diff --git "a/data/dm_maths/full_data/10746_11255.jsonl" "b/data/dm_maths/full_data/10746_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10746_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from ddidiiikkedkkid?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 3, 1, 2.\nAnswer: 1, 2, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 2*z**2 + 3*z - 1. Suppose 0 = 7*h - 11*h - 12. Determine g(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-56) + (-44)\/7. Let t(m) = m**3 + 8*m**2 + 4*m + 7. Let h be t(n). Suppose v + 1 = -3*o + h, 108 = 2*v + 5*o. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-5))\/(8\/4620). Let t be (-4)\/(-14) - (-48)\/n. Let g = -1181 - -1186. Put 0.4, t, g, -3 in ascending order.\nAnswer: -3, t, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44590910 rounded to the nearest 10000?\nAnswer: 44590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 3103*x - 3104*x + 37, -x = -5*a + 59 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -33*v**2 - 360*v. Let x(p) = 7*p**2 + 75*p. Let r(y) = 5*c(y) + 24*x(y). Let l(u) = 15*u**2 + u. Give r(l(b)).\nAnswer: 675*b**4 + 90*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 10, -0.2, -1.08 in decreasing order.\nAnswer: 10, -0.2, -1, -1.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 930 + -899. Calculate the greatest common divisor of l and 775.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12\/(-27) + (53356\/(-5))\/(207\/(-115))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -11*d - 24. Let k(s) = 57*s + 120. Give 21*b(f) + 4*k(f).\nAnswer: -3*f - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.38597291 to 3 decimal places.\nAnswer: 0.386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -26\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d57 (base 14) in base 6?\nAnswer: -122133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 5070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*b - 6 + 1069 = 153 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/1299 and 446\/(-105) + 525\/735?\nAnswer: 6495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 1, -9.8, -2\/9, -2\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g*n**2*t**3 - 2*g*n**2*t**2 + 2*g*n**2*t + 557*g + 579*n**2*t**3 wrt t?\nAnswer: -12*g*n**2 + 3474*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d*v*x**2 - 2*d*v + d*x - 2*d + 2*v*x**2 + 945*v - 3*x**2 + 41*x wrt x?\nAnswer: 4*d*v*x + d + 4*v*x - 6*x + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 4*c**2 + 8*c + 26. Let v be o(-4). Let t(w) = -w**3 + 2*w**2 - w + 2. Let h be t(2). What is the fourth smallest value in h, -1, v, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 101100000?\nAnswer: 101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.3685899us in hours?\nAnswer: 0.00000000176905275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 755675066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + 21322223?\nAnswer: 21322202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -7*q - 15. Let c(a) = 0*a - q*a**2 + 7*a**2 - 2*a. Let z(j) = 2*j**2 - 2*j. What is -4*c(p) + 5*z(p)?\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 73\/(-52) - (3 - 5). Let m = g - -2\/13. Let z = -0.42 + 0.92. Which is the smallest value? (a) z (b) -5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 61*t - 26*t = 15*t - 440 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.04, 1.9, 3\/4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2502, -9877, -22128, -39261, -61282, -88197, -120012?\n\"Answer: -w**3 - 2432*w**2 - 72*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + w)*(-7 + w - 8 + 10) as a*w**2 + j*w + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116873 and 1022.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -13*j + 11*j. Suppose 3*b + 3*t = j, 3*b - t + 1 = -0*b. Solve -f - 3*f - 2 = -2*p, -2*p + 3*f + b = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/9 - -20*2\/180?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 5:50 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -826, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 29*m + 144. Let n be c(23). Let u = -23 + 30. Solve -4*j = -u*j - n*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20788, 20808, 20842, 20890?\n\"Answer: 7*g**2 - g + 20782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0.2. What is the nearest to v in -4, -1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 2*w + 8, 5*w - 7*w = -f + 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1 + 6 = 0. Suppose -x*g = -3*b + 207, 102 - 41 = b + g. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**4\/8 - o**3\/6 + 5*o**2. Let a be z(-2). Let f(i) = 2*i**2 - 2. Is f(a) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695255.\nAnswer: 5, 11, 12641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 909524 = 41*o - o + 37*o. List the prime factors of o.\nAnswer: 2, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241408.\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**(-2))**(-8\/13))**50)**0 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.01 - 67.99. Let b = x + 68.99999924. What is b rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(3\/(-1))*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -675*k + 5163 + 315 - 78 = 0 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 1 - (-2 - (0 + 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698 is divided by 153?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 236, 238, 242, 248, 256, 266?\n\"Answer: v**2 - v + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -6. Let f be (1\/(-10) + 36180\/(-200))\/(-1). Suppose -r*s = f - 851. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*(sqrt(2736) + -1))**2 - -3*3*sqrt(2736)*-2.\nAnswer: -432*sqrt(19) + 24631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(15\/(-6)) - -4*(-42)\/120. Let p(z) be the second derivative of -z**5\/10 - z**3\/3 - z**2\/2 - 2*z. Give p(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 12:03 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00112336969 rounded to 7 dps?\nAnswer: 0.0011234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17819\/3 + -5941. Which is the second smallest value? (a) 0.4 (b) n (c) 5 (d) 1\/54 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 49, 39, 9, -47, -135?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12940, -100835, -338640, -801313, -1563812?\nAnswer: -2701095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/3)\/f)\/f)**(3\/5))**(-15)*(f*f\/(f**(-3)\/f)*f*f**(-2\/3)*f)\/(f*f\/f**(1\/2))**(2\/55) assuming f is positive.\nAnswer: f**(3676\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -64*r**2 + 4*r - 4*r + 61*r**2. Let h(l) = -82*l**2. Calculate h(y(n)).\nAnswer: -738*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 41, -3, 0.02, -5 in decreasing order.\nAnswer: 41, 2\/9, 0.02, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 425185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1003 equal to -4414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -6. Calculate the greatest common factor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/276 and -39\/21847010?\nAnswer: 131082060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - 1308\/(-60) - 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (37 + (3 - -4) - 102) + 20\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56980144*g**3*q**3 + g**2*q**3 - 32*g*q + 26445*g + 68*q**2 wrt g.\nAnswer: -341880864*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81.66 - 81.62616. Is 0.1 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1636.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 298714?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -46580872500 rounded to the nearest one million?\nAnswer: -46581000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71 - 132. Suppose 4*d = 4*j - 2120, j + 2*d = 232 + 307. Let r = j + -537. Sort w, 5, r in decreasing order.\nAnswer: 5, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - (2 + -1320)) + 5. Suppose 6*y - c = 121. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20)\/3)\/(4\/(-108)). What is the highest common factor of 24 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-1\/3)*n**(1\/2)\/n*(n**(-1\/3))**(-28) assuming n is positive.\nAnswer: n**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/6 + (-13 + -2 - -6).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334974 = -410*x + 341534 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 46.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*r + 108, -2*c - 2*r + 11 = -35. Let n(p) = -c + 24 - 71*p**3 - 4*p**2 + 6*p**2. Does 15 divide n(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, x: 1, s: 2, r: 4}. What is prob of picking 2 d and 1 r?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-63)*14\/(-6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/5 - 49194*u\/5 - 20878296\/5.\nAnswer: -3*(u + 436)*(u + 15962)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1215 + -1214.4. What is the second biggest value in 7\/31, o, -2\/3?\nAnswer: 7\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11121210121 - -221022?\nAnswer: 11122201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -9*u**2 + 631*u - 71. Calculate y(70).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12588, -20027, -40228, -79575, -144452, -241243?\n\"Answer: -1064*c**3 + 3*c**2 - 11527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 611\/(-7943)*((-39)\/9)\/1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -841, -1576, -2109, -2338, -2161, -1476, -181?\n\"Answer: 17*z**3 - z**2 - 851*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -61. Suppose g = 3*y - 2. Solve y = -3*t - 2*z - 6, -3*t = -3*z - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Suppose 57 = -d*o + 3*o. Let y = 1429 + -1393. Calculate the remainder when y is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vaavvvvvcaaov. What is prob of sequence oa?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**2 - 236*y + 236*y + (0 + 3*y**2 + 0)*(0 + 0 + 1) + 169*y - 34*y**2 - 169*y.\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 257495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8577 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277 = 4*n + 29. Suppose 5*d = n + 13. Suppose 3*u + 6 = -4*p - 8, -3*p - d = 0. Is 1 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(17) + -2 + sqrt(17) + (sqrt(119)*2)\/sqrt(7) + -3.\nAnswer: -4 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**2 - 12*w + 4. Let p(u) = -2*u**2 - 8*u + 3. Let b(n) = 5*f(n) - 7*p(n). Let v be (-16)\/9 - (-18)\/(-81). Determine b(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11470 divided by 1147?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*w + 5*p + 41 = 138*w, -4*p - 9 = 6*w - 0*p + 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 + 71. Sort l, 0.3, 4 in descending order.\nAnswer: 4, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 518 = 119. Calculate the remainder when b is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/200751 and 49\/172229.\nAnswer: 31517907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39820389403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -102011201?\nAnswer: 102011202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 - 3*y + 3*y + y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125\/114 + -53\/57. Suppose -4*i - 4*r = 0, i + 18 - 28 = -3*r. Let h = 2.01 - 0.01. Which is the closest to i? (a) 3 (b) h (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47502)\/161616 + -1*6\/(-16).\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.2791 and 3.\nAnswer: -18.8373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 38*k - 4. Let d be a(2). Let u be (-24)\/(-2)*(-296)\/(-222). Calculate the greatest common factor of d and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(171) + -6*(sqrt(171) - (-2*sqrt(171) - sqrt(171)))))\/(sqrt(1089)*-2 - sqrt(54)\/(sqrt(30)\/sqrt(5))).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.88335\nAnswer: 0.17667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1109482, -2218899, -3328316, -4437733?\nAnswer: -5547150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30700, 122862, 276454, 491470, 767904, 1105750, 1505002, 1965654?\n\"Answer: -c**3 + 30721*c**2 + 6*c - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-six fifths of a millimeter?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 0 + 7. Let l be 2\/u - (-8)\/28. Solve -2*b - 6*x - 1 = -3*x, -5*b - 5*x = l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 + 1322*j + 436921.\nAnswer: (j + 661)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*k - n + 28, 5*n = 5*k - 25. What is the common denominator of 83\/52 and k\/(-130)*(-74)\/4*-2?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -532 = -531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5\/4 - 3*c**4\/4 + 49*c**3\/2 + 51*c**2\/2 - 97*c\/4 - 99\/4 = 0. What is c?\nAnswer: -11, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61554.69l?\nAnswer: 61554690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011100010 + -1010011100?\nAnswer: 10001000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -u + 5, -4*q = -9*q + 5*u - 15 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 11*q**2 + 30*q + 195. Let j be z(-10). What is the highest common divisor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3061\/4 + 771. Calculate the common denominator of 32\/43 and j.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-4 - (304\/(-24) + 6))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 0 + 0 = 0. Suppose j + 23*f - 18*f - 15 = 0, -3*j + f + 61 = a. What is the least common multiple of j and (80\/3)\/(-4)*-3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 17*d - 31. Let o be b(-19). Suppose 10269 = o*x + 2*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + 4*(sqrt(70)*-2 + sqrt(70) + sqrt(70)) + sqrt(70))\/sqrt(10).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3522825401.\nAnswer: 55339, 63659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0169389838 to 6 decimal places.\nAnswer: 0.016939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**6\/21 - 8*n**5\/35 + 16*n**4\/7 - 32*n**3\/21 - 16*n**2 + 256*n\/7 - 2925. Solve f(c) = 0.\nAnswer: -8, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 16*v**2 - 3*v - 1. Let n = 5 - 3. Let o(i) = -3*i**2 + n*i**2 + 0*i**2 + i. Let h(b) = -3*o(b) - q(b). Calculate h(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 4*w**2 + 13*w + 22. Let l be k(-6). Suppose l = 5*b - 4, 0 = 2*h + 4*b - 110. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.634457 and -9.5?\nAnswer: 6.0273415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7\/2)*n**(-13))**50 assuming n is positive.\nAnswer: n**(-825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/48 and 163\/13440.\nAnswer: 13440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 1, 3, 24 in decreasing order.\nAnswer: 24, 23, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 divided by 36?\nAnswer: -61\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.613 + -0.087. Let w = 0.042 - 2.142. Let o = 2 + w. What is the nearest to 0.2 in -2, o, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, s: 4, o: 6, j: 3}. What is prob of picking 1 m and 1 s?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4.41941 millennia?\nAnswer: 441.941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-3)*-4 - 1) + 1. Suppose -y - b*y - 3*j + 158 = 0, 5*y = 4*j + 186. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 23015204404?\nAnswer: 23015204402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(-3*sqrt(2)*-5)*1)\/(-5*1*sqrt(448) - (sqrt(448) + (sqrt(448) - (sqrt(448)*1 + sqrt(448))))*-3).\nAnswer: -sqrt(3)\/600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**2 - 3055*m + 1214316 = 0?\nAnswer: -3411, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 2:10 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53013203?\nAnswer: 53013203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258*j = -252*j - 124512. What is j rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1080178, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.291? (a) 0.4 (b) -2\/9 (c) -99\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - b**2 - b - 1. Let m(q) = -2*q**3 - 4*q**2 - 4*q - 4. Let z be (-9)\/6*(-2)\/(-1). Calculate z*m(y) + 12*f(y).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 10:12 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, e: 3, u: 3, j: 1}. Give prob of sequence uj.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 21328*u**3 + 5*u**2 - u - 2. What is the hundreds digit of l(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2551*d**2 + 590*d - 3493. Is i(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**4 + 47192240*s**3 + 111355234234070*s**2 - 668132679595440*s + 1002199656488805 = 0 for s.\nAnswer: -4719227, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k + 5*o = 17*k - 29, 2*k + 9*o = -37 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25734 rounded to two dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -13. Let v(l) = -2*l - 2. Let n be v(m). Solve y + x + x = n, x + 3 = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233045898.6 minus 44?\nAnswer: 233045854.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40097318 is divided by 2219?\nAnswer: 2207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 36*d**2 - 36*d - 30. Let s be a(-35). Suppose 5*q - 2*b = 9 + 207, 4*b = s*q - 222. Calculate the least common multiple of q and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/192656205?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -9, 19, -1, -4, 6, -5.\nAnswer: -27, -9, -5, -4, -1, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 8:42 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-12)*2942 - (-3)\/(-2). Is n\/((-6)\/36*-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -593 divided by 1394\nAnswer: -593\/1394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 2*c**2 - 3*c + 2. What is the remainder when 8 is divided by i(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 2)*(-7*u - u - 23*u - 9*u).\nAnswer: -40*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xem when three letters picked without replacement from {m: 2, e: 4, j: 3, y: 2, x: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -63197 times 0.3?\nAnswer: -18959.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -82*d**2 - 947*d - 1512753?\nAnswer: -164*d - 947","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 2, 3*t + 685*d = 688*d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 309*q + 644*q - 110*q + 47*q - 83*q to the form a + z*q and give z.\nAnswer: 807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 5:08 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by 223?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 910.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -9. Let d(y) = 4*y**3 - 17*y**2 - 8*y - 24. Let l(j) = -3*j**3 + 11*j**2 + 5*j + 16. Let o(q) = w*d(q) + 7*l(q). Determine o(-8).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16c194a6 + -6?\nAnswer: 16c194a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-12) - ((-141)\/(-12) + -11)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 9*s. Let v be y(-1). Let i = v - -4. What is the nearest to i in -4, -3\/4, -3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11956 + -11884. Solve 92*q - a*q - 20 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32557*j - 32563*j + 65130*j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 97090.48 days?\nAnswer: 8388617472000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.653481 tonnes in micrograms?\nAnswer: 1653481000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 16) in base 11?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**2 + 6*c**2 + 5*c + 1 - 2*c**3 - 2*c + 7*c**4 - 10*c**2 to the form u + j*c**2 + r*c**4 + h*c**3 + z*c and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 - 381?\nAnswer: -381.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317920924.\nAnswer: 2, 53, 1499627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -10. Suppose s = 2 + g. Solve -5*q + s*a = 4 + 13, 0 = a - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxjjxjn. Give prob of picking 1 n and 3 j.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.6 - -14.4. Sort 0.1, f, 0.3 in decreasing order.\nAnswer: f, 0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/73003 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zsze when four letters picked without replacement from zzzsejs?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 - 38170784*y**3 + 19085389*y**3 + 19085390*y**3.\nAnswer: -5*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34964 is divided by 152.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w**(1\/3)*w)\/w))\/(w*w\/w**5*w))\/(w**9\/w*w\/(w*(w*w\/(w*w**(-3\/13)*w))\/w)) assuming w is positive.\nAnswer: w**(-238\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 57*b + 222. Determine h(53).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85575845?\nAnswer: 5, 17115169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 446 + 3*r**2 - 6*r**3 + 3*r**3.\nAnswer: -3*r**3 + 2*r**2 - 446","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijtnidinxindiitndnt. Give prob of picking 1 j, 1 i, and 1 d.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*a*d**6 + 2*a*d**2 + 61*a - 2*d**6 - 4*d**4 wrt d?\nAnswer: 1080*a*d**3 - 240*d**3 - 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 601651*d**2 - 52*d - 80. Let g be m(-8). Round g to the nearest one million.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 468*l - 29770. Give d(49).\nAnswer: -6838","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.32 (b) 3 (c) 0.5 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1515616 divided by 4?\nAnswer: 378904","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/1932 and 121\/12558.\nAnswer: 25116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*1*-1)\/sqrt(10).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*x - 993 = 0, 362 = -4*j - 2*x - 636. Calculate the remainder when 79 is divided by 25\/(150\/j)*(-1)\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22183727 + 11319727. What is n rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 5348.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 10:28 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a = -23*a - 90. Let z = 58 + a. What is the second derivative of 6*j**4 + z*j**4 - 6*j**4 + 4*j - 3*j wrt j?\nAnswer: 156*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from vufuuufmm.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4*347\nAnswer: -1388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 117149 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 16*i. Let n(y) = 65*y - 1. What is -9*g(f) + 2*n(f)?\nAnswer: -14*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -11587 - 21*x + 23056 + x**2 - 11525. What is y(23)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 15*y**3 - 2*y**2 - 2*y - 2. Let d(q) = 15*q**3 - 3*q**2 - 3*q - 3. Let p(b) = 12*b + 602. Let i be p(-50). Give i*d(k) - 3*o(k).\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2871)\/(-135) - 36\/(-189)*(-21)\/15\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25308 rounded to two dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52380, 52385, 52392, 52401, 52412?\nAnswer: 52425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h - 53. Let r be j(11). Let x = r + 108. Is x a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -23. Let a be d\/(-20) + (-6)\/(-10). Suppose -4*c = r + 8, r - 5*r = 16. Which is bigger: c or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-44 + 5)*2\/(-6). Let w = t - 0. Calculate the greatest common divisor of 91 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 680327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 4)*(-3 - 2 + 3 - g).\nAnswer: -3*g - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (-1 - -4) - -3 - (-3204 + 3193)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 845797006 to the nearest integer?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36744 and 588.\nAnswer: 1800456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -4\/211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 60*r**2 + 4*r - 42460. Let z(t) = -t**2. Determine j(z(f)).\nAnswer: 60*f**4 - 4*f**2 - 42460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6, -2, -8, -30, -74, -146, -252, -398?\n\"Answer: -v**3 + v**2 + 8*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 7*m - 9*m = -15, 0 = 2*q - 2*m + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 78981682 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -320 - -327. Let i(q) = 42. Let k(o) = -o + 41. Let d(s) = 6*i(s) - 7*k(s). Calculate the lowest common multiple of 10 and d(w).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 74, 79, 82, 83, 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 16*l - 14. Let a be s(17). Solve -a*r = 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9212 is divided by 616?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*-1 + 1)*-1 + (-5*(-3 + sqrt(19) + sqrt(19)) - (3 + sqrt(19)*3)**2).\nAnswer: -166 - 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(1\/(-1)))\/(2\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -17*l. Suppose 7*q - 4*q = 222. Let m(z) = -z**2 - q*z + 74*z. Calculate m(h(p)).\nAnswer: -289*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -9. Suppose 3*q - 3*c - p = -0*q, c = -q + 2. Is (-3)\/((-6)\/32) - q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6\/5)\/b)\/b*b**(2\/99) assuming b is positive.\nAnswer: b**(-1574\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 468, 2250, 5302, 9624, 15216?\n\"Answer: 635*i**2 - 123*i - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 16*z**2. Let o(l) = -672171*l. What is p(o(v))?\nAnswer: 7229021651856*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -48*j - 126. Let q(k) = -22*k - 63. Calculate 13*q(w) - 6*v(w).\nAnswer: 2*w - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, y: 3, m: 3, s: 7}. What is prob of sequence ss?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1 + (-1 + 2 + 1)*(3 - 2 + 0) + 26 - 74 - 132)*(-5*n - 4 + 4) + 3*n + n - 3*n.\nAnswer: 881*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -36*n. Suppose y - 5*w - 16 = 14, 2*y + w = 82. Let r(m) = -y*m**2 + 25*m**2 + 11*m**2. Determine r(v(z)).\nAnswer: -5184*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.412785478 to five dps.\nAnswer: -1.41279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 14*m**2 + 98*m - 16. Determine q(-19).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.12 + 3.32. Let m be 14\/(-210)*12 + 26\/45. Which is the closest to 1? (a) d (b) -3\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 1 = 4, 4*f = -i + 112. Suppose 0*x = -x - 2*b + 14, 63 = 5*x + 3*b. What is the highest common factor of x and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjuoosjooozsoo. What is prob of picking 1 j and 1 o?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 13*f - 4*f - 2*f - 6*f = -15, 3*f + 95 = 41 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 222556 and 56?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 divided by -60301?\nAnswer: -121\/60301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -0.5, 1, -3860850\/17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + (2*(sqrt(405) - sqrt(405)*-1) - sqrt(405)) - (sqrt(20) - sqrt(980)*-2)\/(sqrt(16)\/(-2*sqrt(4)))).\nAnswer: -3 + 57*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wlw when three letters picked without replacement from lwwwllwwlwwlwllwwll.