/(-8)*v*-5. Is j equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 4.5. Let z = -814 + 1036.4. Let o = 222 - z. Which is the biggest value? (a) 1\/6 (b) j (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 5*j**3 - 816060*j**2 + 11423785*j + 12239850 = 0.\nAnswer: -1, 15, 163198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-35))\/((-52)\/(-650))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**6\/50 - 13*a**4\/10 + 15*a**2\/2 + 3*a - 49. Let l(o) = 0. What is o?\nAnswer: -5, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 + 18*g**2 + 80*g**4 - 22*g**4 - 22*g**4 - 34*g**4 + 4 - 52*g**2 as o*g**2 + v*g**4 + u*g + b + t*g**3 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6) - (-286)\/(-39). Let g be (-18)\/3615*(0 + -82). Let x = g - 2\/241. Is s greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - p + 15. Suppose -4*j - 3*q = 6, j - p*q - 10 = -j. Suppose y - 4*u - 91 = j, 0*u = 5*u - 25. Does 28 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 - -88. Suppose 4*t - 16 = 4*a, 6*t - t - i = -a. Let b(m) = m**2 - 4*m - 2. Let o be b(t). Solve -o*z = -0 + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -27*r**2 + 39*r - 2. Calculate n(2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n. Let m(x) = -5306 - 5303 - 69*x**2 + 10609. What is m(q(r))?\nAnswer: -621*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 488159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1179 or 20058\/17?\nAnswer: 20058\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*x - 1 + 96 = 719 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*10\/(-8))\/((-30)\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 796 is divided by 94?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -98*i**2 - 3*i**3 + 62*i**2 + 51*i**2 + 2*i**3 + i**2 - i**2 + (-4*i**2 - 6*i**2 - i**2)*(2*i + 0*i - 3*i).\nAnswer: 10*i**3 + 15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 1 = 5*x. What is the second derivative of 1 + r**3 - x - r + 3*r wrt r?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 - 3)*(1 - 1 - 3)*(-j**4 + j**4 - j**4) in the form k*j**2 + q*j + d*j**3 + n*j**4 + t and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262342 (base 9) to base 5.\nAnswer: 20043303","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 25446*d + 17960355.\nAnswer: 3*(d - 7705)*(d - 777)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3616 - (6 + -110)\/8. Which is the closest to v? (a) 1\/4 (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/12*(-478)\/1673*(-225)\/(-2).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 6 = 2*n. Suppose -3*p - 21 = -3*k, -p + 4*p - n = -2*k. Does -3 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**3\/5 - 2865338*c**2\/5 + c\/5 + 2865338\/5 = 0.\nAnswer: -2865338, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g - 900*g**2 + 454*g**2 + 444*g**2.\nAnswer: -2*g**2 - 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16160437 to the nearest integer?\nAnswer: 4020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*w**3 - 2*w**2 - 21*w wrt w?\nAnswer: -18*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-360 - -351 - (-14 - -1)) + (9 - (0 - 0)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1154 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -1\/3, 13, 0.5 in decreasing order.\nAnswer: 13, 2\/3, 0.5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from vdyvvdddvc?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + g + 0)*(-14 + 0 - 21).\nAnswer: -35*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 73.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*-1*(-4)\/6. Suppose -29 = -n*x - s, s + 6 = -x + 2*x. Let g be 1 + x - (-2)\/1. Calculate the highest common factor of 70 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17253)\/(-24) - 2\/1. Let s = l + -716. What is the common denominator of s and -95\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 - 39. Let w be 0\/a + (-17 - 2). Let x = 3 - w. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -6. Let r(p) = 5 + p**3 - 1 - 3*p + 7*p**2 - c*p**2 - 2. Calculate r(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 0.86937.\nAnswer: -0.36937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -42861725 divided by -25?\nAnswer: 1714469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 170\/(-45) - (-8)\/(-36). Let a(h) = h**3 + 4*h**2 + 2. What is the smallest common multiple of 8 and a(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 416*g**4 + 227*g**3 - g**2 - 8933385*g wrt g.\nAnswer: 4992*g**2 + 1362*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 109769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111 (base 2) to base 14.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20094.314 + 20095. Which is the nearest to j? (a) -13 (b) 1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c - 80. Let m be k(-14). Calculate the remainder when 29 is divided by 5*m*(-24)\/150.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -347707\nAnswer: 1\/347707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(2*c + 4 - 4) - 2*c - 2*c + 2*c + 1 - 1 + 2*c + (0 + 4 - 2)*(-2*c + 2 - 2) - 2*c + 2 - 2.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -742\/5 + 148. Sort -0.5, -0.15, 0, r in descending order.\nAnswer: 0, -0.15, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -d + 8607, -19*n + 14*n + 5*d = -10765. What is the remainder when n is divided by 154?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11813 - -11845. What is the highest common factor of d and 4624?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 63*t + 110. Give a(-7).\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z = -c, -4*z + 3*z - 12*c + 14*c = 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**3\/j*j**(-1\/12)*j*j\/(j**(2\/7)\/j)*j**(2\/21)\/j assuming j is positive.\nAnswer: j**(313\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**2 - 3*w**2 - 441*w**5 - w**2 + 0*w**2 + 832 - 459*w**5 wrt w.\nAnswer: -54000*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 19959*y = 19952*y - 70 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 513322 + 5?\nAnswer: 513331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -474 + 478. Solve -2*f + 0*f - z = -v, 24 = -3*v - 3*f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7280982 divided by 22266?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - i - 5 = g, 3*g - 4*i + 35 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3493*q**2 + 3447*q**2 + 0*q**2 + 6610*q**2 + 12685*q**2 in the form b*q**2 + w*q + x and give b.\nAnswer: 26235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 14. Let f be g(-12). Let v(u) = -40 - f*u - 4*u + 40. Let y(n) be the third derivative of n**5\/60 - 9*n**2. What is y(v(m))?\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - m + 108, 2*l + 2*l + m = 87. Let w be l\/7*8 + -3. Solve 11 = 4*q + i, -i + 4 = -3*q + w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 16 = -25 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeiiieee. What is prob of sequence ii?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -232 - -223. Let m(c) = -42*c - 108. Let q be m(o). What is the highest common divisor of 54 and q?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 59, 414, 1357, 3176, 6159, 10594, 16769?\n\"Answer: 48*g**3 + 6*g**2 + g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o = -25*o - 135. Let f be 18\/o*113\/(-2)*-3. What is the second derivative of -118*z + 21*z**2 + f*z + 14*z**2 wrt z?\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjg when three letters picked without replacement from jjgjoooijggjijjjg?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 1. Let q(g) = 23*g + 1. Let z(h) = 2*j(h) + q(h). Let s be z(0). Solve -2*n - 5 = -5*b + 4*b, 0 = 4*b + s*n + 35 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -168*w + 573. What is the units digit of u(-25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1051*3800.\nAnswer: -3993800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1766\/6 - 2\/(-3). Let f = u + -206. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 2*r - 7. Let b(y) = 10*y**2 - 5*y - 114. Let a(p) = b(p) - 11*u(p). Give a(16).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 258 and 289 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-24))\/(-4*4\/16)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {c: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 66 - 54. Let c = -18 + s. Which is greater: 7 or c?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134815 is divided by 218?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 16 = -10*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 485 or 483?\nAnswer: 485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 11*p - 1. Let h(c) = 4736 - 4736 - 2*c. Calculate 6*b(v) + 34*h(v).\nAnswer: -2*v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -580 = 6*z - 11*z. Let c = 116 - z. Solve 2*w + 3*h + 5 - 3 = c, 2*w - 12 = 4*h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 11\/((-44)\/36). What are the prime factors of (-53*(-6)\/l)\/(18\/96)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.2 - 0.0787.\nAnswer: -12.2787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/9 in -0.29, 5, -0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1482182554 - -3.\nAnswer: -1482182551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 90269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 44, -1\/21, 2, -6\/11, 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-4 + 8)) + (14 - 23)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -132*i. Let o be 1\/4 + (-21)\/(-12). Suppose -2*c + 0*c - o = 0. Let f be w(c). What is the greatest common factor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 9:51 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1112*l**2 + 3*l - 7279?\nAnswer: 2224*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b. Let k(x) = 14*x + 3. Let s(z) = -15*z - 2. Let q(l) = -2*k(l) - 3*s(l). Calculate j(q(p)).\nAnswer: -34*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-17 + 18)\/(12\/28)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 289 + -210. Find the second derivative of -1 - y*s + 1 - 314*s**2 + 272*s**2 wrt s.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -860 + 118?\nAnswer: -742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 6*d**4\/5 + 380186*d**3\/5 - 1013858*d**2\/5 + 887134*d\/5 - 253468\/5 = 0.\nAnswer: -63367, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*p - 1334538. Let f = 22682625\/34 + p. Let n = f + 133. Is n < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h - 2. Let d be -1*4\/2*(-5 + 4). Suppose -4*s + 2*g = 34, g + 15 = -4*s + d*s. Is t(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -309746.96 to the nearest 10000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 290*b + 1458, 0*b + 3*a = 3*b + 76 - 55 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 2*n - 4*d - 175, 105 = -3*n + 2*d. List the prime factors of (6\/(-5))\/(2\/n).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wucyoeyw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22539*m**3 + 2810*m**3 - 6*m + 6*m.\nAnswer: -19729*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 403065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 842729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/17 (b) 2\/7 (c) -3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -62.\nAnswer: 18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (119*y**2 + 2 + 8*y**2 - 6)*(0*y + 0*y - 7*y).\nAnswer: -889*y**3 + 28*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 + 3*p - 5. Let z(y) = 5*y**3 - 9*y + 14. Calculate 8*k(g) + 3*z(g).\nAnswer: -g**3 - 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**11\/h**(-5) assuming h is positive.\nAnswer: h**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(968) + sqrt(968) - sqrt(968)) + sqrt(968) - sqrt(968) - sqrt(968))\/(sqrt(324)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -6, -4, -0.52, 2\/3, 2\/77 in descending order.\nAnswer: 2\/3, 2\/77, -1\/3, -0.52, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i. Let n(r) = -2*r**2 + 6. Let f be (-4)\/2*(-10)\/(-4). Let c(d) = -2*d**2 + 5. Let a(g) = f*n(g) + 6*c(g). What is m(a(l))?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.75398 to 1 dp.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -17 - (6 - -5)) + 0 + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 14*n**2 - 41*n + 408. Determine g(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/20)\/(0 - 2\/5). Which is the smallest value? (a) -4\/7 (b) w (c) 0.016\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 1895\/705) + (-12)\/9. Which is the closest to 1? (a) j (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 676576472 to the nearest integer?\nAnswer: 26011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 666259656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-41)*27\/(-18))\/((-33)\/88)\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 856.975 + -858. Round v to two decimal places.\nAnswer: -1.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/1 - (1 - 17). Let y be z\/(-3) - 2\/3. What is the units digit of (y\/2)\/((-3)\/18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 0*j + 2*j - j. Let k(a) be the third derivative of 1\/12*a**4 + 0*a + 15*a**2 + 0 + 0*a**3. What is g(k(t))?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000727006 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 1028 = 11*d - 2*x, -d = 5*x - 184. Let m = d - 196. Calculate the greatest common factor of 28 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-105))\/(-5*(-4)\/(-350)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -7690 and -7536 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 54\/(-13) + 16\/104. Let z = -65 + 64. Which is the nearest to -1? (a) 3 (b) z (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -1. Suppose b = -3*i - 22, -2*b = b + 2*i + 66. What is the third smallest value in y, 0, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u + 0*u + 2*u)*(-9418 + 53221 - 4835 + 35400 + 32044) in the form w*u + a and give w.\nAnswer: 212824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -1545300234?\nAnswer: -1545300232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 79 = -10*x + 9*x, i - 5*x - 45 = 0. Solve 5*j + i = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -18*r**2 + 99*r - 185. Give y(2).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - n**2 + n + 42. Let y be v(0). Suppose 10*c = 8*c + y. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -6798 (c) 2\/7 (d) 830 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**8\/6720 - t**7\/420 + t**6\/360 - t**5\/20 - t**4 + t**2 + 5. Let w(k) be the second derivative of a(k). Calculate w(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + -3 - -5) + -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 5:32 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 102 (b) -3\/2 (c) -1 (d) 5 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 9*k**2 + 8*k + 2. Let y be z(-8). Suppose -2*r - y = 0, 2 - 19 = -4*u - 3*r. Let b = u - 2. What is the smallest common multiple of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b. Let u(r) = 3*r**2. Let i be 9 + (-4)\/2 + -2. Let z(h) = 3*h**2. Let q(s) = i*u(s) - 6*z(s). Give l(q(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(0 - -2) - 9) + 10. Suppose -5*f + 3*f - 2*d = -1510, -r*f + 2*d + 3747 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5628.301s to microseconds.\nAnswer: 5628301000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/17 (b) 5 (c) 0.1 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-765)\/(-102)*(-2)\/5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 4*x + 5. Let z be w(-4). Suppose -z*l - 5*b + 100 = 0, -3*b + 16 = 1. Calculate the remainder when l is divided by (-2 - 0)\/(1\/(-12)*3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 417058 - -378?\nAnswer: 417425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j**2 + 109*j - 18. Let t be f(-16). Let s be t\/6 + 1 + -1. Solve 4*a + 4 = -c, 0 = s*c - 2*c + 4*a + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*a = 125*a + 752. Let h = -14 - -21. Calculate the lowest common multiple of a and h.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2263442 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.7 and 1100.\nAnswer: -1870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 3550195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 5*g + 4*m - 14, 10 = 3*g + 2*m. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - 2*k**2 + 6*k**2)*(-49*k**2 + 238 + 316*k**2 - 239).\nAnswer: 534*k**4 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 + 4*z + 5. Let t be d(-5). Suppose 59 + 25 = 14*k. Determine m, given that 5*m**2 + k*m**3 + t*m**4 + 4*m**2 - 38*m**4 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14a27 (base 11) in base 16?\nAnswer: -52d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 3. Let s be r(-7). Suppose 2*f + s = 28. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -3. Suppose -q = f - 2. Find the common denominator of 56\/11 and 2 - 158\/6 - q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82985753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**5\/60 - 5*l**4\/24 + l**3 - 7*l**2. Give v(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 3:30 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3 + 46796*v**2 + 11801902*v - 23791004 = 0.\nAnswer: -23143, -257, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30130107459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.46 + -2.4. What is the biggest value in 2, i, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3104005 and 27719.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 858153 is divided by 107267.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -17. What is the greatest common factor of t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b77 (base 13) to base 7\nAnswer: -15053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-2 - 1)\/(-75)). Let h = k + -11. What is the remainder when h is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -19. Calculate the common denominator of -71\/6 and 6\/t - (-1222)\/(-120).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 2. Let s = d + 0. Suppose 4*t = -4*j - 8, 4*j = -16 - 0. Sort t, s, 3 in increasing order.\nAnswer: s, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 31*w**2 - 27*w + 137. Determine v(-32).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -57236.1909 rounded to the nearest one thousand?\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 6*z**2 - 3*z - 2. Let s be k(3). Suppose 5*d - 5*y = -10*y - 15, -3*y = -4*d + s. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37427227, 74854461, 112281709, 149708977, 187136271, 224563597, 261990961, 299418369?\nAnswer: 336845827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-25)*(-350)\/42?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -10 + 8 - (8 + -14)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0741 and -4515.\nAnswer: -334.5615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10}. What is prob of sequence hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 (base 6) in base 11?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -246, -3\/7, 3, 3\/2 in descending order.\nAnswer: 6, 3, 3\/2, -3\/7, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 635203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(39)\/sqrt(3)*5.\nAnswer: 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/2)\/(37820\/(-496)).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, b: 1, f: 1, m: 2, l: 1, j: 2}. Give prob of sequence tlbf.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 14*l**3 - 41*l**2 - 5. Let r(g) = -8*g**3 + 21*g**2 + 3. What is 5*r(h) + 3*u(h)?\nAnswer: 2*h**3 - 18*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u - 1. Determine b(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*i**2*p**2 + 1265*i**2*p + 11*i**2 + 477*i*p - 153*i + 5382 wrt p.\nAnswer: -10*i**2*p + 1265*i**2 + 477*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 16 = -8. Sort -4, 2, n in increasing order.\nAnswer: -4, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476\/84 - (-6)\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 17 + 1. Suppose 0 = -3*j - 3*v - 9, -5*j + 3*v + 25 = -0*v. Solve -13 = 3*a + j*o, -f*a - 23 = -a + 2*o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -76.52 from -80.03716713.\nAnswer: -3.51716713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4156*v**4 - 5*v**2 + 2*v - 44 wrt v?\nAnswer: 99744*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21814817881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 624 + 3567 = 5*c, -c - 2*b + 827 = 0. Calculate the greatest common factor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 4925283.\nAnswer: -1\/4925283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 2:18 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -54*r**2 - 2. Let a(p) = -12*p - 198. Let x(d) = -d + 33. Let w(z) = -a(z) - 6*x(z). Give w(v(b)).\nAnswer: -972*b**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 13*g + 5*g**2 - 11\/3*g**3 - 1\/8*g**4 + 0 - 3\/4*g**5. Find the second derivative of y(p) wrt p.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 294.7155l?\nAnswer: 294715.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -245.03 + 250. Let h = -0.03 - k. Which is the nearest to 0? (a) h (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -6427\/2215?\nAnswer: -6427\/2215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, i: 2}. What is prob of sequence ii?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 5 + 10*k - 2*k + 0*k - 2*k. Suppose 0*x - 5*x + 20 = 0. Suppose 5 = -x*v - 15. Calculate t(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1919 - -1923. What is the closest to 0.1 in -3, 0.3, h, 78?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 23 = 19. Let f = 4 + -3. Suppose 2*m - f = 19. Calculate the lowest common multiple of m and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1893783181?\nAnswer: 19, 79, 239, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-6) - (-18426)\/(-12699). Which is the closest to -1? (a) x (b) -1 (c) 3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 124.007535 + -124. Round z to 4 dps.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(10\/9)))\/l**(-20) assuming l is positive.\nAnswer: l**(170\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-70)*(-2)\/16*(-115864)\/6207.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 15*a**2 - 14*a - 27. Let q be j(16). Suppose 0 = 5*o - 3*l - 10906, -q*o + 2*l = -0*o - 10909. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2369 + -2368. Put d, 113, -4 in decreasing order.\nAnswer: 113, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -44 - (-9 + 12). Let l = w + 68. Is l a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/3))**(-15)\/(g*g\/(g*g**16\/g)*g*g*g**(-3\/14)\/g))**(-2\/65) assuming g is positive.\nAnswer: g**(-9\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/5 of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2072 divided by 2\nAnswer: -1036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -4)\/((3 + -1)\/((-1818)\/(-27))). Calculate the highest common divisor of 7373 and c.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1136031 (base 9) in base 16?\nAnswer: -960af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, 0.3, -2\/7, -2\/101?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 316.6 + -0.19.\nAnswer: 316.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - (9 + -25 + (1 - -14 - 3))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73 + 69. Sort 0, w, 4 in increasing order.\nAnswer: w, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -25*c - 10. Is 14 a factor of w(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146984967 divided by -3?\nAnswer: -48994989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -c34005 (base 13) in base 16?\nAnswer: -456d68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.62957 kilograms in grams?\nAnswer: 7629.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 86*q + 353 + 507 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 - (-3 + (-10 - (-12 + -8 - -11) - -4))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 + (-40 - 14) + (0 - 1) + 13.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 987083648?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/15*(-1234)\/4319.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3603426, 3603404, 3603382, 3603360, 3603338?\nAnswer: 3603316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*f - 2 = 0, 5*f - 3*f = 8. Let g(o) = n*o + 0 - 1 - 4 + 0. Is g(4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*m - m. Let d(y) = -3*y**2 + 2*y - 3. Let q be d(5). Let h = m - q. What is the highest common divisor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1302)\/35*(-20)\/12. Suppose a*w = 64*w - 94. List the prime factors of w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypaypaaayaaapagayy. What is prob of picking 1 a and 1 g?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9, -162, 5, 3, -86, -4 in decreasing order.\nAnswer: 9, 5, 3, 1, -4, -86, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71 and 923?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-3)\/12*-14. Let f(y) = 7*y + 2 + 1 + y**2 - q. Calculate the lowest common multiple of f(-8) and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 10*j - 141 = 0. Is j < -142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5, -160, -471, -938, -1561, -2340, -3275?\n\"Answer: -78*o**2 + 79*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6958 (base 16) to base 10.\nAnswer: 26968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197016*o + 180 = -197007*o for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188232167 to the power of 1\/3, to the nearest integer?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/240 and -139\/1680.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 times 0.35?\nAnswer: -20.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3620, 28778, 97032, 229940, 449060, 775950?\n\"Answer: 3593*s**3 - 10*s**2 + 37*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -32. Let q(a) = a**3 - 146 + 9*a**2 + j*a + 140 + 0*a**3. Is 10 a factor of q(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/4 + 316059*p\/4 + 11702397\/2.\nAnswer: -3*(p - 105427)*(p + 74)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 11:47 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/9 - 142*k\/3.\nAnswer: 2*k*(k - 213)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 103*x - 1911. Determine l(13).\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*y**3 - 133*y**2 - 364*y**2 + 2*y**3 - 1059*y**4 - 1039*y**4 + 2060*y**4 wrt y?\nAnswer: -912*y - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-150*3\/(-4))\/(10\/20). What is the common denominator of 4\/(-6) + (-195)\/v - 0 and -8\/35?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 202, 21, -2\/7, -11\/2, 4, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 55 = -4*b, -a + 53*b = 57*b - 35. Let h be (3\/(-4) - 0)*-4. Let x be (((-15)\/(-40))\/((-1)\/(-8)))\/1. Solve -2*r + r = j - x, h*r - a = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -16. Suppose 5*g + 6 - 21 = 0. Suppose 1 = g*t + 7, 2*l - 2 = -t. Solve -5*s = -2*f - b, s = -l*f + 2*s + 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l. Let m(g) be the first derivative of -76 + 15*g**3 + 15 + 11*g**3 + 0*g**3. Determine u(m(h)).\nAnswer: 78*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 6*c**2 + 7*c. What is f(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 150028*m**2 - 64052 wrt m.\nAnswer: 300056*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -9*r**5 + 210*r**4 + 165*r**3 - 510*r**2 + 144*r = 0.\nAnswer: -2, 0, 1\/3, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 625 = -5*b, 2*b - s = -92 + 346. Let f(w) = -w**2 - 62 + b - 2*w - 68. What is f(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*i = 51*i - 5*k + 7, 0 = 3*k - 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.866, -5, -2, -0.09 in increasing order.\nAnswer: -5, -4, -2, -0.09, 1.866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 - 4*g**4 + 4*g**4 + (g + g + 0*g)*(-g - 3*g - 21*g**3 + 14*g**3).\nAnswer: -15*g**4 - 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 1924 - 1987 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 666 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 202, 284, 498, 910, 1586, 2592, 3994?\n\"Answer: 11*m**3 + 5*m + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 37. Suppose -11*v - 20 + 42 = 0. Sort l, 3, v.\nAnswer: l, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6832389*m**2 - 1077648*m**2 - 1500613*m**2 + 6809893*m**2.\nAnswer: 11064021*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5139 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 15*p - 17. Let c be i(8). What is the greatest common divisor of c and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572254?\nAnswer: 2, 17, 16831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -3 (b) -5 (c) 0.3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4279450 + 4279450.1999963. Let d = 23 + -22.8. Let p = x - d. Round p to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 26*u**3 - 27*u. Let n(l) = -13*l**3 + 14*l. Let c(k) = -7*n(k) - 4*z(k). Find the second derivative of c(q) wrt q.\nAnswer: -78*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -16. Suppose 0 = -2*b + 48 + 90. Suppose 0 = -u + b - r. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r - 4. Let s be k(-3). Solve 10 = -s*m - 3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert dda (base 16) to base 2.\nAnswer: 110111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 3*s + 15079 - 4354, 0 = -2*f - 3*s + 7125. Calculate the highest common factor of f and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1375)*-2)\/(sqrt(25)\/sqrt(80))*5.\nAnswer: -200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1013, -1018, -1035, -1070, -1129, -1218, -1343, -1510?\n\"Answer: -b**3 + 2*b - 1014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**5\/4 + 101*z**4 + 19017*z**3\/2 + 9307*z**2 - 38035*z\/4 - 9408 = 0. Calculate z.\nAnswer: -256, -147, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from phxppjhhhxju. What is prob of sequence uxjj?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from zzklzlzzzklzjzzgklj.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 4. Let n be c(-8). Find the third derivative of n*l**5 + 0*l**2 - 8*l**5 - 2*l**2 wrt l.\nAnswer: 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2195139238?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15252 divided by -93?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-40) + (-16)\/(-10). Is 6\/7 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 307069209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 659427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*f + 110 = 0, 2*f + 90 = 3*z - f. Let r = 29 - z. Calculate the highest common divisor of 20 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5401*i - 5401*i - 530*i**2 + 6 to the form m + q*i + h*i**2 and give h.\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102.19 take away 1345.9?\nAnswer: -2448.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1169505867 to the nearest integer?\nAnswer: 34198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 278574920 and 1040.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -295967*-0.7\nAnswer: 207176.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(-8) - (-1 - 1). Which is the second smallest value? (a) 4 (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = b - 489, 41 - 287 = -2*o - 2*b. Suppose -8*y + o + 198 = 0. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.806528 weeks in hours?\nAnswer: 1143.496704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = -5*c + 4*m, -9 = -4*c + m. Suppose -3*z = v - 29, -z + 72 = v + c*v. List the prime factors of v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.2 + 5.2. Which is the closest to -1? (a) 4 (b) -12 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/((-3276)\/112))\/(4\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -497 + 530. Let m be ((-3)\/2)\/(n\/44). Let g = 0.1 + -0.2. Which is the biggest value? (a) m (b) 0.05 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 6*(-2 + 3*sqrt(832) + -5*-2*sqrt(832)))**2.\nAnswer: -17472*sqrt(13) + 5062084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t + 18419 = 18115 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqpnqnqpqpqqppp. What is prob of picking 1 q and 2 n?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243253 is divided by 168.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 0*w**3 + 0*w + 12*w**2 + 1\/24*w**4 + 0. Let j(y) = 6*y - 7. Let x(p) = 3*p - 3. Let m(v) = 3*j(v) - 7*x(v). What is m(s(r))?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-1)\/(-2))*(-888)\/(-1776)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 85488 - 42742 - 42744 + 37*l + 67*l**2 as u*l**2 + x*l + q and give x.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7349.925 seconds in nanoseconds?\nAnswer: 7349925000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-345)\/(-368)*(-12)\/(-9)*4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4444943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 2 + -16 + (11 - -2).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 + 10*z**2 - 15*z - 23. Let m = -292 + 286. Let a be s(m). Let i(k) = -k**3 - 6*k**2 - 2*k + 2. Give i(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -14*c**3 + 296*c**2 + 19*c + 23. List the prime factors of n(21).\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n**3 + n**3 + 4*n**3 + (-3*n**3 + 146*n**3 - 32*n**3)*(-5 + 2 + 1) to the form s*n + m*n**2 + z + j*n**3 and give j.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1944) + -4*sqrt(1944))\/(4*sqrt(24)\/sqrt(2) + sqrt(12)))**2.\nAnswer: 1458\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 715*u + 41030. Calculate g(-63).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + 2 + sqrt(11)) + (2 + (sqrt(1584)*2 - sqrt(1584) - sqrt(1584)) + sqrt(1584))**2.\nAnswer: 53*sqrt(11) + 1593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -32, -5 in increasing order.\nAnswer: -32, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7\/14*-2)\/(1\/(-2)). Sort -1, q, -6 in decreasing order.\nAnswer: q, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**8\/168 + m**7\/35 - m**6\/60 - m**5\/10 + m**4\/6 + 315*m**2. Solve u(w) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b. Let f(g) = 589485436*g**2. Calculate f(s(h)).\nAnswer: 589485436*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3\/(3\/(-2)) + 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.3327 - 0.3107. Let x = r - 8. Let m = 0.07 - x. What is m rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2335, -8958, -19863, -35044, -54495, -78210?\n\"Answer: z**3 - 2147*z**2 - 189*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8.3 times -1.3\nAnswer: 10.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.38087 to one decimal place.\nAnswer: -30.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1052968333266 and 127?\nAnswer: 1052968333139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 808.12 to the nearest 10.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (105\/(-14))\/(5 - 50\/8) + 3199.\nAnswer: 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -493184124*f**2 + 27863203*f?\nAnswer: -986368248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*j**3 - 1\/5*j**2 + 4\/5 + 4\/5*j.\nAnswer: -(j - 2)*(j + 1)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*r**5 - 236*r**4 + 236*r**4 - 354*r**5 + 475*r - 2*r**3 wrt r.\nAnswer: -6820*r**3 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 594?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**4\/5 - 44*s**3\/5 + 138*s**2\/5 + 1144*s\/5 + 1352\/5 = 0.\nAnswer: -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + (41 + -21 - (-2 + 13)) + -4.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1568 and 456776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 10:33 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**2 - 2*s + 5. Let o be k(4). Let g = -3449 - -3508. Which is greater: g or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274.16673946 rounded to 3 dps?\nAnswer: 274.167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((108192\/630)\/(-28))\/(4\/(-3))\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.63 + 5.63. What is the smallest value in g, 0, -0.85?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333 a factor of 13070065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**4\/4 + 3*b**3 + 135*b**2\/2 - 525*b + 4125\/4 = 0.\nAnswer: -11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 4\/725?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**4 + 6*k**3 + 4*k**2 + 2*k + 2. Let y(b) = -4*b**4 - 7*b**3 - 4*b**2 - 3*b - 3. Let n(p) = -3*i(p) - 2*y(p). Factor n(f).\nAnswer: -f**2*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 + 8*u**3 + 0 + 10*u**3.\nAnswer: 18*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -7, 5 in decreasing order.\nAnswer: 34, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -568\/7, -208\/3, 0.4, -0.21?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 8:50 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) 3 (c) -60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l + 5*l - 167*l**4 + 2*l**3 + 0*l - 2 + 158*l**4 to the form g*l**3 + d*l**4 + a + u*l**2 + n*l and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*2\/(-24)*3*-7820930. Suppose 0 = 7*u + 24198607 - i. Let q = u + 7128306. Round q to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 69412*f**2.\nAnswer: 2*f**2*(f - 34706)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/s**(5\/3)))**(-28) assuming s is positive.\nAnswer: s**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 70841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 6. Let z be (-654)\/(-18) + (-3)\/9. Calculate the greatest common divisor of z and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-27)\/(-15))\/((-12)\/(-40)). Let p be 32\/l - (-7)\/(-21). Solve -2*o - 18 = 4*h, -h + 3*h + p = -5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**4\/12 - 3*n**2\/2 - 28*n. What is d(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68510924.5 - 14036.\nAnswer: 68496888.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j. Let a(z) = 26*z - 14*z - 9*z. Determine t(a(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 986407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, -2, 2, -0.045, 1310?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 20. Which is smaller: 5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28, 55, 68, 61, 28?\n\"Answer: -m**3 - m**2 + 37*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*(sqrt(98) - sqrt(98)*-1) - -3*(1 + sqrt(98) - sqrt(98))).\nAnswer: -1 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-5) + (-2)\/5. Let k = 49 - 94. Let h = -44.6 - k. What is the nearest to t in 3\/2, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p - 1. Let t(v) = -4*v. Let d(w) = -5*w**2 - 15*w + 3. Let x be d(-3). Give x*u(r) + 4*t(r).\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3025829.\nAnswer: 1051, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -644 + 646. Solve -n*k + 21 = 2*p - 7*k, -5*p + 2*k = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/(-18)*28\/20. Which is the closest to v? (a) 3 (b) 1 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**3 + 2*x**3 + x**3 + (0 - 1 - 1)*(14*x**3 - 8*x**3 + x**3))*(-106*x - 105*x + 4 + 204*x).\nAnswer: 112*x**4 - 64*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - 3 - -93) + -11?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - f - 142, 11*w - 12*f + 2*f + 6*f = -762 for w.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-39 - -87)\/(-6)*45\/72*(-3)\/5. Factor -1\/6*p**4 - 1\/3 + 1\/2*p**2 + 1\/6*p - 1\/6*p**j.\nAnswer: -(p - 1)**2*(p + 1)*(p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*h - 219*h = 552. Let r = -116 - h. What is the least common multiple of r and 342?\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 1:18 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*b = -314 - 330 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 - v + 14. Let t(p) = p**2 - 5*p + 15. Let s(k) = 5*b(k) - 4*t(k). Calculate the remainder when s(-3) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3060091 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -67*n + 19. Let r(j) = -136*j + 38. Let y(h) = 4*r(h) - 9*v(h). Calculate the remainder when y(5) is divided by 71.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(162)*4 + -1 - sqrt(162) - (2 + sqrt(162)*-4))*-4 + -4 + 4)**2.\nAnswer: -151200*sqrt(2) + 3178800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*b**4 + b**3 - 2*b**2 - 1784*b - 227911 wrt b?\nAnswer: -16*b**3 + 3*b**2 - 4*b - 1784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0*k = -3*k + 17, -5*m - k = -9. Let j(o) = -o**2 + 72*o + 3. Let c be j(0). Sort m, c, -4 in increasing order.\nAnswer: -4, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2475440977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 4 (b) 2 (c) -15.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 86072 less than 5?\nAnswer: -86067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 smaller than -120838\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 176395 or -3\/7?\nAnswer: 176395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91582144, -91582149, -91582154, -91582159?\nAnswer: -91582164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 195157.3 meters to millimeters.\nAnswer: 195157300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/8*-1 + 234\/(-312). Put o, -0.5, -14 in decreasing order.\nAnswer: -0.5, o, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 456, 639, 832, 1041, 1272, 1531, 1824?\nAnswer: 2157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 34*k**2 + 30*k - 101. Does 29 divide f(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/5)\/((-1216)\/(-95) - 13). Solve 5*s - d*l = 2, 5*s - l - 12 = -18 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.7 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 50*l**2 - 318*l - 56. List the prime factors of q(42).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/2767465?\nAnswer: -2\/2767465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 9:28 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 7) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 4:26 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -242753 (base 10) in base 9?\nAnswer: -408885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11255\/57 or 0.1?\nAnswer: 11255\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 0*f + 0*f)*(3 + 1 - 1 - 1 + 3 - 1 + (5 - 1 - 3)*(0 - 1 - 1) - 3 + 3 - 1).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 8 = s - 140, -2*s - z = -229. Suppose 3*i - s = 156. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4 - (2 + -2)). Sort -2\/5, -1, -6, r in decreasing order.\nAnswer: -2\/5, r, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 - 17 - (46 + -7)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43813.735 days in weeks?\nAnswer: 6259.105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5275341?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107 + 111. Let z(r) = -8 + 14 - 9 + 13*r. Is z(y) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**2 + 1244*i - 4937. Let h be j(4). Let z(m) be the third derivative of 1\/8*m**4 + 0 - 1\/2*m**3 + 0*m + m**2. Calculate z(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2. Let p be -1*0\/(-3 - -2). Let x(m) be the second derivative of p*m**2 - m + 0 - 1\/6*m**4 + 0*m**3. Determine o(x(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117 and 135.\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7139, -7082, -6989, -6860?\n\"Answer: 18*n**2 + 3*n - 7160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 40, 41, 52, 79, 128, 205, 316?\n\"Answer: i**3 - i**2 - 3*i + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*s**3 - 11*s - 3 + 11*s + 6 wrt s?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 184 + 3. Let k(l) = -2650*l - 18533. Let y be k(-7). Calculate the highest common divisor of w and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s + 8 = 0. Suppose -4*u + 8 = -w, -3*w = u + s*w - 2. What is the third derivative of j**3 + 0*j**2 - 5*j**u + 4*j**3 - 3*j**3 wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22.2001 + 22.2. What is l rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 10508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 394697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 827213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s - 42. Suppose -27 = 5*q - 3*p - 110, 2*p - 65 = -3*q. Let b = -11 + q. Calculate the lowest common multiple of b and y(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.8008 litres to millilitres.\nAnswer: 54800.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7735 = 44*z - 3446 + 2029. Calculate the lowest common multiple of z and 260.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*x + 3203 = 0, -7*t + 12*t = 5*x + 5350. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 385071 (base 11) to base 5\nAnswer: 123411024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v + 221 = 917. Let y = 391 - v. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1650608 - 1650608 + z + 0*z + 10*z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -3*d**4\/20 + 3*d**3\/5 + 24*d**2\/5 + 36*d\/5 + 124. Suppose u(a) = 0. Calculate a.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*d - d. Let w = -6 + d. Let h(b) = b**3 + 7*b**2 + 3. List the prime factors of h(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.0957 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 838 + -838.3. Which is the third smallest value? (a) -4 (b) r (c) -0.4 (d) 0.38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98821 divided by 9.\nAnswer: -98821\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27452, 27443, 27430, 27413, 27392?\nAnswer: 27367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.22807 - 0.02807. Which is the second biggest value? (a) -0.4 (b) y (c) -0.2 (d) 6\/19 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24136999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1055 - 618. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89 and 4019329.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.134 rounded to 2 decimal places?\nAnswer: 1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + 0 + -1*sqrt(1377))*-5*1 + 0)*-1)**2.\nAnswer: 900*sqrt(17) + 34525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 0)\/(0 + (0 - 1)). List the prime factors of ((-8)\/(-10))\/(a\/475*5).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**4\/2 - q - 2. Let n(h) be the first derivative of m(h). Let x(d) = 2*d**2. Give n(x(l)).\nAnswer: 24*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -396 - -396. What is the nearest to i in 0.4, -6, -18\/11, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -229 - -96. Find the common denominator of -113\/18 and u\/(-72) - (-6)\/(-27).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 233*w**2 - 55*w + 264. What is the tens digit of x(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -154 - -88. Let r = 58 + g. Let s(n) = n**3 + 8*n**2 - 21*n - 12. What are the prime factors of s(r)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + b = -4, -3*l - 20 = -6*l + 5*b. Suppose l = t - 3*h - 353, 2*t - 634 - 94 = -5*h. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -60\/89, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -17*p**6\/960 + p**5\/240 + 11*p**2. Find d such that h(d) = 0.\nAnswer: 0, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + (-2*sqrt(104)*-2 - sqrt(104)))\/sqrt(8))**2 + 5 + (sqrt(637)*2 + sqrt(637))**2.\nAnswer: 5946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70975*y**3 + 99028*y**2 wrt y?\nAnswer: -425850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**4\/24 - 3*l**2. Let g(o) be the third derivative of o**4\/12 - 12*o**2. Give g(s(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 23. What is x(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*u - 1051 - 371 = -35 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -2*x - 189. Suppose -3*v + x = 3*c, 0*c - 29 = -5*c - 3*v. Let n(t) = t**3 - 4*t**2 - 5*t - 1. Let o be n(5). Sort o, 3, c in ascending order.\nAnswer: o, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4966c (base 15) in base 8?\nAnswer: -711527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 674, 1840, 3498, 5648, 8290?\nAnswer: 11424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 152*g**5 - 308*g**5 + 32 - 2*g**2 + 157*g**5 - 3*g**3 - 2*g + 2*g + 2*g**5 + (-2 + 10 - 2)*(2*g**5 + 2*g**5 - 2*g**5) + g**5 - 4 + 4.\nAnswer: 16*g**5 - 3*g**3 - 2*g**2 + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 47145, 45202, 43249, 41280, 39289, 37270, 35217, 33124?\n\"Answer: -g**3 + g**2 - 1939*g + 49084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w + 12. Let a(k) = -k + 1. Let t(d) = -6*a(d) + v(d). Let z be ((-16)\/10)\/((-3)\/15). Calculate the remainder when 41 is divided by t(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.12 - 0.42. Let t = -166 + 155.9. Let i = t - -10. Which is the second smallest value? (a) 2\/5 (b) h (c) 3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2388 = 42*f - 48*f. Suppose 15*g + 68 = f. Solve 0 = -2*r - 5*n - g, 2*r - 4*n - 2 = -3*n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - f - 1. Let r(k) be the second derivative of -k**4\/12 + 2*k**3\/3 + 2*k**2 - 422*k. Determine r(t) + 4*z(t).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 1086 = 3*x. Suppose 3*h - x = -86. Suppose 5*m + 3*q = 74, -4*m + q - 26 = -h. Solve 12 = -2*g - 2*w, 3*g - g + m = -3*w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -4, 3\/4, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 413\/(-21)*1 + -3 and 29\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -116*b - 15 + 15 in the form g*b + p and give g.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/1970773 and 99\/28.\nAnswer: 7883092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**2*n**2 - 2*i**2*n - 7*i*n**2 + 29942*i*n - 1709*n**2 wrt n.\nAnswer: -2*i**2 - 14*i - 3418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -1522*b - 5265. Is f(-14) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4895133884.\nAnswer: 2, 17, 23, 193, 16217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 26*q - 47. Let z be n(-20). Let d = z - 16. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j = -0*j - 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248671?\nAnswer: 139, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11941, -23618, -35045, -46240, -57221?\nAnswer: -68006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15579 is divided by 152?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - m**2 + m - 103. Calculate h(0).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -2, 5, 3.\nAnswer: -2, 3, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 1 - (-1 + -1). Calculate the remainder when 39 is divided by (0 + 21\/(-3))\/(k\/(-2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 12\/1903627?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3 - 24458*n**2 + 73348*n + 97808 = 0 for n.\nAnswer: -1, 4, 12226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one halves of a hour?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 13*n - 14*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*o**4 + 42*o**2 - 51*o**2 - 19*o**4)*(1 + 4 - 4).\nAnswer: -41*o**4 - 9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 10:25 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -329, -332, -335, -338?\n\"Answer: -3*c - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**2 + 17*a + 18. Let j(z) = -z**3 - 30*z**2 - 28*z + 16. Let l be j(-29). What are the prime factors of q(l)?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i\/i**2)\/i))**(-3\/7)\/(i**(-2)\/(((i\/(i\/(i**(-5)\/i)))\/i)\/i)) assuming i is positive.\nAnswer: i**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 112.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5391, 5428, 5467, 5508, 5551?\nAnswer: 5596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/23)\/z*z*z*z**(6\/13)*z)**(-3\/8) assuming z is positive.\nAnswer: z**(-1065\/1196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -2*i - 2*i. Suppose -h = 1 - i. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 253645 - 1775502\/7. Factor i*u + 1\/7*u**2 + 0.\nAnswer: u*(u + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 822221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 6*z**2 - 2*z**3 + 2*z**2 + 4*z**2 - 6*z**2 + 36*z + 18*z as v + j*z**2 + r*z**3 + w*z and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.1 (b) -1\/9 (c) 17.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1751)\/119)\/((-2)\/14). Is 36 a factor of ((-1)\/6 - -1)*6 + y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -122 + 122 - 52*h**2 + (0 + 0 + 3*h)*(-4*h - 2*h - h).\nAnswer: -73*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/3*(1 - 2). Suppose -4*x = 5*n + 21, -i*x = x - n - 8. Suppose 6*t - 16 = -2*t. Solve t*k + 7 = x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 6:45 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3120 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 1 + 1)*(-2 + 5 - 2)*((-1 + 0 - 1)*(-4*m + m + 4*m) - 2*m + 3 - 3).\nAnswer: 32*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 4. Let h be g(-5). Suppose -h*s - 2 = -7*s. Let j = s - -1. Solve -4*v - 1 = -2*p - 3, j = 5*p - 3*v + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336 divided by -56.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*c = 40. Calculate the highest common divisor of 50 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3\/10 (b) 2\/11 (c) -14 (d) 4196\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*o + 9 = -2*u, 0 = -3*u - 5*o - 9. Let v be u*(2\/18 - 0). What is the third biggest value in v, 0, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 9 - ((5 + -6 - 4) + 22).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + 12. Suppose -i*q = -1016 - 979. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 0*h**3 + 0*h**2 + 59\/3*h**4 - 3*h + 109\/10*h**5 + 0. Find the third derivative of a(z) wrt z.\nAnswer: 1308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1671 + 1701. Calculate the least common multiple of 609 and p.\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 5*o**2\/2 + 7315*o\/2 + 107475 = 0.\nAnswer: -1433, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2)*s)\/s**3*(s*s**(-5))\/s**(-2\/9))**(-2))**(8\/5) assuming s is positive.\nAnswer: s**(224\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - c + 4*c + (2 + 1 + 0)*(-3*c + c + 0*c))*(-50 - 39 + 14).\nAnswer: -150*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-3*c**5 + 0*c**5 + 4*c**5) + (-8*c**3 + 2*c**3 + 8*c**3)*(-245*c - 17*c**2 + 245*c).\nAnswer: -35*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = g - 2*y, 26*g - 2*y = 29*g + 4. Suppose -7*j = 449 - 463. Solve -v = -j*a - 3, -g*v = -4*a + 2*v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.6 (c) -2.87 (d) -3\/2 (e) -1\/4 (f) -43\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**5\/2 - 42483*g**4 + 1104443*g**3\/2 - 2293767*g**2 + 3058308*g = 0?\nAnswer: 0, 3, 4, 6, 84953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3224 - -7475. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 11*b**3 - 3*b**2 - 4*b - 2. Let i be m(-1). Let x = 103 - i. What are the prime factors of x?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**4\/4 - 23*l**3\/3 + 23*l**2\/2 + 2*l + 2641. Let j be -3*(44\/6)\/(-1). What is the tens digit of x(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 1 - 3) + 72 + -25?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -1117?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*m - 7. Let z be ((-1)\/m)\/(2\/(-700)). Suppose 3*q - 536 = z. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -200 - -202. Let l(z) be the first derivative of -r*z**3 - 3\/2*z**2 - 1\/2*z**6 + 3\/5*z**5 + 3*z + 3\/2*z**4 + 5. Factor l(s).\nAnswer: -3*(s - 1)**3*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000039385 to seven dps.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1157*s**3 + 366*s**3 + 2*s + 0*s.\nAnswer: -791*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**2*y**3 + 2130*h**2*y**2 + 102*h*y**2 + 74*y**3 wrt h.\nAnswer: 2*y**3 + 4260*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 404 - -3?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 2\/(-1)*-1) + 8876\/7. Solve -1261*i + u*i + 3 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2652*s**4 + s + 547.\nAnswer: -31824*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1\/((-35)\/11396))\/((-14)\/35) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 18. Let x(d) = d**2 - 11*d + 9. Let j be x(s). Let u = -16 - j. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 - 24*k**2 + 11601*k - 250776.\nAnswer: -(k - 81)*(k - 24)*(k + 129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*f**3 + 35*f**3 + 2*f + 3*f to the form v*f**2 + h + b*f + m*f**3 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3570 and 13.8?\nAnswer: -49266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -113133*z**2 + 638974*z wrt z.\nAnswer: -226266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.06 - -0.06. Let s = w - -8. Let i = 8319 + -8318.6. Which is the nearest to s? (a) -1 (b) 2\/13 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -419035, -419034, -419033, -419032, -419031?\nAnswer: -419030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 209.93307 microseconds in minutes?\nAnswer: 0.0000034988845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 150326 > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(98) + -3 + -4 + sqrt(98) + -2)**2.\nAnswer: -224*sqrt(2) + 456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25391706?\nAnswer: 2, 3, 79, 53569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in 0.03, 0, 3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27378 > 8432089\/308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1535, -1539, -1553, -1583, -1635, -1715?\n\"Answer: -a**3 + a**2 - 1535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1535942651?\nAnswer: 181, 619, 13709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 7:42 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -78, -105, -144, -201, -282, -393?\n\"Answer: -j**3 - 20*j - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*v - 2 - 24*v + 98*v - 25*v - 75 - 26*v.\nAnswer: v - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.2 - 1.8. Let x be ((-4)\/(-3))\/(2\/(-3)). Sort n, x, 0.1, -0.2.\nAnswer: n, x, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q**2 + 0 + 0)*(-9*q**2 + 2*q**2 - 14*q**2) - q**4 + q**2 - q**2 in the form c*q + b*q**3 + o + d*q**2 + v*q**4 and give v.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**21*b\/(b\/(b**20*b))*b*b\/(b*b\/(b**(-22)\/b))*b\/b**(-2\/11))**31 assuming b is positive.\nAnswer: b**(6882\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = -4*v + 10920. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l. Let u(y) = y**2 - 3*y**2 + 3*y**2. What is u(s(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**3*j + 66*f**2*j + 2956*f**2 - 2*f*j + 16*f + 4386*j wrt f.\nAnswer: 12*f*j + 132*j + 5912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 10:04 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68227*n**4 - 51666*n + 2.\nAnswer: 818724*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 860908269 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -cd (base 16) in base 12?\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24.99 - -25. Put -1\/5, -0.5, q, -3 in ascending order.\nAnswer: -3, -0.5, -1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-117)\/52)\/(1\/2*-183))\/(1151\/(-2302))?\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 6*f - 2*f)*(42*f + 41*f - 84*f) - 2 + 2 - 2*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 326*b. Let w be t(11). Let g be w\/(-33)*30\/4. Is 0 + -1 + g\/(-5) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 30*q - 52 = -32*q, 5*s + 2*q = -48 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 - -69.4. Let g = 5.4037 - f. What is g rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*c + 1. Let y be (c - -3)\/(-1 - -3). Suppose 16 = y*k - 2*x, -2*k - 1 = x - 8. Solve f + k*j - 15 = 0, 5*j - 24 - 1 = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 798 + (10 - (-160)\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 10*g**3 + 16*g**2 - 16*g. Let c(y) be the second derivative of 3*y**5\/20 + 5*y**4\/12 - 5*y**3\/6 - 2*y. Let w = 6 + -11. What is w*z(v) + 16*c(v)?\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -38*k**2. Let s(u) = -u**2. Determine s(j(n)).\nAnswer: -1444*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*t + 64. Let h be 2*(-2)\/8*t. Let r(a) = a + 9. Give r(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 82*t**2 + 170*t - 804. Give z(80).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from bgbbg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/12*(-9)\/(-6). Suppose -j = x - 52. Suppose -3*z - 66 - 9 = -4*u, 0 = -3*u + z + j. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0\/((x\/((x\/(x\/(x*x**(-1\/4))*x*x))\/x*x))\/x*x))\/(x**(-2\/49)\/x**(-23)) assuming x is positive.\nAnswer: x**(-4941\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -19*b**3 + 9*b**2 + 9. Let z be (1 - 6)*(-207)\/115. Let p(g) = -5*g**3 + 2*g**2 + 2. Calculate z*p(o) - 2*h(o).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (-7 + 3 - -3 - (18 - 20))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Let y(o) be the second derivative of -17*o**4\/2 + 172*o**3\/3 - 7*o - 6. Find the second derivative of y(d) wrt d.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 327400 to the nearest 10000.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 5*c - 5. Suppose 79*u - 4 - 328 = 300. What is f(u)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1532)\/10*(27\/(-18) + -1). Suppose 2*n = 489 + a. Suppose -39*j = -35*j - n. What are the prime factors of j?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 789.67939676 and 0.5.\nAnswer: 790.17939676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (-2)\/(-1) + 840\/(-175). What is the second smallest value in -8, 4, -2\/11, z?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 1\/2*p**3 + 0 + 5\/2*p**2 - 1\/12*p**4 - 4*p. Let h be l(4). Do 2 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n**2 + 164*n + 1658. Determine f(-10).\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (13\/(-39))\/(3\/(-2)). Is k >= 659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.097? (a) 22 (b) 1 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*r - 2. Suppose -2*a = -11*a + 81. What is the smallest common multiple of a and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18617141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 389924894219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-162168)\/(-13980))\/((-2)\/((15\/(-1))\/3)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -62, -5 in ascending order.\nAnswer: -62, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -27. Let y(t) = 6*t - 12. Let s be y(p). Suppose 5*i = s + 2. What is the least common multiple of i and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 - ((-10 - -3) + -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((206\/(-78))\/(234\/702))\/((-204)\/884).\nAnswer: 103\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -8. Let x be 0\/(-3)*(o - -2). Suppose 0 = -b + 4, -2*r - 2*r - 4*b + 24 = x. Solve 0 = -r*h + 7*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5 - 2132*z**4 - 149702*z**3 + 314288*z**2 + 461856*z = 0.\nAnswer: -68, -1, 0, 3, 1132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiikaiakk. What is prob of picking 4 i?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*h**3 - h**3 + 6*h**3)*(-6 + 6 + 11*h).\nAnswer: 198*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36556)\/(-962)*(-9)\/(-1482)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 - 86*n - 118. Let w be c(-42). Is 15 a factor of w\/(-119) + (-3)\/((-21)\/3092)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8409 (base 15) in base 10?\nAnswer: 27909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 53.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -145305250?\nAnswer: 145305251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + sqrt(176) - ((3 + sqrt(176) - sqrt(176)) + sqrt(176))*-3)**2.\nAnswer: 160*sqrt(11) + 2841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55824 + 55832. Let d = -46 + 3. Let p = d + 71. What is the remainder when p is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r - 3. Let q = -15 + 25. Let y be 1\/(-2)*(q - -2). Let n be (12\/9)\/(y\/9). Give a(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 35*p**2 + 37*p + 107. Let c be w(-34). Suppose 2*l - 383 = 3*n - 7, 0 = -l + n + 188. Suppose c*m - l = 172. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20938 and 239704.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.271 - 0.029. Let o = -4.07 - -4. Let j = o + -4.93. Which is the closest to -1? (a) j (b) 3\/7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1053)*-3 + sqrt(1053))**2 - (-1*-3*sqrt(52)\/sqrt(4))**2)*6.\nAnswer: -152334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 3*i**2 + 2*i + 1. Let l be s(4). Let u = 6 + l. Let t = 0 + 2. Which is the biggest value? (a) t (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.566 + 0.15.\nAnswer: -0.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(17) + -1 + 3 + -5.\nAnswer: -4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(7488))\/sqrt(4).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 12 = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzlllllz. What is prob of sequence llzl?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**8\/6720 + o**7\/504 - o**6\/144 - o**5\/60 - o**4\/12 - 2*o**2. Let n(a) be the second derivative of x(a). What is n(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564091879 a multiple of 2978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**5\/120 - 5*w**4\/24 + 5*w**3\/6 - w**2. Let a(k) be the first derivative of x(k). Differentiate a(s) wrt s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 64724*g + 258864.\nAnswer: 2*(g + 4)*(g + 32358)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from {m: 3, a: 4, l: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**6\/120 - 2*t**5\/15 - t**4\/2 - 13*t**3\/6 - 2*t**2. What is the remainder when j(10) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - j + 1. Suppose 5*x = -4*h - 13, 5*h + 15 = -2*x - 3*x. Let g(n) = -3*n**2 - n. Let c(s) = x*g(s) + 4*l(s). Solve c(u) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -14*r. Let i(f) be the second derivative of -f**3\/2 + 15*f**2\/2 - 19*f + 3. Determine i(o(z)).\nAnswer: 42*z + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**3\/9 + 32204*z**2 - 289840*z\/9 = 0. Calculate z.\nAnswer: -72460, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111040848114*f**3 + 2*f**2 - 2*f**2 + 111040848124*f**3.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*b - 2*b - 9*b - 5)*(-b**2 + 6*b**2 - 2*b**2) to the form o*b**3 + w*b + g*b**2 + z and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 36*z + 23. Let j(d) = d**2 - d - 1. Let u(w) = 4*j(w) - s(w). Is u(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 347 divided by -1\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 18*p**2 + 33*p - 34. Let k be j(1). Solve 0 = 5*y - l - 12, k = 5*y - 5*l - 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5\/3 + 2*q**4 + 2*q**3 - 20*q**2\/3 - 13*q - 6 = 0. Calculate q.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -379*b**3 - 187*b**3 + 568*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 625 + -254. Let t = 553 - c. What are the prime factors of t?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 93*o**2 + 90*o + 7. Give s(92).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -878*r**3 - 7*r**2 - 5*r. Does 22 divide o(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 4. Let u = -33 + 47. Let z be n(u). What is the greatest common factor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/((6\/51)\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -421*d - 1. Let j(x) = -590*x. Determine j(g(v)).\nAnswer: 248390*v + 590","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16148633 to 3 decimal places.\nAnswer: 0.161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 33*1 - (-15)\/((-75)\/(-10)). Suppose 20 = 5*v - 15. Suppose -2*w + 4*y = v*y - 19, 0 = -5*w - 5*y + p. Put -3, -1, w, -2 in ascending order.\nAnswer: -3, -2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000980393719 to seven decimal places.\nAnswer: -0.0009804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 9*m + 13. Let s be c(-10). Suppose -w - 5 = s. Which is smaller: w or -7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1602228.\nAnswer: 2, 3, 133519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14 + (-1 - 0) + 0. Suppose -o = d - 10, -2*o - x - 2 = -5*d. Suppose -4*s = -3*s - 3. Calculate the remainder when o is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04674 + 0.05326. Let s = 4.95 + -5. Let g = s - -3.05. Which is the nearest to i? (a) g (b) 1\/22 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14516, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -706 + 494. Let m = -214 - k. Are m and 11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 - i**3 + i**3 + (i**2 + 3*i - 3*i)*(-2 + 2 - 2*i) - 2*i**3 + 4*i**3 - 3*i**3 + 0*i**3 - 4*i**3 + 6*i**3 - 2*i**2 + 2*i**3 + 2*i**2.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1143\/4074 + 406468\/(-8596) + 44 + 3?\nAnswer: -1\/194","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8785*g**3 - 1 + 17542*g**3 - 8738*g**3.\nAnswer: 19*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 781 + 1570 - 350. Let r(h) = -2*h. Calculate i(r(b)).\nAnswer: 2*b + 2001","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -39 + 9. Let z(r) be the third derivative of r**5\/60 + 3*r**4\/8 + 19*r**3\/6 + 19*r**2. List the prime factors of z(v).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 11:50 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 4*t - 16. Let b be c(7). Let n be 3\/(-18) - (b\/6 + -3). What is the third derivative of -11*v**4 + 7*v**2 - 3*v**2 + n*v**4 + 22*v**4 wrt v?\nAnswer: 312*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 9749*l - 29267. What is x(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 14, -48, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 13, 3, -6 in increasing order.\nAnswer: -6, -5, -2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -17, 0.2, -2\/9, 1\/3, 1, -29, 13?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 6. Suppose 5*i - 4*r = n - 11, 0 = -3*r + 15. What are the prime factors of i\/(-1) + 5 - -22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6059969027.\nAnswer: 7, 223, 3882107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -88, -357, -804, -1429, -2232, -3213, -4372?