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -599 - -597. Which is the third smallest value? (a) n (b) 1\/6 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16065 and 189?\nAnswer: 16065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 19)*(0 - 2*t + 0) - 128 - 121*t + 128 to the form w + g*t and give g.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 1\/(-2)*4. Suppose 0*h - 2*h + 88 = g. Suppose -3*i = 24*y - 20*y - 533, -i + 134 = y. What is the remainder when y is divided by h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010079 to the power of 1\/2, to the nearest integer?\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 286890, -1\/16, 2\/5, 6 in decreasing order.\nAnswer: 286890, 6, 1, 2\/5, -1\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**5\/5 - 10947*p**4\/5 - 17541*p**3 - 46065*p**2 - 241338*p\/5 - 87768\/5 = 0.\nAnswer: -4, -2, -1, 3657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 35 + 24)*(86*o**2 - 2410 + 2410).\nAnswer: 4386*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(121)\/(sqrt(11)*4) - sqrt(11)).\nAnswer: -4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27*1\/(-5))\/(-116*24\/(-37120))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 641 + -183. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1.3, 1\/2, 1?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*k - 28*k - 2*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.58 and 2564.8?\nAnswer: 2565.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -42 + 2. Let h(q) = -2*q**2 + 2*q - 2. Let n be h(2). Let y = n + s. What is the remainder when 5 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*3*(-3)\/(-18). Suppose -3*i + 0*i + 15 = x. Let p(b) = 22*b**3 + b. Let f be p(1). Solve -f + 8 = i*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3710 and 98452535.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -78*q + 78*q - 9*q**3 - 3*q**3 - 4*q**3 + 4*q**3 + (-4 - 3 + 5)*(4*q**3 - 3*q**3 - 4*q**3).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20464 plus -11?\nAnswer: 20453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * -0.04.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/((-759)\/12))\/(-1)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -28. Let s be w\/(-7) - 30\/105. Solve 2*o - 3*m + 4 = s, 0*o + m = -3*o - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/1280 and 79\/1049280?\nAnswer: 4197120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 + 9*x + 2. Let h be q(-4). Let t be 8\/(-16)*h*8. Solve -f = -3*n + 4, 5*n + t + 8 = -4*f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k\/k**(1\/4)*k*k)\/k)*k)**14)**(-7) assuming k is positive.\nAnswer: k**(147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 4*h**2 - 10*h + 11. Let m(i) = 2*i**3 + 7*i**2 - 19*i + 23. Let d(f) = 2*m(f) - 5*p(f). Let b be d(-8). Solve 5*c + 8 = b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 444 and 32.\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5))**17*i\/(i*i**(1\/14))*i*(i**(-7\/2)*i)\/i assuming i is positive.\nAnswer: i**(-328\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(((-117)\/10)\/((-9)\/15))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 24.1. Let j = 2.1 + x. What is the third biggest value in j, 5, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/((-2)\/2)*(-21)\/7. Suppose -2*d + k = -d. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 260 and 6568?\nAnswer: 426920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1.6411, 15, -4\/5.\nAnswer: -4\/5, 1, 1.6411, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**6\/120 + s**5\/12 - s**4\/12 - 5*s**3\/6 - 46*s**2. What is i(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 1 - -1 - 1. Suppose 5 = 5*i + 3*w, -i + 2*i - w - 9 = t. Suppose -2*a + 2 = i. Which is smaller: a or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/5 < 5\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 + 7*k**3 - 11*k**2 + 5*k.\nAnswer: -k*(k - 5)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3691817 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120116.\nAnswer: 2, 30029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 34e (base 16) to base 10\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 25677*j = -25674*j + 44, -17*j = -51 for o.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/(-18))\/(130\/(-1170))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 722220 a multiple of 689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4))**(-5\/11) assuming n is positive.\nAnswer: n**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 6:01 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -8*f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-21))\/2 - 4081\/(-49). Let y = -55 + b. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 540592928 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -24\/245 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8658 and 193830?\nAnswer: 21515130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*j - 6 - 24, -4*p - 8 = 0. Let i(t) = 47*t + 474. Determine i(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.1 = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7639634389.\nAnswer: 31, 246439819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 4*x + 8, -5*p = 5*x - 30 + 5. Solve -s - 4*u + 12 = 0, -s = 4*s + p*u - 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1181120364?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 865043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107684 is divided by 353?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzddhdd. Give prob of picking 2 z and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15976432 rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/3*6\/(-4). Let f(r) = -1. Let l(p) = -p + 1. Let a(t) = m*f(t) + 2*l(t). Differentiate a(d) with respect to d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.94 + -9. Let t = 0.168 - 187.168. Let k = t - -186.8. Which is the second biggest value? (a) n (b) -5 (c) -1 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-4 + 5 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 616407976?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 100?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 68309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -111 - 2?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -371*a**3 - 3*a**2 + 102*a - 12. What is the hundreds digit of c(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 112651503*g + 112651506.\nAnswer: -3*(g - 1)*(g + 37550502)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 0.7, 0.3, -9?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 556 - 347. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18592 and 114604?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2, 5, -5, 6.0458 in descending order.\nAnswer: 6.0458, 5, 2, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 2*d**2 - 2*d - 2. Let n be h(-2). Let c(s) = s**2 - s. Let f be c(3). Let x be (-26)\/(-6) + (-1)\/(-9)*f. Solve -n*u + x = 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 2*j**2 + 0*j**2 - 12.\nAnswer: 2*j**2 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 0, -0.02, -2\/7, 0.2 in ascending order.\nAnswer: -2\/7, -2\/11, -0.02, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80 - -88. Let i(h) = h**3 - 8*h**2 - h + 10. Let k be i(p). Solve 0 - 1\/4*y**4 + 0*y - 5\/4*y**3 + 1\/4*y**5 - 3\/4*y**k = 0 for y.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45575776\/5 or 9115155?\nAnswer: 45575776\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 398 - (2 + -7 + 0)\/(-1). Suppose -s = -o - 4*f, -5*f - 1223 = -3*o - 6*f. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -815b266?\nAnswer: -815b266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f**2 - 4*f - 13. Let z(l) = -l - 2. Let q be z(1). List the prime factors of j(q).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*t**(-1))\/(t*t**4))**(-5) assuming t is positive.\nAnswer: t**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**2 - 4*r**2 - 4*r**2 + 15*r**2 + 2*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 38*c + 175. Let n(s) = s**3 - 2*s**2 + 3*s - 2. What is the remainder when n(5) is divided by x(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/11? (a) -2 (b) -1\/7 (c) -3 (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 e, and 1 d when three letters picked without replacement from zzzzzzeededr.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 49818 and 0.221?\nAnswer: 11009.778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from npvv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 12386?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**2 + 22048*p - 22052 = 0. What is p?\nAnswer: -5513, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 - -48. Suppose c = -0*c + w*x + 127, -120 = -c - 2*x. Is c a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 - 1)*(r - 9*r - 17 + 15) in the form t + o*r and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m. Let w(u) be the first derivative of -5*u**2\/2 + 31. Give w(x(k)).\nAnswer: -35*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4 = 5*t. Let s(z) = -4 + 21*z - 4 + 5 + z**2 - 20*z. Determine s(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126446 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12691 plus -109?\nAnswer: 12582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14129081?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45279627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -100*22\/4664*159\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1538*k*s**4 + 6*k*s**2 + 6*k*s + 2*k - 14527*s**5 - s**2 - 26694*s + 8 wrt s?\nAnswer: -36912*k*s - 871620*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**3\/4 + 93*z**2\/2 - 381*z\/4 + 48 = 0. Calculate z.\nAnswer: -64, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 0*t**5 + 0*t**4 - t + 0 - 2\/15*t**6 + 0*t**2 + 2\/3*t**3. Find the second derivative of o(q) wrt q.\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204540 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 81?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 9*a**2\/2 + 1. Let d be (-4)\/(-2) + -6 - 0. Let p(b) = -5*b. Let i be 6\/5 + (-656)\/80. What is d*l(g) + i*p(g)?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + 6 + -15 + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-12))\/(34\/50592*-60)?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.4, -97286.\nAnswer: -97286, -1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 113600?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 10:35 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7226 or -744162\/103?\nAnswer: -7226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/9 - 70*x\/9 + 76\/3.\nAnswer: -2*(x - 3)*(x + 38)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, o: 2, y: 9, u: 3, v: 1, c: 2}. What is prob of sequence buu?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 54*a**2 - 51*a - 110. Let z be y(55). What is the highest common divisor of z and 3905?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*6\/132 + 40\/22. Let g(r) = 48*r - 6. What are the prime factors of g(x)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8080 + 8358. Solve f - 274 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 11*q - 1. Let s be (-1)\/(3\/(-6)*2). What is the remainder when 37 is divided by i(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 21*q + 37. What is r(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by -9*335\/(-15)*((-336)\/(-36) + -9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(28))*4 + -1.\nAnswer: -9 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -38603, -154412, -347425, -617636, -965039, -1389628, -1891397, -2470340?\n\"Answer: m**3 - 38608*m**2 + 8*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbz when three letters picked without replacement from cbwbcbkzzczmzck?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18\/227 - 8107\/2043. What is the common denominator of i and 129\/(-135) + (-4)\/(-50)*5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3266988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 191.1 - 192.1. Let v = -221\/2 + 108. What is the biggest value in z, 1\/3, v, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 10007 = s + 4*a, -5*s + 5*a = -9980. Suppose -4*w = -8, -2*r - w - s = -5*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -15, 2\/11, -3\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.2 (b) -25 (c) -0.014 (d) 1\/4 (e) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - g + 3*g + g**2)*(-497*g**2 + 4*g**2 - 333*g**2).\nAnswer: -2478*g**4 - 1652*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34581494 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g + 24 = 4*h, -5*h = 4*g - 48. Suppose -g - 12 = -3*f. Suppose -2*c = -a - 9 - f, 0 = -4*a + 12. Solve 5*k + c = -5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/24708 and 45\/440626?\nAnswer: 2643756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (15\/27)\/(-10 + 333\/33) and -169\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(567)*1 + (sqrt(567) + 2)*-6)**2 + (sqrt(567)*2 + 0)**2*-6.\nAnswer: 856 + 1530*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-3171)\/221517*(-4)\/7*(-3)\/(-6).\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*m + 15486 = -m. Suppose 84*o + m = 87*o. What is the remainder when o is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 111001526?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*s = -157*s + 17504. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 191*y**4\/24 + 26*y**3 - 151*y**2. What is the first derivative of t(i) wrt i?\nAnswer: 191","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2097, -3735, -6419, -10149?\n\"Answer: -523*a**2 - 69*a - 1505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*a = 0. Suppose -4*d - 8 = a, 5*d = -h - 2*h + 98. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eec when three letters picked without replacement from ceeeecceeecccccecec.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -203994423 divided by 1.\nAnswer: -203994423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -11*j**2 + 3*j + 39. Let r(c) = 22*c**2 - 7*c - 79. Let b(a) = -3*r(a) - 7*z(a). Differentiate b(s) with respect to s.\nAnswer: 22*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**5 - 4785*b**4 - 9579*b**3 - 4791*b**2 = 0. Calculate b.\nAnswer: -1, 0, 1597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3108422 and 2248.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-3\/22)\/m*m**5*m\/((m\/(m*((m**14\/m)\/m)\/m)*m)\/m)*m*m\/(m**(-5\/4)\/m) assuming m is positive.\nAnswer: m**(929\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -1 + 12\/5. Let y = -403 + 403. Let f = 13\/5 - 34\/15. Which is the closest to f? (a) q (b) -0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575 - 810 = -38*u + 183 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 7*c**2 - c + 9. Let o be i(-6). Let v be (-4)\/(-10)*(o + -16). Solve 11 = -5*b - v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54*(-111)\/27972)\/(9\/(-342)).\nAnswer: -57\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 450\/35 - (-39)\/(-3). Let s = -0.36 + -0.04. Sort g, -5, s, 4.\nAnswer: -5, s, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**5\/5 + 13*w**4\/3 + 20*w**3\/3 - 48*w**2 + w - 242. Factor x(u).\nAnswer: 4*(u - 1)*(u + 2)*(u + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 764 - -408?\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.54 in 1\/4, -20, -3\/10, 1\/3, 3\/4?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f**2 + 35*f + 98. Give n(14).\nAnswer: 1764","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, g: 11}. Give prob of sequence vgg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19640890679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 290 - -b29?\nAnswer: 11b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4944 (base 12) in base 2?\nAnswer: -10000001000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56061751?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/150 and 26\/5*57\/(-1710)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211 (base 11) in base 13?\nAnswer: 94c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 72? (a) 11 (b) 40 (c) 0.1 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 7:33 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(352)\/(sqrt(432)\/sqrt(6)) + -5 - (((sqrt(396)\/sqrt(300))\/sqrt(3) + -2)**2 + 1).\nAnswer: -261\/25 + 22*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 11:53 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/7)\/2*21\/(-6). Put -23, -3, l in descending order.\nAnswer: l, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11202?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v**2 - 2*v + 23. Calculate the remainder when z(-7) is divided by 84.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unnhh. Give prob of picking 1 n and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9*r. Let u(a) = -44*a. What is -22*j(v) - 4*u(v)?\nAnswer: -22*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 10, 0 = 4*h + 4*g - 9 + 1. What is the third derivative of 4*j**3 - 2*j**2 - 3*j**3 + h*j**3 - 3*j**3 wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -151 - -149.87. Let f = 1.428 + -0.798. Let k = n + f. Which is the third smallest value? (a) 0.1 (b) 7\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1262 + -1261.999998701. Round s to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -1883*t**2. Let c(b) be the first derivative of -2*b**3 + 4207. What is a(c(s))?\nAnswer: -67788*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19188 is divided by 101?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 765*l - 769*l = 4*k + 9, -5*k = -2*l - 27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3172 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 139246 - 20283 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + 0*w + w + (-2*w + 1 - 1)*(3 - 6 + 1) + 4*w - w - w + w + 2*w - 5*w + (2*w + 0*w - w)*(-1 + 3 - 4) - 2*w + 0 + 0 to o*w + x and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4*s - 22, 5*s + 0*s = -20. Let d be 2\/2 - (-18)\/i. What is the common denominator of 37\/2 and (-2972)\/360 - 1\/d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(-4*v + 6*v - 8*v)*(-12 + 12 + 7*v**2).\nAnswer: 84*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 4*w + 8, 0 = 3*w - 2*w + f - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2607 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*z**5 + 12*z**5 + 2*z**3 - 21*z**2 + 11*z**5 wrt z.\nAnswer: -660*z**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwyzuyyzzzybnub. Give prob of picking 2 b and 1 w.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.120571247 to 5 dps.\nAnswer: 0.12057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmvjgcm. Give prob of picking 1 v and 2 m.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/28))**43 assuming n is positive.\nAnswer: n**(43\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k**(6\/11)\/k))*k**(-10)*k*k*(k*k*k\/(k*k**(-22)\/k*k*k*k)*k)\/k*k*k**(3\/5)*k assuming k is positive.\nAnswer: k**(888\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 25*g + 17 = -26*g, -2*d + 21*d - 576 = 20*g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4 = 0, -4*u - 3*w = -0*u + 20. Is 10 + -1 + (-1 - u) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4201990 and 6302985?\nAnswer: 12605970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 + q**2 + 2*q + 5. Let z be m(0). Solve 1 + z = -3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (0 + 19 + -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 53b (base 13) to base 14\nAnswer: 47d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 3*p = 5*k - 93, -3*k - p + 59 = 0. Let q be 18\/(-63) - (-48)\/k. Is (-3 - -8) + 42\/q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 225.9 + -190.2. What is s rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11156631247 - 5.\nAnswer: -5.11156631247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673065?\nAnswer: 3, 5, 14957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 n when four letters picked without replacement from cccttctcccttnccccccc.\nAnswer: 364\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -353*o**2. Let m(g) = -41*g**2 - 10*g - 5. Let r(t) = -16*t**2 - 4*t - 2. Let w(l) = 2*m(l) - 5*r(l). Give w(b(x)).\nAnswer: -249218*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/11 or -70.29?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4205422.\nAnswer: 2, 13, 19, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 468190?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 128 - 91. Let k = v - 23. 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 c = 196 + -128. Calculate the remainder when c is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvb when three letters picked without replacement from {b: 4, v: 10, c: 6}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-2))\/((-1)\/(-2)). Let u(x) = 28 + 0*x - x - 23 + 2*x. Let d be u(f). What is the closest to -1 in 0, -3\/8, d?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12) + 0 + (sqrt(3)*-3 + sqrt(3))**2*-3.\nAnswer: -36 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*c + 44*c + 39*c - 114*c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 13 = -4*s, 0 = s - 3*s + c + 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d**(4\/5)*d)\/d*d)*(d*d*d\/(d*d**(-1\/5)*d*d*d))\/d*d*d)\/((d\/d**1)\/d*d)**(-7\/3) assuming d is positive.\nAnswer: d**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 4 - 8. Suppose -o = -3*b + 2*i + 7, 2*i = -3*b + 14. What is the remainder when 14 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 + 5*y**2 + 0*y**2)*(-138 + 22 - 267).\nAnswer: -3064*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (212\/(-6))\/((-2)\/3). Let h = 106 - m. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 107 + 10 + 4 = 24*q + 237, 3*k = -q - 11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28416152 or 198913060\/7?\nAnswer: 198913060\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -6*p**4\/5 + p**3\/15 - 2186*p. Solve o(n) = 0.\nAnswer: 0, 1\/36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-7 - (6 - -2 - 5)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -55 and 20.\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 42, 121, 254, 441, 682, 977?\n\"Answer: 27*t**2 - 2*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*j**5\/7 - 2290*j**4 - 122118*j**3\/7 + 248278*j**2\/7 + 113452*j\/7 + 11808\/7 = 0.\nAnswer: -9, -1\/5, 2, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.6 + 4. Let p = 0.059 - -0.441. Sort w, p, -4\/7 in descending order.\nAnswer: p, w, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 1:28 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.240763 less than -1912?\nAnswer: -1903.759237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -38*u + 9*u + 28*u. Let j(b) = -19*b**2. Give c(j(n)).\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5944*n - 784176 = 1744*n for n.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**4*l**2 + 178*b**4 + b**2 - 139*l**2 + 2 wrt b?\nAnswer: -8*b**3*l**2 + 712*b**3 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**4\/12 - 2*g**2 - 1027*g. Let i(y) = -3035*y**2. Determine i(x(z)).\nAnswer: -12140*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2 + 9 + 20*j - 27 - 6 wrt j?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 4*r**2 + 5*r + 2. Let p be m(5). Let z be (2\/2)\/(1\/3). Solve p = -4*v + z*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**3 - 12*u**3 + 7*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.12 (b) 36 (c) 11 (d) -1 (e) -3 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -346, -701, -1080, -1489, -1934?\n\"Answer: -t**3 - 6*t**2 - 330*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**2 - 3*v - 2. Let t(c) = c - 5. Let g be t(2). Let m(d) = -11*d**2 + 8*d + 5. Determine g*m(p) - 8*k(p).\nAnswer: p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -5*p**7\/42 - p**5\/10 - 12*p**2. What is the third derivative of k(x) wrt x?\nAnswer: -600*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26\/205 + -13019\/820. Let l = y - -65\/4. Let w = 1 + -4. Which is the closest to -0.1? (a) l (b) 3\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6330, -12610, -18894, -25182, -31474, -37770?\n\"Answer: -2*z**2 - 6274*z - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9821 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -10879 >= -17090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003794112 rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -1195, 2, -5531, 10 in descending order.\nAnswer: 10, 5, 2, 1, -1195, -5531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l + 207 = 4*l - 15*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36*d + 28*d - 48*d)*(29*d**2 - 4*d**2 + 2*d**2) in the form o*d**2 + z*d + h*d**3 + v and give h.\nAnswer: -1512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21\/4 - -5. Let m = -0.3 - -5.5. Let o = m - 0.2. Put o, h, 0.5 in ascending order.\nAnswer: h, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5149 and 61?\nAnswer: -31.4089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p + 135. Let b(t) = t**2 + 2*t - 6. Let f(s) = -5*s**2 - 11*s + 33. Let h(u) = -22*b(u) - 4*f(u). Calculate h(i(m)).\nAnswer: -72*m**2 + 3240*m - 36450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122454 divided by 122454.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -14838 >= -14840?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1472 (base 9) to base 5.\nAnswer: 13433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -10 - (-7 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 68 + -9?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -12. Suppose -x*i + 13 = -2*f - 11, -2*i - 5*f + 35 = 0. Let h(b) = b**2 + 5*b + 5. Calculate the least common multiple of h(-5) and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -26 + -6?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160559 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/1*14\/(-14). Let y(l) = -3*l**3 - 3*l**2 + 3*l - 1. What is the tens digit of y(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0081 * -0.0564093\nAnswer: 0.00045691533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 3*j + 5 - 8, 3*j = 5*r + 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7976.287 kilograms in tonnes?\nAnswer: 7.976287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 267 + -263. Which is the nearest to i? (a) -4 (b) -6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/187 and 29\/68.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-4)*2755\/551.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -35 + 34 - 9 - (2 + 6 + 2)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 5*u**6\/3 - u**2 - 5. Find the second derivative of c(a) wrt a.\nAnswer: 200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 90.39065 years?\nAnswer: 0.9039065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.3 + -5.1. Let f = -2.79999964 - o. What is f rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -24. Suppose 0 = -b*q + 49 + 68. Let h = q + -34. Solve -h*s - 2*t + 2 = -3*t, -8 = -4*s + 4*t for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.261316 and 1.27.\nAnswer: 6.68187132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(-2*a**2 + 3*a**2 - 2*a**2)*(-3 + 3 - 2 + 0 - 3 - 1 + (-2 + 3 + 0)*(-2 + 4 - 3)).\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (13 + 9 - (13 + -11))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21805105 to the nearest integer?\nAnswer: 4670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 352955252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -20. Suppose -2*t - 4 = -4*t. Let q be 112\/6 - t\/y. What is the highest common factor of 76 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-2 - -1)*4. Let z(k) = -k**2 + 4*k - 3. Let f be z(3). Find the first derivative of 2 - 7 + f*s**4 - s**o + 3 wrt s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + -45530602?\nAnswer: -45530562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - 26. Solve 3*m = -n + 14, 5*m = -3*n - 4 + v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -2*l**2 + l + 1374. Let b(x) = -5*x + 1. Let f(v) = -6*v + 1. Let m(o) = -6*b(o) + 4*f(o). Give -5*m(q) - 7*y(q).\nAnswer: -2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462924 is divided by 1105?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 19*f**2 - 3)*(18*f - 680*f**3 - 18*f - 610*f**3).\nAnswer: -24510*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 22968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -464907736978.3999984 - -464907175229. Let j = d + 561749. Let h = 0.4 + j. Round h to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 933.\nAnswer: -4665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58.873 + 0.127. Let t = -59 + l. Let v = -0.2 - -0.3. Which is the nearest to v? (a) -5 (b) t (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*k - 54, -33 + 83 = -z - 4*k. Let x = 425 + z. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n - 8. Let w be j(-7). Let r be w\/(-21) - 60\/(-14). Let m(g) = -3*g. What is m(r)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1352960 is divided by 858.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p = 190 - 46 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 98254416 a multiple of 632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*3)\/sqrt(9) + (sqrt(228)*1)\/sqrt(12) + sqrt(171) + (sqrt(171) + 2)**2 + sqrt(171) + 2 + 5 + -3.\nAnswer: 22*sqrt(19) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3001, -13026 in ascending order.\nAnswer: -13026, 4, 3001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1826*a + 32851. Calculate p(18).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -10*t**3 - 9*t**2 + 2*t - 1. Let h(y) = 11*y**3 + 8*y**2 - 3*y + 1. Determine 3*h(o) + 4*v(o).\nAnswer: -7*o**3 - 12*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1646 + -976. What is the highest common factor of 30 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -163? (a) 0.4 (b) -1 (c) 7 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -443, -576, -707, -836, -963?\nAnswer: -1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20\/117 in -2\/3, 22, 5\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -13*i + 34. Suppose 17*w - 1 - 16 = 0. Calculate the lowest common multiple of m(w) and 94\/8 + 4\/16.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20812511626 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 42 - -33?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/3))**(-7)\/(o*o*o*o\/o**(2\/3)*o*o)**(-39)*(o**(1\/4)*o\/o**(-1\/11))\/(o**1*o**(-1)) assuming o is positive.\nAnswer: o**(26401\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -523 - -189. Let n = u - -339. Solve 3*a - 4*x = 10, -a + 2*x - 6 = -n*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*s**3*w**2 - 7*s**3 - 34*s - 178*w**2 - 6 with respect to w.\nAnswer: -6*s**3*w - 356*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 43422 + 958. Suppose -5*t + 14801 = -j, -3*t + n = 5*j - j. What is t rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.066 - 0.066. Put -0.2, -4, 3\/4, i in descending order.\nAnswer: i, 3\/4, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -781500 rounded to the nearest ten thousand?\nAnswer: -780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 3*v + 0*v)*(3*v - 3*v - v) - 2 + 549*v + 1 - v**2 - 555*v.\nAnswer: -4*v**2 - 6*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 2*z**4\/3 + 33*z**2\/2 + 11*z. Let l(p) be the first derivative of r(p). Let f(y) = -y. What is f(l(k))?\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**5\/5 - 11*a**4\/8 - 53*a**3\/2 - 56*a**2 + 2. Let r be g(-6). What is r rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 2. Let k be i(2). Find t, given that -8*t**k - 4*t**4 - 4*t**5 - t**3 - 9*t**3 - 3*t**3 - t - 6*t**2 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 + 6 - (1 - 2). Solve -2*d - d + 5*d = l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/8100 and -91\/345?\nAnswer: 186300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(7\/5)*l\/l**(1\/14))\/((l*l**(-9))\/(l*(l*l\/(l*l**12)*l*l)\/l)) assuming l is positive.\nAnswer: l**(93\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 5*v + 5. Let z be o(-6). What is the second derivative of z*u + 3*u**4 - 4*u**5 + 4*u**4 - 7*u**4 wrt u?\nAnswer: -80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1689 is divided by 551?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 423, 1616, 3573, 6300, 9803?\nAnswer: 14088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -0.98, 0.1 in decreasing order.\nAnswer: 0.1, -0.98, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 16*d - 12*d)*(-14 - 5 + 8).\nAnswer: 341*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**(1\/9)\/((j*j*j**4)\/(j**(1\/3)*j))*((j*j**(-1\/2)*j*j)\/(j*j**(-7\/4)))**(-3\/19) assuming j is positive.\nAnswer: j**(-3467\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 1086 = 4777. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2493, -2, 5 in increasing order.\nAnswer: -2, 3, 5, 2493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 501743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r - 12. Let o be m(9). Let p(a) = 33*a + 95. Let l be p(-3). Put o, l, 5, 1 in decreasing order.\nAnswer: o, 5, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-480018)\/(-6) - (1 + 2\/1). Round o to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 29979602.\nAnswer: 29979604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31051804 + 15?\nAnswer: -31051778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -283, -937, -2207, -4297, -7411, -11753?\nAnswer: -17527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110110110 + 1?\nAnswer: -111110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(76)*-3 - sqrt(76)) + 2.\nAnswer: -40*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6438*a - 703. Let m(n) = 55*n + 6. Let g(l) = 703*m(l) + 6*t(l). Let y(b) = 3*b. What is y(g(j))?\nAnswer: 111*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12021 is divided by 34?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 10*t**2 + 3*t - 30. Let q = 2921 - 2911. Calculate c(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -6. Let g = u + -0.9. Let z(j) = -3*j**2 - 34*j - 100. Let q be z(-6). Which is the closest to 0.2? (a) q (b) g (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7\/264 - 29957\/264. Which is smaller: q or -115?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/11 (b) -2 (c) -16\/5 (d) 99 (e) -0.4 (f) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 39620 divided by -1\nAnswer: -39620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*q - 65*q - 54*q + 186*q + 64 - 41*q as c*q + s and give c.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 36 = -2*p. Let v be (-11)\/p - 4\/(-8). Suppose 5*i + 25 = 0, h - 7*i + 2*i - 20 = 0. Put -1, v, h in descending order.\nAnswer: v, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 267209538 by -30682.\nAnswer: -8709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.54 (b) -1\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1800 and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1935 + -1891. Solve -61*n = -x*n - 34 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/2392 and -35\/32.\nAnswer: 9568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 5*h**7\/14 + h**6\/5 - 3*h**5\/4 - h**4\/2 - h - 5. Let x(o) be the first derivative of a(o). Determine v so that x(v) = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -228499326 by -2046.\nAnswer: 111681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - (-4 - -16 - -3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/47)*p*p)\/(p*p**(-20)) assuming p is positive.\nAnswer: p**(1032\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**2 + 6*n**2 + 0*n**2 + (n - 2*n - n)*(0 + n + 0) + n**2 + 1 - 1.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -229 + 229.0000371. Round v to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*k - 3*y - 57, 0 = 4*k + 4*y - 64. Suppose -9*s = -10*s + k. Is -1*(-2 + s\/6)*-5414 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 36*s - 2555. Let t be m(71). Which is the second smallest value? (a) 2 (b) -2 (c) t (d) -1.075\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from uukkkkkukkkk.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 42 (b) 120 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**4\/72 - 439*v**3\/9 + 192721*v**2\/3 + v + 2188. Factor q(c).\nAnswer: (c - 878)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 271357 divided by -337.\nAnswer: -271357\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 17 = 2. Let u = 13 + y. Let r(c) be the first derivative of -c**4\/4 - 5*c**3\/3 + 5*c**2\/2 + 4*c - 1. Calculate r(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*z + 28*z - 27*z to d*z + m and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 132 - -26. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 6*u. Let k = -6 + 13. What are the prime factors of h(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1806 by 6.\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5 = r, -2*r + 11 = 3*g + 3. Let u(f) = -6*f - 1. Let m = 27 + -17. Let y(z) = -4*z - m*z + 13*z. Give r*u(q) - 4*y(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6130974, 12261966, 18392958?\n\"Answer: 6130992*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106280414 and 10766.\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -288, -575, -862, -1149?\nAnswer: -1436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-1) - ((-27)\/(-36))\/(42\/1064)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, p: 12}. Give prob of picking 2 c and 1 p.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -106 in -0.1, -0.5, 2, 1\/12?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/11456 and -17\/895.\nAnswer: 57280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 96*l**2 + 191*l + 306. Calculate the lowest common multiple of q(-94) and 39\/(-1 + 6\/4).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 1217213.\nAnswer: 17040982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-112)\/24*(-12)\/14. Let h be (s + 116)\/(107\/(-110) + 1). Let q be (-3 + 4 - -17)*h\/12. What is q rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 9160 (b) 2\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39.23 + 39. Let f = j - -0.2279. What is f rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**18\/(g*(g\/g**5)\/g))**(1\/7) assuming g is positive.\nAnswer: g**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 650515.4 hours to microseconds.\nAnswer: 2341855440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1071, -1055, -1025, -975, -899?\n\"Answer: g**3 + g**2 + 6*g - 1079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times 1.1?\nAnswer: 0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and (-7632)\/(-40) + -6 - (-3)\/15.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 897\/92 - (1 - 1\/4). Let k(l) = 25*l - 16. What is the tens digit of k(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*12 - 6\/2. Suppose 0 = -3*v + 4*k + 34, -v - 42*k + 13 = -45*k. Solve -4*c + u*c = v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 592607.41542291.\nAnswer: 592607.81542291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.76 - -0.24. Let w(m) = m - 16. Let y be w(16). Sort y, z, -1, 1.\nAnswer: -1, y, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -4, -1.\nAnswer: -4, -1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0 = 40. What is the remainder when 28 is divided by u*(6\/4 + -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**7\/5040 + q**6\/288 + q**5\/60 - 13*q**4\/12 + 3*q**2. Let o(z) be the second derivative of b(z). Let o(l) = 0. Calculate l.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-720)\/(-84)*(-154)\/(-33). Calculate the greatest common factor of 85 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5932\/7 + 848. Which is the closest to 0.08? (a) 1\/3 (b) f (c) 2\/19 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-1)*w))**(1\/10)*w\/((w\/(w*w\/(w*(w*w**(-3\/2)*w*w*w*w)\/w)))\/w)*w*w\/(w*w**(-3\/2)*w) assuming w is positive.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -782813, -1565813, -2349001, -3132377, -3915941, -4699693?\nAnswer: -5483633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -49. Let r = h - -31. What is the smallest common multiple of r and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 589, 520, 451?\n\"Answer: -69*h + 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 314977430?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 - (-1 - 3) - 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Let k(d) = -3*d**3 + 3*d**2 - 29199*d + 4 - 1 - 1 + 58391*d - 29196*d. Determine k(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -930.9999727 + 931. What is v rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 + 4*g + 7*g - 53 + 53 + (1 - 1 - 2*g)*(-2 + 3 - 2) + 4*g - 6*g + 3*g as j + p*g and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 + 933*q**3 - 18810*q**2.\nAnswer: 3*q**2*(q - 19)*(q + 330)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 8*u + 6. Let c be x(9). Let g(p) = -p**3 + p**2 + p + 1. Let b(l) = -l**3 + 3*l**2 + 6*l + 5. Let w(k) = -b(k) + 2*g(k). Does 18 divide w(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -1254*m + 77. Let d(n) = 33*n - 2. Let x(k) = 154*d(k) + 4*t(k). Let i(q) = -3327*q - 29888. Let r be i(-9). Let j(f) = -f. Calculate r*j(a) + x(a).\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 - 117 = b + 4*c, 2*b - 4*c - 14 = 0. Suppose 2*g + 2*i = 0, -4 = -g + 4*i - 3*i. Solve g*y = b - 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/3)*x)\/x**(2\/13)*(x**(2\/11)*x)**(2\/27) assuming x is positive.\nAnswer: x**(8753\/3861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 283 - 536. Is 91 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 6) to base 3\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16423 + 38288. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 66\/7, -1.2, 0.09?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*a = 144*a - 264248. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/10*(3 - 29\/9). Which is the third smallest value? (a) -2\/7 (b) -3 (c) n (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**3\/3 - 49*o**2\/3 - 208*o - 192 = 0.\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 14. Let n = 48 - 51.7. Let p = 4 + n. What is the second smallest value in p, m, 2\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018476426.\nAnswer: 2, 3, 11, 17, 907733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 6*l + 3. Let p be k(6). Suppose p*j - 12 = 2*j. Is 3\/(j\/(-8))*-12 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f - 23 - 40. Let v(b) = -1. Let o be 5\/(-5) - (1 + 1). Let c(j) = j + 3. What is f*v(n) + o*c(n)?\nAnswer: -3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4129419691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*z + 6. Let c be ((-5)\/80*4)\/z. Is 31 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.53, 2\/3, 0.53, -24, 1 in decreasing order.\nAnswer: 1, 2\/3, 0.53, -7.53, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-540)\/(-80))\/9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 381 = -7*q. Let y = q - 75. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - f. Let m(y) = 2*y**2 + 2. What is m(s) + 3*w(s)?\nAnswer: -s**2 - 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-6))\/(((-125)\/60)\/(-25)). Does 5 divide ((-2)\/(-5) + 292\/(-5))*m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*17*(-11)\/2431?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25008*n**3 - 2*n**2 + 2*n**2 - 25016*n**3.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4821?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 13. What is the nearest to a in -3\/4, 1\/4, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, g: 3, x: 4, r: 1, c: 2}. What is prob of picking 1 r and 3 x?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14687303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 150698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1208 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2399, -4906, -7523, -10304, -13303, -16574, -20171, -24148?\nAnswer: -28559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 = -7*y - 13. Suppose 228 - 12 = 4*j. Suppose y + j = 3*d. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.6 in 6, -2\/13, 0.2754?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(22)\/sqrt(2)) + 1.\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 124173\/10 - 24833\/2. Factor 0 + s*p**5 - 48\/5*p**2 + 16\/5*p - 24\/5*p**4 + 52\/5*p**3.\nAnswer: 4*p*(p - 2)**2*(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 9*s, 4*v - 9*s = -5*s - 32 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -152220 + 4?\nAnswer: -152214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = f. Suppose f = -s - 4 - 2. Does 5 divide 26*2\/(-2 - s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**2 + 8*k - 1. Let a be n(6). Let m be 1\/(-4) - a\/4. Let s = m + -11. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*j + 12. Let t(y) = -y**3 + 18*y**2 - 14*y - 11. What is the tens digit of t(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**2 - 1013 - 1012 + 3042 - 1016 in the form q*f**2 + o + l*f and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.09 in 4, -90, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 10697 = 3*z, 0 = -5*y - z - 2*z + 53449. Let p = 352 - 354. What is the units digit of p\/(-6) + y\/48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28592.03 - 9879?\nAnswer: 18713.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 620144 and 8918?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 247 + (6 - -3) + -4. What is the greatest common divisor of u and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11623931 to the nearest integer?\nAnswer: 3409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*g - 6480 = -185*g + 212*g for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33848, -33850, -33852, -33854?\n\"Answer: -2*z - 33846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**2 - 4981640*w + 1240836854480 = 0. Calculate w.\nAnswer: 498164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**7)\/h**(1\/3)*h\/(h\/(h*h*h\/(h\/h**(-6))))*h\/h**0 assuming h is positive.\nAnswer: h**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -95694, -95661, -95628, -95595, -95562, -95529?\n\"Answer: 33*y - 95727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 1341*g**2 + 18*g - 18. Let d(j) = 382*j**2 + 5*j - 5. Let a(t) = 18*d(t) - 5*w(t). Let b(z) = 2*z. Calculate b(a(u)).\nAnswer: 342*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7726?\nAnswer: 2, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*i - 27*i - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2604135 is divided by 77?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27263824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42661456 is divided by 650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**6*m*m*m)\/(m**(2\/3)*m))**(3\/13) assuming m is positive.\nAnswer: m**(25\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 12 = 12*i. Find the third derivative of 26*b**4 - 3*b**4 - b**i - 23*b**4 + 25*b - 40*b**6 wrt b.\nAnswer: -4800*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740574257 to the power of 1\/2, to the nearest integer?\nAnswer: 41720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 21, 1675, 0.2 in decreasing order.\nAnswer: 1675, 21, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 530 + -533. What is the fourth biggest value in 0.3, t, 2, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1102663281?\nAnswer: 3, 157, 2341111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12905 + 5158 + 5178)*(3*m**3 - m**3 + 0*m**3) as f*m + c + v*m**3 + k*m**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from {y: 2, n: 11}.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (25\/(-10))\/((-5)\/6). Solve x = -2*r + 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -15*c + 21. Let g = -42 - -46. Let n(a) = 3*a - 4. What is g*l(z) + 21*n(z)?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + r - 22 = -r, -40 = -4*j - 3*r. Which is bigger: 5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*j + 24 = 4*g - 0*g + 238*j, -66*g + 4*j = -706 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2 + p**2 - 2 + 1 - 2 - 8*p. Let f(g) = g**2 - 9*g + 16. Let u be f(8). Give x(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -515, -1042, -1581, -2132, -2695?\n\"Answer: -6*y**2 - 509*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 148377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 456 and 3116?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -132*q. Let o be v(-2). Let k be o\/(-16)*(-6)\/3. Suppose -2*b + k = s, -3*s + b + 177 = s. List the prime factors of s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/72)\/(2\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 5*f + 171 - 195 = 0, -5*f = 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (20 - -11) - -26.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 17 = 5*w. Let x be w\/(-8)*40\/(-15)*6. Solve 2*f + 0*f + x = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143*f**2 + 12886*f - 12886*f)*(-7*f + 2*f + 4*f) + 22*f**2 + 3*f**3 - 18*f**2 - 4*f**3.\nAnswer: -144*f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 31*n**2 + 37*n - 21. Let t be u(-30). Let c = 43 - 276. Which is bigger: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120118224?\nAnswer: 2, 3, 2502463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 710119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnn when three letters picked without replacement from dndjjjjnnnnjj.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90 - -22 - 113)\/(1\/(-23)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1276.762 - 1274. Let b = x + -2.8. Round b to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3\/8 (b) -96\/5 (c) -4 (d) 89 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.4022 and -20534?\nAnswer: 131462.7748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 130 divided by -65\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d = -30*d. Solve -4*m + 5*n - 21 = d, 3*n = -2*n + 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -3. Suppose 0 = -k*j + 5*j - 21. Suppose 7*s - 945 = 2*s. What is the greatest common factor of s and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 65?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 4 = a, 1122980*p - 1122977*p = 2*a - 15 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -101, -113, -139, -185, -257, -361, -503, -689?\n\"Answer: -f**3 - f**2 - 2*f - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20076 is divided by 9484.\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.33 + 6.2895. Let d = -19.0405 - v. Which is the closest to -0.2? (a) d (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34\/9 - (-2)\/9. Let f(q) = -q**3 + q**2 - q + 3. Let u be f(0). Suppose -b + u = -o. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 370328, 740654, 1110980, 1481306?\n\"Answer: 370326*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 3*l**5\/20 + l**4\/12 - 154*l**3\/3 + l**2\/2 - 144. Let j(q) be the third derivative of t(q). What is j(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31296 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - (-3 + 1 + 6). What is the closest to -1\/4 in q, 1\/2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q + 2*q**3 + 684 - 684 in the form o*q + s*q**3 + z + m*q**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.00529177 rounded to 3 decimal places?\nAnswer: -45.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58164*v**4 - v**2 - 2*v + 903.\nAnswer: -1395936*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/7))**(-4\/25)\/(a**(4\/5)\/a)**(-5\/8))**14 assuming a is positive.\nAnswer: a**(-111\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzjb when four letters picked without replacement from jjbbzbzjzjpzpjjzjzz?\nAnswer: 49\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 106602 to the power of 1\/2, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 10\/49223?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0.9, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-372)\/62*10\/6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 9.01. Let d = w + 0.51. Let z = 7 - 7.3. Which is the third smallest value? (a) -5 (b) z (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 77 = 49. Let i be 9\/3 - (5 - a). Calculate the greatest common divisor of i and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 + 32\/(-8))\/1. Suppose 56427 = o*b + 8861. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41486829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60946 or 4144359\/68?\nAnswer: 60946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 3. Let b be y(5). Suppose 3 = -3*f - 3*g, -g + b = -f + 7. Solve f*k + 11 - 3 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511*m + 1775 = 156*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13179, -26089, -39001, -51915, -64831, -77749?\n\"Answer: -x**2 - 12907*x - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2. Let f(l) = -20*l + 15593. Let m(k) = -6*k + 5199. Let d(u) = 2*f(u) - 7*m(u). Give d(y(q)).\nAnswer: -4*q**2 - 5207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/4 + 10566840*p - 37219369195200.\nAnswer: -3*(p - 7044560)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t + t)*(2*t - 4 + 4)*(-10*t**2 + 16*t**2 + 10*t**2).\nAnswer: 32*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2932 divided by -5033.\nAnswer: 2932\/5033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*f + 2043 + 7281 = 0. What is the greatest common factor of 126 and f?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 + 22*g - 7. Let r be h(-8). Suppose -r*y + 40 = -y. Suppose 0*n + y*n = 4*b + 554, 0 = 4*n + 3*b - 437. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*r**4*x + 5297*r**4 + 2*r**2 - 8*r*x - r + 279*x - 1 wrt r.\nAnswer: 444*r**2*x + 63564*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -38\/3, -0.3, -5, 21?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -208\/3483 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 + 81.5. Round d to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2\/9, -101.\nAnswer: -101, -2\/9, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69420 is divided by 547?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -139995350, -5, 5 in ascending order.\nAnswer: -139995350, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -93*n - 6099. Determine a(-77).\nAnswer: 1062","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17723413363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 5*k**2 - 1450*k + 1408. What is s(-41)?\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * 1.1\nAnswer: -0.121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151236 is divided by 95?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 449885078 by 23678162.