\n\"Answer: -89*h**2 - 2*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p + 10. Let a(g) = -3*g - 7. Let b(j) = -7*a(j) - 5*r(j). Let z be b(4). Let i be (-35)\/(-25) - 6\/(-10). Solve i*m + z = -1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 - -92. Suppose t = 2*y + 3*t + 32, 4*t - 69 = 3*y. Let h = y + u. Solve h*q = 2*q + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 1 - 11. Let m(p) = 2*p**2 - 7*p - 4*p - p + d*p. Let g(s) = -s. Calculate -8*g(z) + m(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*h - 28 = 0, -4*a + 13 + 9 = -2*h. Let x = -1 + a. Suppose -12 = -4*f - 2*l, -x = -3*f + 4*l - 4. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -22*m**2. Let t(y) be the first derivative of 0*y**2 + 8*y + 0*y**3 - 1\/6*y**4 + 3. Let g(z) be the first derivative of t(z). Determine c(g(d)).\nAnswer: -88*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*h*m*y - 3*h*m + h*p**2*y - 19*h*p + 41*m*p**3*y - 8*m*p**3 wrt p?\nAnswer: 2*h*y + 246*m*p*y - 48*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(1500)*-1)\/(-1*sqrt(21)\/sqrt(7) - sqrt(3)*-2*-3).\nAnswer: -50*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*g**4*r**2 + 3*g**4*r + 6*g**3 + 2*g**2*r**2 - 88*g**2*r + 6*g**2 wrt g?\nAnswer: 1104*g*r**2 + 72*g*r + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4718728, -9437456, -14156184, -18874912, -23593640?\n\"Answer: -4718728*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5*f + f, 4*f = 0. Put d, -3, -37 in increasing order.\nAnswer: -37, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f = -f - 3740. Let s = 233 + f. What is the highest common divisor of s and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 - 6*v**2 + 5*v**2 - v**2 - 4*v.\nAnswer: -5*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nrnxmrnn. Give prob of sequence rrmn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**6\/2 + 17*i**5\/20 + 79*i**4\/4 - 8*i - 13. What is the third derivative of u(r) wrt r?\nAnswer: 360*r + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 - 85. Let q = 97\/4 + p. Suppose -22*u + 30 = -17*u. Sort q, u, 0.5.\nAnswer: q, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c - 94*c - 525 = -95*c for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -57899?\nAnswer: -231596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -6\/11 (c) -0.3 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 22 - 2. What is the remainder when (-6)\/(-45) - ((-354)\/45 - -1) is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8080424*n**4 - 7941535*n wrt n.\nAnswer: -96965088*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 560 + -244. Let j be (3\/99)\/(2\/z). Let k = j + 155\/264. What is the common denominator of 133\/6 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1417*z**4 - 3*z**6 + 12*z**2 - 1423*z**4 + 2*z**6 - 8*z wrt z.\nAnswer: -120*z**3 - 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*y - 96 = 4*u - 69*y, 3*u + 2*y + 67 = 0 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2210202 (base 3) to base 15\nAnswer: -915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -209 by 11.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -196 + 194 - (-2 - 21). Solve 4*u + 4*o = 4, -3*u - m = -59*o + 56*o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.058 + -0.972. Let x = l + 1.03. Let j = 301\/24 + -73\/6. Which is the closest to -0.1? (a) x (b) j (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 7*d**2 - 6*d - 11. Let n be f(8). Suppose 2*h + 5*z = 243, -n*h + 374 + 243 = 3*z. What is the greatest common divisor of 31 and h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*h - 4 = 7, -3*m - 5*h = 27. Let n(k) = -k**3 + 7*k**2 + 7*k + 10. Let x be n(8). Sort m, 1, x, 4 in increasing order.\nAnswer: m, 1, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4112 times 0.48988?\nAnswer: 2014.38656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -10*l - 22. Let p be u(-9). Let h = p + -36. Suppose -h = 4*k - 4*i, 5*k - i = -0*i - 24. Put -12, -3, k in increasing order.\nAnswer: -12, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1257095 and 945?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 4*c - 47. Let z be x(11). Calculate the greatest common divisor of z and 144.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*j = -465 - 197, 4*j + 16 = 0. Let l = 130 + o. Solve 7*i - 1 - 6 = l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -b + 4*b. Suppose 0 + b = 2*u. Suppose u*g + 5*d = 50, -6*g + 11*g = 3*d + 156. Solve 27 = 3*j + 4*i, -5*j + g = i + 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 810 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 7:36 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 212\/147 + 11\/49. Which is smaller: 3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 618962\/1375 + 63\/1375. Let d = -272361\/605 + c. Which is greater: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -3, -4, -177, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -222*k**5 + 3*k**2 + 342698 - 342698 + (-k**5 - k**5 + k**5)*(1 + 1 - 4).\nAnswer: -220*k**5 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -10392 greater than or equal to -10489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85 + -246. Let o = -167.9 - q. Round o to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c + -ec73?\nAnswer: -ec66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzzzzzzzzzzzzzzzzz. What is prob of picking 1 q and 3 z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4806, -9613, -14420?\n\"Answer: -4807*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 5*l**2)*(1921 - l**2 - 1921) to z*l + u*l**4 + r*l**3 + i*l**2 + q and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -850*h + 6. Let b(d) = 141*d - 1. What is 13*b(w) + 2*p(w)?\nAnswer: 133*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15677?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*w**(-2\/7))**1)**(-2\/13) assuming w is positive.\nAnswer: w**(-38\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**4 + 120*m**3 + 7434*m**2 - 15216*m + 7665 = 0. Calculate m.\nAnswer: -35, 1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3256 and 592.\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/14)\/(2\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.91, 3, 4, -3?\nAnswer: -0.91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 582*k**4*u**2 + 2*k**2 + 4*u**2 - 43*u wrt k.\nAnswer: 2328*k**3*u**2 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2538 (base 12) to base 8\nAnswer: -10174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y. Let i be r(-2). Differentiate -6 - 10 - 2*l**4 + 4*l**i wrt l.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a factor of 19554352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (194 - 188 + n - 8*n)*(-6 + 6 + 3*n) to a*n + y*n**2 + o and give y.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-842*r**4 - 7637 + 7637)*(-5 + 2 + 5)*(-2 + 3 + 0)*((-2 - 4 + 4)*(3*r - 3*r + 2*r) - 1 + 1 + 2*r).\nAnswer: 3368*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -0.5, -1\/6, -0.06, 6509?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/14*(-5 + 15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 3*q**2 + 3*q. What are the prime factors of l(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 17420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2. Let x(l) be the second derivative of -l**4\/4 + 23*l**2 + 15*l + 19. Determine x(v(t)).\nAnswer: -3*t**4 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3.2653, 2, 0.036, -4, 1\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547234.\nAnswer: 2, 273617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 96 in 2\/5, -16, 0.1, -87\/176?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w + 1. Let y(v) = -7*v**3 - v**2 + v - 1. Let k be y(1). Let g = 9 + k. Determine m(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(8\/3))\/(l**(-2\/15)\/l))\/(l**(-11\/3)*l\/(l\/(l*l**(-2\/13)))) assuming l is positive.\nAnswer: l**(1486\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 15) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 33 - -17 - 39 - (30 + -1)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 5. Suppose 4*k + 4*q = 0, 5 = k - q - 5. Let u be f(k). Let m be (2*220001 - 2) + u. What is m rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3658764*w**3 - w - 42655208 wrt w.\nAnswer: -10976292*w**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-24)\/18)*((-665)\/(-57) + -16).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1223154 is divided by 305756?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 15. Let x be a(-20). Let l(o) be the third derivative of o**5\/60 + o**4\/6 + 2*o**3\/3 + 4*o**2. Calculate l(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*((-27)\/(-6) + -4). Let f be (0 - 0)\/((-1)\/b). What is the second biggest value in 2\/9, -1\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1865178?\nAnswer: 2, 3, 7, 113, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 61. Let y be (-2)\/4*t*(-2 - -18). Let m = y + 85. What is m rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*f**2 + 227*f + 227*f - f**4 - 1 - 451*f - 7*f**3 + 5*f**3 + 0*f**3 to the form l*f**4 + t*f**2 + x*f + m*f**3 + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n + 3*n - 2*n + 17*n.\nAnswer: 33*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 5\/8*x**4 - 10\/3*x**3 + 0 - 13\/60*x**5 - 6*x**2 + 1\/120*x**6 + 0*x. What is the lowest common multiple of 38 and m(12)?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*r**4 + 170*r**3*t**3 - t**3 - 167*t wrt r.\nAnswer: -24*r**3 + 510*r**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 1. Let g = -4 - -9. Let s be (4\/10)\/((-17)\/g). Is c <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**4\/10 - 20*o**3 + 1500*o**2 - 50000*o + 130. Factor b(p).\nAnswer: 2*(p - 50)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + m - 25 = f, -3*f = 2*m - 15. What is the closest to -1 in -1, f, 6, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 175\/18 - 19\/2. Sort t, 2, 0.2.\nAnswer: 0.2, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j - 270 = 47*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 6*s + 47 = 0, 23837834*r - 8 = 23837831*r + s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(6)\/sqrt(3) - sqrt(2) - 3*(sqrt(2)*-1)**2.\nAnswer: -6 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-7) - 2)\/(-1)*7. Solve 0 = -n*p + 5*p + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98203740 is divided by 2395213?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15*(0 - 14\/35). Let n(h) = -2*h - 14. Give n(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1040, -2081, -3124, -4169, -5216, -6265, -7316?\n\"Answer: -p**2 - 1038*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -400992 divided by 200496\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = -598 + 562 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*((-9)\/(-126))\/(9\/(-180)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/476 + 852\/4828?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, g: 2, p: 1, s: 1, k: 1, o: 1}. Give prob of sequence gps.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 46 = -0*n. Let q = -133 + 139. Calculate the remainder when n is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 901.\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*r**2 + r**4 - 22 - 3*r**4 - 19*r**6 - 3*r**2 + 0 wrt r?\nAnswer: -2280*r**3 - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = 23*s - 290. Suppose s*t - 10*t = -10*t. Solve t*h - 42 = 14*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08423 times 0.4\nAnswer: -0.033692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 10 = 0, 2*q + 94 = -1535*t + 1559*t for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -54351 (base 6) to base 15\nAnswer: -233d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/11 (b) 3 (c) 9.84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5919417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 10 - 20*w - 8 - 32*w. Is q(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 148280.1l?\nAnswer: 148280100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(6336) + 1)*-1 + ((sqrt(6336) - sqrt(6336)*1 - sqrt(6336)) + 5 - sqrt(6336)*2*-3))**2.\nAnswer: 1152*sqrt(11) + 101412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 410\/50 - 8 - (-141)\/(-5)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 132185251 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000081145 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -1\/20*m**4 + 0 + 0*m - 2\/15*m**3 + m**2 - 1\/150*m**5. Factor f(t).\nAnswer: -2*(t + 1)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7714 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*v - 1 = 0, 3*d + 4*v = -9 - 14. Let n be d + 0 + 0 + 140. Calculate the greatest common factor of 15 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, z: 4, l: 3, n: 1, v: 5, r: 4}. What is prob of sequence rzr?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7008959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 r when four letters picked without replacement from {k: 2, r: 7, h: 2, c: 4, j: 4, a: 1}.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6861 and 12?\nAnswer: 27444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 14) in base 6?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/11, -0.2, 1\/16?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101543766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-6)*(-30)\/(-4). Suppose 3*a = -2*q - 34, c*a + 31 = -3*q - 22. Let s = -7 - q. Calculate the smallest common multiple of 5 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 16*j - 2. Calculate the smallest common multiple of n(15) and 8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5966 + 5971. Let z = 1.5 - 1. Put -34, z, f in descending order.\nAnswer: f, z, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**3 - 8540*z**2 - 42616*z - 34080 = 0. Calculate z.\nAnswer: -2130, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, r: 10, f: 6}. What is prob of picking 3 r and 1 h?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 12:59 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 10) to base 15.\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443982 is divided by 2660.\nAnswer: 2422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + 3 - 3)*(2*u + 2*u + 2*u) + 90*u**2 + 499*u - 499*u to the form o + f*u + m*u**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1554, 6145, 13796, 24507, 38278, 55109?\n\"Answer: 1530*u**2 + u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 206034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 17058*o + 11 + 17063*o + o**4 + 21*o**2 to n*o**3 + q + r*o**2 + s*o + u*o**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -41000 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1451?\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5218?\nAnswer: 2, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 724, -0.68, 20\/7, -10 in ascending order.\nAnswer: -10, -0.68, 20\/7, 724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 612653 is divided by 49.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2262*h**3 + 2262*h**3 + 19*h**4 + (-h**4 + 3*h**2 - 3*h**2)*(-1 + 1 + 1) + (-3 + 2 - 2 + 0 + 2 - 1 + (4 - 2 + 0)*(0 + 0 - 2))*(3*h**4 + 0*h**4 - h**4).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(-4 - (-1038)\/9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4042*l**2 + 1016*l**2 + 1003*l**2 + 1016*l**2 + 1008*l**2. Let c(b) = 885*b**2. Calculate h(c(k)).\nAnswer: 783225*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17*12\/204*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396886.\nAnswer: 2, 7, 28349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0 (b) -0.2 (c) 65 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 42. Let w = q - 13. Suppose -2*a + 302 = -4*v, 0 = -w*v - 3 - 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 265 + 4?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247, -243, -239?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 16*y**2 + 18*y - 20. Let p(b) = -b**2 - 18*b - 28. Let m be p(-15). Determine i(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -46?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 2 + -4)*(-4)\/830. Let j = 2893\/2490 + f. Let w = 3 - 1. Is w > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -149.2 - -149. Sort d, -1, 1, -30.\nAnswer: -30, -1, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/(-44) - (-2 + 0)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00256149595 rounded to 7 dps?\nAnswer: 0.0025615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.93 - 1.13. Let v = 2004 + -2003.5. Which is the closest to -4? (a) q (b) -5 (c) v (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 - -113457?\nAnswer: 113479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.41, -0.1, 54, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 10 + 2 = 0. Suppose -h*u = -2*u + 16. Let c(m) = -m - 1. What is the units digit of c(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (113905\/(-570))\/109 + 2\/(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 y when two letters picked without replacement from {q: 5, o: 3, y: 2, j: 2, i: 6}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9943*g**2*j + 19*g**2 - 10*g*j**3 - 3*j**3 - 66*j**2 + j - 576 with respect to g.\nAnswer: 19886*g*j + 38*g - 10*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5510747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 3*x + 5*q - 1, 4*q + 8 = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 = 5*o, -5*o + 34 - 129 = -5*g. Suppose 2*f = 2*p - g, 34 = 5*p - 2*f - 2*f. Calculate the least common multiple of p and ((-10)\/15)\/((-2)\/33).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0 = -2. Let o be -2 - (d + -5 + 1). Put o, 0, -2 in decreasing order.\nAnswer: o, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 4:25 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1025 - -1046. What is the remainder when 137 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.8 - -2.2. Let t = -50 + 46. Let g = -12 - -11.78. Which is the third smallest value? (a) t (b) g (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/l**(5\/7))\/l*l))**(-2\/75)*l*l*l**(-4)*l\/(l*l**22)*l)**(-2\/37) assuming l is positive.\nAnswer: l**(4834\/3885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -42.4. Which is the second smallest value? (a) 1\/4 (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**6\/180 - 17*g**5\/90 + 7*g**4\/4 + 9*g**3 + 44*g**2 + 5*g. Determine k so that d(k) = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/50)\/(13\/65)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(9 + 216\/(-20))*1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**3 - 3472*d - 64*d**3 + 3482*d to z*d + g*d**2 + b*d**3 + m and give b.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 7562?\nAnswer: -7562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 8*b - 497. Suppose -1700 - b = -4*c - 3*j, 2*j = c - 563. Suppose 3*a = 10*a - c. List the prime factors of a.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/21, -7, -0.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -308501?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20714 - 10335. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124 (base 5) to base 13\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19635 and 25415.\nAnswer: 5870865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3193391 and 80075?\nAnswer: 3203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 <= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3994 - -27960\/7. Sort 0, f, 0.1, 3\/14.\nAnswer: 0, 0.1, 3\/14, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -7. What is the common denominator of y\/(-4) + (-46)\/(-18) and ((-5)\/18)\/((-1)\/16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 1. Let b(y) = -6*y + 2. Let n(u) = b(u) + 3*k(u). Let i be n(-5). Suppose 0 = -3*a + i - 5. Solve 3*w + 2*w - a = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1700, 1738, 1846, 2060, 2416, 2950, 3698?\nAnswer: 4696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*h + 7*h = 0. Suppose h = -25*x + 264 + 11. Let c(b) = -11*b - 4. What is the remainder when c(-3) is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(65)*-4)\/(sqrt(60)\/sqrt(3)).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**2\/9 + 6304*p\/9 - 12632\/3 = 0.\nAnswer: -3158, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 495204 and 522.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by 4654\nAnswer: -16\/2327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9542613121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3996351847 to the nearest integer?\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 12*b - 4. Let p(q) = -2*q - 5*q**2 + q**3 - 4*q**2 + 14*q**2 + q**b - 3*q**2. Let t(y) = -12*y**3 - 13*y**2 + 13*y. Determine 39*p(f) + 6*t(f).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*z**4 - 2*z**4 + z**4 + (3 - 2*z**2 - 3)*(-3*z**2 + z**2 + 0*z**2) - 7*z**4 + 2*z**4 + 0*z**4.\nAnswer: 11*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 535*g - 6954. Calculate i(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*r = -85*r - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**6\/120 + 7*c**5\/60 - 5*c**4\/24 - 5*c**3\/3 + 5*c**2 + c. Let k be t(5). Solve 16*l = k*l - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 28 = -3*z + 50, 5*z - 15 = j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054518121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -68\/7*v**2 + 64\/7*v**3 - 64\/7*v + 2\/7*v**4 + 66\/7 = 0.\nAnswer: -33, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30b69 (base 14) to base 13.\nAnswer: -41633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3 = -4*g, -3*g + h - 3*h = -4. Let x = -51 - -55. Suppose 0 = -3*o + 8*o + x*o. Solve o = -3*d - 1 - g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11086.07842 to the nearest 100.\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.431*-74\nAnswer: -31.894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-78)\/(-24) + (-2)\/8. Let h(w) = w**2 - 2*w - 2. Let a be h(l). Suppose 2 - a = d. Solve d = -0*u - u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/4 + 9 + 1072 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3823339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 7*u**2 - 10*u - 11. Let t be m(-8). Suppose -15 + 0 = t*w. Let v = 4 + w. Do v and -2\/37 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714804195.\nAnswer: 3, 5, 7, 6807659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 4:05 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x**2 - x**2 - 4*x**2)*(0*x - 546*x - 665*x)*(-28*x - 38 + 38) in the form i*x**3 + p*x + g + o*x**4 + q*x**2 and give o.\nAnswer: -67816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 - -11. Let h be 14\/(-2)*8\/g. Suppose 2*v + 12 + h = 5*m, v = 3*m - 9. What is the remainder when 11 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + -4 - -39 - 38?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)\/sqrt(3)*-4 - (sqrt(5) - (sqrt(405) + -1)))*-1)**2.\nAnswer: -8*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 440\/146)\/(-1). Let f be (-94)\/146*9\/(-15). Let a = f + v. Put 3\/4, a, -4 in increasing order.\nAnswer: -4, a, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.93 and 0.4.\nAnswer: 3.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10559 = -17*u - 1906. What are the prime factors of u?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -9*s**2. Let p(d) = 2*d**2 - 177*d. What is p(c(h))?\nAnswer: 162*h**4 + 1593*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 33*o + 156. Let u(w) = -2*w**2 + 32*w + 154. Let z(b) = 4*s(b) - 3*u(b). Factor z(i).\nAnswer: 2*(i + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 23*n**5\/15 - 17*n**4\/6 - 158*n**2. Let m(h) = 4*h**2 - 3*h. Give 6*j(u) - 136*m(u).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - 4*k**2 + k**2)*(-21 + 21 + 6*k).\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/(-40) + (-2)\/(-5). Suppose v = 4*s - 0*s. Solve s = x + 8 - 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122900442?\nAnswer: 2, 3, 7, 2926201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 1626 = 1571. Let h be -2*1*-1 - -2. Suppose 5*j - 3 = -h*v - 13, 4*j = v + 13. Calculate the least common multiple of j and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-10) + 567\/15?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 16686*w**2 + 1.\nAnswer: -16686*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 563, 1262, 2239, 3494, 5027, 6838?\nAnswer: 8927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129115*y + 2 - 20*y**2 + 129111*y - 2.\nAnswer: -20*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 14 = -2*m, 5*k + m = 3*k. Let v = 0 - k. Let p(b) = 2*b**2 + b - 1. List the prime factors of p(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 431 or 429?\nAnswer: 429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -23 + -8 + 31?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*x + 4*j + 15028 = 261*x, -4*x + 20037 = -5*j. Is x a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7751 by -337.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 6. Find the second derivative of c*i - 28*i - 18*i + 6*i + 4*i**2 wrt i.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*j**2 + 4*j + 10*j**2 - j.\nAnswer: 63*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 + 1 - 7)\/((-3)\/223)?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**6\/240 + a**5\/60 + a**4\/48 - a**3\/6 - 5*a**2. Factor v(b).\nAnswer: -(b - 2)*(b - 1)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-584)\/219*(-6)\/32)\/(-14).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j*l**3*r + 22*j*l**2*r + 598*j*l**2 + 3*l**3*r + 49653*r wrt j.\nAnswer: l**3*r + 22*l**2*r + 598*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.29 + 0.11. Let r = -0.9 + g. Which is the third biggest value? (a) -4 (b) -1\/10 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -799, -796, -793, -790, -787, -784?\nAnswer: -781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 100 + 6?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 89446.36ml in litres?\nAnswer: 89.44636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-12)*(x*x*(x**(2\/25)\/x)\/x)\/x*(x**2)**(-30) assuming x is positive.\nAnswer: x**(-1823\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 31*l**4 - 17*l**2 - 17*l + 140. Let q(y) = -10*y**4 + 6*y**2 + 6*y - 47. Let z(g) = 6*k(g) + 17*q(g). Differentiate z(n) with respect to n.\nAnswer: 64*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 1525\/2921?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/6 - (-222)\/(-18). Let a be (u\/(-9))\/(2\/6). Solve -a*b - 15 - 1 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*2\/(-2)*(-44)\/(-55)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -57*w + 31\/8*w**4 + 1\/40*w**6 + 17\/20*w**5 + 15\/2*w**3 + 3*w**2 + 0. Factor v(d).\nAnswer: 3*(d + 1)**2*(d + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 1 + 9, -u = v + 10. Let s = -11 - u. Which is greater: s or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -303, -2519, -8553, -20319, -39731, -68703, -109149?\n\"Answer: -319*w**3 + 5*w**2 + 2*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5357850.1132+8.48\nAnswer: 5357858.5932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence blb when three letters picked without replacement from {l: 1, g: 5, b: 4}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 2*u = -8, -4*q = -q + 3*u - 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 313507434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t + 16*t + h = -99, -5*h - 47 = -t. Solve 15*r = 23*r + t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 47. Let i(g) = -g + 32 - a. Calculate i(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005817 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 140786029 to the power of 1\/2, to the nearest integer?\nAnswer: 11865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -185?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 149, 253, 309, 311, 253, 129, -67, -341?\n\"Answer: -p**3 - 18*p**2 + 165*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -10365, -3, -6, -1, -4, 5 in decreasing order.\nAnswer: 5, 2, -1, -3, -4, -6, -10365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4674 = 5329*g - 5215*g for g.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 13*v + 18. Let b be l(14). Let d be (-1)\/(-2) - (-6)\/4. Suppose -p - b*s + 7 = 0, d*p - 4*s + s = 14. Solve 2*x = p*x + 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/7 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unbuuububnbbbbuu. What is prob of picking 3 b?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 7586 = -4*s + 7240, q + 2*s = 4*s - 55 for q.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34085?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -1867*h. Let r(k) = 20*k**2 - 2*k + 100. What is y(r(f))?\nAnswer: -37340*f**2 + 3734*f - 186700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**7\/630 + i**5\/60 + i**4\/6 - i. Let z(a) be the third derivative of y(a). Find the first derivative of z(v) wrt v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, i: 8, c: 7, k: 1}. Give prob of picking 1 n and 1 c.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23616.7 + 23617. Put f, -2, 7\/29 in descending order.\nAnswer: f, 7\/29, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 5*k**2 - 9*k - 4. Let t be v(-6). Is 3 a factor of t\/10 + 10\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91394196 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 183 + -41 + -107 + -1.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 8. Calculate the smallest common multiple of b and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -j + 2. Suppose q + 2*b + 7 = 0, 5*q - b + j = -1. What is the second biggest value in -3, -2\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (182000\/45)\/7. Let w = v - -576. Factor w*c**2 + 0 + 2\/3*c.\nAnswer: 2*c*(c + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rijsojxiirrxxjx. What is prob of sequence jsrx?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 2*h. Let m be s(-3). Let i = -116.1 + 122. Let x = i + -7.9. Which is the closest to x? (a) 0.5 (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t*t**(-1\/8))\/t)\/t)\/t)**(-1\/6)\/(t*t**4)**(6\/19) assuming t is positive.\nAnswer: t**(-423\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(180) - sqrt(180))*5 + 5 + 4.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (250\/(-300))\/(10\/(-16)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*(j**(-36\/5)\/j)\/j)\/(j\/((j*j\/(j*j*j*j**(-7)))\/j)*j*j))**(1\/34))**(16\/5))**(-22) assuming j is positive.\nAnswer: j**(5456\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**3\/3 + 7*w**2\/2 - 14*w + 1. Let k be p(-10). Let m be k\/3*(-345)\/(-4). Round m to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d**2 - 7*d - 4. Let w(v) = 6*v**2 - 7*v - 5. Determine -5*m(l) + 4*w(l).\nAnswer: -l**2 + 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50545 + 80356. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 933*v - 3 + 3 - 101*v.\nAnswer: 832*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b + 17. Let c be h(-3). Solve 3*x + 0 = 3, 4*r = 3*x + c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 39*i**2 + 21*i - 75. List the prime factors of v(4).\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42372 + -4?\nAnswer: 42367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.2 + -8. Let p = z + 0.8. Which is the closest to 0.2? (a) -3 (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((2 + sqrt(17) + 4)*3)**2 - 3*(sqrt(1377) + (sqrt(1377) + sqrt(1377) + -3 - sqrt(1377)) + sqrt(1377))) + -3.\nAnswer: 27*sqrt(17) + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i**(-7\/3)*i)\/i)\/i*i*i\/i**(-10)*i*(i*i\/i**(-3\/7))**9 assuming i is positive.\nAnswer: i**(704\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -548*f**2 - 36*f**3 + 1096*f**2 - 550*f**2 - f**4 to a*f**4 + y + d*f**3 + s*f**2 + c*f and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*p + 105. Let h = -49 - p. Suppose 3*a = -3, 2*a = -t - 0*t + h. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l + 154. Let v be p(0). What is the greatest common divisor of 14 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 24*v + 9. Determine m(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2427805 (base 9) to base 3.\nAnswer: 2110221220012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-1*3)*1. Let m = -0.19 - -0.29. Suppose -1299*d - 224 = -1411*d. What is the second smallest value in a, d, -1\/6, m?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69\/383 or 1788?\nAnswer: 1788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 135 + -135.016. Round t to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 1\/24*c**5 + 0*c**3 - 14*c - 1\/720*c**6 + 0 + 11\/12*c**4 + 0*c**2. Let t(s) be the third derivative of a(s). Give t(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 11088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*m**3 - 81*m**3 + 25*m - 8*m - 115 - 16*m as s*m**2 + w*m + n + u*m**3 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 7:22 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5\/30*-4*(-18)\/(-54)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 115515321 (base 6) to base 15\nAnswer: 2e1ec4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.66243cm to nanometers.\nAnswer: 6624300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -73*y**6\/6 - 2*y**3\/3 + 15*y**2\/2 + 2*y + 97. What is the second derivative of a(l) wrt l?\nAnswer: -1460*l**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -5*a + 14, a + 5 - 12 = -5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05449 - 251.16449. Let d = u + 251. What is the third biggest value in -1, -1\/4, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 1, q: 1}. What is prob of sequence qa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1560 + -36?\nAnswer: -1626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -201681 take away 0.320729?\nAnswer: -201681.320729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3987 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 + 67. Let f(m) = 2*m + 1. Let g be f(-1). Sort -0.3, g, z in decreasing order.\nAnswer: -0.3, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r - 13*r = 48. Suppose 2 = 3*g + g + 2*i, 0 = 2*g - 2*i - r. Suppose 8*u - 98 = -4*a + g*u, -u + 2 = 0. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + y + 4 + (-8*y + 3*y - y)*(-3 + 1 + 6) + 12*y - 2*y + 0*y)*(22 + 38 - 13 - 3 + 18) to the form o*y + q and give o.\nAnswer: -806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 1)*(2 - 7 + 2)*(p - 2*p + 2*p).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(91)*-4 - -2*sqrt(91)*6)\/(sqrt(35)\/sqrt(45) + 1*sqrt(42)\/sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 762969014569 and -0.0158.\nAnswer: 762969014568.9842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55812 is divided by 17362.\nAnswer: 3726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2*(7\/56*8)\/(1\/(-5))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -176798 + 61879353\/350. Calculate the common denominator of x and -47\/350.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -241*m + 477*m - 239*m - 127 in the form d*m + p and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -303, -949, -1939, -3273, -4951?\nAnswer: -6973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 7.02?\nAnswer: 7.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15\/53 + -219\/212. Which is the third smallest value? (a) -1\/11 (b) 0.2 (c) 3 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -661227 (base 13) to base 4.