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 5*t - 9. Let k be u(-7). Suppose -2*r - 82 = j, -4*r - 4*j + 59 = -k*r. Let s = -24 - r. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -4, 3, 6 in decreasing order.\nAnswer: 21, 6, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*a + 92 - 14 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**6\/120 - u**5\/12 + u**4\/6 - 20*u**2. Give d(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = u - 78. Does 26 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3014, -4653, -7324, -11027, -15762?\n\"Answer: -516*u**2 - 91*u - 2407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169913 = -49*d + 853169. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-12))\/(42\/(-16))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 842, 9, -3 in increasing order.\nAnswer: -3, 9, 842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3 + l**2 + l + 0 + 3. Let q be d(3). Let f = 19 + -13. Solve 3*w + q = f*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28310 is divided by 120?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -34, 2, 4, 11 in increasing order.\nAnswer: -34, -3, 1, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from ssszzxsxzzdszzsssz.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 18 + 43\/6*v**3 - 1\/6*v**4 + 2*v**2 + 0*v. Let w be a(10). Let j(q) = q**3 - 2*q**2 - 4*q + 2. Calculate j(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 1. Let t(b) be the second derivative of b**3\/3 - b**2 - 913*b. Let g = -8 + 11. Let n = g + -1. What is n*t(c) + 5*y(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*r**3 + r**3 + 0*r**3 + r**5 + (-2*r**2 + 0*r**2 + 3*r**2)*(0*r**3 + 3*r**3 - 5*r**3).\nAnswer: -r**5 + 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38309841441*n**2\/4 - 195729*n - 1 = 0. Calculate n.\nAnswer: -2\/195729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 750?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/30*(-15)\/6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 176 = 4*n, -5*d = 5*n - 7*n + 85. Let o(h) = 9*h - 40. Calculate the remainder when o(22) is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (144\/90)\/(54\/50 + -1). Suppose -16*c + q*c - 8 = 0. Let g be 2 + 320\/(-18) - c\/9. Is g at least -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = p - 16*g - 4 - 12, -3*p + 17 = 4*g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 6*x**2 - 6*x + 8. Let c be i(-7). Let r(z) = -39*z**3 + z - 1. What is r(c)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-32 + 18) - (16 + -13).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2756759*i**2 - 43*i + 1892 wrt i.\nAnswer: -5513518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 624\/7 + ((-284960)\/728)\/(-137)\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11163726*k = 11163822*k - 6336 for k.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((1\/(-6))\/(39\/(-78))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6491290 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*u - 3*u + 25, -2*u - 15 = -3*d. Solve -s + 2*h = 3*s + 20, 0 = -d*s + 2*h - 23 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 4 + 44 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 6) to base 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4708 divide 1081060376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 16*y**2 - 2*y + 2. Is 3 a factor of a(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*w - 240, 4*f - 255 = -3*w + 17. Suppose 17 = -2*p + f. Let a = 10 - -14. What is the greatest common factor of p and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/2*d**2 - 1\/2*d - 15\/2 + 1\/2*d**3.\nAnswer: (d - 1)*(d + 1)*(d + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*q + 208. Suppose -q*d = -50*d - 8. Let b be -10*(2129 - d)*-16. What is b rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**3 + 8*p - 5. Let q(u) = -2*u. What is l(t) + 4*q(t)?\nAnswer: -3*t**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6228)\/(-15051)*1\/2?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2734 divide 8584760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*l - 440 - 50. Solve -15*x + l = -22*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 690 = -5*l, -20*y + 6 = -23*y. Let a(k) = -57*k**3 - 1. Let g be a(-1). What is the greatest common divisor of l and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -7*l**2 - 3*l + 14. Let q be a(9). Let d = 771 + q. Calculate the remainder when d is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37\/70 - -1307\/420. Find the common denominator of p and 59\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.17? (a) 4 (b) -0.1 (c) -19321 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**5\/60 + l**4\/8 + 4*l**3\/3 + 48*l**2. Is o(7) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(40)\/sqrt(64) + 1*sqrt(160))*6)\/(-3*sqrt(180) - sqrt(5)*2*6))**2.\nAnswer: 289\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 100000 (base 4) to base 8\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-19210)\/15255)\/(2*((-30)\/(-9) + -3))\nAnswer: -17\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1051 + 1015 = -12*i. Let t(u) = u**3 + 2*u**2 - 3*u. Let v be t(-3). Let x = v + 0. Solve -i*f + c = 1 - 14, f + 4*c = x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*k - 60 = -9*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. Let g be l\/(9\/2)*3. Let o = 1127 + -1119. Solve 0*b - o = -g*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 170, 380, 672?\nAnswer: 1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331631 is divided by 163003.\nAnswer: 5625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/3, 5, 2\/33, 13, 3\/4, -11\/18?\nAnswer: -11\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/591 and 22\/2361.\nAnswer: 465117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 + 62. Let f = -20 + n. Let y(s) = s**3 + 5. Let g be y(f). Sort -3, g, 14, -5 in decreasing order.\nAnswer: 14, g, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16.17 + -0.17. Let k = d + -15.999944. What is k rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*sqrt(171)\/(sqrt(3)*1))\/((6*sqrt(12)*2)\/sqrt(4)).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - y + 57. What is a(0)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 259 by -4657.\nAnswer: -259\/4657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22220012112 + 111111?\nAnswer: -22212201001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 271 = 294. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*c**5 - c**5 - 7*c**2 + 7*c**5 wrt c?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1555 (base 6) in base 9?\nAnswer: -528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*u + 60*u + 62*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*n. Suppose n = 4*k + 3*m - 56, 8 + 1 = -k + 5*m. Sort -3, 0.3, k in descending order.\nAnswer: k, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 37*d**2 - 442*d - 5814. What is l(-13)?\nAnswer: 3988","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-7 - (-4 - 7996222)). Let q = 16076219 + o. What is q rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*r - 32, c - 2*c = 5*r. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 280 + -478. Let l = -787\/4 - h. Does 0 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rellmwsw. What is prob of picking 1 l and 1 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (7 - 1)\/3. What is the second derivative of 0*t - t + p*t**2 - t wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 4*p**2 + 3*p - 6. Let u be b(-5). Suppose 4*w - 6 = w. Let z = 11 - w. Solve -z = u*c - c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/160, 6\/583, -0.1 in descending order.\nAnswer: 13\/160, 6\/583, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 15) to base 14.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8*p + 52. Let d be n(6). Suppose -7*l + d*l = 3. Which is smaller: 1\/162 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 57\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 108.07 - 108. What is the smallest value in -4, p, 4\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-6)*(4\/(-14) + 0). What is the biggest value in y, -0.1, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121*z**3 + 582*z + 1?\nAnswer: 726*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 146016, 146015, 146014, 146013, 146012?\n\"Answer: -s + 146017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3906923 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**4 + 132*o**3 + 2588*o**2 + 2172*o - 4888 = 0. Calculate o.\nAnswer: -13, -2, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20788 and 281162897.\nAnswer: 5197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * 0.5.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1140 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/4))**(17\/6))**(-2\/5) assuming p is positive.\nAnswer: p**(17\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -5667?\nAnswer: 5673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000016502 rounded to 7 decimal places?\nAnswer: 0.0000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21474 + -21474. Let r(c) be the third derivative of 0 - 37\/60*c**5 + v*c**3 + 0*c + 40*c**2 - 5\/4*c**4. What is the second derivative of r(w) wrt w?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33635*s + 4814*s + 8513*s - 3073*s - 23913*s)*(2*s - 6*s + 2*s) to the form p*s**2 + g*s + w and give p.\nAnswer: 94588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7154 and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/12 - 44\/6. Let j = 8 + m. Let h(p) = 11*p**3 - 2*p + 1. Determine h(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127303.1 litres to millilitres.\nAnswer: 127303100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 113?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8388 times 0.003?\nAnswer: -25.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 3) to base 11\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.162767 to three dps.\nAnswer: -0.163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/8 (b) -23 (c) -3 (d) -1 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - 3\/(9\/(-24)). Suppose -5 = -p*j + 5. Determine s, given that s - 1 + 3\/4*s**j = 0.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1006774.\nAnswer: 2, 17, 29611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 545046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/8 + 1801*m**2\/8 - 3626*m + 14536.\nAnswer: (m - 8)**2*(m + 1817)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/(4048\/495)*-8\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 221 + -210. Let l = w - -281. What are the prime factors of l?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 + -16638?\nAnswer: -16648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1280\/(-180) + 1 + (-16)\/18.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 10983.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpwpo. Give prob of picking 1 x and 1 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**3 - 4*d. Let t be z(4). Let c = 47\/15 - 1949\/330. Calculate the common denominator of (-585)\/t + 2\/7 and c.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 112881, 225738, 338573, 451386, 564177, 676946?\n\"Answer: -11*y**2 + 112890*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-258)\/330 + (5 - (-7)\/154*-106)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -18*c + 2. Let h be x(-4). Let k = -32 + h. Suppose -6*v + 48 = -k. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-35))\/((-2)\/(12\/9)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 14*k - 13. Let u be s(15). Factor -3*j**u + 3*j**4 - 5*j + 3*j**3 + 2*j + 2 - 2.\nAnswer: 3*j*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**4 + v. Let h(m) = -22*m**4 + 33*m**2 - 5*m. Let j(i) = 5*d(i) + h(i). Find the third derivative of j(z) wrt z.\nAnswer: -648*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 772 a factor of 245453680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 448.8314 kilometers to millimeters.\nAnswer: 448831400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -852221.18 to the nearest one thousand.\nAnswer: -852000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266*(-40)\/320 - -40.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -6. Let z = 8.7 + -9. Which is the third biggest value? (a) z (b) y (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 26*g + 6. Let j be z(26). Suppose j*n = v + 2*n + 252, -n + 1222 = -5*v. Let w = 387 - v. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -722, -705, -662, -581, -450?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2, -159 in descending order.\nAnswer: -2, -10, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-17)\/n**(2\/5))\/((n\/(n*n**(-1\/11)))\/((n**(-7)\/n)\/n)) assuming n is positive.\nAnswer: n**(-1457\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3169*b + 6197*b - 3058*b - 2*b**2.\nAnswer: -2*b**2 - 30*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/658 and -59\/182172.\nAnswer: 1275204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**4\/6 + 7*z**3\/6 - 7*z. Let d(b) = 6*b**2 - 20*b. Calculate 5*d(s) + 14*h(s).\nAnswer: 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 4. Let x be m(-6). What are the prime factors of 99\/(-3)*-1 + x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**14\/((r**(10\/7)*r)\/r)*(r\/r**(-11))\/r**5 assuming r is positive.\nAnswer: r**(137\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -5*j + 50. What is the greatest common divisor of 110 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 8 + 6. Let t = -15 + 12. Let l(p) = -p**2 - p - 1. Let j(d) = 2*d**2 + 4*d - 4. Let c(y) = g*j(y) + t*l(y). What is c(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c + 1c1a?\nAnswer: 1c0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {j: 4, b: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*b - 6 = 0. Suppose -7*x + b*x + 5572 = 0. Suppose 4*v = x + 3127. What is v rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i**3 - 1048407*i**2 + 10626641 with respect to i.\nAnswer: 9*i**2 - 2096814*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 1)*10\/(-65). Let g = -38 - -41.3. Let f = g + -3. Which is the nearest to 1? (a) -2 (b) f (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1964 and 14710.\nAnswer: 14445220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6*((-20)\/5)\/(-8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.21705 times -1.8365\nAnswer: 0.398612325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5982 + -41872\/7. Which is the nearest to 385? (a) -0.3 (b) v (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -5*m**6\/6 + 14*m**5 + 40*m**4 + 10*m**3\/3 - 155*m**2\/2 - 80*m - 638. Factor a(f).\nAnswer: -5*(f - 16)*(f - 1)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -162 + 309. Calculate the highest common divisor of r and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4251*d + 8. Suppose 3*y = -1 + 4. Let a be 8*(-3)\/(3\/y). Let u be v(a). What is u rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 2*p + 8. Let k(a) = -2*a**2 - 5*a + 16. Let t(j) = 4*k(j) - 9*w(j). Determine g so that t(g) = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135 (base 7) to base 12\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4043*v - 4078*v = -350. Let c(k) = -16 + 2*k**2 - 5*k - k**2 - 4*k. What is c(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/14*-4 - 25392\/(-966)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b + 47. Calculate s(15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*q - 25 - 59. Let m(s) = 3*s**3 - 4*s**2 + s - 5. Let v(w) = -7*w**3 + 7*w**2 - 2*w + 11. Let n(y) = -5*m(y) - 2*v(y). What is n(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 + 71*v**2 - 8*v + 72. What are the prime factors of i(16)?\nAnswer: 2, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgkqkkzkzb. Give prob of picking 3 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-241*c**3 + 26*c**2 - 26*c**2)*(0*c - c - 19*c) to k*c + j + s*c**4 + v*c**3 + t*c**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/225)\/8*(1 - -1). Which is bigger: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2, -2, 0.03, 3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 281.51079 months to decades.\nAnswer: 2.34592325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*k**2 - 45963891*k - 18385554.\nAnswer: -3*(k + 3064259)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 25. Let o = s - -5. Solve 6 = -t + 3*w + 1, 3*t + o*w - 24 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (98 - 123) + -4 + 38 + -24 + 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28 and 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*o**2 + 13920*o - 95940.\nAnswer: -5*(o - 246)*(11*o - 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.18 + 0.18. Which is the biggest value? (a) -2\/15 (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1180 by -5.\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 9*t**2 - 12*t - 21 = 0.\nAnswer: -1, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*4\/16 - (-139)\/2. What is the remainder when (78\/(-15))\/(1\/(-10)) is divided by 7\/(6\/(-10) + 77\/z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3 - 13*f**2 - 46*f - 32 = 0 for f.\nAnswer: -2, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 15*r + 4. Let c be z(-13). Let g = -25 + c. What is the remainder when g is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/325)\/(11\/(-11)*1\/5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 327, 1303, 2939, 5241, 8215?\n\"Answer: s**3 + 324*s**2 - 3*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 491 - 362. Let q(c) = -132 + 259 + c + 0*c - v. Let i(n) = -3*n. Calculate i(q(b)).\nAnswer: -3*b + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -249.\nAnswer: 3\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/3696 and -169\/2343110.\nAnswer: 56234640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 less than 517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m - 35*m = -37*m. Factor m + 1\/6*o**2 + 1\/6*o.\nAnswer: o*(o + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44668 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/12)\/((-3)\/4). Suppose -s*k - k = 0. Suppose k + 3 = t. Solve 0 = t*l - 8*l + r + 4, -4*r + 3 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-5 - 8) + (9 - (2 - 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4902257 and 2121?\nAnswer: 4900136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.16 + -9.16. Let j = y + 8. Let w = 4.4 - j. What is w rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.4 and -1057.1238.\nAnswer: -1479.97332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 551648, 1103272, 1654896, 2206520, 2758144?\n\"Answer: 551624*o + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -69d0 + 11?\nAnswer: -69be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 55941 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 418 + -402. Calculate the remainder when 142 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 58\/10 + (-48)\/60. Suppose 0 = t*n - 5 - 10. Suppose -4*w - v = -47997, n*w = -v + 17928 + 18069. Round w to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v - 8. Let p be k(-6). Let h(w) = -7*w - 18. Let f be h(-4). Suppose 5*o = p*o + f. Calculate the remainder when 19 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2649*k + 886*k + 886*k + 6 - 6 + 863*k.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 548\/2893 - 2\/263. Let g = -2.03 + 0.03. Let f = -3 - -4. Which is the biggest value? (a) f (b) g (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 9*x**2 - 28*x - 12. Let h be f(12). Suppose i - h = -6*i. What is the remainder when i is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 - (40 + -8) - -56) + -2 + 13?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4252 + 5749. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 bigger than 24.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0695348 to 4 dps.\nAnswer: 0.0695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39280 is divided by 1635.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8.9 times 0.08\nAnswer: -0.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 9*p + 10. Let v be f(9). List the prime factors of ((-50)\/4)\/((-5)\/v).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235098166580 take away 0.006?\nAnswer: 235098166579.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*s - 1. Let k(o) = -16*o - 1. Let x be k(s). Let r = x - 13. Solve d + 4 = 2*w, r*w - 4*w + 4 = 2*d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.09 - 6.09. Let b = -5.92 + -0.08. Let y = b - f. What is the nearest to -1\/4 in y, 0.2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*(2 + sqrt(704) + -4 + -5 + sqrt(704))*-6)**2.\nAnswer: -8064*sqrt(11) + 103140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1463 + 1463.0004204. What is z rounded to five decimal places?\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 109*b**2 + 205*b - 786. Calculate r(-107).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m - 1 + 1)*(m + 0*m - 2*m)*(16 - 5 + 4) to the form f*m + r + d*m**2 and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.653, -7, 9 in descending order.\nAnswer: 9, 0.653, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -2\/39, 2\/7, 401, -2\/17?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 141485250*v - 2 - 2*v**2 + 200635999*v.\nAnswer: -2*v**2 + 342121249*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-12))\/5*(-26)\/13?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*h + 0*l = l - 2402, 0 = -41*h + 37*h - 632*l + 631*l + 193 for h.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/2917 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*w + 41, -2*u - 5*w + 61 + 16 = 0. Let q = u - -40. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -206 + 205.99466. Let n = 0.005 + z. What is n rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/659? (a) -17 (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85*f*i**2 + 5*f*i*j**2 - 17*i**2*j**4 wrt j.\nAnswer: 10*f*i*j - 68*i**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 37*q**4\/12 + 1462*q. Let x(u) = u**2. Determine x(o(f)).\nAnswer: 1369*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, 1\/5, 17, 807, 3, 1\/2?\nAnswer: 807","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p - 32 = 0. Solve 4*g - b + p = 0, -4*g + 3*g + 5 = -2*b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 7. Suppose 19 = g + p*n, -3*g + n + 0*n + 43 = 0. Calculate the remainder when g is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1352560 + 6?\nAnswer: 1352566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -242 - -3461333?\nAnswer: 3461061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 1633793\nAnswer: 1633792.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 51?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(49454 + 7 + -6). Suppose 31625 = 8*t - u. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a meter in centimeters?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1637*0.0093128\nAnswer: -15.2450536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 174 + 225*j**2 - 174 as u*j + i*j**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -25. Suppose 3336 = z + 3334. Calculate the smallest common multiple of u and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (32\/4)\/2 + -4. Let a be (5\/2)\/((-3)\/(-60)). Let h be (a\/(-15))\/((-2)\/3). What is the nearest to -0.2 in p, h, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 + 37*q - 30. Let z be j(-20). What is the highest common factor of 258 and z?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**6\/180 - 7*b**4\/6 + b. Let t(i) be the third derivative of a(i). Let r(z) = z**2. Give r(t(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19919 - -66656. List the prime factors of c.\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003 times -56?\nAnswer: 0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-2)\/(-12)*9. Let u(b) be the second derivative of 0*b**3 - 1\/2*b**2 - c*b + 0 + 0*b**4 + 1\/10*b**5. Differentiate u(w) with respect to w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 14*a**4\/13 + 880*a**3\/13 + 17616*a**2\/13 + 8896*a + 12896 = 0.\nAnswer: -26, -62\/7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4155797?\nAnswer: 4155797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -5. Let o = j - -6. Let b = 161 - o. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-35) - (159\/(-42) - -3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 2\/153, -1\/2, 0.0885, -5 in ascending order.\nAnswer: -5, -4\/7, -1\/2, 2\/153, 0.0885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*u, 0 = -0*d + 5*d - 2*u - 7. Suppose -3*j = -5*g + 5, -j + 3 = 2*j - d*g. Let b(z) = -z**2 + 2*z + 7. What is b(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 7. Let p(r) = 5*r - 4. Let j be p(q). What is the common denominator of -89\/12 and 53\/110 + j\/55?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000514353 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42030 - 42411121?\nAnswer: -43003201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 9. Suppose n*j = 17 + 7. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1271 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.9578 and -3.\nAnswer: 35.8734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2145 and 245?\nAnswer: 105105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 274500 divided by 10980?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 0.1, 1\/2, -2\/13, -9.02?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1038 by 23.\nAnswer: -1038\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 3*d**2 - 5*d - 4. Let c be 46\/(-12) - 2\/12. Let f be h(c). Suppose 0 = -3*o - r + f, 7*o - 2*r = 5*o + 8. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -10. Let i be 45\/(-6)*y\/3. What is the second derivative of 11*m**5 - 5*m - 21*m**5 + 7*m**5 + 4*m**i wrt m?\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28.92 + 0.08. Let a = -26 + c. Let m = 0.2 - 0.2. What is the third biggest value in m, a, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 5, 18, 31, 38, 33, 10?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 12*z**2 - 10*z - 11. Let l be o(11). Let c be (-80)\/60 - 17*10\/(-114). Which is bigger: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 728 is divided by 106.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 6:51 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 12:30 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (9 - 4) + 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -28842.976 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*f - 1, 3*u + 5*f = -0*u + 43. Let j(r) = -7*r + 36. Let k be j(5). Calculate the greatest common factor of u and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24275 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -5*t - 4, 0 = -2*t - 4*b - 5 - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235635 is divided by 33596.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4823 = 330*n - 1418 + 885 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 1 - 2*i**2 + 17*i**2 - 9*i**3 + 2*i = 0. What is i?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.771323 rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-63 - -19) + 36 + 2 + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 5 - (6 - (10 + 1))) + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 8*m**4 - 34676*m**3\/3 + 12574228*m**2\/3 - 35331884*m\/3 - 2079364 = 0.\nAnswer: -1\/6, 3, 721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4\/4 - 471*d**3\/4.\nAnswer: 3*d**3*(d - 157)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1274 - 1318) + (8 + -2 - (-1 - -1))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 222799 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 17*k**2 + 8*k + 2. Let z(l) = -l**2 - 8*l - 6. Let h be z(-3). What is the tens digit of t(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.5, -74.\nAnswer: -74, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/14 - 30\/7. Let m be (6\/r)\/(3\/116). Round m to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 52. Let c be u\/(-6) - (-4)\/(-12). Suppose -5*a + l + 98 = 0, 7 = -2*a - c*l + 36. Calculate the greatest common factor of 19 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0925 plus -9?\nAnswer: -8.9075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 448477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1201, 1136, 961, 622, 65, -764, -1919, -3454?\n\"Answer: -9*x**3 - x**2 + x + 1210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**5 - 56*a**4 - 7*a + 2?\nAnswer: 40*a**3 - 672*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-12))**42*n**(-10\/9)\/((n\/(n*n\/n**(-39)))\/n))**(-29) assuming n is positive.\nAnswer: n**(121133\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29614 + 29614.063. Let h be 2\/8 + (-14)\/(-8). What is the closest to h in -5, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 11 = 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -52, -91, -126, -157, -184, -207, -226?\n\"Answer: 2*m**2 - 45*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114542 + 1402153?\nAnswer: 1243211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 751044.\nAnswer: 751043.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 163*p + 164.\nAnswer: -(p - 1)*(p + 164)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(12\/7)\/b)\/b**18)**(-2\/37) assuming b is positive.\nAnswer: b**(242\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*q - 12 + 52 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 900 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 8*h - 1430. Let s be (-8)\/h - 6\/33. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4134 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*j + j - 18758 = 0, -j + 46895 = -5*w. Let o = 56425\/6 + w. Calculate the common denominator of 76\/9 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1481 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 is the common denominator of 101\/3968 and 113\/24?\nAnswer: 11904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 246048652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 461698351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*l**5 + 51*l**4 + 258*l**3 - 276*l**2 - 240*l + 225 = 0. What is l?\nAnswer: -3, -1, 5\/6, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p - 2. Suppose -3*w + 1 = -2. Let o(n) = 44*n - 113. Let y be o(28). Let d(g) = -y - 1114 + 2234. Determine w*b(m) + 2*d(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.9399929 - -2.94. What is l rounded to 7 decimal places?\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10885?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*b**2 - 204*b**2 + 407*b**2 - 9*b**3.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.36, 1\/4, 14, 3\/5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 - 38. Let j(p) be the first derivative of 2*p**2 + 4. What is the units digit of j(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 + (-28)\/(-8))\/((-3)\/2748).\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 49?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 3*d - 2. Let v(g) = -2*g**2 + g + 1. Let u be v(-1). Let z be a(u). Suppose z*n + 4*n = 8. Solve m + 0*m - n = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12949 + 12995. Let b be 3\/5*(-2)\/3. Put -1, b, 0.2, h in ascending order.\nAnswer: -1, b, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -219 + 228. Let g(z) = -z - 5. Let c be g(-13). Suppose a = c*a - 14. What is the least common multiple of t and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 20, -13, -1139, 4.\nAnswer: -1139, -13, 2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106295, 212589, 318883?\nAnswer: 425177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5, 0 = -2*t - 3*g + g - 38. Let w be (3\/6)\/((-3)\/t + 0). Let m = -16 + 35. Solve -r - 20 = -2*y + w*r, -4*y = -r - m for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (17\/(-17))\/(1\/2). Let t = -724 - -719. Let f(d) = -4*d - 19. Let l(a) = -2*a - 9. Let j(c) = -6*f(c) + 13*l(c). Let h(b) = b + 1. Give q*j(n) + t*h(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -3 (b) 401 (c) -4 (d) -1 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (57\/12)\/((-7)\/28). Let c = y + 102. Suppose -d + 16 = -c. Is 25 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1949*d**5 - 434*d**4 + 373965*d**2 - 28*d.\nAnswer: 116940*d**2 - 10416*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x - 21. What is m(20)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6039144173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-6)*h)\/(h*h\/(h*h\/h**(-5))*h))**(-24)*(h\/h**5*h)\/(h**(-6)\/h)*(h\/(((h*h**0)\/h)\/h)*h)**(1\/27) assuming h is positive.\nAnswer: h**(253\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/179139 and 80\/33.\nAnswer: 1970529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (72 - 179)*(-6)\/2?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**5\/5 + 588*l**4\/5 - 26874*l**3\/5 - 202296*l**2\/5 + 926877*l\/5 + 1101708\/5 = 0.\nAnswer: -9, -1, 4, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 262843505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/2 + 2. Let n = -29 - -27. Let q = 2 + n. Which is greater: z or q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 811846 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185742, 371505, 557256, 742989, 928698, 1114377, 1300020, 1485621?\nAnswer: 1671174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5181 is divided by 5171.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -3*f + 7*f. Let z = -2 - -5. Suppose -3*j = 3*t - 48, f - 58 = -z*t - 5*j. Solve -5*m + 22 = -4*x, 5*m + 1 = 2*x + t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 4*v**4 + 1 - 3*v**4 + v**4 + 0*v**4 + (2 - 3 + 2)*(0*v**4 - 3*v**4 + 4*v**4) + 3*v**4 - 4*v**4 - v**4.\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8b (base 14) to base 2.\nAnswer: 1111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74805952 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8352 and 1131.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/564 and 83\/18.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**5\/20 - 5*h**4\/12 + h**3 - h**2\/2 - h. Let f = -16 - -9. Let l = -3 - f. What is g(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -4, 4 in increasing order.\nAnswer: -27, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 12) to base 15\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/1 + 1 + -4)*(-4 - -15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 2 - (-1 - -9) - (-144 + 98).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2959 + 2957. Let i(o) = -o**3 - 8*o**2 - 11*o + 7. Let j be i(-6). What is the nearest to 0.3 in -0.1, -0.5, w, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191271467 a multiple of 379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (3*(sqrt(76)*-2 + sqrt(76) - sqrt(76)))\/((sqrt(180)\/sqrt(5))\/sqrt(9)) + -3 + 3 + -2)**2.\nAnswer: 72*sqrt(19) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**3 - 86*s**2 - 376*s - 2193. Give h(-39).\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 216565 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 38. Let g(j) = j - 3. Let q be g(3). List the prime factors of v(q).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 3 = -2*o + 18, 0 = 4*o + 5*z - 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2874 (base 13) to base 3.\nAnswer: -22000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 2:36 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2126 * -669.\nAnswer: -1422294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q + 150. Let i be p(-16). Suppose 24*s = 30*s - 276. Calculate the highest common factor of s and i.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -57, -84, -121, -168, -225, -292?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 60804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 298290498*s + 106486122 wrt s.\nAnswer: 298290498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -147 (base 16) to base 14.\nAnswer: -195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2*b - 5478, 4716 = 5*g - 2*b - 2131. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-2 + sqrt(162)) + 0 - (0 + sqrt(882) - 1*sqrt(18)*1)) + 4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53675.\nAnswer: 5, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 630 - 542.22. Let v = 5.02 + x. What is v rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402587*l + 151 = -402505*l - 997 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -16*h + 1761. Determine w(84).\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*n - 19*n + 8. Let p(c) = 0*c**2 - 4 + 17*c + c**n - 23*c - 5. Suppose 4*y - 4*k - 8 = 0, 5*k = 3*y + 3 + 1. Determine p(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**3 + 8*d**2 - 4*d. Let n(l) = -l**3 - 3*l**2 - l + 4. Let h(s) = s**3 - s**2 + s - 1. Let v(y) = 4*h(y) + n(y). Calculate -6*v(p) - 5*w(p).\nAnswer: 2*p**3 + 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233374*f**2 - 89689*f**2 + 137507*f**2 + 228054*f**2.\nAnswer: 509246*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 116880 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138604806 and 3186.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20202 - 4?\nAnswer: -20211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - (-9176)\/(-12))\/(3\/(-9))?\nAnswer: 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -161543 and 4285.\nAnswer: -157258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 15. Let v = 3 + u. Let r(h) be the third derivative of -h**4\/24 - 7*h**3\/6 + h**2. Determine r(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11 - 0.09. Let t = -541.98 - -547. Let n = l - t. Sort -2, -1, n in decreasing order.\nAnswer: -1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**4\/24 - 19*i**3\/6 + 14*i**2. Let p be f(17). What is the tens digit of (-50)\/p*(144\/(-10))\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -105*r**2. Let u(c) = 5*c**2 - 2*c. Let v(t) = -12*t**2 + 5*t. Let s be 4 + 3 + 24\/8. Let b(q) = s*u(q) + 4*v(q). Calculate b(i(o)).\nAnswer: 22050*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3256945675 to the power of 1\/2, to the nearest integer?\nAnswer: 57070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g**3*m**3 - 2*g**3*m*o + 5905704*g**2*m**3*o + 5039*g*m**2*o + 67*g*m**2 wrt m.\nAnswer: -18*g**3 + 35434224*g**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12\/95 - -10\/19. Which is the closest to 0.1? (a) 3 (b) n (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**2 + 197*p + 1107. Calculate l(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/((-99)\/54))\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17869925.\nAnswer: 5, 714797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -167 - -164. Suppose 0 = 5*f, 0 = 4*z - f - 35 + 15. Let p(n) = 2*n + 2. Let r(q) = -3*q - 3. Let c(h) = z*r(h) + 7*p(h). Give c(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -576, -1\/29, -0.01, -19, -2 in ascending order.\nAnswer: -576, -19, -2, -1\/29, -0.01, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(2*r - 3*r - r) + r - 2*r + 0*r + 5*r - r - 3*r - 89*r - 171*r - 106*r.\nAnswer: -364*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 11*k + 28. Calculate m(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -2. Let a = r - -2.8. Let y be (-4)\/35 - (-4)\/10. What is the second smallest value in y, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/6)\/(2\/(-4)). Suppose -c*g + 10 = y, -7 = g + 5*y - 1. Suppose -4*i - 3*o + g*o + 82 = 0, -14 = -i - 3*o. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 + 136*j**2 + 841*j + 3474. Give p(74).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 112837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17499 and 8037.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 491332 and 384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 1 + 1)*(-5*z**2 + 4*z**2 + 2*z**2) - 243*z**3 - 194*z - 3577*z + 244*z**3.\nAnswer: 2*z**3 - 3771*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 1156*b**7\/21 - 310*b**3\/3 + b**2 + 2*b - 640. Find the second derivative of k(y) wrt y.\nAnswer: 46240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -114 - -116. Which is the closest to 2\/3? (a) q (b) 5 (c) -1 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 439, 1010, 4 in increasing order.\nAnswer: 4, 439, 1010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*i - 8*i - 168. Solve -5*j + 4*r = 7*r + i, -r = 3*j + 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-231)\/(-6)))\/(7\/(-7))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g**(2\/7))*g**(-14) assuming g is positive.\nAnswer: g**(-100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -3.8.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 54171, 216675, 487511, 866679, 1354179, 1950011?\n\"Answer: 54166*o**2 + 6*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12587650 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 77974 = -13*n, 0 = -3*n + d + 7762 + 10232. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-30)\/(-28)))\/((16308\/(-810))\/(-151))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**2 - 2*q**2 - q**2)*(8*q**2 + 46*q**2 + 465*q - 470*q) + (0*q - 2*q - q)*(-2*q**3 + q**3 - q**3).\nAnswer: 114*q**4 - 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-42)\/4)\/(-7))\/(363\/(-9438))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*f**4 + 2785*f**3 - 7942*f**2 - 1536*f = 0. What is f?\nAnswer: -256, -2\/11, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*d + 33 = -22, 0 = -3*u + 3*d - 12. Let j be (3\/u)\/((-1)\/273). Round j to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -5\/543 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 9. Let p(a) = a**2 - a + 1. Let h(k) = -k**3 + 4*k**2 - 4*k + 4. What is w*p(d) - h(d)?\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 0*a + 4*a - 20, -15 = -3*a. What is the least common multiple of (17 - -1) + o*(-1)\/(-4) and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 8*b**2 + 3*b + 9. Let l be a(-8). Is 6 a factor of 2\/l - ((-996)\/(-45))\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2015*s + 16. Let v(x) = 8*x. Determine v(l(h)).\nAnswer: 16120*h + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 - 160 + 58 + 47 + p.\nAnswer: p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16680514?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -722977.981 rounded to the nearest one hundred?\nAnswer: -723000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 163130 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = -3*i + 239. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-204)\/119))\/((-1)\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((18 - 6) + -25 - -58) + 16.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6062504, 24250003, 54562500, 96999995?\n\"Answer: 6062499*y**2 + 2*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*y - 265*y = 40. Solve -y*i - 9 = 2*c + 3, -3*c = 2*i + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 2*y**2 + 3*y - 1. Let w be z(2). Let a = 13 + w. Solve 2*m = -10 + a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptpppptpp. Give prob of picking 2 t.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + q = 3, 2*z = q - 24 + 21 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + w**2 + 127. Let v be (-42)\/4*2\/3. Let q = -7 - v. Is a(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v = 819. Is v + -13 - -1*4 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*t - 69*t - 205. Suppose t = 5*r - 1040. What are the prime factors of r?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/(1\/(-6)). Let h(u) = -3*u**2 + 38. Let p be h(0). Suppose p - 14 = 8*q. Solve -q*x + w = 10, 0 = 3*x + r*w + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 3 = -5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65861\/18 - -3662. What is the common denominator of -69\/2 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*1\/(-6)*(-258)\/(-860)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -110100110011001 (base 2) to base 10\nAnswer: -27033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 14, 19, 26, 35, 46, 59?\n\"Answer: q**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 485 + -1438\/3. Which is greater: q or 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a millennium in decades?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.037 + -2.963. Let w = -0.99 - -0.9. Let s = -0.59 - w. What is the biggest value in s, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 64.4 and -87.\nAnswer: -5602.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**2\/5 - 14011*z\/5 + 38223962\/5 = 0.\nAnswer: -16349, 2338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-5)*v))\/(v*(v\/(v\/(v\/(v**11\/v))))\/v) assuming v is positive.\nAnswer: v**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4518221 (base 9) to base 2\nAnswer: 1001010010001000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1194*c**6 - c**4 - c**3 + 2*c**2 + 14*c + 18 wrt c?\nAnswer: -143280*c**3 - 24*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-10)*(-270)\/(-4). Suppose 55 = v - 4*s + 20, 3*v - 4*s = n. Let b = v + -9. Solve y + 0*c = -3*c + b, y + 2*c - 11 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**4\/12 + 7*s**3\/6 - 5*s**2. Let n = 24 + -21. What is the units digit of p(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 629*i**4 + 633*i**4 - i - 1260*i**4 + 153 as k*i**3 + r*i**2 + g*i + a*i**4 + q and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -298675, -597357, -896039?\n\"Answer: -298682*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 - 197747 + 197747.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -3. Suppose 4*m - 4*t + 1196 = 0, 1275 = -5*m - 3*t - 204. Let y be (-6)\/s + m\/(-15). Solve y = -x - 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q - 60. Let p be s(13). Suppose -10*t + p*t = 344. Suppose -551 = -9*a + t. What is the least common multiple of 8 and a?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*x + 21*x + 6*x to the form s*x + p and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59672 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 12. Suppose 5 + y = r. What is the third derivative of -3*v**6 + 5*v**6 - 5*v**6 - 3*v**r - 3*v**2 wrt v?\nAnswer: -720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -1, -11093.\nAnswer: -11093, -1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-28)*-4*(-2)\/(-12).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -5*v - 11. Let b(u) = -2*u - 14. Let h be b(v). Suppose y = 4*f - 3, h*y - 4*f = -6*f + 4. Solve 9 = 3*n + g, n + 3*g + y = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4\/10 - 1351*o**3 + 45791857*o**2\/10 - 109317516*o + 3273699528\/5 = 0. What is o?\nAnswer: 12, 6743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-1))\/(3\/(-3)). Suppose s*p - 4*p + 40 = 0. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7035? (a) -59 (b) 5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**3 - 5*l**3 + 6893224*l**2 + 5*l**3 - 6893224*l**2 + 11*l.\nAnswer: 6*l**3 + 11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a - q + 2 - 25 = 0, 4*a - 2*q + 8 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-242184.\nAnswer: 242184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 58?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2097 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 6 = 5*k - 3*x, -16 = -3*k + 2*x. Suppose 2*z + 7*z = 0. Let o be 4\/10 + 26\/10. Solve o*l = 3, u + z*l = -2*l + k for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/4 - 77*x**4\/4 + 75*x**3\/2.\nAnswer: x**3*(x - 75)*(x - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2399\/7 - 42293\/126. Let o = -71\/9 + 697\/72. Calculate the common denominator of o and u.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 (base 16) in base 13?\nAnswer: 1c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a + 5. Is 25 a factor of l(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, 13 in decreasing order.\nAnswer: 13, 9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/690624 and 145\/1611456.\nAnswer: 4834368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 2\/11, 0.4, 4\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -15191.\nAnswer: -8\/15191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -121 or -291?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**4 - 5081607*b**3 + 11926868*b**2.\nAnswer: 72*b - 30489642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66831 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15442079, -15442101, -15442123, -15442145, -15442167, -15442189?\nAnswer: -15442211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6*d - 10. Let k be q(5). Sort 1, -2, k in increasing order.\nAnswer: k, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-8) + (-6)\/(-4). Suppose -3*h = 2*n - 50, 0 = -5*n + 3*h + h + 102. Solve 0 = -o*k - 2*p - 2*p + n, -32 = -4*k - 4*p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i - 3*i + 0*i)*(8 - 11 - 36) to the form a + q*i and give q.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -415 + 6227\/15. Let f = -0.04 + 7.24. Let a = f - 7.5. Put u, a, -0.9 in decreasing order.\nAnswer: u, a, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12267.0766 rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306*r + 149*r + 148*r.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.01, 13, -2\/3, 9\/2, 0.4, -3, -1\/5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*o + 17*o + 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(684) - sqrt(684)*-2) + sqrt(684) + 1 + -4 + 0)**2.\nAnswer: -384*sqrt(19) + 11008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-80)\/140)\/((-2)\/35). Suppose -u = 7*c - 12*c. Solve 2*o + o + c*z = -25, o = z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 4*d + 4*d)*(-1 + 0 + 0)*(0*d - d + 4*d)*(d - 4*d + 4*d).\nAnswer: -36*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(288)*-1*-1)\/(((sqrt(54) - (sqrt(1350) - sqrt(1350)*2 - sqrt(1350))) + sqrt(54))\/(sqrt(24)*1))*-2.\nAnswer: -16*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: a395 (base 13) to base 8\nAnswer: 54107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 3 + (2 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14\/151 + -95\/604. Let z(b) = -b**3 - 3*b**2 - 4*b - 3. Let d be z(-2). What is the nearest to a in d, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 112*z**6 + 608*z**5 - 307*z**2 + 2528*z?\nAnswer: 13440*z**3 + 36480*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 524 - 519. Let y(i) = -24*i**2 - 4*i + 9. Let n(u) = -2*u - 2. Let d(h) = o*y(h) - 10*n(h). What is the first derivative of d(j) wrt j?\nAnswer: -240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62 + -153. Let n = q + 94. Let g(m) = -7*m**2 - 17*m - m**3 + 2*m**n + 15*m. Let j(y) = -y**3 + 6*y**2 + y. Calculate 4*g(f) + 5*j(f).\nAnswer: -f**3 + 2*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2680, -2430, -2180?\n\"Answer: 250*h - 2930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.2, 1\/6 in increasing order.\nAnswer: -0.5, 1\/6, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18417 by 3.\nAnswer: -6139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -495 + 533. Differentiate 103*s - 152 + 11*s + z*s with respect to s.\nAnswer: 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301427599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5 = 2*n - 0, 0 = -5*n + q + 23. Suppose 2*l = n*d - 30, -6 = 5*d + l - 33. What is the remainder when 16 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -98*t - 26*t - 5*p + 972, 5*t - 30 = p + 14 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -321 (c) -2 (d) 254 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 165\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l - 2*v + 170, 5*l = -3*v + 215. Let b(u) = -2*u - 7. Let n be b(-5). What is the remainder when l is divided by 45\/2 - n\/2?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 13*i**2 - 2*i + 4. Let g(c) = 13*c**2 - 3*c + 5. Determine 4*g(q) - 5*y(q).\nAnswer: -13*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -454910121*a + 3911605. Let c(m) = 19073*m - 164. Calculate -4*b(f) - 95405*c(f).\nAnswer: -19081*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33930*r**3 - 4*r**2*w + 7*r**2 - 3*r*w - 2882662*w + 1 wrt r.\nAnswer: -203580*r - 8*w + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)\/(-5*(sqrt(36)\/sqrt(4) + sqrt(9)) + sqrt(9)))\/((((sqrt(80) - sqrt(80)*-5) + sqrt(80))*-5)\/sqrt(8)).\nAnswer: sqrt(5)\/315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3378464*q**3 - 2*q**2 - 43269618.\nAnswer: -10135392*q**2 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27.4622 - -0.5378. Which is bigger: p or 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 17, 1.\nAnswer: 1, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -22b706b (base 12) to base 5\nAnswer: -3204204112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/(-130)*4\/10*(-30)\/33.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, 1, -2, -26, 5\/6?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjpjmeiwmpep. What is prob of picking 3 p and 1 w?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (((27\/(-12))\/(-3))\/(-1))\/2\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1606070*p**5 - 604113*p.\nAnswer: 32121400*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -25*q + 21*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15773\/2 or -7888?\nAnswer: -7888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 6 and 6.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -125001*b**3 - 2*b**2 - b - 2. Let c be f(-2). What is c rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1773*b = -2004*b - 280*b - 425985 for b.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 12 + 24 = 0. Which is the closest to f? (a) 1\/6 (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d**2 + 4*d - 1. Let s(b) = -b**2 + 15*b + 6. Let z be s(15). Let r(o) = o**2 - o. Give z*r(m) + 2*y(m).\nAnswer: -2*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 238986142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 14*d**2 - d - 2. Let x be t(-2). Suppose -x = -4*h - 0*h. Let m be 27\/63 - 378006\/h. Round m to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(165*a**4 + 113*a**4 - 213*a**4).\nAnswer: 65*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**7\/420 - h**5\/40 + 5*h**4\/12 - 11*h**3\/2 - 11*h. Let q(p) be the second derivative of r(p). Is 15 a factor of q(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 2)*(221*w**3 + 322*w**3 + 1290*w**3).\nAnswer: -7332*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -5*g + 125, -4*g = 2*f + 50678 - 50796 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -259076904*f**2 + 2*f + 459626102 wrt f?\nAnswer: -518153808*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-192)\/(-10)*1925\/(-1540)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/11602515 and 115\/108.\nAnswer: 417690540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -137aa (base 11) to base 10.