\nAnswer: -21022112130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 11*p**3 - 7*p**2 - 38*p - 20. Let z(l) = 12*l + 2*l + 13*l**2 + 40 - 24*l**3 + 39*l + 24*l. Let n(t) = -7*h(t) - 3*z(t). Find d, given that n(d) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 43 = 4*h - 5*y, 5*y = 2*h - 11. Let j(t) = -2*t**3 + 25*t**2 + 46*t - 51. Let x be j(14). Solve -x*p + h + 7 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 563827 to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-81) + 132\/(-1782)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 56*y**2 + 119*y + 534. Calculate o(-54).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 5*s**2 + 5*s. Let x = -9 - -5. Let m be y(x). Let h = 0.1 + -5.1. What is the third smallest value in m, h, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 7:06 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 13. Suppose 3 = 2*n - x*n. Put n, 1\/15, 1 in increasing order.\nAnswer: n, 1\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91*l**3 - 59*l**2 - 13*l + 443.\nAnswer: -546*l - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5 = -3*w + 3*m, -5*w + 35 = 5*m. Suppose -g + 3 = -1, 0 = w*c - 5*g. Let o = c + -7. Solve -o*k + 9 = 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + 4*i + 1. Let v(f) = -f**2 - 2*f - 1. Let r(z) = 5*v(z) + 3*x(z). Suppose -w + 6 = -2*a, 6*w - 15 = 5*a + 3*w. What is r(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 34 - cbc?\nAnswer: -c88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -192 (base 10) to base 6\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*y - 5*y - 4*y)*(30*y**2 - 30*y**2 + 3*y**3) in the form p*y + u + l*y**2 + a*y**3 + t*y**4 and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 107 - (-2)\/(88\/16 + -6)?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from laaal.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31320, -31318, -31316, -31314, -31312?\n\"Answer: 2*s - 31322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9491545 by -38741.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 2 - (7 - (2 - -4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-48)\/(-20)*205\/123. Suppose m - 2*m + n = -4, 5*m = -4*n + 56. Solve f*q + 3*j = 3*q, -5*j + m = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -29*t**5\/20 + t**4\/6 - t**3\/3 + 3215*t. Let d(w) = -w**3 - w**2 + w. Give 2*d(a) + o(a).\nAnswer: -31*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/1750981 + 6977929\/45516751095. Let h = -424409\/1143780 - x. Find the common denominator of 23\/12 and h.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + -1*(sqrt(4212) + -1))*-6)**2*4.\nAnswer: -103680*sqrt(13) + 2440512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 14 = 2*z. Let n be 26\/7 + 184\/644. Solve -d + n*i = 9, -3*d + 25 = 3*i + z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 4*y + 8348 = 8201, 2*y + 10606 = -200*t for t.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1499313 - 1006613. What is o rounded to the nearest 10000?\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/1 + (38 - 36). Let j(s) = 5*s**3 - 4. Let v(x) = x**3. Give l*v(y) - j(y).\nAnswer: -y**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - m - 9 = -34, 5*f - m - 55 = 0. Calculate the least common multiple of 25 and f.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -2\/15 (c) 36 (d) -2\/9 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18503865?\nAnswer: 3, 5, 411197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/2 (b) -5 (c) 56 (d) -57411\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71060 divided by -14212.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -707 + 3242 = 15*n. Let h(b) = -91 + b + n + b**2 - 90. Determine h(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 g when four letters picked without replacement from {a: 2, g: 4, m: 3}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 52 + 547 = 0. What are the prime factors of (-4734)\/(-22) + 909\/f + 9?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 71.2, -2\/5, -43, 1\/8, 0?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (-5 + sqrt(1700) + sqrt(1700)*-2 - sqrt(1700)) + -3*(sqrt(1700)*1 - sqrt(1700)))**2 + 0)*5.\nAnswer: 1800*sqrt(17) + 34405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 2. Let z(a) = -26*a**4 + 5*a**3 - 9*a**2 - 950*a + 10. Let i(m) = -5*j(m) - z(m). Find the second derivative of i(k) wrt k.\nAnswer: 312*k**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-145)\/2175*10\/(-1)*-21\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6 + 0 - 1 - 1 + (-2 + 6 - 2)*(-2 - 1 + 1) - 3 + 1 + 0)*(13 - 14*q**3 - 13).\nAnswer: 140*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 254807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -3*o + 18. Let b be 1\/(-5)*o\/(-372). Suppose -157*s - 6 = -151*s. Which is greater: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*y - 17 = 0, 4 - 15 = -2*m - y. Suppose -m*t = -3*t - 14. Which is bigger: t or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 + 58*s + 68. Calculate the remainder when c(25) is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -11. Let q be -21*(-4)\/(-30)*c. Suppose -6*n + 2*n + 40 = 2*m, 2*n - 2*m - q = 0. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0.5. Let o = -0.13 - 0.57. Let z = i + o. What is the nearest to 2\/7 in 1, 1\/3, z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*n = -95*n + 35 - 13 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -39 - 3\/2*n**2 + 18*n. Give s(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 13\/2. Let c = -16 - -18. Let u = c + -7\/4. What is the nearest to u in -0.1, f, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133700973 divided by 3.\nAnswer: 44566991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 12*j - 10*j**2 + 12*j - 20.\nAnswer: -10*j**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.2968.\nAnswer: -0.02968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2973*x**2 - 2971*x**2 + 891*x + 399*x - 1 to h + m*x + w*x**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 9. Suppose -2*y - p = -71. Is (-2 + 1 - -1) + y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 6:18 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1040.00744 - 1040. Round s to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*m - 84. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010 - 1110010111000101?\nAnswer: -1110010111100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6\/11)*z)\/z)\/z*(z*z\/(((z*z\/z**6)\/z)\/z))\/z*z*z**(-6)\/z*z**(-2\/25) assuming z is positive.\nAnswer: z**(-172\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w - 30255 = w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6458.1 - -6458. Let h = -0.09 + -4.91. Which is the closest to -3\/7? (a) h (b) 1\/2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*u + 79*u - 13881233 + 13881233.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552*w = -84*w + 1940 + 1876 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, d: 7, v: 4, s: 1, e: 1}. What is prob of sequence wv?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136945?\nAnswer: 5, 61, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kvbjjbjvjkb. What is prob of sequence kjk?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*j - 0*j. Let c = j + -2. Let o = c - -8. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14629757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 12*r**2 + 15*r + 190. Let z be t(-12). Solve z*y - 29 = -79 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5420604 and 175686?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.02*1879.\nAnswer: -1916.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*o - 6, 2*x + 1 = -3*x + 4*o. Let l(a) = -1 + a**3 + x*a + 26*a**2 - 10*a - 32*a**2. What is l(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 2*c**2 - 41*c - 64. Let x be j(-4). Let t = -0.05 - 4.95. Let d = 5.2 + t. What is the closest to 1 in d, x, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 10. Let c(z) = -z**3 - z + 6 - 3*z**2 + 0*z**3 - 2*z**2 + o*z. What is the units digit of c(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -6. Let x = -0.02 - -0.52. Let k = x - 0.4. Which is the second smallest value? (a) k (b) z (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -56, -48?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -508*z**3 - 2*z**2 - 10*z - 545. Let b(r) = 254*r**3 + r**2 + 4*r + 273. Let q(v) = 5*b(v) + 2*h(v). Differentiate q(j) wrt j.\nAnswer: 762*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) + -5*sqrt(144))\/sqrt(2))**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43787 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -407229 + 1221688\/3. Let b = -0.9 + 1. What is the closest to b in v, 2\/11, 0, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/37)*o**(16\/7)*(o\/(o*o*o*o\/o**(2\/11))*o)**(-3\/13))**31 assuming o is positive.\nAnswer: o**(3168138\/37037)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = r, o + 5*r = 24. Which is the third smallest value? (a) o (b) 4 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504\/10 - 6\/(-10) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-72)\/(-576) - (-99343)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5\/5 + 135946*i**4\/5 + 616007574*i**3 + 23255311147614*i**2\/5 - 93070533897432*i\/5.\nAnswer: 2*i*(i - 4)*(i + 22659)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461 is divided by 218.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46 + 0*r**2 - 238 - 2*r**2 - 302 + 131 to p*r**2 + z + g*r and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a01620 (base 12) in base 15?\nAnswer: 732bd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3620\/31 or -117?\nAnswer: -3620\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 7 - 1) + -16 - (-7 - -2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*y - 2. Suppose -y*x - 50 = -7*x. Let q be 14\/35*x\/1. Put q, -4, 2 in decreasing order.\nAnswer: q, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**(-1\/5)*b)\/b*b))**(-12)*(b**(4\/9)*b)\/b**(-7) assuming b is positive.\nAnswer: b**(272\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 847\/2 + -9269\/22. Is z less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -53\/2 (b) -41 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4) - (-62)\/(-496)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxfxmox. What is prob of sequence fxmo?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 109227, 218464, 327717, 436998, 546319?\n\"Answer: 2*f**3 - 4*f**2 + 109235*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 3*c + 2. Let v be j(-2). Suppose 0 = 2*b - 10. Suppose -b*n + v*n + 28 = 0. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/9)\/h*h)**(-7\/6))**(-42) assuming h is positive.\nAnswer: h**(-49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 11*u**3 - 508*u**2 + 89*u + 142. What is i(46)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 2*z - 24 = 0, 7*z + 6 = -5*t - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1903 is divided by 1840.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -10.66.\nAnswer: -10.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**5\/120 - c**4\/2 - c**3 + 6. Let k(z) be the third derivative of j(z). Determine k(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 + 62. Let d be (6\/(-7))\/(1\/(-7)). Suppose -d + 26 = 4*l. Put w, 4, l in decreasing order.\nAnswer: l, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32987559071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36.198019983 + 36.198. Round v to six decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18420290?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12 and 57\/125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 145\/138*j**4 - 20\/23*j**3 - 15\/23*j**5 - 8\/483*j**7 + 9\/23*j**2 - 177*j + 4\/23*j**6 + 0. Factor y(p).\nAnswer: -2*(p - 3)**2*(2*p - 1)**3\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - ((1 + -12)\/(-33))\/(-11 + (-2636)\/(-240)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 984 - 601 - 383 + 16*x**2.\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/8*8\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*g + 50*g - 17*g + 2 - 2 - 2*g + (g + 0*g + g)*(3 - 3 - 1) - g - 2 + 2 + 16*g - 14*g + 50*g.\nAnswer: 101*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/46)\/k*k*k**(-17))\/(k*k**(-17)*k)**15)**(-5\/7) assuming k is positive.\nAnswer: k**(-48075\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -39420 divided by -6?\nAnswer: 6570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120238 = -6*w - 120280 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3)*(2 + 4 + 39). Let z be (2\/(-18))\/(4 + k\/20). Is z <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (3 - (21 - 32)) + -23?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31070938 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/115, 0.1, -2\/9, -4 in decreasing order.\nAnswer: 5, 0.1, -2\/115, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1568)\/52 + 2\/13. What is the remainder when 4\/g - (-3342)\/90 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 10*r + 58. Suppose 2*m + 3*m = -2*x - 5, 2 = 2*m. Let b be j(x). What is the greatest common divisor of b and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(128))*-1 + sqrt(128) + 1*sqrt(128)*-5 + sqrt(128))*2 - (4*(0 + sqrt(128)) + (sqrt(128) + 2 + 4 - sqrt(128)) + sqrt(128)))**2.\nAnswer: 832*sqrt(2) + 21648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Let q(j) = j**2. Let x be q(0). Suppose v = -2*z - 3*v + 28, x = 2*v + 2. Solve -2*n + z = -4*t, 5*n = -4*t + o*t + 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58528 times -5.833\nAnswer: -341393.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5292 and 19884396?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**4 + 368818*h**3 + 1106466*h**2 + 1106470*h + 368824 = 0?\nAnswer: -1, 184412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*u - 508 = -9*i, -2*i = -3*u - 212. Is 20 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 50*r - 5. Let i be j(4). Suppose -3*h = -558 - i. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -48, -54, -50, -30, 12, 82, 186?\n\"Answer: w**3 - w**2 - 10*w - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/6216 and 53\/12264.\nAnswer: 453768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - ((-4 - (-16 + (10 - 2))) + -9).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71 + 110. Let o = j - 34. What is the third biggest value in 0.5, -5, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**(2\/17))**19\/((y**5\/y*y*y**(-4))\/(y**(-3)\/(y*y**0))) assuming y is positive.\nAnswer: y**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26117?\nAnswer: 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 + y**2 + 22*y**2)*(2*y**3 + 2*y**3 - 3*y**3) + ((-2*y + 2*y - y)*(0*y - y - y) - y**2 - 2 + 2)*(-y**3 - 3*y**2 + 3*y**2).\nAnswer: 25*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/240 and -63\/80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2230*r + 1106*r + 132 = -1102*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 16*k**2 + 14*k - 47. Let a be w(-17). Solve 2*m - 14 = -3*q + 5, a*m = -4*q + 28 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 16*u - 3*g = -51, -3*u = -2*g - 16 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -5167, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17949261 by -3.\nAnswer: -5983087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 174878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -321956620, -321956619, -321956618, -321956617?\nAnswer: -321956616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h = 9*h - 40 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 41042\nAnswer: -82084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 85 + 227. Is 2 a factor of (1*(0 + -2))\/((-26)\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -81*s - 2022. What is k(-25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -5*o. Let c = 9 + o. What is the smallest common multiple of c and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((10\/(-141))\/(-5))\/(2\/(-3)). Let u = -107\/611 - i. Which is the closest to -0.2? (a) 2 (b) u (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 51*m**2 - 134*m - 1483. Let d be f(-53). Let r(h) = 80*h**3 + 20*h**2 - 20*h + 20. Let g(l) = -l**3 - l**2 + l - 1. Give d*r(v) + 20*g(v).\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 1, e: 1}. What is prob of picking 1 e and 1 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -772 divided by -5\nAnswer: 772\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.335616656 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3*((sqrt(52) - sqrt(208)\/sqrt(4))\/sqrt(4) + sqrt(13) + 1))**2.\nAnswer: 18*sqrt(13) + 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/10 - (-26)\/(-65).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.027238692 to 5 decimal places.\nAnswer: 0.02724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-8)\/(-6) + (-16)\/(-6). Suppose -j*c - 3*k + 34 = -103, 143 = 4*c - 3*k. What is the greatest common divisor of c and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*t - 4*x + 4, 0 = -2*x + 4. Let m = t + 0. Which is the third smallest value? (a) -1\/4 (b) -1\/2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-5\/4)*n**11\/n)\/(n*n**39*n*(n*n\/n**20)\/n) assuming n is positive.\nAnswer: n**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10087, 14128, 18169?\n\"Answer: 4041*y + 6046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -183*((-4)\/36)\/((-8)\/(-24)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -4) + -7 + 9 - 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11231 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 2:04 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(-4)\/k*k)*k\/(k\/k**6)*k**(2\/9)\/k**(-5\/4) assuming k is positive.\nAnswer: k**(449\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14131*z - 4 + 14139*z + 4 - 28267*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 2:07 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 23. Give u(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 1086*z**2 + 12*z - 3. Let d be i(-4). Is 11 a factor of (12\/22)\/(-3) - d\/(-121)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -3. Suppose 7*r - g*r - 20 = 0. Suppose 12 = 2*i - 0*d + d, 3*i + r*d = 13. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/11 - 34*u**2\/11 + 60*u\/11.\nAnswer: 2*u*(u - 15)*(u - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 1)*(11 + 6*z - 11 + (z - 6*z + 3*z)*(1 - 3 + 3) - 2*z + 0*z + z + z - 2*z + 2*z).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(126) + sqrt(126) + sqrt(126)*1))\/((-3*sqrt(35)*-3)\/sqrt(5)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3017, -6037, -9057?\n\"Answer: -3020*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - -4. Differentiate g**4 - 25*g**3 + 5*g**4 + 6 + d*g**3 with respect to g.\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*h + 26*h - 16*h + 79*h to the form c*h + x and give c.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-3)\/(-12)) - 44\/(-10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 4*t - 3 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sccuccccctttcttcm. Give prob of sequence sm.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9871, -13453, -19417, -27757, -38467, -51541, -66973, -84757?\nAnswer: -104887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19981\/999 + 751\/37. Let h(i) be the third derivative of 0*i - 1\/540*i**6 - 1\/9*i**4 - u*i**3 + 0 - 1\/45*i**5 + 12*i**2. Find z, given that h(z) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5678 + -5662. What is the remainder when (-2)\/(-5) + (-456)\/(-10) is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -38*h + 3. Let m(o) = 6*o. What is m(r(g))?\nAnswer: -228*g + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 214, -5, 114, 2, -3, 1 in descending order.\nAnswer: 214, 114, 2, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214283 (base 9) to base 12.\nAnswer: 61b70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 16, -2*t + 1808 - 1812 = v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -548863.\nAnswer: -15\/548863","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 4 + 6. Let v(q) = -q**2 + 7*q - 5. Let u be v(4). Let s(a) = -5*a - a**3 + 0 + a**2 + 6 - u*a**2. Give s(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 17*o - 8330 = 0. Let n = -958 + o. Suppose -n = -3*v - 3*v. List the prime factors of v.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1096*x - 6093 = -11927 - 20470 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -965\/18 - -280\/9. Let h = 23 + v. Determine m, given that 1\/2*m**2 + 0 - 1\/2*m**3 + 1\/2*m - h*m**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -418.5 (b) -3\/5 (c) 0 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 108?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -381, -833, -1467, -2283, -3281?\nAnswer: -4461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*p = -0*y - 19, -2*p + 4 = 0. Let s be (-27)\/2 - y\/(-6). Let z = s + 21. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 95709.14 nanograms?\nAnswer: 0.00000000009570914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1200352 and 648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165\/1100*(-2)\/(-3).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q - 8. Let t be r(3). Let x(b) = b**2. Let f(w) be the second derivative of w**4\/3 - w**3\/6 + w. Suppose 7 = -2*g + 3. Give g*x(a) + t*f(a).\nAnswer: 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 159 (c) -24\/11 (d) -14 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 10*l - 4. Let i be 0\/(21\/14*-2). Suppose i = -30*z + 46*z + 144. Give m(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (10 + (-15 - -17))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = -19*s - 2*o, -308*s + 313*s + 2*o = 21 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2183\/150 - 3068\/25. Let p = 99 + m. Let l = -21506\/957 - -1963\/87. Find the common denominator of l and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) 1\/6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 113216, 113225, 113236, 113249, 113264, 113281?\n\"Answer: c**2 + 6*c + 113209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-6)\/5)\/((-27)\/(-30))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64723 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9c (base 16) in base 4?\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**2 - 2*a**2 - a + 5 + 4*a**3 + 6*a - 3*a**3. What is the lowest common multiple of 7 + ((-18)\/(-4) + -4)*-8 and v(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 6:43 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 7*n**2 - 8*n + 4. Suppose -5*h + 5*o - 9*o - 24 = 0, 3*h + o + 20 = 0. Let r be m(h). Solve 0 = a - 5*b + 3, -r*a + 0*a + 13 = 5*b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 3 = 4*i + 5, 3*f = 2*i - 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1418153 - 18?\nAnswer: 1418138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -362 - -361. Let m be -5 - (-9)\/(-3) - -3. Let n be m\/(-15) - 4\/3. Which is the closest to w? (a) n (b) 5 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 780404 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36.002 + -36. Let x = 0.102 - t. What is the nearest to x in 4\/7, -5, 5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + -26?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 0.3 (b) -1\/4 (c) -6 (d) -3.38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 815, 803, 791, 779, 767?\nAnswer: 755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -630.643 + 0.643. Let w = o + 654. Let j = 0 - -0.1. Which is the second smallest value? (a) w (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -1\/12*t**4 + 1\/3*t**3 + 0*t + 0 + 2*t**2 - 1\/20*t**5. Let u be 3\/((-30)\/4)*5. What is a(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -8. Let b(o) = 4*o**2 + 3*o - 3. Let p(s) = 3139 - 12538 - s + 2*s + 3131 + 3131 + s**2 + 3136. Give w*b(h) + 15*p(h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1163\/72 + -129\/8. Let b(p) be the third derivative of 0*p**3 - 1\/180*p**5 + 0*p - 2*p**2 + i*p**4 + 0. Factor b(a).\nAnswer: -a*(a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (33547 + 1)*(-2 - 88\/(-32))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-38)*30\/(-15)*-1.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**6\/24 - 5*l**3\/3 - 3*l**2 - 4*l. Let m(h) be the first derivative of c(h). Differentiate m(a) wrt a.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -2. Suppose -202 = f*m - 3*g - 846, 4*m + g - 505 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = c - 6, c - 5*p - 6 = -0. Let d be 256\/c*9\/6. Let o = d - 33. What is the remainder when 123 is divided by o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l - 260 = 22*l - 137*l + 1090 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3) - 34\/(-6). Suppose 25 = i*x - 0. Suppose -2*m = -n - 95, 2*n - 80 = -0*m - 2*m. What is the greatest common factor of x and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36277369567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2215 = k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*m - 3)*(50 + 63 + 46).\nAnswer: -318*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2)*108\/(-3). Let f be 49\/3 + (-2)\/6. Let m = f + -7. What is the greatest common factor of m and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**3\/7 + 32938*q**2\/7 - 427936*q\/7 + 1316480\/7 = 0.\nAnswer: 5, 8, 16456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 768099*k**2 + 876247*k?\nAnswer: 1536198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 942\/(-8)*(-8)\/3. Suppose 2*p = 4*p - r. Suppose -4*z - 3*j + p = 2*j, j = 1. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from {c: 1, t: 2, f: 6, v: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.9341 - 3.3341. Which is the biggest value? (a) 4\/41 (b) -3\/2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6050? (a) -4 (b) -0.01 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7 and -446704075744.\nAnswer: -446704075751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**3 + 5645*h**2 + 226220*h + 1798720 = 0. What is h?\nAnswer: -28, -11, 1168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**3 + 56*x**2 - 26*x - 132. Let l be z(-19). Are -1\/20451 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1278*l*x**3 + 3*l*x**2 - 21074*l + x**4 wrt x?\nAnswer: 3834*l*x**2 + 6*l*x + 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 451085119 to the nearest integer?\nAnswer: 21239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/3849385 and 113\/38493850.\nAnswer: 38493850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, z: 1, t: 6}. Give prob of picking 2 t.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 8*d**3 + 2*d**2 - d - 1. Let t be w(-2). Let j = 219\/4 + t. Which is the third smallest value? (a) 0.1 (b) 1\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -151\/30 + 26\/5. Let x = 138 - -13.7. Let d = x - 151.69. What is the third biggest value in k, d, 2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.64 times -23?\nAnswer: 14.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 0.14973.\nAnswer: 1.34757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - h**2 + h. Let k(s) = 3*s**3 + 6*s**2 - 3*s. What is k(y) + 6*r(y)?\nAnswer: -3*y**3 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/47090 and 101\/13850?\nAnswer: 235450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 157 = -155 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1240 and 114979.\nAnswer: 4599160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -399 divided by 74148.\nAnswer: -133\/24716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46848890*f**4 + 72626135*f**2 wrt f?\nAnswer: -1124373360*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -8 (b) 2\/11 (c) 9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 377 + 115. Let a = -112 + d. What is the remainder when 38 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007966216297 rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/267060 and 17\/534120.\nAnswer: 534120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 - 3?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hll when three letters picked without replacement from {l: 11, w: 3, h: 4, o: 1}.\nAnswer: 220\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/170973 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 19*f**2 + 1014*f - 8825. Determine n(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - w + 1, -w = -2137*z - 2139*z + 4277*z + 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 + -5. Let n = f - -1. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398*f**3 + 513*f**3 - 950*f**3.\nAnswer: -39*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2) + (-13 + -10 + 14 - -9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319494.\nAnswer: 2, 3, 7, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.122 times 22\nAnswer: -2.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 + 17*b**3 + 15*b**3 - 3*b - 46*b**3 - 61 - 22 + 16*b**3 to p + k*b + q*b**3 + o*b**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -186103 to the nearest one hundred.\nAnswer: -186100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2, 5, 2\/5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqwswynsqsq. Give prob of picking 1 w and 1 q.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1425, -5659, -12715, -22593, -35293?\n\"Answer: -1411*q**2 - q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 46 = -2*k, -3*z + 5*k - k - 55 = 0. Is 6 a factor of (-1077)\/z + -2 + (-8)\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 - d**2 - 15*d + 6. Calculate the remainder when h(4) 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 11198780*l*u**3 - 2*l*u**2 - 2*l*u + l + 69115 wrt u?\nAnswer: 67192680*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((2 - 1)\/8). Let g = 20 - m. Suppose g*a - 5*a - 5*t + 49 = 0, -3*t - 59 = -2*a. Does 25 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4257000 to the nearest 100000.\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -65 - -65 - (2 + (2 - 0)) - 4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1 - 15390552*z**2 + 15390552*z**2 + 5 - 163*z**3.\nAnswer: -163*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -10*j + 6*j - j + j. Let o(p) = 31*p. Let t(y) = 36*m(y) + 4*o(y). Let k(l) = 6*l - 2*l**2 + 0*l**2 - 6*l. Give t(k(u)).\nAnswer: 40*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**5\/60 - u**4\/3 + u**3\/6 + 3*u**2. What is the units digit of w(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f - 9. What is the tens digit of s(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 16*f - 26*f. Suppose -19 = a + 5*c, f*c - 3*c = 4*a. Let l(m) = -14*m**3 + 5*m**2 + m - 6*m**2 + 0*m. Calculate l(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/((-5)\/(70\/(-7)))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + -42.88. Let x = 0.88 + v. Which is the second smallest value? (a) x (b) 0.1 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 6*w + 4*h + 13, w = -3*h - 13. Let z be (-10)\/(-4) + w\/(-26). Suppose 4 = s, -2*g + 0*s + 3*s - 2 = 0. Solve -z*i + 4 = -g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**3 - 2*n**2 + 2*n + 2. Let h(w) = -3*w**2 + 0*w + 3 - 15*w**2 + 0*w**2 + 2*w + 15*w**2 + 5*w**3. Give -2*h(t) + 3*i(t).\nAnswer: 5*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 10, -109 in descending order.\nAnswer: 10, 0, -2, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.2, 0, 13, 2\/5, 2\/83, 4 in decreasing order.\nAnswer: 13, 4, 2\/5, 2\/83, 0, -5.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 783599259?\nAnswer: 3, 23, 2837, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 7 + 0)*(-6*i**3 + 14*i**3 - 13*i**3) + (-3*i + 3*i - i**2)*(3*i - i - 3*i).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 8. Let x(i) = i - 15. Let w(n) = 7*l(n) - 4*x(n). Give w(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 148293?\nAnswer: 741465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (15\/5)\/((-1)\/((-2)\/(-14)))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 600, 33, -4 in increasing order.\nAnswer: -4, 0, 33, 600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 283716842 to the power of 1\/3, to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 28 and 22 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k. Let f(s) be the first derivative of 4*s**2 + 2721. What is f(n(q))?\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.11 - 0.09. Let b = 0.32 - d. Let k = 0.5 - b. What is the closest to -0.2 in k, 3\/4, -2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3025 * 163.\nAnswer: -493075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92521630?\nAnswer: 2, 5, 2309, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 11. Suppose -40*v + 92 = -17*v. Suppose 4*f - 6 = z*y, f - 2 = v*y - 11. Solve -j + 2*j + 14 = y*d, -d + 4*j + 23 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-378)*7)\/((-1)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 13, -5, -1, -19.\nAnswer: -19, -5, -1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 7*w - 2*w)*(-2 + 16 - 9) + (-1 + 1 + 1)*(-3*w + 6*w - 2*w) - 3 + 2*w + 3.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + 672*m - 1405*m - 5*m**2 + 733*m.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 + m**2 - 5*m + 1. Let i(r) = r**3 + r - 1. Let u(v) = 3*i(v) + n(v). Let d be u(0). What is the closest to 0.5 in 5, d, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**6\/120 + w**5\/20 - 5*w**4\/24 - w**3 - 5*w**2. Let s = 5 + -9. Let t be f(s). Put -9, t, -5 in descending order.\nAnswer: t, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a millennium in months?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -18*j + 148. Give l(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 5*v**3 + 213*v**2 + 324*v - 164 = 0.\nAnswer: -41, -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -16*p**2 + 8*p - 164. Let c(l) = -l**2 + l + 1. Give 8*c(h) - o(h).\nAnswer: 8*h**2 + 172","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 16 = -2*j + 8*v + 60 - 15, 0 = -j + 5*v + 26 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 3) to base 2\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 11*n - 4*a = -29, -25 = 4*n - 5*a. Sort -2\/7, n, -102, 4 in ascending order.\nAnswer: -102, n, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(36\/6)\/162?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 12*v + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4736315?\nAnswer: 5, 947263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1613630, -3227253, -4840858, -6454439, -8067990, -9681505, -11294978, -12908403?\nAnswer: -14521774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-25)*8\/(-64)*10)\/(21\/392)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 50*g**3 - 370*g**2 + 75*g - 38680365?\nAnswer: 150*g**2 - 740*g + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**0*g*g\/(g**(-2\/9)\/g))**27 assuming g is positive.\nAnswer: g**141","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, b: 2, h: 2, z: 4, j: 2, c: 3}. Give prob of sequence hhj.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**2 + 40804*b - 12724152 = 0.\nAnswer: 322, 9879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(468)\/(sqrt(108) - sqrt(12)))\/sqrt(3) + (sqrt(325) - (1*sqrt(325) - sqrt(325)) - 1*sqrt(832))*-5.\nAnswer: -1 + 31*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/450 (b) -1\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((1*sqrt(162))\/sqrt(6))**2 - ((sqrt(126)\/sqrt(6))\/sqrt(7) - -6*sqrt(3)*-4))*3*5.\nAnswer: 480 + 345*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 70346856 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2) + (-1)\/(-10). Let s = -0.4 + 0.4. What is the closest to 0.1 in s, r, -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23966?