\nAnswer: -19601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 10*v**3 + 4*v**2 - 128*v + 377. Let r be l(3). Calculate the greatest common factor of r and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = n - 4*n. Suppose -4*j + 16 = -n. Suppose 5*m + 29 = 4*g, -j*g + 37 = -3*m - 9. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 937733.\nAnswer: 23, 40771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -557*d**2*s**3 + 3*d**2 + d*s**3 + d - s**2 wrt s?\nAnswer: -3342*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -152949, -1\/3, 70 in increasing order.\nAnswer: -152949, -1\/3, 2, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 121927, 121916, 121905?\n\"Answer: -11*h + 121938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20798373, 41596741, 62395107, 83193471, 103991833, 124790193, 145588551?\nAnswer: 166386907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83 or 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c**2. Let v(y) be the second derivative of y**5\/60 - y**3\/2 + 2*y. Let q(t) be the second derivative of v(t). Calculate a(q(g)).\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464688*h + 11 = -d - 464691*h, 2*h = 5*d + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6842751 + -2057249. What is a rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 5*b - 274 - 81, 2*v = b + 145. What is the greatest common divisor of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3655812*j**3 + 3101279*j.\nAnswer: 21934872*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**2 + 3*q - 3*q + 0*q.\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine halves of a decade?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27620)\/165720)\/(2\/64*-2)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 9, -0.1, -1\/3, 0, -0.4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 2*n - 89. Suppose w - n = -w. What is the greatest common divisor of 63 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21805037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + -21 - (-436 + 417)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 3*l = -7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.548288 years to decades.\nAnswer: 0.0548288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, d: 7, l: 5}. Give prob of picking 2 d.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 473*j**4 + 170?\nAnswer: 1892*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 728094 less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 + 46.8. Let v = -0.8 + q. Let a = 4 + -4.4. Sort 1, a, v.\nAnswer: a, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/24*25\/(47250\/28).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 2*p**2 - 2. Let c(b) = b**3 + 2*b**2 - 3. What is 4*c(j) - 5*s(j)?\nAnswer: -j**3 - 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 8 = 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20496 - -29351. Does 26 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -1 + -5 + (-5 + 0 + sqrt(11) - sqrt(11))**2.\nAnswer: sqrt(11) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-1 + -12 - -32)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1303*d**3 + 4*d**2 - d + 17632 wrt d.\nAnswer: -3909*d**2 + 8*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/3 - (-12)\/9. Suppose 3*m = -k*g + 144763, 2*m + 77495 = -5*g + 258440. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 34531.77m?\nAnswer: 34531770000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 248279369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9064136 nanograms to grams.\nAnswer: 0.0000000009064136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 116517*m**3*s**3 + 4*m*s**3 - 25413*m*s**2 wrt m.\nAnswer: 699102*m*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -1\/3 (b) 0.1 (c) 2\/75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.72799 millennia in centuries?\nAnswer: 227.2799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.565223 to two dps.\nAnswer: 2.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 1, z: 1, l: 2}. Give prob of sequence ll.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4371 and 0.5.\nAnswer: 2185.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 44*d**2 + 1090*d - 21. What is h(-25)?\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.37017 or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -24*i**2 + 0*i**4 + 0*i + 2\/5*i**5 + 0 + 0*i**3 + 1\/15*i**6. What is the third derivative of o(j) wrt j?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v**3 - 8*v**2 + 2*v + 24. What are the prime factors of l(4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2776)\/5205)\/((-32)\/36)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(1\/4)\/v))**(4\/23)*v**(8\/7)*(v*v**(-1))\/v*(v**(-1))**(-10)*v**1*v\/((v**(-1\/6)\/v)\/v) assuming v is positive.\nAnswer: v**(14117\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 6 + 19 + -3 - (10 - 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/5)\/z)**49*(z**(2\/5))**(4\/5))**(4\/17) assuming z is positive.\nAnswer: z**(-2908\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*w = m + 934, 3*w + 6 = 0. Let b = -310 - m. Let p = b - 92. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -9*k**2 + 5. Let h(s) = -s - 1. Determine -3*h(o) - y(o).\nAnswer: 9*o**2 + 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 672*b + 163*b + 2239 = -308, 0 = 2*r - 0*r + 4*b - 18 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -394.\nAnswer: -5\/394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*t = 46 - 8 + 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(18)\/(sqrt(10)\/sqrt(5))) - (-4 + sqrt(13) + (sqrt(78)*-1)\/sqrt(6) + sqrt(13))**2.\nAnswer: -29 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*a = 31*a + 4*b + 30, -4*b = 36 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o*o*o*o**(-5)))*(o*o**(-1\/13))\/o assuming o is positive.\nAnswer: o**(-27\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 116 (c) -6234 (d) 39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 + 52 - (1 + (7 - 6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*a = 31*a - 66 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 10:47 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 2 + 4 + 1 - 4 + (3 + 2 - 6)*(-1 - 3 + 6) + 32 + 1 + 11)*(-2*w + 2*w + 8*w) to y + b*w and give b.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 10 = -5*z, -4*x + 16 = 2*z - 4. Suppose z*c + 90 = 2*c. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 61 = -2*m, -261 = -5*b + 5*m + 29. Let j = b - 33. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1754450?\nAnswer: 2, 5, 35089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-315031900.\nAnswer: 1575159500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -5*a**4\/24 - 12*a**2. Let q(k) = -k. Calculate q(m(y)).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 2 (b) -15 (c) -3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*n - 20, -n - 3*n = q - 16. Let f be n\/(27\/12)*30\/20. Let u(z) = 13*z - 8. Let k(v) = -3*v + 2. Give f*u(y) + 9*k(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**4 + a**4 - 2*a**4)*(-a + 5*a - 3*a + (-a - 3*a + 5*a)*(2 + 3 - 4) - 5*a + 2*a - 2*a).\nAnswer: 6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.4 (b) 5 (c) 143.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4689594 (base 11) in base 2?\nAnswer: 11111001101101001011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 + -0.1. Let m = 0.7 + i. Which is the nearest to m? (a) 2 (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 131 - 61*s**4 - 115*s**4 + 32*s**4 wrt s?\nAnswer: -576*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 312901?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(70)\/sqrt(2) + sqrt(35))\/sqrt(5) - ((sqrt(847)*-2)**2 + -2).\nAnswer: -3386 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -9*i**4\/2 + 20*i**3\/3 - 12. What is the third derivative of m(k) wrt k?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*y + 29 - 3, -18 = -y + 4*s. Suppose 0 = y*j + 4*v - 1 - 19, 0 = -3*v + 9. What are the prime factors of 54\/j*32\/24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 - -51. Solve -1 = -j*k + 14 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 7232590?\nAnswer: 238675470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*p - p + 1, 0 = 3*p - 5*i - 14. Is (p - 0) + (64 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2687666 > -2687665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.0758431nm?\nAnswer: 0.00000000758431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*p + 2*j + 17 = 124*p, -4*p = 4*j - 36. Let r = 2 - 0. Put 0, r, p in descending order.\nAnswer: p, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -309 - -311. Solve -6*c = d + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141917758891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 1. Let q(r) = r**3 - 4*r + 29. Calculate 4*d(s) - q(s).\nAnswer: -s**3 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*6\/(-6))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22682012623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395 = -5*u - 2*d, 3*d - 10 = d. Let o = -36 - u. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -546 - -856. What are the prime factors of h?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -92\/7 (c) -1\/7 (d) -51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.048 + 1.348. What is the closest to -1 in 3, p, -0.026?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263 (base 7) in base 2?\nAnswer: 10001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.02 - -0.02. Let f(t) be the first derivative of -t**2 - 4*t - 3. Let p be f(0). What is the nearest to 0 in 0.2, n, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35086 rounded to the nearest one hundred?\nAnswer: -35100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14356 <= 14367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -47) + (-3 - -9) + -4 + -13.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -701?\nAnswer: -705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643 a factor of 9629623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + 9. What is the lowest common multiple of k and 6?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0166 and -0.4.\nAnswer: -0.00664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20210 (base 3) to base 9.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 9:20 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2. Suppose 3*y - 10 = -1. Let c(o) = -191*o**2 + y - o**3 + 191*o**2. Give 4*c(g) - 6*p(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g - 1. Let z(q) = q + 4. Let o(n) = -7*n + n + 8*n + 7. Let d(r) = 3*o(r) - 5*z(r). Calculate -5*d(w) - 5*p(w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*i + 2*d, 5 = 2*d - 1. Suppose -3*t + 3*o - 6 = o, -t + 4*o - 2 = 0. Sort -3, t, i in decreasing order.\nAnswer: i, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 4004.\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28919.2 + 28919. Which is smaller: 8590 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -1138602?\nAnswer: -1138605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 5 (b) -3\/5 (c) 9 (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 18 = 6*a. Let k be 6*3*a\/(-27). Suppose -1 = -k*y + 7. Solve 4*h + 19 = -3*p, 0 = 3*h - 3*p - 10 - y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)*c**12)\/(c**(3\/2)*c*c*c\/c**(-1\/6)) assuming c is positive.\nAnswer: c**(160\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b - 27 - 2*b + 3*b + 22. Let l = 6 - 2. Determine f(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2\/5 (b) -2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 64*o. Let s(k) = 11*k**2. What is m(s(b))?\nAnswer: 704*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 97870216 and 152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 12 - 4 = -4*k, 0 = -5*k + 10. Let o be 0 + (-36)\/q - -2. Let n be ((-10)\/(-2))\/(2 - 1). What is the third biggest value in n, 0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 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 12.1872 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/6)*v*v**3*((v*v\/((v*v**(5\/2)*v*v)\/v))\/v)\/v**(-1\/6))\/((v\/(v\/v**(-2\/7)))**10)**(-11) assuming v is positive.\nAnswer: v**(-419\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7*(2 - 3) - -2. Suppose -5*p - 9 = 4*n + 22, p + 19 = -4*n. Let l = n + 13. Calculate the highest common factor of v and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -12. Suppose v*q = -3*m + 6, -3*m - 4*q - 2 = -m. Which is the second smallest value? (a) m (b) 2\/17 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 + -7. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from kkkskkkkkkkkkkk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212182 to the power of 1\/2, to the nearest integer?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1027.05096 + 1027. Round w to three decimal places.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5, 20, 45, 80?\n\"Answer: 5*t**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 2*r. Suppose -c + 3*q = -11, -3*c - 3 = -r*c + 3*q. Suppose 5*s - c = 4*s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 6*w**2 - w - 1. Calculate v(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*-6*((sqrt(99) - sqrt(11)) + sqrt(11)).\nAnswer: -108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 2*i + 2*a - 34 = 0, 0 = -4*i - a - 49. Let q be (-68)\/i - (-14)\/(-77). Let g be 45\/27 - (-2)\/q. Solve k + g = 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/2 of a year?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4081 - 763. What are the prime factors of x?\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/260 and -121\/11310.\nAnswer: 22620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1161300 to the nearest 10000.\nAnswer: 1160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2. Let k(t) = -133*t + 2. Determine h(k(q)).\nAnswer: 35378*q**2 - 1064*q + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.05 (b) 2\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70 - 64. Is ((-548)\/v)\/((-10)\/105) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3ca752 - -11?\nAnswer: -3ca741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2000960 divided by 1352.\nAnswer: -1480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9762 + 3582656\/367. What is the fourth biggest value in n, 3, 0, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 584764206?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-2)\/u*u))\/(u**1*u))\/(u**(3\/7)\/u**(2\/59)) assuming u is positive.\nAnswer: u**(-163\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*j + 2 - 13 = 0, -31 = -3*i - 2*j. What is the remainder when 2 is divided by (-24)\/(-14) - (-2)\/i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -194, 0, -3, -13, -1, -2 in ascending order.\nAnswer: -194, -13, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.7 (b) 3\/5 (c) -2\/75 (d) 0.5 (e) 0.4 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.27 - 4.27. Put -3, j, -2 in ascending order.\nAnswer: j, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g - 30*g + 101 = -7. What is the remainder when 163 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -26. Suppose -3*k = 7 + 17. Calculate the remainder when 2\/k + (-484)\/(-16) is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.6918751 nanoseconds to weeks.\nAnswer: 0.00000000000005901434375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 3*j - 30 + 7*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**2 - 6*y + 9. Let v(p) be the third derivative of -p**5\/20 - p**4\/4 + 3*p**3\/2 + 6*p**2. Let t(d) = -3*r(d) + 2*v(d). Factor t(j).\nAnswer: 3*(j - 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.095 - -6. Let h = -5.095 - a. What is the third biggest value in h, -0.2, 10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*m + 1401 = 89*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 4\/7 (c) -8 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 3*b - 4*l, 2*b + 2 = 3*l - 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2361429420 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = 43 + 5. Let c(f) be the third derivative of 0*f + 0*f**3 + 2*f**2 + 0 - 1\/120*f**6 - 1\/15*f**5 - 1\/8*f**4. Give c(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 210 or 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 16 = 2*u, 2*z + 4*u = 4 - 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 42540*a - 42539*a for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-45) - 25\/(-9). Let k = 5 - j. Suppose 3 - 5 = -k*u. Solve -u = f - 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*m = -28, -4 = -3*g - 2*m + 10. What is the least common multiple of 3 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-26)\/5 - -4)*(-40)\/12. Suppose q*h = 3*f + 37, h + 4 = f + 12. Which is smaller: h or 17?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56528 (base 14) in base 11?\nAnswer: 13349a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 250635757\/1503 + -166757. Find the common denominator of -85\/18 and j.\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 78?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - 33?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/1155 + 30\/88 + (-11)\/((-1012)\/(-15))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-90)*(-3)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 21 - 1)*(-q + q + 8*q) + (-6 + 2 + 2)*(0*q + q + q).\nAnswer: -292*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 4*f + 4. Let s(o) = 3*o**2 - 1. Let k be s(-2). Let w = -6 + 10. Let v(g) = -11 - 7*g + 17*g - 21*g - 3*g**3. Calculate k*q(i) + w*v(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - 12\/(-3)) + 2. Suppose 2*d - 20 = -v*d. Is 4 != d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8\/3 - 125\/12. Let j be (-72437)\/(-180455) - (1 - 9\/15). Let z = -125209\/33968 - j. What is the common denominator of z and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 84*d**2 + 319*d + 195. What is the remainder when 1151 is divided by z(80)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7657830 is divided by 1256.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*o - 80*o - 2*l - 34 = -l - 4*l, -3*o + 4*l = 77 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27841\/3 - -8982. Is -297 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 193*k + k**3 - 2*k**3 - 161*k + 2*k**2 + 0*k**3 to n*k**3 + x*k**2 + p*k + v and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85344998 is divided by 31?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 69702983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 23*q**3\/6 - 24*q. Let t(d) = -9*d - 7. Let v(a) = 8*a + 6. Let h(c) = 6*t(c) + 7*v(c). Determine p(h(w)).\nAnswer: 46*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -21. Suppose 3*n - h = 72. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -3*t + 3, -108*t + 111*t = u + 18 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 2*i**2 - 70*i + 424. Determine p(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 + 2*a**4 - a**4)*(0 + 3 - 6) + 6*a**4 + 13*a**4 - 9*a**4.\nAnswer: 13*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*a**2 + 33\/2*a + 27.\nAnswer: 3*(a + 2)*(a + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -193731 times 0.4\nAnswer: -77492.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83865073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 2*a + 13*a**2 + 2*a**2.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -430 and 1672.4.\nAnswer: -719132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d*p**2*u**2 + d*p**2 + 25*d*p*u**2 + 8*d*u - 4*p**2*t*u**2 - p**2*t*u - 10*p**2*t + p wrt u?\nAnswer: -6*d*p**2 + 50*d*p - 8*p**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**6\/210 - 2*c**5\/105 + c**4\/42 - 117*c**2\/2 - 152. Let g(p) be the second derivative of y(p). Determine x so that g(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*p = -15. Is 21*9\/(-6)*(-2)\/p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3349 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4124.968 kilograms to tonnes.\nAnswer: 4.124968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**8\/336 + x**4\/24 - 3*x**2\/2 - 6. Let g(f) be the second derivative of q(f). Find the second derivative of g(a) wrt a.\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123 + -1132332?\nAnswer: -1132203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 - 88*n**5 - 80*n**5 + 166*n**5 + (-4*n + 6*n + 0*n)*(-1 + 4*n**4 + 1).\nAnswer: 6*n**5 - n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) -5 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 6:50 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1*0*(-5)\/10 - -26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 70 - 49 + 12 - 7*q + 70 + 15 in the form d + f*q and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**5\/20 + q**4\/3 - 3*q**3\/2 + 26*q**2. Let r = -11 + 4. What is the tens digit of c(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -82690.940003 - -82691. Let u = -2 + 1.94. Let h = u + a. Round h to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -10 and -218\/25 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l\/l**1*l*l))**(17\/3))**(10\/9))**30 assuming l is positive.\nAnswer: l**(-3400\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 12*u**2 - 9*u + 10. What is the remainder when 63 is divided by m(11)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11514 - -11512. Which is the third smallest value? (a) x (b) -2\/11 (c) 146 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -135?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**3 - 4*i**2 + i + 3. Let y be z(3). Suppose 168*p = 166*p + 20. Let r = y - p. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -16*a + 11 - 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**4\/6 + 37*q**3\/9 - 26*q**2\/3 - 333*q. Determine x, given that n(x) = 0.\nAnswer: -13, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 390, 794, 1196, 1596, 1994, 2390?\nAnswer: 2784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-125)\/15*(219\/365 + 0 + -1)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5655?\nAnswer: 3, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6079 + 0.6079. Let q be (-6)\/(-7)*21\/3. Sort 2\/3, q, 0.1, h in descending order.\nAnswer: q, 2\/3, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (6 - 8)) + 23 + 7 + -4.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 154*l**4 - 23*l**3 + 2*l**2 + 1 - 5*l**2 + l - 313*l**4 + 156*l**4 to d + c*l**3 + w*l**2 + y*l + z*l**4 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m - 2. Let z be g(4). Suppose 0*n + z = 2*n. Suppose -3*h = -h - 3*o - n, h - 5*o = -1. 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 y(w) = 5*w - 2. Let j be y(8). Let x(i) = 2*i**3 - 2*i**2 + 3*i - 4. Let a be x(-2). Let r = a + j. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -108.64 - -1008.44. What is v rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.90171 weeks to days.\nAnswer: 223.31197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 5 = 8*p. Let g(a) = a**2 - 5*a - 1. Let j be g(6). Suppose -j = -2*v + 19. Solve -4*b = 5*x - x + v, -5*x = -p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - 4045131?\nAnswer: -4045120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c*x**3 - 9*c*x**2 - 157*c + 3*x**2 + 1 wrt x.\nAnswer: 3*c*x**2 - 18*c*x + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*x + 36498725 - 36492614 = 0 for x.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.8 + -10.79999866. Round k to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5788*p + 57873. Calculate k(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4199 + -2959?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 443111 (base 5) to base 14\nAnswer: 5886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -277 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.07 - 0.05. Let y = r + 0.08. What is the second smallest value in y, 2\/11, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4d7 + 1b543?\nAnswer: 1b05b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-6) - 2956\/(-5896). Let a be (-34)\/88*1777\/134. Let i = s - a. What is the common denominator of -97\/8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11133646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -l - u + 4 = -1, -2*u + 16 = 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*y = -y. Suppose -4*o + 5 + 3 = y. Solve 0*q = -2*l - o*q - 16, -5*l - 34 = 3*q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-39)\/(-9) + (-1)\/3. Suppose -l + 5*c + 69 = 0, 0 = 3*l - l + m*c - 110. Is 10 a factor of l\/2 - 12\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 6*u + 31 = 0, 713*b - 714*b - 3*u = 4 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*w + 2. Let o = 9 + w. Let n(s) = o*s - 4*s - 12 - s. What is n(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301375 bigger than 301375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, p: 3, z: 5}. What is prob of sequence zwzw?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*t**3)*(-26 - 28 - 6 - 28 - 23685*t + 88) as w*t**3 + j*t**2 + n*t + r + k*t**4 and give k.\nAnswer: -47370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r - 22. Let n be l(7). Let c be (n - 0 - -1) + (-2 - 53). Calculate the remainder when (-1)\/5 + (-3146)\/c is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 3095962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*k + 6 + 2 = 0, 3*k + 13 = 5*d. Suppose -3*a + 5*v + d = 5, 20 = 2*a + 4*v. Solve -5*u - g = -6*g + 10, 3*g + a = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 832337.856ms to weeks.\nAnswer: 0.00137622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4092699 to the nearest integer?\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 464 + -462. What are the prime factors of (-8 - (-3 - 6))*2910\/c?\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -113*x**2 - 8*x - 4. Let n(d) = -226*d**2 - 17*d - 10. Give 5*a(w) - 2*n(w).\nAnswer: -113*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2693\/11 - (-12)\/66. Let h = k + 105. What is h rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 11*m**2 - 19*m + 3. Let h be w(-9). Let x = 101 - 62. Suppose -x = -y - 2*y. Is y at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 49 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 710 and 3195.\nAnswer: 6390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -1, -5, -108?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -32afb25?\nAnswer: -32afb24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 2. Let c(r) = r. Let w = 7 + -12. Let u(h) be the first derivative of -3*h**2 + 2*h - 2223. Determine g*u(y) + w*c(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 8) + -27 + (-207)\/(-12).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 373*l**9\/72 - 11*l**5\/3 - l**3\/6 + 2*l**2 - 1124*l. What is the third derivative of q(a) wrt a?\nAnswer: 313320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 1\/19, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14233837 less than 218820?\nAnswer: 14452657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/133? (a) 0 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2672 is divided by 386?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-105)*(-217)\/(-62) + (-14)\/10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**3)**(1\/4)\/((j\/(j\/(j\/j**(-2\/7))*j))\/j)**37)**(-2\/5) assuming j is positive.\nAnswer: j**(-733\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(75))**2 - (sqrt(150)\/sqrt(5))\/sqrt(10).