\nAnswer: 2, 23, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 26*y + 10. Give k(-20).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -81*x - 202. Calculate f(1).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6146918047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -2*c + 21*o - 52, -1702*c + 8 = -1701*c + 5*o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t. Give z(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/13, -642744, -5?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a day in seconds?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.61 (b) 1 (c) 5 (d) 2\/5 (e) -5\/2 (f) -344\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4 + 111*n**3 - 38376*n**2 - 4891536*n = 0. Calculate n.\nAnswer: -156, 0, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 3:31 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1585 + -783. What is the remainder when r is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h - 38. Let c be a(6). Suppose -5 = -5*s - 5*l + 40, c*s - 4*l = -4. Suppose 5*q - d = -30, -2*q + 5*q = -s*d + 5. Which is bigger: -4 or q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2906 and 1793629696.\nAnswer: 2906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 49 = 5*h - 51, 2*h + 16 = -3*y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.17 and 2.82.\nAnswer: 0.4794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 508 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8833 - 8809. Calculate the highest common factor of 348 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46\/7 - 676\/105. What is the third smallest value in 15, 3, 2, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -h + 9, -3*y + 4*h - 4 = 32. Suppose -3*u + 7672 = u. Suppose -8*x + x + u = y. What are the prime factors of x?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-69)\/(-690)*1*10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30176 (base 8) in base 13?\nAnswer: 585c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -284 (base 15) in base 8?\nAnswer: -1076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 9:55 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/4 and 115\/8334?\nAnswer: 16668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + -39. Let w = 47 + z. Let q be 1*w\/(-18)*2. Which is smaller: -0.22 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 3*z + 4)*(4 - 2 - 4) + (1 - 2 - 1)*(-2 + 2 + 2*z) to the form g*z + a and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 393*q + 2898.\nAnswer: -3*(q - 138)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18161?\nAnswer: 11, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 14 = z, -29*z + 25*z + 6*x - 1 = -x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -16.4836\nAnswer: -65.9344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*r + 14894 = -110*r. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 328, 1290, 2892, 5134, 8016, 11538, 15700?\n\"Answer: 320*v**2 + 2*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5623408 litres?\nAnswer: 562.3408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + -1 + (-3)\/3. Let o(d) = -d - 8. Let y be o(v). Is 4248\/54 + (-1)\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3288 rounded to 2 dps?\nAnswer: -4.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -5*i + 109 - 123, -2*v - 20 = 4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -95, -139, -183?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1318944\nAnswer: -1\/439648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6069 is divided by 131?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 2*d**2 - 3*d - 2. Let r(o) = 4*o**3 + 9*o**2 - 13*o - 9. Let b(u) = u**2 - 10*u + 14. Let a be b(8). Determine a*r(j) + 9*f(j).\nAnswer: j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n - 6, -3*p = 5*n - 516. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 1)*(-2*g + 0*g - g + (0 + 3 - 5)*(33*g + 16 - 16)) to f*g + h and give f.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*p + 3*p = 21, -3*p + 12 = 0. Suppose -4*h = 3*x - 23 - c, 5*h + 3*x = 40. Solve -v = v - h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**2\/5 + 17244*k\/5 + 34476\/5 = 0. What is k?\nAnswer: -5746, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 31 = 529*u - 534*u, 2*w = -4*u + 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6225 and 900?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -885 - -22104\/25. Calculate the common denominator of j and 22\/5.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (5*-3*sqrt(1539))**2)*-3.\nAnswer: -1038816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/16)\/(1\/(-4)). Let c = 226 - 227. Sort g, c, -6 in increasing order.\nAnswer: -6, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -545\/4 + 137. Let j = 1 - 1.3. Let u = -0.8 - j. What is the second smallest value in q, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2060103.\nAnswer: 3, 59, 103, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-2\/43))**(12\/11)\/(n**(5\/3)\/n*n*n**(-14)) assuming n is positive.\nAnswer: n**(19121\/1419)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.6597972 + 1.66. Round r to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 661696 and 74272?\nAnswer: 7278656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-149086)\/(-10) + (-4)\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*m + 23*m + 34*m + 408*m.\nAnswer: 508*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*u - 179*u**2 + 125*u.\nAnswer: -179*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 55 = 15. What is the tens digit of (-136)\/y + 14\/35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17 + 4*d**2 - 6*d**2 - 15.\nAnswer: -2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 5\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -1\/4*q**4 + 89 - 1\/3*q**3 - 3*q + 2*q**2. What is s(3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2. Let h(j) = 56*j**2. Let o(s) = 18*s**2. Let d(v) = -3*h(v) + 10*o(v). Determine d(m(k)).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 - -110. Calculate the remainder when f is divided by 14 + (1 + 0)\/1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1183070*d**3 + 2524645*d**2.\nAnswer: -7098420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 4\/(-24) + (-10)\/(-24). Which is smaller: j or 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55270913?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_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: Suppose 0 = 11*r - 22 - 44. Suppose 0 = 4*s + 5*a - 53, 5*a = -5*s + 104 - 39. Is r <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35.66 + -34.66. Suppose 0 = n - f - 2, 0 = 4*n + 2*f - 3*f - 2. Which is the nearest to n? (a) 0.02 (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*l - 113 + 1 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 27, -1.\nAnswer: -1, 27, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 7*t**2 - 5*t + 15. Let n be m(9). Suppose -2*h - n = -4*c, 4*c - h - 3*h = 1276. Let a = -5340\/17 + c. Is a greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4 = -4*y, -3*y + 2*k - 3 = 5*k. Which is smaller: -32\/129 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)*2 - sqrt(21))\/sqrt(3) + -2.\nAnswer: -2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629047 is divided by 36960?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93122\/7376 + -15*(1 - 0) + 2.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5 = -5*d, -3*d + 4*w = -2*d - 24. Suppose d*n - 3 = n. Is -37*(0 + (0 - n)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 8*p**2 + 31*p + 124. Calculate the remainder when y(-6) is divided by 36\/10 - (-2)\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 4*o**2 + 4*o + 4. Let z(c) = -c + 0*c - c + 9 + 0*c. Let i be z(6). What is the units digit of f(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*b + 19*b + 12. Suppose -2*s - s + 2*d = 54, 5*s + 91 = 3*d. Calculate the lowest common multiple of (2 - 3)*(s - 2) and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r. Let c(a) = -9*a + 4*a - 7*a + 0*a. Let z(l) = -3*c(l) + 32*k(l). Let f(b) = 2*b**2. Calculate z(f(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = 15*j - 35. Let w be 24\/63 - (-10)\/j. Which is the closest to w? (a) 0.2 (b) -2\/9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 9*m**2 - 10*m + 14. Determine y(9).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*q**2*z - 71*q**2 + 26*q*z - 2351*q - 147897*z + 6 wrt z.\nAnswer: -3*q**2 + 26*q - 147897","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 65700?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59412?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-21 - (-2 - 8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02753 - 22338.\nAnswer: -22337.97247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/6*23\/(4485\/(-26)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 234660768?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -3*b + 32. Let z = -26 + b. Put z, -5, -3 in increasing order.\nAnswer: -5, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 - 80. Find the second derivative of n*r**3 + r**3 + 7*r - 173 + 175 wrt r.\nAnswer: 186*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i + 229. What is the hundreds digit of s(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8091*x - 2172*x + 3114*x.\nAnswer: -7149*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15893021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/39*-3*39\/65?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/10*(1786\/(-38) + 3 + 34) + -44\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbeetbetbfbbely. What is prob of picking 1 t and 2 b?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 - 17. Let p = -25 + h. Solve p*z + 2 = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 + -2 + -11 + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.442 - 0.462. Let k = f - 4. Let x = -0.12 - k. What is the third smallest value in 1\/2, x, 2\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 9:24 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s + 466 = 481 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 609158 (base 11) in base 2?\nAnswer: 11101110111000100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**2*s**2*z - q**2*s*z + 3*q**2*z - 3*q**2 - 2*q*s + 549*s**3*z wrt s?\nAnswer: -4*q**2*z + 3294*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -59774 equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, v: 9}. What is prob of picking 2 o and 1 v?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-4))\/(2\/4). Let c = 3 + w. What is the remainder when (-2 + 3 + 26)*c is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6\/199 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 2*n. Let d(z) = 15*z + 16. Let s(u) = d(u) + 2*k(u). Let i be s(-3). Are i and 2\/133 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/38759?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10011012210101 + 0?\nAnswer: 10011012210101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.026? (a) 0.1 (b) -2\/15 (c) -22.9 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -4.5. Put f, 5, -0.3, 0.4 in decreasing order.\nAnswer: 5, f, 0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/7*(-10)\/((-240)\/(-84)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 16857*v + 0 - 8422*v - 8*v**2 - 8435*v + 0. Let b = 5 - 1. Let x(w) = b + 2 - 6 + 11*w. What is x(s(k))?\nAnswer: -88*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(sqrt(160)\/sqrt(5)) + (2 + sqrt(475) + -2)**2 + 1)*-6.\nAnswer: -2856 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*c - 6*c = -7200. Calculate the highest common divisor of 250 and c.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-384 + 362 + 759)*(3 - 3 + 2)*(1 - 1 - p).\nAnswer: -1474*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -x + 4*d - 8, -2*d + 4 = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 3:32 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 12*c + 529. Determine o(-79).\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c*c*c\/(c\/((c*c**(-4))\/c)*c))))**(-5\/16))**(-17) assuming c is positive.\nAnswer: c**(-85\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -6. Suppose 0*c**3 - c**z + 0 + 2 + 3*c = 0. Calculate c.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -181 or -190?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**4\/9 + 42613240*n**3\/9 - 226986027912200*n**2\/9 = 0.\nAnswer: 0, 10653310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 4:28 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -502, -93, 516, 1331, 2358?\n\"Answer: o**3 + 94*o**2 + 120*o - 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 3. Let p be q(-3). What is the second derivative of p*y**2 - 4*y - y**2 + 0*y + 6*y wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(175) + -3) + -5*sqrt(175)*2)*-3.\nAnswer: -45 + 225*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 12:20 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 1343*v**2. Let s(m) = 2*m**2 - 11532*m. Give s(w(u)).\nAnswer: 3607298*u**4 - 15487476*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -989 - -996. Solve h*o - 3*o = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -188 by -47.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2522233 - 2435?\nAnswer: 2515354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 6*q - 2. Let b be j(5). Solve -h = b*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -17*i**7\/252 - 37*i**6\/12 - 461*i**5\/40 - 989*i**4\/72 + i**3 + 15*i**2 + 3*i + 1131. Solve p(h) = 0 for h.\nAnswer: -30, -1, 6\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**4\/12 + 11*p**3\/6 + 15*p**2\/2 + p. Let f be n(-10). Suppose -4 = -6*g + 8. Solve 7*r - g*r + f = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from mmommmmmmoommmmmoo?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t + 1\/270*t**5 + 66*t**2 + 0 + 3364\/27*t**3 - 29\/27*t**4. Let v(n) = 0. Calculate n.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-14)\/49)\/((-12)\/(-9)))\/(-1).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -185, -1543, -5229, -12407, -24241, -41895, -66533, -99319?\n\"Answer: -194*s**3 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.08 (b) 0.1721 (c) 2\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**3\/5 - 2136*v**2\/5 - 359523*v\/5 + 1092042 = 0?\nAnswer: -405, -321, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2139, -2259, -2381, -2505, -2631?\n\"Answer: -z**2 - 117*z - 2021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -625*f**3 + 105*f**2 - 51*f. Let i(o) = -208*o**3 + 35*o**2 - 18*o. Let l(q) = -17*i(q) + 6*r(q). Find the third derivative of l(x) wrt x.\nAnswer: -1284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1795680 and 275040?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(66)*-2)\/(sqrt(54)\/(sqrt(36)\/sqrt(4)) + sqrt(240)\/sqrt(10)).\nAnswer: 10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -14187\/4 (c) -0.13 (d) -1.1 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*j - 644 + 2198. Calculate the least common multiple of j and 2.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wh when two letters picked without replacement from hhhwwhhhhhhhhhhhhhhh?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -5*c - 2, -2*c + 5*q = -17 + 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 23\/8 of a second?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 16414006?\nAnswer: 16414002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4 + (4 - (-15)\/(-4)). Factor 0*a + r - a**4 + 8\/3*a**3 - 4\/3*a**2.\nAnswer: -a**2*(a - 2)*(3*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3330, -6657, -9996, -13353, -16734?\n\"Answer: -j**3 - 3320*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 149534392537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*u + 35, -22 = 3*l - 2*l + 5*u. Let z(m) = l*m**3 - 4*m**3 - 5*m**2 + 3*m + 11 - 4*m. Is z(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1. Let k = 1 + 0. Let a(c) = c**2 + 2*c - 2. Let r(o) = k*a(o) + 3*f(o). Determine m, given that r(m) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 17412.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 15 - 10 - 7. Let q(a) = -a**3 + 19*a**2 - 80*a + 15. Let d be q(6). Calculate y(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/7 + 72*y**2\/7 + 393*y\/7 - 468\/7.\nAnswer: 3*(y - 1)*(y + 12)*(y + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w - 12. Let j(n) = 1. Suppose 5*t + 4*k = -45, 143 = -3*t - 22*k + 18. What is t*j(a) - x(a)?\nAnswer: -2*a + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*c**4 - 68*c**3 + 8*c**2 = 0.\nAnswer: 0, 1\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 183230 - -0.1826?\nAnswer: 183230.1826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 3*v - 9. Let g be 10*(112\/(-20) - -6). Suppose 0 = -t - 3, -5*t + 10 = q + 4*q. Sort v, g, -2, q in descending order.\nAnswer: q, g, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -27.4. Let t = -0.2 + 0.2. Let x = t + -0.1. Put a, 3\/8, x in decreasing order.\nAnswer: a, 3\/8, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/9 + 1181788*w\/3 - 3545362\/9.\nAnswer: -2*(w - 1772681)*(w - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6508604.\nAnswer: 2, 131, 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -32635*w - 424250. Give f(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*c - 5*o + 1066, 4*c - 5*o + 851 = 0. Does 21 divide c\/(-10) + 2\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -10*t**2 + 1622*t - 484. Determine b(162).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 9769520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -16967.81715 rounded to the nearest 10?\nAnswer: -16970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2.1318*5.875\nAnswer: -12.524325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 8*h**2 + 4*h + 11. Let m be o(-8). Let d = -10 - m. Calculate the remainder when 19 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 131 - 127. Suppose 5*r + 5*l - 1894 = 4976, 0 = d*r + l - 5487. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(((l**0\/l)\/l)\/l*l))\/l)**(-9\/13)*l*l**(1\/5)*l\/l**(-1\/2))\/((l**5*(l**(-2\/7)\/l)\/l)\/(l\/l**(-2\/5))**39) assuming l is positive.\nAnswer: l**(48413\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1883364.5 to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b + 82 = 2*z, -3*b + 144 = 4*z. Solve -7*o + 32 = z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + r - 9 = 0, 4*r = -4*c + 142 - 138. Calculate the greatest common factor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t = -205 + 139. Sort t, -1, -5\/2, 0 in descending order.\nAnswer: t, 0, -1, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111608981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 6:14 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 - 89. What is the common denominator of 178\/72 - a*(-2)\/(-4) and -19\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009145511 rounded to 4 dps?\nAnswer: -0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/76 and 23\/50524.\nAnswer: 959956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/(-75) - -1)\/((-63)\/30). Which is the nearest to -0.03? (a) -5 (b) -2 (c) -0.2 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 28. Let p = 103995 - 103988. Calculate the remainder when y is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -289931670 to the nearest 100000.\nAnswer: -289900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by -91870\nAnswer: 14\/45935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 1 = -5*d - 6, 0 = -d + 4*z - 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -169 - -1227411941.\nAnswer: 1227411772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - (sqrt(2299)*2 - sqrt(2299) - sqrt(2299))) + sqrt(2299) + -1)**2 + (sqrt(152)\/(sqrt(80)\/(-1*sqrt(10) - sqrt(10))))**2 + -5 + 3.\nAnswer: -44*sqrt(19) + 9271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1005 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7 and -2973599?\nAnswer: 2973592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 9443 + 26929 = 4*a, -36388 = -4*a - 4*i. Suppose a + 43221 = 44*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/2*(-55)\/20. Is 3 a factor of (-600)\/c - (-6)\/(-33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94 divided by -6.\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - -4) + (23 - 8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/58167 and -163\/853116.\nAnswer: 2559348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 147489807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1827689.07+0.1\nAnswer: 1827689.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -7*p - 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from lbbbbbblb.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -19669, 1, 3, 5\/6, -0.3 in descending order.\nAnswer: 3, 1, 5\/6, -0.3, -19669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 0.02 (b) -2\/149 (c) -4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + -2*(-2)\/(-2). Let o be -7 + ((-6)\/g - 2). Let v = -3 - o. What is the least common multiple of 10 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 297613 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 289\/6, -0.4, 4 in ascending order.\nAnswer: -0.4, 4, 289\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/21 - (-38)\/14. Suppose 4 = -2*r + t, -u*r + 1 + 0 = 2*t. What are the prime factors of 153\/6 - r\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -36, -73, -106, -123, -112?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -5*o**4\/24 - o**2. Let n(a) = -10*a. Let z(t) = 3*t. Let m(k) = -2*n(k) - 7*z(k). Calculate -f(b) + 6*m(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1477829 - 0?\nAnswer: -1477829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*g**2 - 95*g**2 - 95*g**2 + 284*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106530447?\nAnswer: 3, 997, 35617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31.7? (a) -1\/8 (b) 174 (c) 1\/3 (d) -0.1 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54637361.\nAnswer: 67, 73, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -193 + 192. Which is the closest to 1? (a) -3\/4 (b) k (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*s + 38*s - 59435 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-80))\/(6\/(-8))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -266 - -471. Let p = 1053 - n. Suppose p + 594 = 7*t. What are the prime factors of t?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxjxxzzjzxzxxjzx. Give prob of picking 2 x.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3 - 616*g**2 - g - 580?\nAnswer: -12*g - 1232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 9*v + 2. Calculate the remainder when ((1620\/(-42))\/(-6))\/((-72)\/(-840)) is divided by n(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 6*j**2 + 10*j. Let b(u) = -u**2. Give -6*b(r) - p(r).\nAnswer: r**3 - 10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/84)\/(3\/7).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175966 is divided by 4399.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21221 + -10012?\nAnswer: 11203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76*w**6 + 2*w**5 - 220*w**2 wrt w.\nAnswer: 9120*w**3 + 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 8:41 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -24 - (8 - 1) - -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -40232, 6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f - 17*f = -3*d - 24*f + 8, -3*d - 102 = 18*f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 357 = 7*i. Suppose -o - 4 = 0, 883 = 5*t + 2*o - i. Suppose -7*p + 4*p = 4*f - t, 5*f = -p + 82. List the prime factors of p.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4505983247 to the nearest integer?\nAnswer: 67127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6577 is divided by 329?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.03, -5.\nAnswer: -5, 0.03, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2)*b)\/b)**(-20))**26\/((b*b**(-2))**(-8\/5))**(-5\/12) assuming b is positive.\nAnswer: b**(3122\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (65 + -20 + -35 + -1 + -13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 21 = 5*p. Let i be 3 - (-496)\/(-28) - 6\/p. Suppose 0 = 3*o + 5*l + 32, 5*l + 1 = 11. Is o less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/24 - 11\/(-6). Suppose z*h + 3*h - 11 = s, 3*h - 17 = -2*s. What is the closest to 1 in -3\/5, -3, s?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 + -37. Calculate the remainder when p is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2323b + -1605?\nAnswer: 21836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 - 2*f**3 + 7*f**3)*(0*f + 0*f + 2*f)*(-6 + 1 + 3)*(4 - 4 + 2).\nAnswer: -32*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -24 times 3392\nAnswer: -81408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 452*g**2 - 5*g + 17. What is the hundreds digit of y(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143\/(-559)*2064\/(-336)?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 838577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7194798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 1010?\nAnswer: 9090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from zdzzzdzzzzz?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -286735400 divided by -872.\nAnswer: 328825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 - 2 - 15*j + j**2 + j**3 + 15*j as w + u*j + y*j**3 + r*j**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**2 + 120*k + 9. What is the smallest common multiple of t(24) and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 93543.63ng?\nAnswer: 0.00009354363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b17 (base 12) to base 4.\nAnswer: 1222003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**4\/19 - 120*z**3\/19 - 2436*z**2\/19 - 18952*z\/19 - 47610\/19 = 0?\nAnswer: -23, -9, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 123 - 228. Let o = -106 - i. Which is the smallest value? (a) -1.7 (b) -5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) - -1*sqrt(8))*3)\/(sqrt(4) - sqrt(48)\/sqrt(48)).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 22 - 7 = 0. Is (-467)\/b*(2 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 8*o + 3. Let w be g(6). Let q = -35 + w. Suppose -a = 5 - q. Calculate the lowest common multiple of 1 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 1 = 6. Suppose 3 = 2*c - 3. Suppose -p - c = -2*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**4 - 22*r**3 - 54*r**2 + 22*r + 56 = 0.\nAnswer: -7, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 387 and 375 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**2 + 34*k = 0.\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*c - 5*c + 14*c)*(-3 - 1 + 3).\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 19300*j + 41996821. What is y(-2176)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) -1539 (c) 2 (d) -0.05 (e) -17 (f) -3\/7 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 54 + -3?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 + 4*o + 3. Let a(b) be the second derivative of b**4\/4 + b**3\/2 + b**2 - 17*b. Let t(k) = -4*a(k) + 3*h(k). Differentiate t(m) wrt m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/39, 1.1, 4\/7, 0.3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -200*j - 4. Let w(a) = 7399*a + 147. Determine -147*b(f) - 4*w(f).\nAnswer: -196*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -28*y + 22. Let u be m(1). Which is smaller: -1\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*1\/(-1))\/(((-26164)\/496)\/(-211)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3*j - 15 = 0, 6*j = -5*h + j - 45 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -4 (b) -45\/17 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*b - 480*b = -5*s - 49, -4*s = -4*b + 36 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(7056) + sqrt(1764)*2 + sqrt(1764))\/((sqrt(847) - -6*(sqrt(847) + sqrt(847)*-1)) + sqrt(847)) + -5.\nAnswer: -5 + 3*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + 18*s + 8. Let v be k(-8). Suppose 3*g = -10 - 20. Let a = v - g. Is a != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = -130*q + 63*q + 17. Let c(t) = -4*t**2 + t + 1. Let x(b) = b**2 + b + 1. Calculate q*x(r) - c(r).\nAnswer: 2*r**2 - 3*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 + 148 - (6 - (11 + -5)) is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a**2. Let t(z) = -12*z**2. Let b be (2\/4)\/((-1)\/14). Calculate b*s(u) - 4*t(u).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1610\/(-1932)*(-3)\/5)\/((-2)\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**5 - q + q + (3*q**5 + 7 + 0 - 33)*(1 + 2 - 1).\nAnswer: 8*q**5 - 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 - -1. Suppose 64 = -10*u + 104. Let j be (5 - 8)\/((-60)\/u). Sort 2, j, h, -3\/4.\nAnswer: -3\/4, h, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/(g\/g**24))\/g*(g*g**8\/g*g)\/g)\/((g*(g*g**2\/g)\/g)\/(g\/g**27*g)) assuming g is positive.\nAnswer: g**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 + 11*p - 222. Let j(b) = 3*b**2 + 16*b - 333. Determine -7*d(x) + 5*j(x).\nAnswer: x**2 + 3*x - 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 7. Let l(n) = -n - 4. Let o = -18 - -10. Let q be l(o). What is w(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 38 = 4*l + 11, 0 = 4*c - 20. Let g be (l\/(-5))\/((-9)\/(-45)). Solve -o - z - g = 2*z, -4 = -2*o + 2*z for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v. Let a = 35 + -33. Suppose 0 = 7*n - 2*n - 30. Let k(y) = n + 4*y**a + 11 - 17. Calculate k(s(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 67435.7642 to the nearest 100.\nAnswer: 67400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2657233495166 take away -32?\nAnswer: -2657233495134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 17*j**2 - j. Let u(q) = -8*q**2 + q. Determine 3*b(l) + 5*u(l).\nAnswer: 11*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(612)*4 + (1 + sqrt(612))*-4 + (0 + sqrt(612) + sqrt(612))*1 + -5)**2.\nAnswer: -4968*sqrt(17) + 1295073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l**2*s**2 - 4*l**2*s - 2098*l + 107086*s**2 with respect to l.\nAnswer: 6*l*s**2 - 8*l*s - 2098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(121)\/(sqrt(891) + (sqrt(891)*4 - sqrt(891)) + sqrt(11)).\nAnswer: sqrt(11)\/37 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-5) + 36\/14. Let r = 3.48 - -0.82. Let b = r + -4. Put 0.5, b, f in decreasing order.\nAnswer: 0.5, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (28\/8)\/((-1)\/3). Let l be (1 + (-8)\/(-16))*-2. What is the second smallest value in 0.2, l, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 67240, 67231, 67222, 67213, 67204, 67195?\n\"Answer: -9*r + 67249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3\/4, -0.08, -1\/8 in decreasing order.\nAnswer: -0.08, -1\/8, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.11 + -0.2215. Round x to three dps.\nAnswer: -0.112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + x. Let z(c) = 2*c**2 - c. Let r = -32 - -88. Suppose -54 = -2*i - r. Calculate i*z(f) - n(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + 9)*(-6)\/(-12). Put 4, x, 0 in decreasing order.\nAnswer: 4, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51053061 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: Simplify (j**(-9)\/(j*j*(j\/(j**(4\/7)\/j))\/j))\/(j\/j**(3\/5)*j)**(24\/13) assuming j is positive.\nAnswer: j**(-6376\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -175*i**3 + 2*i**2 + 176*i**3 - 5 + 2 in the form d + n*i**2 + c*i**3 + a*i and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 u when four letters picked without replacement from uvuuvvuvvu?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -146690 or -146679?\nAnswer: -146690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3404 + 5953 + 2796 + 2536 + 2614 + 10788)*(2*k - 3*k + 0*k).\nAnswer: -21283*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 145428331263 take away 0.5?\nAnswer: 145428331262.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Add together 1.02826802 and -0.926.\nAnswer: 0.10226802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**24)**(-32)\/(k**(16\/7)*k**8\/k) assuming k is positive.\nAnswer: k**(-5665\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*3\/12*12\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7288109.\nAnswer: 7288109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/26 + (-1674)\/403. Let w be 2 - (0\/u - 10). Solve -3*q = 3 + w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5400 and 2160.\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.27 - -0.27. Let t = 185 + -184. What is the closest to -2\/5 in v, -0.085, t?\nAnswer: -0.085","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7546.719 grams in kilograms?\nAnswer: 7.546719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 468 and 1196.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + b = 7, 2 = b - 2. What is the remainder when (v\/(-6))\/((-10)\/6540) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -37, -47, -63, -85, -113, -147, -187?\n\"Answer: -3*c**2 - c - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 127661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 greater than or equal to 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1928 is divided by (-1)\/5 - (-27)\/(1080\/2408).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.3*-154.3\nAnswer: 3749.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 7*t**2 - 5*t + 2. Determine w(-7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, r: 3, m: 2, f: 2}. What is prob of sequence mfmr?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3499626166.699 - 13\nAnswer: -3499626179.699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2499787755 to the power of 1\/3, to the nearest integer?\nAnswer: 1357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.19361 - 3358.19361. Is -4 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvvo when four letters picked without replacement from baeepoevvopeeb.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**4\/7 - 314*s**3\/7 - 5394*s**2 + 5701634*s\/7 + 5949868 = 0.\nAnswer: -134, -7, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**3 + k**2 - k - 1. Let u(g) = 3*g**3 + g**2 + 3*g + 2. Let p(d) = -s(d) - u(d). What is p(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -8. Let f be (-3 + (-125)\/(-32) - z) + 0. What is the closest to -0.2 in f, -0.3, 6\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-114)\/(-24))\/19 - 30\/(-72). What is the nearest to x in 1\/10, -0.2, -3, -0.1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50626108 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*t - 2*t. Let a be t*2 - (-2 - 70). Suppose 4*l - a = -4*v - 30, 4*v - 2*l - 16 = 0. What is the remainder when v is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 4*d = 4. Suppose -2*r + 6 = 3*r - 2*t, -d*t = -4*r + 4. Factor -11\/2*f**r + 3\/2*f**3 + 6*f - 2.\nAnswer: (f - 2)*(f - 1)*(3*f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from jvvzzzvjvvzzzvzvzzv?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22955*i**5 - 10*i**3 - 73802*i**2 - 3*i?\nAnswer: -1377300*i**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 14*v. Solve -5*j + 8 - 23 = v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/21 + 1)*(-72)\/(-12)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.5, 0.4, 0, 0.2, -476 in increasing order.\nAnswer: -476, -0.5, 0, 0.1, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7203.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 256, 280, 302, 322, 340?\n\"Answer: -k**2 + 27*k + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.2, 4\/249 in ascending order.\nAnswer: 4\/249, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0\/c*c)**(-5\/6))**42 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-36) - (-3 + 581\/3). Let u = c - -193. Factor 4\/3*v - 1\/3*v**u - 4\/3.\nAnswer: -(v - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 694800 = 41*x. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 3, -1, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from mmmmmmddm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226544 to the power of 1\/2, to the nearest integer?\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2 - 2*p - 6. Let i be u(4). Let h be 10\/(-35) + i\/(-14). Let g(l) = -l + 7. Give g(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9039 and 270756.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*(sqrt(224) + 3*2*sqrt(224) - sqrt(224)))\/(3*-1*sqrt(648)) + -2.\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 10*j + 7. Let g(r) = 5*r + 3. Let f be ((-2)\/3)\/((-4)\/(-24)). Calculate f*z(s) + 9*g(s).\nAnswer: 5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 51*g + 19. List the prime factors of d(26).\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 57*j - 56*j. What is the greatest common divisor of j and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*t = 14003, -13227 - 801 = -i - t. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*x**3\/5 - 189534057*x**2\/5 + 25271207*x - 21059339\/5.\nAnswer: (x - 21059339)*(3*x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 1899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -2*y**5\/55 + y**4\/22 + 10*y**3\/33 + 3*y**2\/11 - 82. Factor b(g).\nAnswer: -2*g*(g - 3)*(g + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18255 by 5338.\nAnswer: -18255\/5338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - t + n + 13 = 0, 4*t + 4*n + 4 = 0. Let m(j) = j**3 + 8*j**2 + 2*j - 1. List the prime factors of m(t).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*g + 128 + 937 = 9*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 6. Let u = -12 - m. Find the second derivative of -i**3 + u*i - 4*i - 3*i wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -29. Let q be 2\/12*-3*-36. Let m = q - l. What is the remainder when 16 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 949, 5, 1, -3, 0 in decreasing order.\nAnswer: 949, 5, 2, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/13)\/((-1265)\/(-115115)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p + 2. Suppose -2*d - 2*w - 2 = -0*d, -2 = 3*d + 4*w. What is q(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -7, 3, 0, 767 in ascending order.\nAnswer: -7, 0, 3, 10, 767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 3*g - 20. Let s be l(0). Sort s, -2, -1, 2 in ascending order.\nAnswer: s, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -73 + 17*f + f**2 + 216 - 64 - 60. Let x be n(-16). Let q = -0.4 + 0.3. What is the closest to q in x, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1910, 2729, 4228, 6413, 9290, 12865, 17144?\n\"Answer: h**3 + 334*h**2 - 190*h + 1765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 14*o = -9*c - 80, -4 = -c + 3*o for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 137 and 11.\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f - 343. Let d be z(17). What is the third smallest value in 5, -1, -0.5, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.121 (b) 7\/192 (c) 51 (d) 0.4 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5 + (-40)\/(6400\/(-336))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -61*f - 112. What is a(-3)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -105*u + 127*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z**3 - z**2 - 10*z + 5. Let a(h) = 2*h**3 + 5*h - 3. Let k(x) = -9*a(x) - 4*s(x). Let l be k(4). Let q = -77 - l. Solve q = -u - 2*u + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0.2. Let h = 88.7 + -7.7. Let g = 77 - h. Which is the nearest to -1? (a) d (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 15\/2092?\nAnswer: 15\/2092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 95, 128, 143, 134, 95, 20, -97?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -1\/2*w**3 - w + 15*w**2 + 29. Differentiate a(t) wrt t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**5\/2 + 175*c**4 - 2749*c**3\/2 + 2226*c**2 - 1026*c = 0 for c.\nAnswer: 0, 1, 6, 342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 201.3681 kilometers in micrometers?\nAnswer: 201368100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3814*h + 5*h**3 + 3814*h.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(2) + (sqrt(8) + sqrt(16)\/sqrt(2) - sqrt(2)) + sqrt(2) + sqrt(2)) + (6*(sqrt(6)\/sqrt(3)*1 + sqrt(2)))**2.\nAnswer: sqrt(2)\/6 + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 - -54. Suppose -2*z + 93 = x. Suppose 0 = -48*g + z*g + 85. Round g to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -216 - -215.5. Put n, 3, -2\/3, -5 in increasing order.\nAnswer: -5, -2\/3, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjj. What is prob of sequence jj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19804, -16910, -14010, -11104, -8192, -5274, -2350?\n\"Answer: 3*h**2 + 2885*h - 22692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41070 is divided by 71.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + w - 1. Let p(z) = -8*z**2 - 7*z + 5. Let g be (-2)\/(-3) + (-9)\/((-162)\/(-120)). Calculate g*v(f) - p(f).\nAnswer: 2*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3049222948 to the power of 1\/2, to the nearest integer?\nAnswer: 55220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11401, 30069, 48737, 67405, 86073?\n\"Answer: 18668*j - 7267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3781285*f**5 + 2877566*f**2 wrt f.\nAnswer: 226877100*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 354\/(-12)*(-3)\/((-3)\/(-14)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -40 - (1584 + -1585).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 20*f + 50 = 0. Let g be (-22078)\/(-20) - f\/50. Let h = g - 585. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 434.1887 weeks?\nAnswer: 262597325760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 12 + 21 = 0. Calculate the remainder when ((-1112)\/(-64))\/((-1)\/(-8)) + -9 is divided by r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + u - 3*k + 32, -4*k + 105 = -5*u. Let f = 49 + u. Let h(y) = 32*y - f*y - 11*y**2. Let a(r) = 4*r**2. Calculate h(a(m)).\nAnswer: -176*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ravvrrvaaavrrv. What is prob of picking 1 r and 2 v?\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*s + 346 = 0, 5*s - 3 = 8*s. Let f = 498 - j. List the prime factors of f.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 221 and 51.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((-13)\/546*7). Let k(n) = -12*n**3 - 5*n**2 + 5*n - 5. Let f(q) = -30*q**3 - 12*q**2 + 12*q - 12. Give w*k(l) + 5*f(l).\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2634 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2958.1446 months to centuries.\nAnswer: 2.4651205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4\/11 - 208*g**3\/11 - 4748*g**2\/11 + 3120*g - 4950 = 0. Calculate g.\nAnswer: -55, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 63 = 1019. Let z(f) = 239 - u - 2*f. Let x(w) = 5*w**2. Calculate x(z(k)).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*w*w**1*w)))\/w)**(-26)\/(w\/(w*w**(-3\/5))*(w\/(w\/((w*w**1*w)\/w)))\/w)*w**(-3\/4)*w**4*(w\/(w\/w**(-2)))\/(w**(3\/8)*w) assuming w is positive.\nAnswer: w**(-3189\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckkkcck. Give prob of sequence kkkc.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000041025649 rounded to 7 decimal places?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-444)\/111*2\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 822043 and 5267?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6158 - -12.6778. Let v = n - 12. Let w = 1.198 + v. Round w to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139, -180, -221, -262, -303?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 781 = 35*j - 819*j + o, 0*j + 10 - 27 = 5*j + 4*o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 431994*z - 863950*z + 431955*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 83837009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-52)*-2*13\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(1*-2) - (-4 + 3). Suppose i = -3*x - 51 - 33. What is the units digit of (-66)\/(-3)*(4 - x\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15453 and 24431193.\nAnswer: 24431193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2 = -6. Suppose -b*c + 154 = 3*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 293 = 4*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -122.8 - -127. Which is bigger: x or -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16337a (base 14) to base 6.\nAnswer: 24354212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 381 - 26*p**2 + 0*p**3 - 51*p - 377. Let x be c(-24). Let o = 63 - 44. Calculate the highest common factor of x and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 31*h**2 + 11*h - 116. What is the remainder when b(-32) is divided by 112?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652*o + 653*o - 1304*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3245239656?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/146*(49445\/(-870))\/(-341).\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -28545384 (base 9) to base 13\nAnswer: -2c124bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + -10 + 14)*2\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36)\/45 + (12\/(-10))\/(-3). Which is the closest to -1? (a) 1\/4 (b) 6 (c) -0.1 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 10, k: 2}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 7:17 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2\/125 of a millimeter?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102444241 - -2?\nAnswer: 102444243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6*x + 1070 = 5*f, 5 = -5*x. Let y = -84 + f. What is the remainder when y is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxi when three letters picked without replacement from iiiiiiiiiixixixi?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*l**3 + 38036446*l + 2*l**2 - 4 - 38036446*l to the form d*l + i + j*l**3 + p*l**2 and give j.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p**3 + 32007*p**2 - 305481*p - 480612 = 0. What is p?\nAnswer: -11\/8, 11, 1324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/2)*q*q*q**20 assuming q is positive.\nAnswer: q**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18969 is divided by 6322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 5 = -5*i. Sort i, -5, 5 in decreasing order.\nAnswer: 5, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-10)*(-50)\/(-4). Let x(w) = 1. Let p(k) = -k - 2. Let s(t) = p(t) + 5*x(t). Determine s(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 10*g + 686 = 0. Suppose o - 21 = 4*o. List the prime factors of o\/g - (-278)\/14.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 15976 + 83499 + 49173. List the prime factors of u.\nAnswer: 17, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 496167477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 7*m - 3. Let a be x(6). What are the prime factors of 40\/a - (-4)\/6?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j*u**4 + 2*j*u**3 + 1270*j*u - 1741*u**4 - u**3 + 37*u**2 wrt u.\nAnswer: 24*j*u + 12*j - 41784*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (506\/(-968))\/(1932\/(-504))*(0 + (-40)\/(-6))?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 - -18. Let h be s\/(-4) + (-3)\/6. Suppose -h = -4*o + 1. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddmzmddmmdmmmzmmd. Give prob of picking 1 d and 1 m.\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - n + 2. Let t be l(0). What is the second biggest value in 3, 0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*k**5 - 57*k**2 - 74*k + 2 wrt k?\nAnswer: -140*k**3 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*w + 4, 2*o + 6 = w - o. Let b be (-3)\/((-29)\/(-5) + -2). Which is bigger: w or b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2371 + -40322\/17. Is t smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/7)\/q*q*(q**1*q)\/q*q*q assuming q is positive.\nAnswer: q**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -60851, -60847, -60843?\n\"Answer: 4*v - 60855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21.7 + 15.3. Let r = l + -36.9. Let j(t) = t - 2. Let z be j(9). What is the nearest to r in z, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -362 - -262 - (-10 + -5)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -21768370300759?\nAnswer: 21768370300754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-18 - -11) - -23?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14062763\/46 + -305762. Let s = -98\/23 - p. What is the common denominator of 1 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 923.2918l?\nAnswer: 923291.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101497 and 12001.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 293 - 299. Let w(r) = 7*r**3 + 3*r**2 + 3*r + 1. Let k(a) = 27*a**3 + 11*a**2 + 11*a + 4. Calculate u*k(b) + 22*w(b).\nAnswer: -8*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5088134?\nAnswer: 2, 17, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d - 9. Suppose -17 = 2*h + 5. Suppose -2*m = p + 17, -m + 4*p = 10 - 24. Let r(o) = 7*o + 17. Give h*f(q) + m*r(q).\nAnswer: 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 3*a - 2. Suppose -x - 12 = 5*j, 0*x - 4*j - 10 = x. Calculate the lowest common multiple of x + (4 - (4 + -4)) and b(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 981 divided by 7.\nAnswer: 981\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 306 = r, -34*g + 31*g - 18 = 0. Calculate the highest common divisor of r and 4100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 156670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 - 10*t**2 - 8. Let k be u(7). Suppose 5*y - 1335 = -x, 804 + 248 = 4*y + 4*x. Let z = y - k. What is z rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 3:52 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457937 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -b + 33 + 19, -5*b = -4*n - 180. Solve 2 = -b*p + 30*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2294, -3, 9?\nAnswer: -2294","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 134, 1733, 6040, 14399, 28154, 48649, 77228?\n\"Answer: 224*k**3 + 10*k**2 + k - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/10)\/(-4)*15. Let f(x) = x**3 + x + 1. Let j(n) = -2*n**3 + 6*n**2 - 5*n - 5. Let c(t) = f(t) + j(t). What are the prime factors of c(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 3, z: 11}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1118*d**5 + 279*d**4 + 21*d**3 + 35982511*d**2 wrt d.\nAnswer: 67080*d**2 + 6696*d + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 84*t + 3\/2*t**2 - 174.\nAnswer: 3*(t - 2)*(t + 58)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*q - 2283, -5*v + 2*q + 3765 = -3*q. Let s = -457 + v. 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: Subtract 843827 from 1683.8.\nAnswer: -842143.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -2*h**3\/3 + h**2\/2 + 1304*h - 1. Let o(w) = -w**2 - 1. Calculate j(z) + 2*o(z).\nAnswer: -2*z**2 - 4*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**7\/70 - 3*k**5\/20 + k**4\/4 + 9*k**2. Solve y(t) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 52\/5 of a millimeter?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 1)\/(154\/33).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = i + 5*f, -i - 18 = -3*i + 2*f. Suppose -u = 2*u - i. Find the third derivative of -3*o**5 + 0*o**5 - u*o**5 + 0*o**5 + 4*o**2 wrt o.\nAnswer: -360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 9*m**2\/2 - 18*m + 24. Let i(y) = -y + 3. Let t(h) = -6*i(h) - k(h). Let q(l) = 65*l. Calculate q(t(n)).\nAnswer: -195*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, e: 5, b: 1, k: 1, n: 1}. Give prob of picking 1 u, 1 e, 1 b, and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -3*d. Suppose 8 = d*b + 2*b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 637*c**3 + 2*c**2 + 9*c - 11. What is y(1)?\nAnswer: 637","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 10*x**2 + 9*x + 53. Let y be i(-7). Let z = -477 + y. Let a(g) = g - 11. Give a(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43 less than -0.05661?\nAnswer: -0.48661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x. Let n(o) = o**3 - 7*o**2 + 7*o - 6. Let y be n(6). Let t(q) = -q - q + y + 1 + q - 3*q. Determine i(t(r)).\nAnswer: 16*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, w: 7}. What is prob of picking 1 d and 2 w?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*x + 11413 + 33*x - 179*x**3 - 11413.\nAnswer: -179*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -11 + (4 - (3 + -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22490573 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/25706807 - -183572307367\/36503665940. Let t = 105\/71 - m. Find the common denominator of t and -35\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**2 + 4*k**2 - 4*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 7, 1 in ascending order.\nAnswer: -3, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11011 - 44669\/4. Let s be -152*(0 + 1)\/1. Let a = s - w. Calculate the common denominator of a and -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(108\/12))\/(2\/(-5)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/6421?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.04 - -0.04. Let m = -0.37 + 0.17. Let g = 161\/20 - 33\/4. What is the nearest to g in c, m, -1\/10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 160*s - 316*s + 155*s)*(8 - 3 + 0)*(0 - s**2 + 5 - 2).\nAnswer: 5*s**3 - 145*s**2 - 15*s + 435","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 0*c**2 + 1\/15*c**6 + 0*c**5 + 0*c**3 + 0 + 0*c**4 - 3*c + 1\/21*c**7. Factor f(s).\nAnswer: 2*s**4*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 2, 2\/11, 1784 in ascending order.\nAnswer: -36, 2\/11, 2, 1784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 15. Let g be (0 - x) + -3 + 2. Let y(v) = -v**2 - 14*v + 23*v - g*v. What is y(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*2 - 2*-4. Suppose f + f + i = 0. Let b = -9\/4 + 55\/28. Put f, -0.3, b in decreasing order.\nAnswer: b, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62995 is divided by 250?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 132, 202?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 46*c**2 - 82*c + 82. List the prime factors of y(-48).\nAnswer: 2, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**3 + 22*v**2 + 3*v - 19. Let p be g(-7). Solve 9 = 5*x - 3*k, 3*x = -k - 2*k - p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 1. Let x(u) = -3*u**2 - u - 6. Let r(n) = n**3 + 14*n**2 - 33*n - 21. Let q be r(-16). Calculate q*h(k) + x(k).\nAnswer: 2*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 290.2*4.3118\nAnswer: 1251.28436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6706.815mg?\nAnswer: 0.006706815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i - 5. Let t(w) = 0*w - w - 2*w + 2*w. Let c(s) = 2*s - 2. Let a(h) = -2*c(h) - 6*t(h). What is -5*a(b) - 4*x(b)?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 12:26 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-12)\/g**(-20) assuming g is positive.\nAnswer: g**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and 1375.\nAnswer: 4125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/25452 and -97\/553152?\nAnswer: 1173235392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-68)\/5 - (-18)\/(-45). Let z = -34 - -9. Let d = f - z. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5290155 - 15332255. Round d to the nearest one hundred thousand.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v - 45*v + 71 - 6*v + 41*v to the form o*v + c and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 9:54 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.24 or -323?\nAnswer: -2.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 10:54 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 143269239 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5*t + 36. Let c be 9*(3 - (-24)\/t). Suppose 3 = c*f - 6. Solve f*n = -3*b - 9, 3*n - 7 = 3*b + 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -249 - -214. Suppose 6*s - 243 = 3*s. Let a = s + t. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/495 and -121\/450.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 851147 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/2, 2\/7, 1268 in decreasing order.\nAnswer: 1268, 0.5, 2\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(6 + -3) - -1. What is the second smallest value in w, 0.2, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10081 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818592 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3813744 by 6.\nAnswer: 635624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 224, 210, 198, 188, 180, 174?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i + 26 = 46 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 6*a**3 + 51*a**2. Let d = -90 - -82. Let j(u) = 9*u**3 + 77*u**2. Let c(b) = d*o(b) + 5*j(b). What is the third derivative of c(y) wrt y?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -0.1 (c) 36\/7 (d) -254.8 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 11*w**2 - 26*w - 19. What is t(-13)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 14. Solve 2*j - j = z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + sqrt(171) + sqrt(171) + sqrt(171)).\nAnswer: -36*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9, -12, -5, 18, 63, 136, 243?\n\"Answer: k**3 - k**2 - 7*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by (1\/9 + (-80)\/18)*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (18 - 20 - (0 + -11 + 2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3641 - 2401. Calculate the greatest common divisor of v and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/3*11*(-8)\/(-704)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2.3 (b) -11 (c) 2\/19 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3331679 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 696\/32483?\nAnswer: 696\/32483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -0.0427.\nAnswer: -0.3416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 214110*m + 1070591. Give l(-5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h - 8, -h = 4*q - 2192. List the prime factors of q.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**2 - 6*b - 4. Let o(j) = -7*j**2 + 14*j + 9. Let r(v) = 5*d(v) + 2*o(v). What is r(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edg. What is prob of picking 1 d and 1 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 m, and 1 u when four letters picked without replacement from tstutmmttmsmmsmtuct.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 126 in decreasing order.\nAnswer: 126, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -43. Let v = t + 25. What is the third biggest value in -0.4, v, -1\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -531 - -527.79. Let i = 0.001 + -0.211. Let y = p - i. What is the second biggest value in y, 0.1, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 13*f + 4. Let t(a) = -48*a - 15. Let j(q) = 15*g(q) + 4*t(q). Let c(l) = -3*l - 1. Determine c(j(m)).\nAnswer: -9*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/22995 and 83\/5919570.\nAnswer: 41436990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1698000 rounded to the nearest 10000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 14) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccg when three letters picked without replacement from ddcgcqdcgggcidd?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98 - 94. Solve 0 = -2*u + 4 + 2, 6 = -v*t + 2*u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 218*x**2 + 148*x**2 - 135*x**2 + x**2 + x**2 - 3*x**2 + x**2 - 2 + 2 + (-4*x + 2*x + 3*x)*(3 - 2*x - 3) to the form a + n*x**2 + u*x and give n.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(1\/3))**23 assuming z is positive.\nAnswer: z**(115\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 481626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from wwhwwrlrwwlwwwhwhhwh?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*t + 10 = 0, -c + 9 = t + 4. Let k be (-6 - -6)*(-3)\/c. Solve -3*z + 2*v - 8 = k, 2*z - 2*v + 2 = -2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939356229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*f - 15 = -3*f, y + 2*f - 6 = 0. Let l = -8 + 10. Sort y, l, 32 in increasing order.\nAnswer: y, l, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 12:06 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000 + -11011?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 2. Let m(b) = -1186*b**2 - 4151*b + 8302. Determine -m(u) + 4151*y(u).\nAnswer: 1186*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v**2 + 4*v - 4. Let r(g) = 16*g**2 - 7*g - 2*g**2 - 3*g**2 + 7. Suppose 7 - 28 = 3*t. What is t*o(p) - 4*r(p)?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 343, 616?\nAnswer: 889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -24*p + 20*p - 76997, 6*p = 5*v - 128325. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 36, 0, 5, -16 in ascending order.\nAnswer: -16, 0, 5, 36, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*y + 22, -5*y + 7*y = n. Solve -n = o + 3*m, 5*o - 3*m = -12 - 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 10*a**2 - 14*a - 2. Calculate the remainder when m(-9) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2311 = 5*o, 5*r + 47*o - 49*o = 3893. Is 21 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 1:57 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*n + 85*n - 49*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 305 + 125?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 6*o + 5. Solve 2*v - o = 3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 479435 and 480027 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1499 is divided by 92?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -52 from -7672741560.\nAnswer: -7672741508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7024200 by -117070.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2 - 3*o + 4*o**2 - 5*o + 2*o + o. Is v(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 29*d + 38. Calculate g(-30).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 771896?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56180.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 146906 divided by -1328\nAnswer: -73453\/664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, n: 3, z: 1, s: 3, v: 3, c: 2}. Give prob of sequence cc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 700676 or 700673?\nAnswer: 700673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1443140 or -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1525 is divided by 1482?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 4*n = 0, -4*u + 2 + 4 = 5*n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/4 - 7693*t**2\/4 + 7696*t - 7697.\nAnswer: -(t - 2)**2*(t + 7697)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -2*v - 21. Let r be (v\/(-8))\/(39\/(-104)). What is the units digit of (-12)\/(-8)*r - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/4 (b) -1\/5 (c) -2\/11 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -2. Let p = -4\/13 + 2\/91. Let z = -52.7 + 53. Which is the third biggest value? (a) p (b) t (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (5*sqrt(75) - sqrt(3)) - sqrt(48)\/sqrt(4).\nAnswer: 23*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 42 * -167\nAnswer: -7014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -6*g**3 - 8*g**2 - 6*g. Let h be b(-1). Sort 5, -6, 1, -4, h in ascending order.\nAnswer: -6, -4, 1, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*113786.\nAnswer: 45514.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105350 by 301.\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 24818319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4a144 (base 14) to base 2\nAnswer: -101100010001110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -345398888, -690797776, -1036196664, -1381595552, -1726994440?\n\"Answer: -345398888*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c94 - -190?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/((-1000)\/912)*(-410)\/164.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -31\/6, 0.4, 3 in descending order.\nAnswer: 3, 0.4, -1\/6, -31\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8908)\/131)\/34)\/((-4)\/10*(-10)\/82)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6*(-39)\/(-20) - -7*(-112)\/196.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 10. Let k(c) = c**3 - c**2 + 44. Let d be k(0). Find the third derivative of -6*n**2 + 44 - 8*n**u - d wrt n.\nAnswer: -192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -8. Let d(c) = 134*c + 10046. Let o be d(-75). Is o smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = m + 4*m - 3, -3*m + 3*l = -3. Suppose -121 = -m*k - k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 6) to base 13\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*k + 4 - 4)*(5*k - k - 2*k).\nAnswer: 128*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 7. Let x(l) = -l + 6. Let n(d) = 5*j(d) - 4*x(d). Let g be (-122)\/(-6)*(-1 - 2). Let f = g - -61. Give n(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 360\/44 + (-4)\/22. Let u(x) = 5*x. Let h(l) = -4*l + 2. Let g(n) = 4*h(n) + 3*u(n). What is g(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s. Let i(v) = -5*v**2 + 6*v**2 + 3*v**2. Calculate i(n(p)).\nAnswer: 100*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40200568.\nAnswer: 2, 5025071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*t - 335 = -14*t. Let q(r) be the first derivative of -4 + 2\/3*r**6 + 8\/3*r**3 - 8\/5*r**t + 0*r + 0*r**4 - 2*r**2. Find p such that q(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 522.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1 - (3 + (-13 - -4) + 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -q - 3*v, 22 = 4*q - 0*q + 2*v. Find the second derivative of 36*u - 10*u**q + 20*u**4 + 19*u**4 wrt u.\nAnswer: 348*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34 and 18\/169?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 83*m**7\/3 + m**4\/6 - 35*m**3\/6 - 23*m**2\/2 + 5911*m. What is the third derivative of d(v) wrt v?\nAnswer: 69720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/8 + 785*f**2\/8 + 10659*f\/2.\nAnswer: -f*(f - 836)*(f + 51)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5611175 at least as big as 5611174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 5 (c) -4 (d) 2\/19 (e) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -10*p**2 - 2*p. Let c(w) = -9*w**2 - w. Let j(n) = -5*c(n) + 4*l(n). Let f(h) = h**2 - h. Suppose -27*r = -24*r + 3. What is r*j(t) + 3*f(t)?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116 - 69. What is the remainder when l is divided by 3\/(-5) - (-5)\/((-50)\/(-106))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -86*v. Let g(x) = 1188*x. Give g(u(z)).\nAnswer: -102168*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -441 - -441.00158. What is r rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65208299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2, -48, -96, -136, -162, -168?\n\"Answer: v**3 - 5*v**2 - 42*v + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3044347257 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-29)\/(-32) + (-52)\/104 and ((-212)\/(-30))\/((-20)\/(-15)).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8983 is divided by 240?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -4, 356, -0.7 in increasing order.\nAnswer: -4, -0.7, -0.1, 356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c + 7*c - 8*c - c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 180\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 8:16 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcxzacxccxxcxzc. What is prob of sequence ax?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -5. Suppose 2*m + 3*m = 20. Let y = 1 - 0. What is the third smallest value in y, r, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18606 and 186060.\nAnswer: 186060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 3 = m, 15 = -204*m + 209*m for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -40 + 176*a**2 + 189*a - 6*a - 7 - 172*a**2. Calculate y(-46).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 241473100 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/156 and -179\/780.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39374 - -78841. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.95 + 0.05. Let p = c - 6.3. Let r = 0 + -1. What is the second smallest value in r, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, 1\/5, -3, 3871, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125060\/4732*35\/25.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1330, 2656, 3982, 5308, 6634, 7960?\n\"Answer: 1326*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -92066 divided by 26?\nAnswer: -3541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-10 + -3 + 5)) + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -5*v**2 - 173820*v - 1510669620 = 0.\nAnswer: -17382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -1. Differentiate 2 - 1 - 7*z**2 + z**f with respect to z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhfkhhhnhfhhfphpfhp. What is prob of sequence ph?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384203?\nAnswer: 384203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -681 or -3?\nAnswer: -681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-10)\/(-14) + 40\/(-140). Let z be (23 + -24)*(b - -8 - 1). Let v be ((-8)\/72*z)\/(4\/30). Solve 3*p - 7 = -4*c + v, 0 = 3*p - 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 34. Let k be w(-38). Let r be (3\/9)\/(5\/30). Let t(y) = 38*y**2 - 42*y**r + k*y - 3*y. Calculate t(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-2\/7)*m*m*m*m))\/(m\/m**(3\/7)) assuming m is positive.\nAnswer: m**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/130 and -29\/138558.\nAnswer: 9006270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 12 - 2*h**3 + 2*h + 0*h to the form a*h + t + s*h**2 + w*h**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g - 7. Let s be x(-9). Suppose -2*v - 3*i = 14, v = 4*v + 2*i + s. Is v less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 + 70. Let y be d - (-1 + (-3)\/(-3)). Let k(x) = x**3 + 2*x**2 + 12*x + 86. Let r be k(-4). Calculate the highest common divisor of y and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/5 (b) -5.52453 (c) -3 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**2 + 15*j + 7. Let i be g(-6). Let u = 418 + i. Let d = u + -140. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*q - 16 = 0, -4*q + 5 - 31 = -3*o. Solve 0 = -x + 5*t - o, 5*x + 4*t - 4 = 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -836, -921, -1006, -1091, -1176?