\nAnswer: -sqrt(3) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 211 - 806 = 0. Let h = n - 185. What is the greatest common divisor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 541244.\nAnswer: 2164976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, 80 in increasing order.\nAnswer: -6, 3, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by (1\/1)\/(2\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2992 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (sqrt(128) + sqrt(128)*2 + sqrt(128) + sqrt(128)))*-5)\/((1*sqrt(100)*4 - sqrt(100) - sqrt(100)) + sqrt(100)).\nAnswer: 16*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 364*n**2 + 354*n**2 - 1329*n**2 + 359*n**2 + 252*n**2 - 2*n**3.\nAnswer: -2*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2730560 a multiple of 371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2) + 1 + (-3 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(66) + sqrt(66) + (1*sqrt(66) - sqrt(66))) - sqrt(66)) + 5*(sqrt(66) + sqrt(66)*3))\/(sqrt(150) + -3*2*sqrt(150) + sqrt(150)*-1*3).\nAnswer: -29*sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.27560718709382 and -0.5.\nAnswer: -0.22439281290618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -32. Let i(w) = -39*w + 7. Is i(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 15 = 0, 2*t + 41 = -3*y + 287. Let m(u) = -80 - u + y. Let n(l) = 2*l**2. Give m(n(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/2)\/(4\/(-128)). What is the remainder when (-2)\/6 + (-8)\/(-6) + 27 is divided by l + (2\/1)\/(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466840101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1437 = -5*b + 8*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/77*1320\/(-240)*(-98)\/(-4)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27549 is divided by 1201?\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) -0.13 (b) 0 (c) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = s - 290, -2*n = -3*n + 1. Let x = s + -116. Suppose -6*c + 3*c = -3*h + 123, 5*c = 4*h - x. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 9 = -2*p - 4*b, 0 = -3*p + 3*b + 9. Suppose z - 19 = -11. Solve z + 0 = -p*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5721 = -68*t + 4837 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 319248020 to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2082 divided by 2\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6 + j + 0*j - 5*j**2 + 5*j + 0*j. Let m(c) = -154*c**2 + 187*c - 187. Determine 6*m(x) - 187*p(x).\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2.2459*111\nAnswer: 249.2949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1617000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 4206.\nAnswer: -4, 2, 4206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**2 - 14 + 30 - 18.\nAnswer: 12*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*b**2*f**4 - 273*b**2*f**2 + 6*b*f**6 wrt f?\nAnswer: -288*b**2*f + 720*b*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + (-8990)\/(-812) + (-1)\/14?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 57112599 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-47)\/((-10810)\/(-138)))\/(1\/((-210)\/(-66))).\nAnswer: -21\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756)*2 + (-2*sqrt(210))\/sqrt(10))\/((sqrt(24) + 1*sqrt(2904))\/sqrt(8)).\nAnswer: 5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1801 in 5, -0.3, 1\/14, -3, -1\/38?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/(-80)*(-3416)\/(-301889).\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22035 by 42.\nAnswer: 7345\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20655 * 26.01\nAnswer: -537236.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(6\/(-27))*9*(-198)\/243\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*3 + -5 - (sqrt(1377) + -1 + sqrt(1377))*5.\nAnswer: -81*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**3\/3 + 47*i**2\/3 - 97*i\/3 + 49\/3 = 0.\nAnswer: -49, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1728) + 1 - (sqrt(1323) - (sqrt(1323) + (sqrt(1323) - (sqrt(1323) + -3)*-1) + sqrt(1323) - sqrt(1323))))**2.\nAnswer: 132*sqrt(3) + 13069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 13, z: 3}. Give prob of picking 1 z and 1 v.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and ((-1179)\/262)\/(2\/(-24))?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(3) + sqrt(3) + sqrt(3) + -4 + sqrt(3) + 1.\nAnswer: -2 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 576647 to the nearest integer?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 29. Suppose -2*s = -0*s - c - 36, 3*s + u*c = 76. Does 7 divide -1 + s + (-6)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(5) + sqrt(160)\/sqrt(2)) + (1*sqrt(192) + -1)**2.\nAnswer: -79*sqrt(3)\/5 + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from pyppyppyppppptyypypy?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15183323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -9*y. Let b(w) be the first derivative of w**3\/3 + w - 18. Let z(d) = -15*d**2 - 18. Let i(v) = -18*b(v) - z(v). Give i(g(a)).\nAnswer: -243*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 10 = -a. Suppose 2*y = 2*n - 12, -a*n = -0*n + 3*y - 6. Let j be n\/(-9) + 10\/3. Solve 3*w = j*h, 0 = -h + 3*w - 8*w + 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4218 + 4215. Which is the second smallest value? (a) 1 (b) -4 (c) h (d) 0.5 (e) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 + -67. Solve 3*f - c*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*h = -5*k + 10*h - 115, 257*h + 64*h = 3*k + 324*h + 6 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -122.099839683895 - -0.099839737895. Let c = n - -122. What is c rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + d - 1. Let x = -44 + 29. Let k = -8 - x. Suppose -2 = -3*f + k. What is q(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 67032 and 28.\nAnswer: 67032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28204\/22425 - 14\/575. What is the common denominator of -13\/87 and m?\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -1131*w. Let z(j) = 5*j**2 + 6526*j - 2. What is k(z(l))?\nAnswer: -5655*l**2 - 7380906*l + 2262","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 2512*r**2 + 5030*r - 2516.\nAnswer: -2*(r - 1)**2*(r + 1258)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 - 329 = -24*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45180 = 976*h - 958*h. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3) - 1)\/(8\/12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3 + 46*f**2 - 48*f = 0. Calculate f.\nAnswer: -24, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1619085 is divided by 228?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 5, 2 in ascending order.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, q: 1, f: 12}. What is prob of picking 2 i and 1 f?\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*i + 23 + 22, 5*a + 3*i - 60 = 0. Let h = a - 7. Solve 3*u = -u - h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -57*j - 725. Let u be z(-17). Suppose -5*q + 2*x + 359 = 0, -2*x = 2*q - 7*x - 131. Let f = u - q. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1271483?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -11 (b) -1\/10 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 0*j**2 + 5*j**2 - 4*j**2. Let x(y) be the third derivative of 0*y**3 + 0 + 1\/12*y**4 + 2*y**2 + 0*y. Determine x(r(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 90\/36*(-440476)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*q - q. Let a(f) = -q*f + 12*f - 1 - 10*f + 4. Let z be (-27)\/(-6)*((-24)\/9)\/2. Determine a(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19718 + 19718.002505. Round g to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/((-3)\/(-33)*2))\/(10\/5)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2. Let m(f) = 250137*f. Determine m(t(z)).\nAnswer: 250137*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 = -0*n. Let h(m) be the second derivative of m**5\/20 - m**4\/6 - m**3\/3 - 3*m. What is h(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5364?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, s: 7}. Give prob of sequence us.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -4 (c) 1 (d) -908 (e) -0.045 (f) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 10. Let o(k) = 40*k**2 - 3*k + 3. Let z be o(1). Let m be 16\/z*(1 - -4). Let d(v) = -2. What is m*s(c) - 11*d(c)?\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 785 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 - -56. Sort d, -1, 2.7, 1 in descending order.\nAnswer: d, 2.7, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 158 = q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -11. Suppose 0 = -2*n + q*n - 945. Calculate the highest common divisor of 21 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 314*p - 3711 = -310*p, i - 5*p - 1226 = 0. What is the highest common divisor of i and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 4, 2*a = 3*p - 0 - 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f. Suppose 37*a = 71*a + 68. Let w(t) = t - 17. Let g(l) = a*v(l) + w(l). What is g(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5)*3\/12*4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/12 - (-74)\/(-60). Let t(u) be the third derivative of 0 - z*u**3 - 1\/50*u**5 + 1\/10*u**4 + 0*u + 1\/600*u**6 - 2*u**2. Factor t(y).\nAnswer: (y - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a - 3*a**3 - 4*a + (-5*a**3 + 0*a + 0*a)*(1 + 1 - 3) + 0*a**2 + 0*a**2 + 3*a**3 + (a**2 + 5*a - 5*a)*(118*a + 4520 - 4520).\nAnswer: 123*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - -1.3. Let f = -4 + 3. Let s = f - t. Which is bigger: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7, -46, -177, -398, -721, -1158?\n\"Answer: -2*v**3 - 27*v**2 + 42*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.924 + -0.076. Put x, -1, -1\/3 in decreasing order.\nAnswer: -1\/3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 480\/(-200) - (-279)\/60?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(1\/4))**(3\/2)*c**(-1\/3)*c**(-1) assuming c is positive.\nAnswer: c**(13\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -8*b + 3*b. Suppose b*i + 0 - 14 = 0. Let x be i\/(7\/5 - 1). Solve 3*f - x*c = 0, -5*f + c + 29 = 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 516512 divided by -112?\nAnswer: -32282\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0\/h*h**(-6))\/(h*h**(1\/3))**(-46))\/((h\/(h**(-6)*h)*h)\/(h*h*h*h*h**(4\/7)\/h*h)*h**(-7)*h*h\/((h\/(h*h**(-1)))\/h)*h) assuming h is positive.\nAnswer: h**(1174\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*y - d, -2*d - 3*d = -4*y - 3. Sort -4, 10, y in decreasing order.\nAnswer: 10, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 6) to base 11.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -127, -126, -125?\n\"Answer: f - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 288271*a**5 + 593*a**2 + 15*a + 11 wrt a.\nAnswer: 17296260*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/22*(2 - (-28)\/(-11)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*u**3 + 55 + 75*u**3 - 23 - 30 - 68*u wrt u?\nAnswer: 468*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13278, 13270, 13258, 13242, 13222, 13198?\nAnswer: 13170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 less than -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + 1*sqrt(252) - (sqrt(252)*-2 + -5))*5.\nAnswer: 26 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4. Let f(i) = i - 3. What is -3*f(l) - 2*z(l)?\nAnswer: -3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + s - 16 = 5*m, -2*m + s = 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106 and 20829?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/9*(13 - 352). Let x = 197 - k. Which is greater: x or -113\/4?\nAnswer: -113\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300 and 40.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12021 and -0.1.\nAnswer: 1202.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2841*o + 24 = 2833*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3bab6 (base 12) in base 14?\nAnswer: 2225c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 2*m + 2. Suppose -23 - 1 = -4*p - 2*b, -3*p + 8 = -b. What is the lowest common multiple of w(p) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 80 = -k. Solve 2*o + g - 2 = -3*o, -5*o + g + k = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + a - 2*a + (3*a - a - 4*a)*(0 - 1 + 2) + (-4 + 0 + 2)*(-a - 6 + 6).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/15, -0.3, 1\/11, -20?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3796763411.\nAnswer: 7, 71, 7639363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 288?\nAnswer: -1\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 512246 (base 11) in base 7?\nAnswer: 6664660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (167\/835)\/((3\/60)\/1). Which is the third smallest value? (a) -3 (b) -0.4 (c) u (d) 238\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -1.6 (c) 0.3 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 146172 or -0.2?\nAnswer: 146172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3383, 3395, 3421, 3467, 3539, 3643, 3785, 3971?\n\"Answer: i**3 + i**2 + 2*i + 3379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135 (base 16) to base 12.\nAnswer: -219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-6)*(-7)\/(7\/2). Put 3, -4, q, 4 in descending order.\nAnswer: 4, 3, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k + 11. Let f(w) = 5*w + 12. Calculate -7*f(d) + 6*p(d).\nAnswer: d - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 4*g - 1824*g**3 - 7 + 1823*g**3 - 13.\nAnswer: -(g - 5)*(g - 2)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -132330 to the nearest one thousand.\nAnswer: -132000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -5*b - 8. Let y(c) = -4*c**2 - 13*c - 4. Let v be y(0). Sort b, 3, -5, v in decreasing order.\nAnswer: 3, v, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 781, 773, 751, 709, 641, 541, 403, 221?\n\"Answer: -n**3 - n**2 + 2*n + 781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67\/210 + 1\/30. Let c = 125.2 + -125. What is the third smallest value in y, 0.4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27.6 * -2\nAnswer: 55.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 26 (b) 0.4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4013025 (base 7) to base 8\nAnswer: -1635675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 379 = 793. Let u = c - 203. What is the remainder when u is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*f - 4 = 45*f. Let g be 10*((-2)\/24)\/(-1). Is f at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16675\/2070*4\/(-55) and -143\/72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 352, -490, 7, -4, -3.\nAnswer: -490, -4, -3, 7, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4395\/368 + 371\/23. Find the common denominator of o and 91\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -434*k**3\/3 - 4619*k**2 + 131. Find the second derivative of y(x) wrt x.\nAnswer: -868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 6*x**2 - 5*x + 6. Let o be n(-5). Let b = o + -4. What is the second derivative of 15*h**2 - 15*h**2 - b*h**4 - 3*h wrt h?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdddrdrdddd. What is prob of sequence drdr?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 9*g**4\/2 - 111*g**3 + 72*g**2 = 0.\nAnswer: 0, 2\/3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*d + 342956 = 0, -2*d - 24279 - 490188 = -3*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -246793, -493585, -740389, -987211, -1234057, -1480933, -1727845, -1974799?\nAnswer: -2221801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -83 + 67. Let n(x) = -126*x + 102. Let l(s) = 42*s - 34. Let u(p) = y*l(p) + 3*n(p). Differentiate u(z) with respect to z.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20721, 2, 3 in decreasing order.\nAnswer: 20721, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 135330 or 135349?\nAnswer: 135330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g - 26. Let m be h(-10). Does 14 divide (4 - m\/(-5))*-175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and 0.14?\nAnswer: 1.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - -63. Suppose -2*c + 3*m = -q, -c - 2*m - 53 = -2*c. Suppose -v + 156 = 138. What is the highest common factor of c and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -438 + 451. Find the third derivative of 20*v**6 + 1 + k - 86*v**6 - v**2 - 133*v**6 - 4 wrt v.\nAnswer: -23880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, v: 10}. Give prob of picking 2 v.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from wccccwcwcc.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 474425\/37716 + (-2)\/8. Let u = g + 2\/449. What is the common denominator of u and 1\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 - (-9 + -27 + 6 + 8)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 - 2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 7 - (-46 + 20)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-3)\/24*1776176\/7162\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a - 21. Determine d(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z + 29. Suppose -5*m - 5 = 0, m + 19 = -3*u - 6. Let k be o(u). Suppose 171 = h - k*w, -2*w - 138 - 36 = -h. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 3:16 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -1. Suppose 0*t - 2*t + o = 0. Suppose -t*y = 3, 3*c = -0*y + 3*y + 240. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 88 = -112. Calculate the remainder when h is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1443411, 2886835, 4330259?\nAnswer: 5773683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 2. Suppose -380 = -5*j + 5*w, 5*j + w - 299 = 57. Suppose -j - 73 = -5*s. Calculate the remainder when s is divided by b(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-583)\/4240*(-195)\/1716\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4511816 to the power of 1\/2, to the nearest integer?\nAnswer: 2124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = -11*d + 1. Let x = d - -76. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**7\/504 + x**6\/72 + x**5\/24 + 5*x**4\/72 - 31*x**3\/6 + 24*x**2 + 2*x. Let v(z) be the first derivative of y(z). Factor v(w).\nAnswer: 5*(w + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**3\/2 - 3*t**2\/2 - 519*t. Let o(i) = i. What is g(o(r))?\nAnswer: 3*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 2*x - 3. Let b be f(4). Suppose 4*v = -b*u + 210, 4*v - 121 = -4*u + 43. Suppose i = -i + u. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*o + 2*d - 139, -3*d = -12. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x - 2*x**2)*(-1 + 2*x + 1)*(-172 - 79 - 276).\nAnswer: 2108*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1815)*1 + sqrt(1815) - sqrt(1815))\/(sqrt(81)\/sqrt(3)).\nAnswer: 11*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 6 - (-35 - -42) - -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 565830 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1349618.9 to the nearest 1000.\nAnswer: 1350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/15 of a hour in seconds?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2.9, -1\/7, -1\/9 in increasing order.\nAnswer: -10, -2.9, -1\/7, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.83 * -0.1.\nAnswer: 0.183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 g, and 1 e when four letters picked without replacement from zlgggegegzzglgl?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 68 = -p - p, -p - 5*h = 46. Let q = p + 62. Calculate the common denominator of 8\/9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2188211.6 rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 37.11207km?\nAnswer: 37112070000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23618 and 15239.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 14 = 4*v - 0*v, 2*i - 2 = 2*v. Let g be (6\/(-8))\/(i\/(-2)). Let j = -0.17 - 0.33. Which is the closest to 1? (a) j (b) -6 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*h - 141 = d, 0 = -4*h + 12. Suppose g + 36 = 4*g. What is the greatest common divisor of d and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**4\/5 - 876*m**3\/5 - 48399*m**2\/5 + 204012*m\/5 - 207468\/5 = 0. Calculate m.\nAnswer: -51, 2, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - 5*h**2 + 16*h**2)*(h**2 - h**2 - h**3) - 3*h**5 + 0*h**5 - 2*h**5 + (5*h**2 - 3*h**2 + 0*h**2)*(-2*h**2 + 2*h**3 + 2*h**2).\nAnswer: -11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -6*m**3 - 5*m**2 - 18*m - 8. Is t(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/(8\/16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -6.4. What is the fourth biggest value in -2, -1, u, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16947, -17993, -19039?\n\"Answer: -1046*u - 15901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b + 0*b + 3*b**3 + 4*b + b**2 - 66 + 55 as s*b + j*b**2 + l*b**3 + t and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1992720 - 0.0665154\nAnswer: -1992720.0665154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 3*g + 10. Is 20 a factor of i(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 5*r**2 + 14*r + 9. Let p be s(10). Suppose -p = -6*t + 449. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 + 39 - 57)*(4*o**3 - o**3 - 5*o**3).\nAnswer: -54*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/3? (a) -2\/3 (b) 0.353 (c) -39 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + ((5499 + -24)\/(-25))\/15.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1185 - -1267. Solve 92*r - k*r = -50 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -13*k - 2. Let f(g) = 2*g + 0 - 5*g + 1 + 10*g. Calculate -11*f(x) - 6*z(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 234*x**5 + 2*x**4 + 2770*x wrt x?\nAnswer: 4680*x**3 + 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85319909?\nAnswer: 85319909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.1 and -0.8964.\nAnswer: 1.2036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 - 46*t + 156.\nAnswer: -2*(t - 3)*(t + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-2)\/(-4) + 1. Suppose -3*d - 2*d = k. Which is the third biggest value? (a) -4 (b) -0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, q: 1, v: 2}. Give prob of sequence ev.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -585, -583, -581, -579?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2 + 2*q - 2. Calculate the smallest common multiple of u(1) and 265.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 2 + 3)*(0 + 0 - 2*l**2) - l**2 + 3*l**2 - 4*l**2)*(2*l + 4*l - 3*l) to h*l**3 + f*l**2 + x*l + n and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13560335 is divided by 5883?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 3. Let r be (-3)\/(-6)*(x - 0). Let b be (3 - (0 + 4))*-12. Solve r = 5*l - 3 - b for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5102.35053 to 1 dp.\nAnswer: -5102.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-374)\/132*(-12)\/51*(-279)\/6\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 + 2 + -2 + 0. Let y(m) = m + 4. Let t be y(a). Let c be t\/9 + 2\/9. Is c != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.7392 rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/(-40))\/(3 - 22\/8). Solve 5*o - 5*v = 20, v = 2*o - c - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12575+143\nAnswer: -12432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17607082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -8382544, 1\/3 in ascending order.\nAnswer: -8382544, -3\/4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (25 - 13) + 17592\/1032\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 18*h**2 + 10870*h - 195697. Calculate m(18).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2002 (base 3) to base 8\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 27 = -3*i, 0 = -34*i + 32*i + 2*q + 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -9, -1\/7, -1\/24?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 385635?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -13*z - 13 - 14*z + 19*z - 3*z**2. Let m be q(-3). Let f be 2\/(2*2*(-4)\/m). Let p(j) = 4*j - 3. Give p(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 4 = -4*d. Let i(k) = -6*k**d + 12*k**2 + 19*k**2. Let n(f) = 76*f**2 - 156*f**2 + 78*f**2. Determine i(n(v)).\nAnswer: 100*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38790 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/((k**(3\/22)*k)\/k)*k**(-4\/15)\/k assuming k is positive.\nAnswer: k**(197\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a centimeter in millimeters?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 182558.61 - 184381. Let b = 1834 + a. What is b rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 2*x + 17 = -3*v, -3*x - 3 = -3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17*252175.\nAnswer: 42869.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**12\/d*d*d*d**(-5) assuming d is positive.\nAnswer: d**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35815 - 35844. Which is the nearest to i? (a) 13\/9 (b) 1\/6 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u = -7*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - 68597?\nAnswer: -685a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 72600514 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - 128341 + 91478*u**2 + 128341 + 2*u.\nAnswer: 91478*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**3*y**5 - 3*l**3*y + 228*l**3 + 3*l**2*y**2 - 699*y**6 wrt y.\nAnswer: 120*l**3*y**2 - 83880*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 5*m + 32, -5*m - 30 = -2*z - 58 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -27. Suppose -4*t = -5*a - 47, 0 = -5*t - 0*t - i*a + 110. Suppose 4*m - 8 = 0, -m = -4*o + 2*m + t. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from xnxnxxnxnxx.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*z**3 + 47482*z**2 - 377353*z wrt z.\nAnswer: -18*z + 94964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 + 120*v**2 - 225*v - 6750.\nAnswer: -5*(v - 15)**2*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)\/x**7)**46\/((x**(-4)\/x*x)\/(x\/x**(-7)))**31 assuming x is positive.\nAnswer: x**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1284, -2499, -3722, -4953, -6192?\n\"Answer: -4*m**2 - 1203*m - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 7*t = -2*t - 170, t = -2. Let l = d - 21. Calculate the remainder when 285 is divided by l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**4\/3 + 35*w**3\/3 + 53*w**2 + 64*w\/3 - 260\/3 = 0.\nAnswer: -10, -13\/2, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 49500 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26177846 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -175533, -351424, -527313, -703200, -879085?\n\"Answer: r**2 - 175894*r + 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91 - -156. Let z = -65 + y. Let 2\/3 - 2\/3*m**4 + z*m**2 - 4\/3*m + 4\/3*m**3 = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -236 by 59.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 0*a**3 - 16 - 5*a**3 - 7*a**2 + 2*a**3 - 7*a - a**3. Let l(f) = f**3 + 2*f**2 + 2*f + 5. Let n = -374 + 381. Calculate n*l(y) + 2*v(y).