\nAnswer: -1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 - 2. Let h be j(1). Let k(b) be the first derivative of 0*b - 1\/4*b**4 + h + 1\/2*b**2 + 0*b**3. Factor k(q).\nAnswer: -q*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 450.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003398589116 to 6 decimal places.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 38741350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5101 + -188735\/37. Which is the third biggest value? (a) h (b) -0.2 (c) -4 (d) 3\/7 (e) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (45\/(-20))\/(3\/(-472)). Let c = n - 1425\/4. Calculate the common denominator of -7\/20 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/170 (b) 4 (c) -2 (d) 3 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148756153 to the nearest integer?\nAnswer: 12197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/9)*u**(2\/7)*u)\/(u**(-1\/2))**(-33\/5))\/((u\/u**(-1\/2))**(-34))**(1\/87) assuming u is positive.\nAnswer: u**(-24061\/18270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -49277 divided by 11\nAnswer: -49277\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50195631 is divided by 440.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -188\/5 - -37. Put -0.2, i, -1 in decreasing order.\nAnswer: -0.2, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from gppoooppopgpo.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1692 - 1630 = -215*q + 978 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19439726?\nAnswer: 2, 37, 443, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5758 + 322*r - 5758 + 2*r**3 + r**2 to x*r**2 + l + b*r**3 + k*r and give k.\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6473 + 5?\nAnswer: 6478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3218069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 11*s**3 - 5*s**2 + 7*s - 9. Let r(h) = -6*h**3 + 4*h**2 - 4*h + 5. What is 3*o(m) + 5*r(m)?\nAnswer: 3*m**3 + 5*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3\/164, -4, 0.429 in decreasing order.\nAnswer: 0.429, 0.1, -3\/164, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3343*g**2*q**2 + 68*g**2*q + 11*g**2 - 19*g*q**2 + q**2 - 6*q wrt q?\nAnswer: 6686*g**2 - 38*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1216))*-1 - (sqrt(76)\/sqrt(4) + -5 + sqrt(19) + sqrt(57)\/sqrt(3) + -1).\nAnswer: -11*sqrt(19) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -88, 1 in decreasing order.\nAnswer: 4, 2, 1, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*h**3*j - 2*h**3 - 242*h**2*j + h**2 - h*j - 44179*h - j wrt j.\nAnswer: -4*h**3 - 242*h**2 - h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22379?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389 = 127*f + 41 - 541 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 11*m**2 + 254*m - 49. Is b(-46) a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*z - 37*z + 3*x = -2*x + 9, 5*z + 0*z + 15 = -x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11494 is divided by 1088?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 76 - 136. Let s be 1 - -1*(-2 - o). Suppose -2*p = -6*p + s. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o + 3. Suppose 4*l - 8 = -12. Let t(c) be the third derivative of c**3\/6 + 4*c**2. Calculate l*d(h) + 5*t(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**4 - 4 - 42*b - 2*b**2 + 39*b + 3*b**4 in the form o + w*b**2 + n*b + j*b**4 + u*b**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 131637977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 divided by 142?\nAnswer: 67\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/6 + (-1)\/3. Suppose 0*x = 5*g - n*x - 4423, 4419 = 5*g - 4*x. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102133230 - 22?\nAnswer: -102133312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -13.3. Suppose 165 = -3*w - 3*x, -4*x = -w - 2*w - 151. Let b = w + 317\/6. What is the second biggest value in u, b, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 3\/(-2))\/(1836520\/(-14992)).\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3800 and 150?\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*j + 30 = 0, 2*t - 4*j - 9 = 9. Let a = 0 - -2. Let q be 36\/(-8) - a\/4. Sort t, 5, q in decreasing order.\nAnswer: 5, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60391 = -31*d + 3934. List the prime factors of d.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-nine fifths of a century?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3725 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**8\/7 + i**4\/4 + 3*i. What is the third derivative of x(p) wrt p?\nAnswer: 960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**6\/30 - 151*v**4\/12 - 64*v**3\/3 + 72*v + 3. Find the second derivative of o(i) wrt i.\nAnswer: -12*i**2 - 302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**3\/6 + b. Let r(w) be the first derivative of -7*w**2\/2 - w + 19. Calculate -3*d(i) - r(i).\nAnswer: 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29058*i + 28997*i + 549 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -96249652, -192499293, -288748946, -384998617, -481248312, -577498037?\n\"Answer: -t**3 - 96249634*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 7:34 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 - 110 + 136*q + 81)*(q**3 + q**3 + 0*q**3) as z*q**2 + w*q**3 + u*q + k*q**4 + g and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 1. Let g(d) = -5*d**3 + 6*d + 8. Calculate g(w) + 6*r(w).\nAnswer: w**3 + 6*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20990244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -2*y**3\/3 + 661*y. Let s(o) = 3*o. Calculate 6*l(m) + 7*s(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3a7 - 3?\nAnswer: -3aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 6:40 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-17)\/(-34))\/((-6)\/(-4))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + w - 13, -7*w = -3*g - 8*w + 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-22) + (-29335293)\/(-1287) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11370 is divided by 760.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -302 - -299. Let n = 16 - 21. What is the fourth smallest value in g, -6\/11, n, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/2487 and 16\/135.\nAnswer: 111915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2*(-33)\/(-8))\/(21\/(-252)). Calculate the highest common divisor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((9 + -9)\/9)\/(3*1). Suppose 2*j - 2*q - 294 = d, -j = 3*q - 53 - 74. Calculate the remainder when j is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*t + 3*t. Find b such that -21*b**t + 2*b**4 + 4*b**4 - 13*b + 3 - 2*b + 27*b**2 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/1993759 or -1?\nAnswer: -9\/1993759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-1 + 2 + 1)*(8 - 8 + q) - 2*q - 3*q + 0*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 4*g**2 - 2*g - 2. Let d be s(2). Suppose d = 3*m - 4. Find the third derivative of -w**3 + w**3 + m*w**6 - 2*w**2 wrt w.\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*b, -u - 2*b + 6*b = -14. Suppose 0*n = n - 3*z - 68, 3*n + u*z = 171. What is the remainder when 117 is divided by n?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*l + r, 115*r - 8 = 3*l + 119*r. Let n be (30\/84)\/((-1)\/2). Which is smaller: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195541*x + 390977*x - 195437*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -26 + 12*o**2 + 7*o - o**2 - 9 + 33. What are the prime factors of x(5)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -6 (b) 0.5 (c) 17\/2 (d) -2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 3*r - 10. Let j be d(4). Let a = 16 + j. Determine b so that -8 - 2 + 12*b + a - 4*b**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j**2 + j + 6 - 2*j**2 - 7*j. Let k(w) = -5*w**2 + 5*w - 5. Let i(g) = 4*g**2 - 4*g + 4. Let f(y) = -4*i(y) - 3*k(y). What is -4*b(z) - 22*f(z)?\nAnswer: 2*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 2785152448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)\/(sqrt(80)\/sqrt(10)*-1) + 5)**2.\nAnswer: -40*sqrt(3) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*f**3 + 7*f**3 - f + 188 + 168.\nAnswer: -44*f**3 - f + 356","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 57 = -11*c. Let w = 0 + -1. Let u(x) = -6*x**2 - 8*x - 7. Let n(s) = s**2 + s + 1. Let r(i) = w*u(i) - 4*n(i). Determine r(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 2*b + x - 4, -3*x + 6 = 0. Let o(c) = 3*c**2. Let s be o(b). What is v in -s*v**2 - 17*v**2 + 8*v**3 - 4*v**2 - v**4 - 16 + 32*v = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*l**2 - 14 - 95 + 9 - l + 44*l**2 - 28 wrt l?\nAnswer: 84*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + (-199)\/20 + 4 + 2. Let m(v) be the second derivative of 0*v**2 - z*v**5 - 2\/3*v**3 + 0 + 4*v + 0*v**4. Find the second derivative of m(o) wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1459*n**2 - 491 + 491.\nAnswer: -1459*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 8900000 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*i - c, -c = 4*i - 3*c + 12. Let n(q) be the first derivative of q**4\/4 - q**3\/3 + q + 1. Calculate n(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257.337 nanometers in meters?\nAnswer: 0.000000257337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 11:59 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**3 - 8*k**5 + 3*k**5 + 19*k**5 + (-k**3 + 3*k**3 + 0*k**3)*(2*k**2 - 3*k**2 + 2*k**2).\nAnswer: 16*k**5 + 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*w - 11*w + 39*w + 2*w to v + o*w and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 10:51 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -472 + 476. Solve 3*w = 3*l + 3, -3 = o*l - l for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 12. Let l(w) = -4*w**3 - 67*w + 64*w + 6*w**a - 4*w**2 + 2. Calculate the remainder when l(-3) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3965 - 86\nAnswer: -4051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxzsmpxhzssppxxxxzh. What is prob of sequence zxxz?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 8*j - 3*j. Let d = -20 + 25. Calculate the common denominator of (-100)\/(-48)*46\/d and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 6*r**4 - 1818*r**3\/7 - 11496*r**2\/7 - 13032*r\/7 + 672 = 0?\nAnswer: -4, -2, 2\/7, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5524988*w**2 + 5576717 wrt w?\nAnswer: -11049976*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 4*l - 24 = 0, 37*z + l - 15 = 39*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*p, -108 = -5*l + 9*l + p. Is l != -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 520.5 + -516.654. What is g rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 4715 + 4668 = 5*c, l = 3*c + 23 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23519, -47019, -70507, -93983, -117447, -140899, -164339?\nAnswer: -187767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3 = -28. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-34)\/2 + -1 + 0. Let x be -1 - (-4)\/((-8)\/s). Let w = x + 14. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18662 = -2*o - 3*i + 14738, o + 2*i - 16698 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**4\/12 + d**3 - d**2 - 30*d - 136. Let q(f) be the first derivative of p(f). Let n be (2 - 1) + -8 + 1. Calculate q(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 - -25. Suppose 3*o = -4*b + 900, y = 3*o + 5*b - 799. Is 38 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, w: 1, t: 5}. What is prob of sequence twzt?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -340*a**2. Let u(t) = 5*t**2. Calculate s(u(j)).\nAnswer: -8500*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 0 - (128 - 94)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1920))\/(sqrt(10) + sqrt(160)*2).\nAnswer: -16*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97 - 147. Let d = m + 53. Sort d, -0.3, 2.6.\nAnswer: -0.3, 2.6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3215 - -3205. Sort -2\/5, t, 1.5, 0 in descending order.\nAnswer: 1.5, 0, -2\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 728138 is divided by 3738.\nAnswer: 2966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*g - 11 = 0, b = 5*b + 4*g + 4. Suppose n - 3*q = 47, 3*n + 75 - 205 = -b*q. Calculate the least common multiple of 2\/(-7) - n\/(-7) and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6 (b) 0 (c) -1 (d) 443 (e) -0.268 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 7. Let s = -293 - -267. Calculate the lowest common multiple of s*r\/8 - 1\/(-2) and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 4\/(12\/39). Suppose 0 = -h + 5*g + f, 0*g - 4*g + 8 = -5*h. Let b be -7 + (-2 - -1) + 3. Are b and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 18*p + 50. Let s be q(-15). Put -1, 0, s in decreasing order.\nAnswer: s, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*(1 + sqrt(363)) - (sqrt(363) + -2*1*sqrt(363))**2 - 6*-4*(sqrt(363) + 5*(2 + sqrt(363)))**2).\nAnswer: 31658*sqrt(3) + 315665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 814\/(-5291)*26\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111133110 (base 4) in base 6?\nAnswer: -45551352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -110, 132, -4, -1, 0.5, 15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 207 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 26*j - 68 = 0. Suppose a - 5*o + 30779975 = 0, 4*a + j*o + 61560010 = 2*a. What is a rounded to the nearest one million?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + -36. Suppose k = 2*z + 66, -73 - 129 = -3*k + h*z. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1727657019?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 20 = -m. Let s(n) = 19 + 99943*n + 60056*n - 4. Let j be s(m). Round j to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 153 - 173. Which is bigger: -21 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 9*n**2 + 5. Let u be p(9). Suppose 3*h + 52 = 5*f, f - 2*h + 4 = -u*h. Calculate the lowest common multiple of 3 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*a + 39 - 117, -5*j + 105 = -5*a. Let s = j + -20. Solve 0*t = -2*c - 2*t + 2, 0 = s*c + 5*t - 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*j + 40*j + 2 + j**3 - j**2 - 2*j**3 in the form s*j**3 + b*j + v + o*j**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 11. Suppose 9 = -b*n - 3*s + 48, -2*n - 4*s + 10 = 0. Suppose 3*d - 75 = 141. Calculate the greatest common factor of d and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*x**2 - 185*x**2 + 223*x**2 - 168*x**2 - 51*x**2.\nAnswer: -219*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h**4 + 60*h**3 - 100*h - 24 = 0. Calculate h.\nAnswer: -1, -1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/323)\/((-2)\/4)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(2 + (-1)\/1). Let i(f) = f**2 + 5*f + 4. Let n be i(k). Factor n*w**2 + 1\/4*w**4 + 1\/2*w**3 - 1\/4 - 1\/2*w.\nAnswer: (w - 1)*(w + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.394398 - 1?\nAnswer: 8.394398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -ab5428?\nAnswer: -ab5425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16 - (10\/14 - (-4)\/14). Let p(j) = 20*j + 65. List the prime factors of p(w).\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*n - 4744 - 47, -4*y = -5*n - 19190. Suppose -23*z + 28*z = y. List the prime factors of z.\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 1 - -1677001*3. Suppose 6*n - v = -7*n. What is n rounded to the nearest 10000?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i. Let v(w) = -3*w + 10 + 4 - 14. Determine s(v(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -38. Is -1 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 331096474 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 51 = 255. Suppose 0 = -148*h + n*h + 45. Let q be 185\/(-7) - h\/21 - -1. Which is smaller: -26 or q?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 6*f**2 + 8*f + 8. What is m(-6)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -91. Let l = -62 + n. Suppose 7*y - 4*m - 47 = 4*y, -5*y + 50 = -m. Calculate the greatest common factor of y and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1023733672?\nAnswer: 2, 13, 2111, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 4*a**2 - 3*a - 7. Let n be z(5). Suppose n*g - 3 = -h - 10, g - 5 = -4*h. Let p(t) = -8*t + 26. Let w be p(3). Solve 0 = h*b + 2 + w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (11 - 1)\/(-2). Let b be -6*12*4\/(-18). Suppose 4*s - 4*i = -4 + b, -i = 4*s - 12. Solve s*t - 17 = 4*x, -4*t - 4*x = -x - v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 19*z = -20. Suppose -z*m = 3*j + 10, -5*m + 20 = -5*j - 9*m. Solve j - 16 = 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4444311.76 to the nearest one hundred thousand.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9984 = 18*y - 30*y. Is -830 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**4\/24 + t**3 - 3*t**2. Determine l(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17574495 is divided by 158.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -280, -698, -1138, -1612, -2132, -2710?\n\"Answer: -2*m**3 + m**2 - 407*m + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6989 - -6992. Which is greater: f or 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/57131 - 571343\/628441. Calculate the common denominator of h and 0 + (302\/88 - 1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 4:51 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3*s + 7, -s + 4*s = 3. Let x be z\/10 + 3 + 3 + -37. Which is greater: -32 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -2\/29, 0.9, 0.3, 0.04?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -466.7 + 467. Let g = -0.3 - -0.2. What is the nearest to 0 in g, o, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279984235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3106197)\/(-6)*20\/240 + 9\/24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (7 - (-2 - -10)) - 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -771, -0.2, -4, -13\/2 in ascending order.\nAnswer: -771, -13\/2, -4, -0.2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2459736*l**3 + 2*l + 2459808*l**3 - l - 4919550*l**3 - l.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -433*i**4 + i**3 + 1603*i?\nAnswer: -5196*i**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 3)*(-4 + 0 - 1)*(0 + h**2 - 2*h + 0) to the form r*h + x + u*h**2 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10827, 21652, 32477?\n\"Answer: 10825*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/1 + 4 + 56. Suppose 5*f - 3*f = s. Suppose j = 2*j - f. Calculate the remainder when j is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 3 = 4*v - 5, -5*v = -20 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1150 is divided by 1101.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*i**3 - 300987*i**2 + 281256640*i - 3057511424 = 0 for i.\nAnswer: 11, 16672\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9663 - -9696. Solve n*v - 48*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 231 + -171. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -327.578904 - -1148\nAnswer: 820.421096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3278 - -3282. Solve 3 = -3*n + s*k, 5 - 3 = -2*n + k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1*15\/9)\/((-235)\/(-564)))\/(228\/2337)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x - 32. Calculate f(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by -799848.\nAnswer: 13\/199962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 86 = 104 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d - 546 = -40. Suppose 9*v - d*v = -1820. What are the prime factors of v?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2239 is divided by 726?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3732507 (base 11) to base 4\nAnswer: -120300102111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/8*(-60816)\/4344?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen ninths of a week?\nAnswer: 19040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192, -171, -164, -177, -216, -287, -396?\nAnswer: -549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-14)*z)\/((z\/z**(2\/11))\/z)*(z\/(z\/(z\/(z**(-6)\/z)*z))*z)**(-20\/7) assuming z is positive.\nAnswer: z**(-3187\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 206\/11 in 4, -3, -0.4, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cuuuucuuccu.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -11361303.91?\nAnswer: -11361300.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 6*y**2 - 4*y - 4. Let l be b(-6). Suppose l = 34*g - 32*g. 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: What is the common denominator of 13\/22 and 107\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = s + 7*z - 2*z, 0 = -5*s + 3*z + 55. Let p be (-2)\/(-8) - (-46)\/s. Let r(c) = -c + 7. Let a be r(p). Is 0 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -36. Let w(o) be the first derivative of -1\/3*o**3 + 0*o**2 + r*o - 1. What is the first derivative of w(n) wrt n?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**5\/30 - n**2. Let c(h) = -8*h + 21. Let v(q) = -3. Let j(s) = 2*c(s) + 14*v(s). Determine p(j(k)).\nAnswer: 512*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 4:05 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/5 or 4.49?\nAnswer: 4.49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33, -72, -111, -150, -189, -228?\n\"Answer: -39*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 291, 578, 861, 1140?\n\"Answer: -2*n**2 + 293*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 14. Let k(h) = -h - 14. Let l(c) = 4*k(c) + 6*t(c). Let d be l(-14). Is 8\/11 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39304 and 181560.\nAnswer: 52470840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of v**3\/3 + 1. Let z(d) be the second derivative of 0*d**2 - 21*d + 0*d**3 - 1\/6*d**4 + 0. Calculate z(t(k)).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -11150022?\nAnswer: -11150031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7, -30, -4, 0, 5, 26\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -58 - 38d6ea?\nAnswer: -38d742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 7*t + 6. Let r be x(-4). Let w be (42\/(-119))\/(r\/4). Does w = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (544 - (0 + 2 - -2))\/1. Suppose 2*d - q = -5*c - 134, -3*d + 559 = -5*c. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 2:33 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/9 - 16\/(-48). Let w = b - 134\/99. Sort -2\/7, 0, w.\nAnswer: -2\/7, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = 2*u. Let o be (72\/(-60))\/((-2)\/(-5)). Let x be 2 - (o\/(-1) - 1). What is the nearest to -2\/7 in 2, u, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 5:55 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.44544 litres to millilitres.\nAnswer: 33445.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**3 - 25011*z**2 - 50178*z + 1200816 = 0.\nAnswer: -8, 6, 8339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/((r\/(r*r**(-3\/5)))\/r))))\/r)\/r*r**(-1\/13)\/r assuming r is positive.\nAnswer: r**(-109\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.187*29.6.\nAnswer: -94.3352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 49992249298 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 168 - 60 = 4*j, 5*j = 4*d - 230. Calculate the highest common factor of 50 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*n = 5*c + 3, 4*n - 12 = -3*c. Suppose c*w + 1316 = 4*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96.05 * -66\nAnswer: -6339.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-777)\/(-1665) + 1*2\/10?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -991 (b) -0.22 (c) 0.007 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008446 to seven dps.\nAnswer: -0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*v + 2*v - 4*v)*(22*v - 54*v + 1 + 28*v).\nAnswer: 68*v**2 - 17*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.47 take away -884104.2?\nAnswer: 884101.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2684*b - 126110. Calculate z(-47).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6949001.7ns to hours.\nAnswer: 0.00000193027825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 149 + -70. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)\/(f\/f**(-1))*(f**(-1\/3))**45)\/((f\/(f*f*(f*f**(-3)*f*f)\/f)*f)\/(f**0\/f))**(-2\/35) assuming f is positive.\nAnswer: f**(-626\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i = -17*i + 16, 2*g - 2*i = 7798. Does 34 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 - 42. Calculate the greatest common divisor of f and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1615275 (base 8) to base 11\nAnswer: 2988a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1691 + 146. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/19)\/1 - -1. Let w be 7956\/(-1520) + (-4)\/20 + 2. Let d = l + w. Is -3 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1091 - -762. Let l = -328.9999831 - h. What is l rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 - ((-4 - -5) + -26) - 6?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 177\/4 < 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/9)\/((-2)\/3). Suppose 5*l + 2*v + 2*v = -11, 0 = 5*v - 5. Let d be (-3)\/(-2 - -5) - l. Is d bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 5*b + 290742182 + 267793, -x + 291009985 = 3*b. What is x rounded to the nearest 1000000?\nAnswer: 291000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11112012022 (base 3) to base 14\nAnswer: 2466d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 12*a**2 - 2*a + 23. Let z(p) = 7*p**2 + 12. Let s(t) = 3*y(t) - 5*z(t). Calculate s(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1238559 divided by -135?\nAnswer: -412853\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.391727 + 23359838.\nAnswer: 23359838.391727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9367 + 18*y**3 - 9367.\nAnswer: 18*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + sqrt(13) + -1)**2 - (sqrt(416)*2)\/sqrt(2).\nAnswer: -12*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (13 - (-4)\/(-2))*-1. Let h = 0 - b. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237*p + 234*p + f + 173 = 0, 3*p - 171 = 3*f. Does p = 57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 2. Suppose -8 = -2*x + 2*i - 0, -4 = -4*x + i. Let w be g(x). Let l = 0.3019 + -0.1019. Which is the nearest to 2\/5? (a) -5\/2 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257664.\nAnswer: 2, 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z**2 + 12*z**2 + 10*z**2 to the form g*z**2 + k + b*z and give g.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.6143321 rounded to 1 decimal place?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -34*p - 5. Let t be y(-2). Suppose -4*h + t = -3*i, -2*h - 3*i + 21 = -24. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 161 + -185. List the prime factors of 4\/(-5)*4860\/j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54179259*m**4 + 21605*m + 62?\nAnswer: 650151108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*t - 30, -2*h - 3*t = -0*h - 32. Let v = -35 + 45. Suppose 9*c - 8*c = v. What is the greatest common divisor of h and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/248)\/(55\/(-110))?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*u + 15 - 9 - 17*u**5 - 6 wrt u.\nAnswer: -340*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 448 + 10 + (3\/6)\/((-9)\/(-36))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 845 divide 7994545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*f = z - 19, 5*z + f - 121 = 0. Let a(r) = r**3 + 10*r**2 + 14*r + 32. Calculate the remainder when a(-6) is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-36722\nAnswer: -7344.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1275 divided by -85?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l - 2. Let r be o(-1). Suppose -4 = -2*a + 5*k, k + 4*k = -r*a + 44. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 13 = -1. Let q = m - 3. What is the common denominator of 117\/10 and 52\/(-10)*q\/32?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-20))\/((-1)\/20). Let i(b) = -8 + 27*b + 30*b + 32*b - 98*b. Let k(w) be the first derivative of -3*w**2 - 5*w + 16. Calculate s*k(h) + 5*i(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, r: 2, x: 2, q: 2}. What is prob of picking 2 n?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 716.1 + 4023198426?\nAnswer: 4023199142.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*x - 1188000 + 1188000 + 25*x + 26*x - 85*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 25. Let b be (-1 + f)\/(3\/(-9)). Sort b, 0, 5 in decreasing order.\nAnswer: 5, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 57?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**9*f)\/f)\/f**(1\/14))\/(f**(-3\/7)*f**(2\/3)) assuming f is positive.\nAnswer: f**(365\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(0 + (7 - 2 - 6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/(((-7)\/42)\/(2\/3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 20 = -5*o, -4*o = -455*t + 456*t - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-80)\/18 - 0) + (-106 - -26)\/(-20). What is the nearest to -82 in d, 2\/9, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(4) - (sqrt(144) - sqrt(144)*-6)) + 2)*4.\nAnswer: -4*sqrt(5)\/41 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1465.27*-5.\nAnswer: 7326.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 12*c = -13*c - 1816, -4*q + 2416 = 4*c. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -23. Let k = 24 - y. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, d: 2, t: 1, h: 1}. What is prob of picking 4 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -72, -113, -162, -225, -308?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -92 in descending order.\nAnswer: 5, -3, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1163201, 1163204, 1163207?\nAnswer: 1163210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -18573\nAnswer: 1\/6191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 23463094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from {o: 2, p: 1, t: 7}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = p - o, 8*o - 3*o - 21 = p. List the prime factors of p\/(-4*4\/(-256)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/14 - (-1)\/2. Suppose 2*y + f*o = 0, 3*y - 4*y - 15 = 4*o. Solve 4*s = -5*a - 37, 22 = -y*a - 2*s + 3*s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6520*m**3*z**3 - 83*m**2 - 4*z**3 - z**2 wrt m?\nAnswer: 39120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -162a8 + 7?\nAnswer: -162a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 2, -2\/219, 5, -2.\nAnswer: -2, -2\/219, 1\/3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/((-8)\/(-20)*40\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*i**2 + 114*i - i**2 + 53*i to y*i + s*i**2 + k and give y.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*z - 2. Let i(q) = q. Let s(f) = -f**2 - 13*f - 9. Let k(r) = z*s(r) + 6*i(r). Give k(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 5:01 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -1211?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -7\/901?\nAnswer: -7\/901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, -5, -42.\nAnswer: -42, -9, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -121*y**7\/105 - 11*y**5\/20 + 253*y**2. Find the third derivative of l(a) wrt a.\nAnswer: -5808*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-149.\nAnswer: -745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1251847 (base 11) to base 16.\nAnswer: -211982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**3\/9 + 26*a**2\/9 - 32*a\/9 - 56\/9 = 0.\nAnswer: -14, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11926 and 12816?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14728130 + 84?\nAnswer: 14728224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*x, -6*x = -x - 3*v - 21. Let t = x + 2. Which is smaller: 72\/11 or t?\nAnswer: 72\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**6\/60 + g**5\/2 + g**4\/8 - 6*g**3 - g**2 - 57*g. Let z be w(15). Solve -5*r - 4*r = -z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -9*y**2 - 754*y - 1295. Give v(-82).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjr when three letters picked without replacement from {j: 2, t: 1, w: 1, r: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 0, 12 = 3*i + 3*p - p. Sort i, 5, 8, 1 in ascending order.\nAnswer: 1, i, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*62.\nAnswer: -37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x - 10*x + 11*x)*(4*x + 35 - 35 + (3 + 1 - 3)*(x + 3*x - 3*x) + 0*x - 2*x + 0*x + 4*x - 3 + 3 + 0*x - 3*x + 0*x).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.721 - 17.8. Let w = 0.07899971 + x. Round w to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185391043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 181, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9042654 is divided by 3014207?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068 a factor of 1003080552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + w - 7, 23*w - 13 = v + 19*w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - (9 + -22)) + -1 + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(77)*2 - sqrt(77) - 5*sqrt(77)*3)\/((sqrt(484)\/(sqrt(22)\/sqrt(2)))\/(sqrt(8)\/sqrt(18))).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*l - 14*l - 21*l - 13*l - 123*l.\nAnswer: 122*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5\/2 + 11*z**4\/2 - 19*z**3 - 301*z**2 + 245*z\/2 + 8575\/2 = 0.\nAnswer: -7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*x**3 + 28*x**2 - 40*x + 16 = 0. What is x?\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -7\/4, 0, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 + 0.831. What is t rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eiii when four letters picked without replacement from {i: 10, e: 4}.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15069?\nAnswer: 3, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 4*u - 112. Let b be z(-13). Suppose r + 24 = 4*p + 34, b*r = p + 69. Calculate the lowest common multiple of r and 51.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 880048 is divided by 3121?\nAnswer: 3047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14302620?\nAnswer: 2, 3, 5, 181, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880)*-1 + sqrt(240)\/sqrt(108))\/(sqrt(1440) + -6*(sqrt(1440) - (sqrt(1440) + sqrt(1440)*3 + sqrt(1440)))).\nAnswer: -7*sqrt(2)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -6. Suppose -v*i = -3*i. Let f = -40\/3 + 13. Is i less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 575 (base 8) to base 7\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 0. Let g = -1283 + 8983\/7. Is g bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 11:25 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*v + 6348 + 2050 = 0, 3*l - 3*v = 8430. Calculate the greatest common divisor of l and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -1\/20*f**5 - 38*f - 7\/12*f**4 - 3\/2*f**2 - 7\/6*f**3 + 0. Let x be j(-6). Solve q = 4*q + x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5727\/17 - 337. Which is the nearest to 1? (a) 1\/3 (b) h (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 522615167 + -1?\nAnswer: 522615166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 2302928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 + 0*g**2 - 2*g**2 + (1 - 3 + 0)*(-9*g + 8*g - 35*g)*(-7*g + 3*g + 3*g).\nAnswer: -73*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -518 divided by -14251?\nAnswer: 518\/14251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11601 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -269788.\nAnswer: -269787.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 14*p**2 - 26*p**2 + 2*p. Calculate j(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*p**3 + 46*p**2 - 26*p**4 - 17*p**2 - 73*p**3 - 4 + 29*p**4 to a*p + i*p**4 + x*p**3 + z*p**2 + n and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1833 at most 1.16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((10 + -10)\/8)\/(-3). Let y(q) be the first derivative of 6 - 8\/5*q**5 - 4\/3*q**3 + 0*q**2 + v*q**4 + 0*q. What is the third derivative of y(p) wrt p?\nAnswer: -192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 7:09 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 521 and 97948?\nAnswer: 97948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(6\/5)*o*(o*((o\/o**(-22))\/o*o*o)\/o)\/o assuming o is positive.\nAnswer: o**(126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 4*x + 80 = 5*p, -2*x - p = 68. Let d = x + 179. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -7*k**5\/60 - 11*k**4\/24 - 5*k**2. What is the second derivative of o(p) wrt p?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 40545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-30 - 7 - -62)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 2*v + 3*g - 12 = 0, -5*v = 3*g + 643 - 639 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r = 29*r. Let k = 32 - 21. Let n = -7 + k. Solve o + n - 2 = r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 202933*g**4 - 43*g**3 - 56534470*g - 1 wrt g.\nAnswer: 2435196*g**2 - 258*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 + 73. Let x(g) = -7*g - 4. Let v = 41 - 42. Let j be x(v). Solve -4*y + 7 = -3*y - t*m, 5*y + 1 = j*m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1149*i - 1118*i + 248 = 0 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 6:54 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -775, -1561, -2335, -3091, -3823, -4525, -5191, -5815?\n\"Answer: r**3 - 793*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 12*b - 17. Let i be a(17). Let m = -68 + i. Solve m = -4*s - 5*c - 7, 2*s + 0*s - 16 = 4*c for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 37*r - 13. Is k(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 + 1491*g - 1495*g - 67.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -42*f - 20. Let n(u) = -41*u - 21. Let b(x) = 6*k(x) - 5*n(x). What is the derivative of b(q) wrt q?\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-1) + 197 + 761460\/(-3773)?\nAnswer: 90\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**5\/30 - 4*x**4\/9 - 5*x**3\/9 + 14*x**2\/3 - 2*x + 5. Factor f(j).\nAnswer: -2*(j - 1)*(j + 2)*(j + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 845, 4, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 7*b**3\/3 + 3*b**2\/2 - 3*b - 6. Let g be v(-2). Solve -g = -3*a + a - 3*w, 4*a + 12 = 4*w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*j - 46 = 0, k - 2*j + 8 = 2*j. Let r = -29 - k. Let g(a) be the first derivative of a**4 + a**3\/3 - a - 1. Determine g(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3135.578513 + -3.1.\nAnswer: -3138.678513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)*u\/(u\/(u\/(u\/u**19)*u*u)))\/(u*u**4)**3 assuming u is positive.\nAnswer: u**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3157949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 155.3 - 0.15439.\nAnswer: 155.14561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6658892.11 - -4?\nAnswer: -6658888.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 992.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from qpfpbyqww?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11101111000 (base 2) to base 5\nAnswer: -30122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 11*c**9\/252 - c**5\/5 + 4*c**2 - 32*c. Let h(r) be the first derivative of j(r). Find the third derivative of h(v) wrt v.\nAnswer: 2640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 19 = -3*g, 2*k + 4 - 14 = -2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -614 + 607. What is the nearest to -0.1 in -7\/6, r, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 + 62. Is h equal to 2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00136853125 to seven decimal places.\nAnswer: -0.0013685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 252*z - 11 - 214*z - 2. Does 6 divide n(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/3)\/((-2)\/3). Suppose -17 = 61*h - 44*h. Sort i, 0, h in increasing order.\nAnswer: h, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2463 + -232?\nAnswer: 2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*p**3 - 844*p - 598*p - 600*p + 2044*p.\nAnswer: -66*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29502 - 10197 = 33*d. Suppose -5*j + 295 = -d. What is the highest common divisor of j and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13035331 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002707318142 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 590, 2384, 5370, 9542, 14894, 21420?\nAnswer: 29114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8102*l + 16*l**2 - 4047*l - 1279*l**4 - 10 - l**2 - 4055*l wrt l.\nAnswer: -30696*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -21. Solve -5*p + 5*w - 21 = -p, n*p + 3*w = 18 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 18, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 469655800 to the nearest integer?\nAnswer: 21672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(3) + sqrt(3) + (sqrt(12))**2) - ((sqrt(18)*2)\/sqrt(6))**2) + 1 + -2 + (sqrt(6) + -6*sqrt(54))\/sqrt(2).\nAnswer: -85 - 29*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q + 4. Suppose 12 = -29*l + 33*l. Let k(f) = f**3 - 4*f**2 + 3*f - 3. Let j be k(l). Let z(d) = -5*d + 4. What is j*i(u) + 2*z(u)?\nAnswer: 2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + o - 60. Let z be t(-8). Let b be z*6\/6 - -31. Suppose 0 = 5*l - 4*h - 32, -5*l = 2*h - 3 - 11. Put b, l, -4 in decreasing order.\nAnswer: b, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4327?\nAnswer: 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 10. Suppose 4*x - 3 = x. Let g(a) = -x - 5*a**2 + 0 + 0 - a**3 - 1 - 3*a. Determine g(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314666369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -19*g**3 - 5*g**2 + 10*g - 5. Let p(r) = -20*r**3 - 6*r**2 + 10*r - 6. Let o(j) = 6*h(j) - 5*p(j). What is the second derivative of o(y) wrt y?\nAnswer: -84*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 + 0)*(-136 - 48 - 736)*(5*p - 3*p + 0*p) in the form k + b*p and give b.\nAnswer: -3680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 21*b + 1. Let m(j) = j**2 + j + 63. Calculate the remainder when m(0) is divided by w(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 5:15 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-3\/5))**(3\/7)\/(a*a**(5\/6)*a*a*a**(1\/4)))**(-2\/147) assuming a is positive.\nAnswer: a**(1427\/30870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-74)*(48\/(-12))\/((-11)\/44*-36)?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*s = 27*s. Solve -5*f = -5*q - s - 5, 12 = 4*f + 4*q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4628 - 4618. Let m be -15*(2\/(-2) - 0). Suppose -m*k = -13*k - s. Solve 17 = -k*p + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374*n + 16*n**2 - 53*n**2 - 54*n**3 + 37*n**2 + 374*n.\nAnswer: -54*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-34)\/(-2) + (-2 - -2). Suppose -o + m + 3 = 0. Let f = o - 3. Calculate the highest common divisor of 51 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**4 + w**2 - w**2 + (2*w**4 + 3*w**4 - 6*w**4)*(-2 - 5 + 5) - 10 + 10 - 74*w**4.\nAnswer: -71*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3272)\/4908*24\/2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouk when three letters picked without replacement from {u: 1, o: 2, p: 2, k: 1, v: 2, r: 4}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3965447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -v, -4*q - 4*v = -20. Suppose q*d - 17 = -0*w - w, 4*d = 4*w + 4. What is the derivative of 27*s**d - 32 - 10*s**3 + 21 wrt s?\nAnswer: 51*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/42*(-7)\/30.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648999 is divided by 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 1\/5*t**5 + 0*t**4 + 1\/40*t**6 + 0 + 21*t**2 + 0*t + 0*t**3. Factor o(b).\nAnswer: 3*b**2*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 1 = -13*z + 14*z, -z + o + 9 = 0. Suppose -5*r - 355 = -5*i, -91 = -2*i + i - 4*r. Let g = 138 - i. What is the remainder when g is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 19, 76, 225, 514, 991, 1704, 2701, 4030?\n\"Answer: 8*z**3 - 2*z**2 + 7*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1031, -2064, -3097, -4130, -5163?\nAnswer: -6196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 15. Let o = 34 - c. Let w = o - 20.912. What is w rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**3 - 2*z**2 - 706*z - 5731. Give k(-8).\nAnswer: 1325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -241 divided by -1\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z - 27. Let b be u(-11). What is the highest common factor of b and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/3 and 59\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1\/21))\/f*f)**45*f*f\/f**3*f**(-8)*f*f assuming f is positive.\nAnswer: f**(251\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15309\/5 - -15971\/5. Let w = 132 - f. Let i be (8\/(-30))\/((-6)\/5). What is the nearest to w in 5, i, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (6 - 1 - (8 + 12 + -20)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 627810.1t to nanograms.\nAnswer: 627810100000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1488\nAnswer: 1\/1488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/12)\/(4\/(17486 - -2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108524.\nAnswer: 2, 13, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 + 10 - -4) + (-1 - (0 - -1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -212 - -308. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m. Let p(q) = -9*q + 4. Let y(f) = -20*f + 10. Let z(w) = -11*w + 65. Let u be z(5). Let o(r) = u*p(r) - 4*y(r). Give h(o(x)).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.6*-6.\nAnswer: 51.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*j - 134 = 4*j, 3*b - 88 = 4*j. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11490014 and 16.\nAnswer: 91920112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328760397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -472800 to the nearest ten thousand.\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 0.3, -0.02, -33.999?\nAnswer: -33.999","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 7*n**4\/4 - 3*n**3 - 7*n**2\/2 + 9*n - 27. Let m(z) = -3*z**3 + 4*z**2 + 3*z - 4. Calculate 9*m(l) + 4*x(l).\nAnswer: l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/9389 - 39166\/7558145. Let x = -11234\/7245 + o. Let m(h) = -59*h + 470. Let g be m(8). Which is smaller: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 divided by -5.\nAnswer: -87\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4)*-1)\/((163800\/(-5520))\/273)\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -20 - 2\/((-12)\/150). Factor -3\/7*n**4 + 0 + 3\/7*n**f - 6\/7*n**3 + 0*n + 0*n**2.\nAnswer: 3*n**3*(n - 2)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247524340 is divided by 1577?\nAnswer: 1574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 28654182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-156)\/(-637)*7)\/(9\/42)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -575025 by -935.\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -83, -194, -401, -710, -1127, -1658, -2309?\n\"Answer: -k**3 - 42*k**2 + 22*k - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 144.9999784 - 145. What is u rounded to six dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - 0.45. Let i = v - -2.95. Let u = i + -2.5. Which is the biggest value? (a) 0.1 (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 3. Suppose w*r = -5*u, r + 2*r + 4*u + 3 = 0. Let v = 1.8 + -1.9. Which is the smallest value? (a) v (b) -4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 1644*v**2 - 337842*v.\nAnswer: -2*v*(v - 411)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*i + 3*f, 6*f - 2*f + 13 = 3*i. Let j be 70 - ((-4)\/6 - (-3)\/9). Let q = j - 2261\/33. Which is greater: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 17. Suppose 2*o + 26 = -0*o. Let a be p(o). Let w = -9.1 + 9. What is the closest to a in 4, w, -3\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(6\/(-6)) + -6 + 0. Let s = -22 - w. Which is greater: s or -15\/23?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3245, -14037, -32017, -57185, -89541, -129085?\n\"Answer: -3594*t**2 - 10*t + 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2742, -2828, -2912, -2994, -3074, -3152, -3228?\n\"Answer: q**2 - 89*q - 2654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 8:43 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1750 divided by 5?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 58414, 233400, 524966, 933112?\n\"Answer: 58290*a**2 + 116*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (20 - 15 - (-1 + 6))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5d51 - 3?\nAnswer: -5d54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*a*i*j**2 + a*j**2 + a - 6*i*j**2 - 2*i wrt a.\nAnswer: 11*i*j**2 + j**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*z - 5*t - 12, -4*t = 0. Suppose 4*m = 0, -5*y + 4*m - 2 = -7. What is the lowest common multiple of y and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124873, -255787, -386701, -517615?\nAnswer: -648529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 55\/35*(-4)\/3. Let q = -5\/3 - i. Let u be (-2)\/6 - (-7 - -5)\/10. Which is the smallest value? (a) 0.01 (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 395988433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3876*x + 3886*x - 7762*x - 8*x**3.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 11. Suppose -o - 2*f + 3 = 0, 2*f + f = i*o - 67. Let j(m) = -4*m - 3. What is the remainder when j(-7) is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*(sqrt(1584) + (sqrt(1584) + -1)**2) + -4.\nAnswer: -4758 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2569, -5145, -7721, -10297, -12873, -15449?\n\"Answer: -2576*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*p - 2*n + 3194273, -13*p + 4*n = -10381385. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - x**2 + x + 1. Let h(g) = g**3 + 5*g**2 - 4*g + 9. Let l(p) = -h(p) + 2*u(p). What is l(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, n: 5, s: 3, x: 5, i: 4, j: 1}. What is prob of picking 2 i?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 4. Suppose 0 = 4*u + q - 25, -4*u - t*q + 15 = -5*q. Suppose 0 = -3*v - 6, 5*d - 4*v = 13 + u. Solve -3*f - g + 5 = 0, 2*g - 13 = -5*f - d*g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*l - 20 = 0. What is the highest common divisor of l and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + -0.3. Let g = -0.4 + n. Let w = 4829\/2 + -2417. What is the closest to 2 in -1, g, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 3:44 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33\/7 + 6\/21. Let s(i) = -i**3 + 5*i**2 + 3*i + 6. List the prime factors of s(v).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**3 + 32*k**2 + 3*k**4 - 2*k**3 - 2*k**3 to g*k**4 + h*k + m*k**3 + j + o*k**2 and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 1 = -5. Let k be 5 + (p - (-3)\/(-3)). Suppose 0 = -0*q - 5*q + 10. Solve -q*c + 5 = k*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8 and -0.13.\nAnswer: 0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 3*v - 9. Let t be d(5). Is t greater than -1\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4 - 57*l - l**4 - 39*l + 90*l**2 + 6*l**4 - 24*l**3 + 33 - 5*l**4.\nAnswer: -3*(l - 1)**3*(l + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16674 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/13709 and 14\/1215?\nAnswer: 16656435","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*q + 2. Solve -5 = -4*a + 5*y + 15, -q*a + 10 = 2*y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 44\/(-14) - 11\/(-77). What is the second biggest value in 1\/4, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/77 and 51\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 35.47 (c) 0.3 (d) 1\/12 (e) 2\/9 (f) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -4\/9 (b) -0.03 (c) -0.16669\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 164\/11 - 1\/11*x**2 - 163\/11*x.\nAnswer: -(x - 1)*(x + 164)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12534, 46461, 103002, 182157, 283926, 408309, 555306?\nAnswer: 724917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 195 + -161. Let f = t - -50. Let s = 42 + -14. What is the highest common factor of s and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -4*k**5\/5 + 3*k**4 + 100*k**3\/3 + 42*k**2 + 43. Factor i(o).\nAnswer: -4*o*(o - 7)*(o + 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69\/280 + -1\/280. Sort 7\/5, 1, -2, k in decreasing order.\nAnswer: 7\/5, 1, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**3 + 12631*q**2 + 3*q**3 - 12631*q**2.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -3*t - 5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4730, 9413, 14096, 18779?\nAnswer: 23462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 355*r**2 + 80213*r - 3786. What is g(-226)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -102a5 - 132?\nAnswer: -103d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 693 and 84?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 403 or 406?\nAnswer: 406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24834914 divided by 157183.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 11945430?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28*((-20)\/64)\/(95\/228)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 383610?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -87\/170 - 3\/34. Let b be 7\/(-196) - (-2)\/7. Let o be (-2)\/(-5)*1\/(-2). Put o, b, y in descending order.\nAnswer: b, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4852 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3006675 and 16215.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6152 divide 423600557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 19*s + 63. Give z(-21).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80219*b**5 - 2*b**3 + 9*b**2 - 2*b - 149 wrt b?\nAnswer: 4813140*b**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-8))\/(2\/(-8)). Suppose 57 - 420 = -w*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 6. Let y(a) = 27*a**2 - 24*a + 4. Let w(l) = -2077*l**2 + 1860*l - 310. Let r(s) = 2*w(s) + 155*y(s). Give d(r(z)).\nAnswer: -31*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2744\/(-504))\/(1428\/(-13770))?\nAnswer: 105\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u**2 + u + 6. Let z(j) = j**2 - 1. Suppose -r = 4*o - 4, -o - 4*o + 10 = 0. Let s(t) = r*z(t) - v(t). Give s(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.76 + -11. Let m = 8.76 - l. Let p = m + -14. Which is the nearest to -0.3? (a) -1\/2 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 293.9529 + -294. What is p rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 10:36 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -8*r**2 - 1\/20*r**5 + 0*r + 1\/2*r**3 + 0 + 0*r**4. Solve y(o) = 0 for o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62388965 is divided by 53.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeexeeuxuuxxb. What is prob of picking 3 u?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 40390 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3958.\nAnswer: 2, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 26*t - 1. Let k be m(2). What is the greatest common factor of k and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -271 less than -17081\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 4 + 4)*(2 + 3*t - 3*t - 2*t**2).\nAnswer: -6*t**4 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 7:29 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.068, -7, 0, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 321*w + 9. Does 33 divide y(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y + 4. Let l(d) be the third derivative of d**4\/24 - d**3\/6 + 7*d**2. Give k(i) + 4*l(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 0 - (-36 + 6 + (9 - -40))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -1, 2, 1\/8, -90.7?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4845*w - 43. Let t be g(2). Let u = 520955\/54 - t. Calculate the common denominator of 103\/30 and u.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m + 1. Let a be k(-1). Let c = 10 - 2. Let q(l) = 8 - 3 + 4 - 1 + c*l. Let j(g) = -7*g - 7. Give a*q(n) - 6*j(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14885 - 14882. Solve -d*s + 5*s = 42*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -696*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.524 (b) 2 (c) -4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -9*t. Let o(k) be the third derivative of -k**4\/6 - 14*k**2. Give i(o(q)).\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -438.1185 + 4.4685. What is d rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2789, -2517, -2245, -1973, -1701, -1429?\nAnswer: -1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*v = -10*r + 4, -1 = -v. Solve 4*f + 0*o - o + 12 = r, -15 = 5*f - 3*o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**2\/2 + 7*x + 3. Let s be l(-3). Solve -5*k + s = -3*m, 0*k = -3*k + 3*m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 8*j**2 - j + 9. Let l be d(8). Let r = l + 10. Let s = r - -22. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - ((-11050)\/578 + 3)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.162, 0.039, -957?\nAnswer: -957","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4018 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 s = -921 + 837. Sort -1, -0.4, 1, s.\nAnswer: s, -1, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*h - 74*h + 129*h**2 + 85*h in the form q + a*h**2 + v*h and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2) - (-3)\/(-2). Which is the second smallest value? (a) -5 (b) 5\/6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(3\/5)))\/z*z*(z*(z**(1\/5)\/z)\/z)\/z*z*z**(-2\/3)\/(z\/(z**(6\/11)\/z*z)))**13 assuming z is positive.\nAnswer: z**(-5408\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 194 - 194. Suppose -2*u + 4*u + 3*k - 592 = q, 4*k = 0. Is 21 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**3\/3 + 2*x**2 + 19*x. Calculate n(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 118316*d**3*w**3 + 32*d**3*w - d**2*w**2 + 1057*d*w + 2*d wrt w.\nAnswer: 709896*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2954 and 2674.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**4 + 186*s**2*t**2 + 590*s*t - t**2 wrt s?\nAnswer: 24*s**2 + 372*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 252012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d + 1492?\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*l + 55. Calculate the highest common factor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5671 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-756)*(-6)\/(-2)*3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 19 = -4*o, 2*o = a - 5*a + 104. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73105 - 50817. What are the prime factors of g?\nAnswer: 2, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17169 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 divided by 8.\nAnswer: -91\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - h + 28, 0*h = -2*v - h + 10. Suppose v = d + 2*d. Let z = 0.2 + -5.2. What is the nearest to 1\/5 in z, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 10 = -0*v. Suppose 0*s + v = 5*s. Let i(f) = 5*f - 6*f - s - 2*f. Give i(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/25 (b) 440 (c) 0.1 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359538722?\nAnswer: 2, 619, 290419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772469 is divided by 85817?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6449, -25553, -57393, -101969, -159281, -229329?\nAnswer: -312113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 197\/(285650\/812)*5\/2\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*s + 3*w = -11, s - w = -3. Calculate the least common multiple of 1462 and s.\nAnswer: 2924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 471751732531 + -471763094743.00037. Let d = t - -11362161. Let s = d - -51. Round s to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10\/411, -4, -5, -2.86, 1, 1\/5?\nAnswer: 10\/411","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 11. Let m = 22 - 22.2. Which is the smallest value? (a) y (b) m (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(432) + 3)*-6)**2)*3.\nAnswer: 7776*sqrt(3) + 47631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 + 646*b**2 + 1320*b - 6914. Give d(325).\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(3)*4 - -1*sqrt(128) - sqrt(8)\/(2*(sqrt(4)*-2 + sqrt(4)) - sqrt(4)).\nAnswer: 37*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 876782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395 - 405 = 2*n. Let z(l) = -l**3 - 4*l**2 + 6*l + 5. Give z(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 61 (b) 2 (c) -4 (d) 0.2 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 9. Let z be (j\/36)\/((-1)\/(-1044159)). Let q = -11947 + z. Round q to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -673 + 1173. Let x be (30\/9)\/1*3. What is the highest common factor of h and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 4. Let i be g(8). Let j be (1 + -1)\/(i\/2). Solve l + 6 - 5 = j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -4055?\nAnswer: 4055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*q - 22 + 25 - 15*q + 281*q**2 + q in the form s*q + b + f*q**2 and give f.\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 71 divided by 7937\nAnswer: 71\/7937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, i: 5, p: 2}. What is prob of picking 1 w and 1 p?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h - 2*h)*(5 + 5*h - 5)*(h + 1 - 1).\nAnswer: -15*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0187846 and 477995.\nAnswer: 477994.9812154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = 5*w + 252. Let r = w - -24. Solve 5*k - 14 = r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 335 + -329 + (-1)\/(2\/4). Which is the nearest to -4\/5? (a) 1\/4 (b) -13 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 p when three letters picked without replacement from {k: 9, y: 4, c: 1, a: 4, p: 2}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16572177\/130 - 127479. Calculate the common denominator of q and 19\/143.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26.5 times -4.16\nAnswer: -110.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 1 - 9 = 0. Suppose -x*b = -3*b. Solve 2*h = 0, -3*y + b*h = h + 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6660*n - 3130194. Give g(-470).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184140 = 8556*a + 22410 + 250425 - 12063 for a.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.6966 (b) -22 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.5 + 19.5. Let k be (22\/(-165))\/(2\/10). What is the nearest to 1 in 3, c, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1768, -1\/3, -5 in ascending order.\nAnswer: -1768, -5, -0.5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 12 + 79*f - 62*f + 9. Is m(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/108*94 - (-2)\/9. Let r(o) = -2*o**2 + 7*o + 7. Suppose -5*k + 31 - 1 = 0. Let a(p) = -2*p**2 + 6*p + 6. Determine k*a(c) + s*r(c).\nAnswer: -2*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2672*b**2 + 32285*b*u**2 - 687525608*u**2 wrt b.\nAnswer: 5344*b + 32285*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1932, -7855, -17766, -31665, -49552, -71427?\n\"Answer: -1994*l**2 + 59*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by 4\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -19530*i**2 + 1. Let y(h) = -2*h - 13. Calculate y(b(q)).\nAnswer: 39060*q**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1687*i**5 + 0*i**2 + i**2 - 275*i**5 + 7109 - 6513 wrt i?\nAnswer: -117720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (5 + (-4 - 1))\/2. Is v less than -18\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5598 is divided by 224?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 445600?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114 - (-13 - (22 + -18 + -25) - 16).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 2478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -12*i + 300. Calculate m(-28).\nAnswer: 636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 20\/67?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 (base 4) in base 13?\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -17*o + 239 + 55 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1271*j - 10. Is p(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 3:32 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.10555 times -42780\nAnswer: 4515.429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*d - 24. Suppose 0 = 5*b + o - 452, 21 = b - d*o - 82. Let k = 129 - b. Calculate the highest common factor of k and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 713736029*c + 504817984 with respect to c.\nAnswer: 713736029","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6996099.\nAnswer: 3, 11, 19273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*r - 27 = 0, -3*r + 22 = 3*q - 5*r. What is the greatest common divisor of q and 232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 687*f**2 + 536*f + 31. Is d(24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1737\/(-82485)*15\/(-6) + (-201)\/5226.\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -19*l - 226. Let r be (-18)\/(-24)*-12*11\/3. Is q(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 1:09 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 535*c**3 + 63*c**3 + 8920*c + 1449*c**3 - 1001*c wrt c?\nAnswer: 12282*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**7\/s)\/s)**(-2\/29)*s**(5\/8)\/s**(-1\/4) assuming s is positive.\nAnswer: s**(123\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -83, -247, -495, -827, -1243?\n\"Answer: -42*m**2 - 38*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(1\/((16\/4)\/1)). Let x be 0 - (1 - 4\/2). Sort c, x, -5 in descending order.\nAnswer: x, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + -1.7. Let n = 4 + -5. Let h = d - n. Which is the biggest value? (a) -0.4 (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -253 (base 9) in base 3?\nAnswer: -21210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 14 - 6 = 0. Find the second derivative of -7 + 7 + 3*c**o + c wrt c.\nAnswer: 60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 7*m**3 - 3*m**2 - 8*m + 6. Let x(h) = -h**3 + h - 1. Let u(v) = o(v) + 6*x(v). Calculate u(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 2*w**2 - 2*w - 2. Let d be y(-2). List the prime factors of (910\/14)\/((d\/(-6))\/(-1)).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -6*p + 8. Let a be d(-1). Find the second derivative of -129*j**4 - 206*j - 75*j**4 - 14 + a wrt j.\nAnswer: -2448*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 3. Let o be i(3). Calculate the lowest common multiple of (-1)\/(2\/(-31)) - 2\/(-4) and o - -23 - (-1 + 2).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 7, -14 in ascending order.\nAnswer: -14, -4, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/30*-1*(-198)\/(-132)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -436*c**2 - c. Let u(y) = -3*y. Give w(u(i)).\nAnswer: -3924*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((8\/(-56))\/(36\/168)).\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1727 is divided by 39.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17297 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 303968 divided by -16\nAnswer: -18998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 30*o**2 + 4*o + 22. Let u be t(30). Let x(y) = u - 287 - y + 145. Let k(f) = -284*f. Give x(k(h)).\nAnswer: 284*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcjcjrjcrccjcjcr. Give prob of picking 2 c.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmmuppmpu. What is prob of picking 2 u?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ec9 - f85?\nAnswer: -1e4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l**2 + 4*l**2 - 8*l**2 + (0 + 0 + 1)*(3*l + l**2 - 3*l) - 1 + 2*l**2 + 1)*(83*l + 42*l - 7*l) to the form t*l + b*l**3 + o*l**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*g - 291 - 668 = 865. What is the nearest to 0.1 in 0.66, g, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 less than -241?\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 0*c**3 - 2 - 15*c**2 - 1\/24*c**4 + 0*c. Let p(v) = -14*v. Determine p(a(i)).\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(52)*1)*-5 - (sqrt(13) - 2*sqrt(208) - (-2 + sqrt(78)\/sqrt(6) - sqrt(13))))**2.\nAnswer: -48*sqrt(13) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -73 + 30b?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3202 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 + 9*x - 8. Let l(j) = -j**3 - 7*j**2 + 8*j - 11. Let h be l(-8). Let y = 4 + h. Is s(y) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g - 16*g + 8*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21023.999984209 - 21024. What is u rounded to seven dps?\nAnswer: -0.0000158","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*z**2 + z**4 + 78*z**4 + 66*z**2 wrt z.\nAnswer: 1896*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1993 take away -226467878?\nAnswer: 226465885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 4*j - 5. Let h(u) = -2*u + 1 - 6*u**2 - 5*u - 5*u**2 + 12*u**2. Suppose -3*f + 6 = -4*b - 16, 0 = -4*f - 2*b + 22. Let n be h(f). Give c(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 1.004478.\nAnswer: 1.404478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831?\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {q: 11, b: 8, f: 1}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002157644 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 284 and 22.\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 3:46 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/12)\/(1\/(-20))*(1 - (-144)\/(-126))\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2\/15 + 12826*y\/15 + 25772 = 0. What is y?\nAnswer: -30, 6443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 243\/405*5\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1302 + -1302.000000601. Round g to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}