\nAnswer: -y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 90\/12*(68\/12 - 3). Suppose -g*o + 1408 - 448 = 0. Suppose -34*k + 35*k - o = 0. Calculate the highest common factor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -159.9 + 129.9\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 4*t**2 - 3*t + 4. Let v be i(3). Solve -a - 23 = 5*n, v*a = a + 5*n + 31 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75b (base 16) to base 14\nAnswer: -987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28.399943 - -28.4. What is a rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 2*a**3\/3 - 2*a**2 + 4*a - 1. Calculate the remainder when 38 is divided by q(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10234 - 226?\nAnswer: -1045a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = u, 3*u - 15 = 3*v. Does 7 divide (-3)\/v - 167\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 1025*p**2 + 30*p - 30. Let o be c(1). Suppose o = 4*t + 305. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d + d + 5*d + (0 - 5 + 3)*(-2*d + 0*d + d) + 2*d - 4*d + d - 4 - d + 4 + (-4*d - 2*d + 4*d)*(-3 + 5 + 0) - 3*d + d + 4*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-6) - 12\/(-144))\/3. Solve 1\/2*h**3 + 0 - 1\/2*h - p*h**4 + 1\/4*h**2 = 0 for h.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (0 + (-1590)\/9)*(3 + (-72)\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 3*i + 4. Let w(q) = 3*q**2 - 4*q + 2. Let a be w(2). Let h be (a\/5)\/((-4)\/10). What is x(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*u - 10*u + 125 - 26*u)*((0 - 2 + 0)*(2 - 2 + u) + 1 - 1 + 3*u)*(-2*u - 2*u + 5*u).\nAnswer: u**3 + 125*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 8*n**2 + 7*n + 8. Suppose -5*p - 631 = 8*g - 4*g, 4*p = 4*g + 640. Let r = -166 - g. Determine u(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**2)**(-49) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -54 divided by 2534\nAnswer: -27\/1267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 + -121 - (-10 + -4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11919, -47739, -107457, -191073, -298587, -429999?\nAnswer: -585309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 73*k**4 - 2*k**3 + 7*k**2 - 1239. Let u(o) = -36*o**4 + o**3 - 4*o**2 + 619. Let f(w) = -4*l(w) - 7*u(w). Differentiate f(d) wrt d.\nAnswer: -160*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -14 (b) 38 (c) 6 (d) 5 (e) -0.39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 5*y - 11. Let z(c) = 4*c**2 + 14*c - 32. Let g(i) = -14*r(i) + 5*z(i). Let p be g(4). Calculate the highest common divisor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10636081, -10636237, -10636393, -10636549, -10636705, -10636861?\nAnswer: -10637017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009689 to six dps.\nAnswer: 0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 693 and 103334?\nAnswer: 930006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 - l**2 - l + 1. Let o be z(1). Let b(j) = 8*j**2. Let x be b(o). Let s = x + -5. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75060 a multiple of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqewq. Give prob of sequence eqkq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o + 3*o**2 - 10*o**3 + 5 - 7*o**3 + 3 - 3*o + 18*o**3. Let q be j(-4). Which is the third biggest value? (a) -5 (b) -1 (c) q (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzn when four letters picked without replacement from {z: 4, y: 5, n: 7}?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 16*k - 275 = -v, -2*v - k + 550 = 0. Suppose -9*z + 257 = v. Sort 6, z, 4, 18 in increasing order.\nAnswer: z, 4, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/7 and -19 - -2 - 764616\/(-44784)?\nAnswer: 13062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3767043t to grams.\nAnswer: 376704.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -33*o**6\/20 - 979*o**5\/60 + 154*o**2. Find the third derivative of f(y) wrt y.\nAnswer: -1188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 76 = 72. Sort a, -4, 5 in decreasing order.\nAnswer: 5, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14, 59, 142, 281, 494, 799, 1214, 1757?\n\"Answer: 3*z**3 + z**2 + 21*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 572 + -572.0433. Let k = m - -0.4433. Sort 0, 60, 0.1, k in ascending order.\nAnswer: 0, 0.1, k, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95866769 + 2492?\nAnswer: -95864277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 1\/3*w**3 + 6 - 1\/2*w**2 - 4*w. Let u(z) be the first derivative of v(z). Determine u(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.5, 9, 0.8066 in increasing order.\nAnswer: -0.5, -0.1, 0.8066, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3325 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(2\/23)*l))\/(l**(-5\/2)*l*l*l)*(l\/(((l\/(l\/(l*(l*l*l**(-1)*l)\/l)))\/l*l*l*l)\/l))**(1\/15)*(l**0*l**10)**(1\/30) assuming l is positive.\nAnswer: l**(-89\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -10*x**3 + 4*x**2 - x - 2. Is w(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -89, -220, -415, -680?\nAnswer: -1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 14.9\nAnswer: -11.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 624180 divided by 312090\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-5) - (-14)\/5. Let t = l + 29. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 - 0 - 4 - 3. Let d be (-3 - -7 - 0) + j. Is d equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1216 = -77*a + 523 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13657, 14142, 14951, 16084?\nAnswer: 17541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, -0.5, -4, -5, 5\/6, 32, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlckskp. What is prob of picking 1 c and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 1757 = -4*o - 1769, -330 = 63*o + o - 5*z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.13, -2, -0.3, 1, -0.006?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 - 3*m - 3. Let l(r) = 2*r**2 + 2*r + 2. Let j(q) = 3*l(q) + 2*y(q). Let a(v) = v. Determine a(j(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 22964.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -274 in 1, 1\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 plus -165?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 29*x + 108. Determine s(25).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3663 by -99.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9346\/(-170))\/(-1) - (-86152)\/3661460?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 867109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 41*c**6\/10 - c**3\/6 - 247*c**2 + 3*c - 67. Find the first derivative of b(s) wrt s.\nAnswer: 492*s**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104 and 64.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -5*s - 5, -2*s - n = s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.25 + 0.35. Let q = -0.15 - u. Let y = q + -0.15. Which is smaller: y or 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 >= 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 21. Let u(r) = -5*r - 14. Suppose 4 = -l - 2. Let m be u(l). Solve -4 = x*d - m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 n when four letters picked without replacement from fnnwqyfnywnqyy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -37*v. Let s be n(3). Let p(f) = -f**3 - 10*f**2 + 8*f + 7. Let r be p(-12). Let j = s + r. Is j a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 1\/21. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97, -0.4, 0.4, -5, -14.\nAnswer: -97, -14, -5, -0.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**2 - 2*f**2 + f**2 + (-2*f + f - f)*(-f + 4*f + 3*f) - 15*f**2 + 12*f**2 - 21*f**2 to the form i + t*f**2 + z*f and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3879 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 31*y**2 + 463*y + 52. Calculate s(-15).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -44. Let j be (-2 + -2)\/20*d. Let w = 426 + -428. What is the closest to -1\/16 in -5, w, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 9*q**3 - 7*q**2 - 15*q - 8. Is f(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**5\/30 + c**4\/12 + 2*c**3\/3 - 2*c**2. Calculate y(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aacallqaacccvacaccvc. What is prob of picking 1 q and 2 l?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 44 = 361. Let w be 2\/6 + (-322)\/(-6). Calculate the greatest common divisor of w and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*w - m, -4*w - 3*m = -2*m - 16. Let t(v) = v**3 - 5*v**2 + 4*v - 5. Calculate t(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 31 = 4*d, z + d = -2*d + 32. Suppose 3*h - z + 2 = 0. Let a = h - 2. Solve 5 = -v + a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1025*v - 1014. List the prime factors of y(-7).\nAnswer: 61, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 4*q**2 - 2*q - 3. Let f be (-3)\/((-6)\/(-14)) + 3. Calculate t(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-0.0032.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880) + -1 - (4 + sqrt(320) + sqrt(20) - sqrt(20)))**2.\nAnswer: -160*sqrt(5) + 1305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -914202 divided by 50789\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -4*w - 12, 4*c + 2*w = -3*w - 36 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 0. Suppose -b*s + 19 = 79. Let c be (16\/s)\/(2\/(-15)). Solve 5*a = 4*x - 21, -4*x - c*a + 11 = -a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -414, -829, -1266, -1737, -2254, -2829, -3474, -4201?\n\"Answer: -2*q**3 + q**2 - 404*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6833 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 116581 - 4025?\nAnswer: 112556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 713*c**3 + 1957*c**3 - 739*c**3.\nAnswer: 1931*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*s - 4*s, 0 = -4*d + 4*s - 376. Let v = 99 + d. Suppose -4*f = -0*f. Put -4, f, v, -5 in ascending order.\nAnswer: -5, -4, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -146 - 4?\nAnswer: -14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.496 + -3.496. Which is the closest to 1? (a) u (b) 0 (c) 0.1 (d) 2\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/55 and 62\/2425?\nAnswer: 26675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.12, 0.3, 6, 63?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 328845579 to the power of 1\/2, to the nearest integer?\nAnswer: 18134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 76365 (base 8) in base 14?\nAnswer: b92d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 20 = 2*t, -3*x = -t + 18 - 8. Suppose -3 = s - 2*s. Suppose 0*d - 12 = -s*d. Calculate the remainder when t is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1252 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 2*b + 2. Let s be d(3). Let x(h) be the second derivative of -h**5\/20 + h**4\/4 + 7*h**3\/6 - 7*h**2\/2 - 4906*h. Determine x(s).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69*v + 13*v - 35*v)*(-3 + 1 - 8)*(-2*v + 9*v - 3*v).\nAnswer: 3640*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56707359?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2 + 2. Let r = s + 11. Let l be (r\/75)\/((-4)\/(-3)). Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 72*q**2. Let x(i) = -14*i**2 + 2*i**2 + 10*i**2. Calculate r(x(h)).\nAnswer: 288*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/10 - (-68)\/(-140). Is c bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(190)*-2 - sqrt(190)) + sqrt(190)) - ((sqrt(190)*-2*6 - sqrt(190)) + sqrt(190)))\/(sqrt(20)\/(sqrt(2) - sqrt(8)*-4)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, -19, -35, -84, 3, -1 in increasing order.\nAnswer: -84, -35, -19, -6, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -2413 and 609.21.\nAnswer: -1803.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - 33*a + 33*a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24480 and 324000.\nAnswer: 5508000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13945, 0.5, 1\/7?\nAnswer: 13945","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 1:24 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 232770748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205566 is divided by 102.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-104)\/14 - 20*(-1)\/(-35). Let h be 2\/(-6) + (480\/(-45))\/x. Which is the second smallest value? (a) -29 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -671638 - -1.\nAnswer: -671637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/18 and 37\/27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113*u + 308*u - 74*u - 26*u)*(u - 2*u + 0*u + (7*u - 3*u - 2*u)*(-4 + 3 + 0)).\nAnswer: -963*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.5 and 48?\nAnswer: 46.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 16*g**2 + 17*g + 33. What is the lowest common multiple of p(-17) and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -49738029*s**2 + 84652833 wrt s?\nAnswer: -99476058*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6910022.\nAnswer: 2, 7, 493573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11658*b + 46653 - 46653.\nAnswer: 11658*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -210 + 224. Calculate the lowest common multiple of 254 and x.\nAnswer: 1778","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001287431 rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 293 - 310 = -3*s, 4*s = -4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -562 + 0?\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 3*k**5\/20 - 5*k**4\/12 - 5*k**3\/6 - k**2\/2 + 241*k. Let i(p) = 2*p**3 - 3*p**2 - 3*p - 1. What is -5*i(j) + 3*q(j)?\nAnswer: -j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 5, 17\/2, -2, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 3*p - 5, 3*u - p + 9 = 2*p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 8*u**2 + 9*u - 2. Let q be z(-9). Calculate the lowest common multiple of 20 and (-4 - (5 - 10))*(24 - q).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - -2)*4\/(-10). Suppose -t*q + 20 = 2*q. Let r = -3 + 5. Solve -q*y - k = 13, r*y = -0*k + k - 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 442 (base 9) to base 10.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -20302451?\nAnswer: 20302452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12 - 1)*(6 - 3)\/(-3). Suppose -5*g + 5 = 0, -c + 3*g = -11 + 1. Calculate the greatest common divisor of s and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83920744717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**2 + 2*r + 3. Let l(w) = -7*w**2 - 4*w - 5. Let s(t) = 3*l(t) + 5*p(t). Let k be s(-2). Let i be 0\/(-2 - (k - 0)). Solve -3*j + i = -6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -921.02 * -0.0486.\nAnswer: 44.761572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213966 is divided by 213089.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/792204 and -169\/3168816.\nAnswer: 3168816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 197, 1552, 5173, 12176, 23677?\n\"Answer: 186*p**3 + 17*p**2 + 2*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1020)\/(-2550)*(-1)\/2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(13)*-5 - (2*(-1 + sqrt(13)))**2.\nAnswer: -56 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002836 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/2 and 41\/142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 j, and 1 c when four letters picked without replacement from {o: 1, s: 2, c: 1, r: 1, a: 1, j: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2156*s + 12985. Determine a(6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*l*p**2*y + 80*l*p*v*y - 2*l*v + 2*l - 16117*p**3*v*y - p**3*y - 41*p**3 - 2*p + 8*y wrt v.\nAnswer: 80*l*p*y - 2*l - 16117*p**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -50*n - 60 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/4*(-2)\/(-2). Solve u*i - 11 = 9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350780 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -996.71 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8\/1965 + -486919\/1965. Let u = -248 - i. Which is greater: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3 - 4)*(7 - 7 + 3*p**2).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/342 and 91\/1026.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*4\/(12\/(-747))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 5*z - 5. Let q = -61 + 55. Determine f(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21226 times -9\nAnswer: 1.91034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -34, 2, 92, 254?\nAnswer: 506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3386 is divided by 374.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 12) + 1 - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92994173?\nAnswer: 92994173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1575711013.85 - -0.5.\nAnswer: 1575711014.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35993105339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.35204 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -606, -1592, -3134, -5508, -8990, -13856, -20382, -28844?\nAnswer: -39518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 8 + 20. Suppose 13 = -w + 5*k, -3*w - 4*k + 25 = -y*k. Suppose 0*q + w = q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*t*y**2 + 323*b*t*y - 860*b*t + 17*b*y**2 - 3092095*y**2 + y wrt y?\nAnswer: -2*b*t + 34*b - 6184190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 3, -4\/45 in increasing order.\nAnswer: -4\/45, -0.01, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 19*f + 4. Let n(d) = -d**3 - 7*d**2 - 3*d - 1. Let z be n(-5). Let x = -17 - z. Let s be q(x). Let u(i) = -i**3 + 4*i**2 - i + 3. Give u(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(s**(1\/4)*s))\/s**(2\/25))\/(s**12*s**(4\/7)))**27)**(-2\/87) assuming s is positive.\nAnswer: s**(81279\/10150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-20)\/30)\/((-4)\/54)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5498 is divided by (3 + (-403)\/91)\/(3\/(-231))?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28a7 (base 14) to base 4.\nAnswer: -1300203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 = -6*v - 116 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/3924930 and 139\/784986.\nAnswer: 3924930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6707*a**3 + 16*a**2 - 26*a. Let i(k) = -2236*k**3 - 5*k**2 + 8*k. Give 4*d(g) + 13*i(g).\nAnswer: -2240*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13786481958768 plus -1.7?\nAnswer: -13786481958769.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001973845 rounded to 6 decimal places?\nAnswer: -0.000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126567.\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**8\/60480 + i**7\/15120 + i**5\/20 + i**2. Let u(j) be the third derivative of p(j). Factor u(t).\nAnswer: -t*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4779)\/7080)\/(9\/(-30)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28341415 + 28341415 + 7*u**2.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2385376 divided by 16.\nAnswer: -149086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(sqrt(7)*1) + (-1*sqrt(14))\/sqrt(2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -5, -67, 15, 136 in ascending order.\nAnswer: -67, -5, -3, 4, 15, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 - 10*z + 18*z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqvqqvzvvqqq. Give prob of sequence qzq.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*z - 4. Suppose -3*y + 23 = z*h, h - 19 = -5*y + 4*h. Solve -12 = 3*m - 4*k + 3, m = -y*k + 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8233 smaller than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, r: 3, q: 6}. Give prob of picking 2 l and 1 r.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91132882 is divided by 4425.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/15 + (-161)\/(-2940)*7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5699524325 a multiple of 517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(1872))*-2 - (sqrt(1872) - 1*2*sqrt(1872)))*1)**2.\nAnswer: 96*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4080205022 to the power of 1\/4, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/282 - -2251\/1410. Factor 2\/5*g**4 + 8\/5 + f*g - 6\/5*g**2 - 4\/5*g**3.\nAnswer: 2*(g - 2)**2*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**4\/8 - 7*l**3\/6 + 3*l**2. What is the tens digit of o(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46114 (base 9) in base 2?\nAnswer: 111011111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 846\/1407 + 0 + 156\/(-273). Which is the second smallest value? (a) -2 (b) 2 (c) 1\/5 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 349 + 176 = -173. Let d(v) = -v**2 - v. Let w be d(-3). Which is bigger: u or w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9095 + -9090. Sort 102, b, 4\/15 in decreasing order.\nAnswer: 102, b, 4\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r**2 + 8. Let i = 887178 + -887186. Let n(o) = -4*o**2 - 5. Suppose -d - 20 = 3*d. Calculate d*c(g) + i*n(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1bb54 + -24aa?\nAnswer: -21331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 + -46. Suppose -c*x - s = 248500000, -4*s = -0*x - 5*x - 248500000. What is x rounded to the nearest 1000000?\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2.6, -1\/4, -240, -6\/83 in descending order.\nAnswer: -6\/83, -1\/4, -2.6, -3, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -49\/11 at most -3.41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o**2 + 2*o - 1. Let m be s(1). Let a be 102\/14 - 10\/35. Suppose 0 = 3*w - y - 5, -3*w + 4*y + a = 5*y. Sort m, w, 5 in decreasing order.\nAnswer: 5, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006705929 to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 837 - 842. Solve -2 = -4*z + x*r, z + 2*r = 3*r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(((-3)\/(-1143))\/(2\/3)). Suppose -3*n + n + z = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 26, 22, 20, 20?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.325 - 1.625. Let h = 42544740 + -42544741.29999955. Let b = v - h. What is b rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -405 or -403?\nAnswer: -405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6*s - 39. Let o(b) = -2*b**2 - b - 1. Let n(j) = -5*o(j) + t(j). What is the hundreds digit of n(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4590 divide 660608676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-7)\/(112\/(-4)))\/(17\/16). Put 13, l, 3\/5 in increasing order.\nAnswer: l, 3\/5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4472647 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/(-16905)*70)\/((450\/21)\/3)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8))**29 assuming x is positive.\nAnswer: x**(-232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 q, and 2 m when four letters picked without replacement from qjqqqmaqm?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 38, 10, -36, -106?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 67*t**2 + t - 5. What is the hundreds digit of b(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**4\/6 - c**2\/2 - 3*c + 1. Let x(o) = o**2 - 140*o - 3. Let m(z) = -3*s(z) + x(z). Solve m(b) = 0.\nAnswer: -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 7 - 65. Let u = y + -24. Solve d + g + u = 0, -g = -5*g - 16 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 163 - 67. Suppose -49*s - c = -53*s. What is the highest common factor of 144 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 759 = 159. Round t to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22818349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*d - 4. Solve -7*c = -8*c + d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 25.5, 1\/3, 1, -5, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttgtttgtgtttttttgtt. What is prob of picking 1 g and 3 t?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160801 and 2406.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1945357990 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: Let t(a) = 2*a + 19. Let r(c) = -c**2 - 12*c - 8. Let n be r(-12). Let j be t(n). Solve -j = s - 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 7 + 11 - 3*o - 3. Determine i(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*i - 27*i + 1918. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4\/11 - 46*v**3\/11 - 118*v**2\/11 + 46*v\/11 + 120\/11 = 0. Calculate v.\nAnswer: -20, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41.885*-2.\nAnswer: -83.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**2 + 28*w + 76. What is the units digit of r(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -65 (c) 0.05 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 55 = y - 3*f, -5*y - 30 = 2*f. Let c be 1\/((-4)\/(-144))*(-2)\/y. Is 9 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*s + 290319 = -34*s. What is the hundreds digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4027 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1607?\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -59*p + 201. Let y be x(6). Let k = -307\/2 - y. Let g = 0.2 + -2.2. What is the fourth biggest value in k, 2\/7, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/59 in 0.0337, -2\/281, -2?\nAnswer: -2\/281","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -16 + (40 - 0) - 16.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16\/1 + ((-8)\/4 - -5) and 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 5*m + 10, 3*m - 20 = 4*y - 2*m. Suppose -2*g + g + 3*q = -11, -4*g - 1 = -3*q. Sort g, -3, y in decreasing order.\nAnswer: -3, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*3\/30)\/((-20)\/(-10))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 174415.566 to the nearest ten.\nAnswer: 174420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.33? (a) 4 (b) -80 (c) 0.1 (d) -2 (e) -0.5 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w - 214 = -114 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 39. Let x = i - 21. What is the tens digit of 1 - x*388\/8 - 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2580\/74969 + -2\/1229. Let w = -3 - -3. Which is bigger: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63.932 + 64. Let z = 58.932 + m. Let k = -61 + z. Which is the closest to k? (a) -2\/9 (b) -2 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.417782kg in grams?\nAnswer: 417.782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006537746 rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - 53 - (29 + -107).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 8*c**2 + 2*c + 2. Let z be w(8). Let y be ((-5)\/3)\/((-6)\/z). Solve 5*x = -3*a - 3 - 16, -x = -y*a + 15 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 70*b**3 + 1. Let q be n(1). Let k = 21 + 61. Let c = k + q. Does 35 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 266827406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/942 and 47\/1884?\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12047\/4, 0.45, -20?\nAnswer: -12047\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 127770813983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2151823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/2)\/((-75)\/250). Suppose 3*l - r = 1444, 25*r - 22*r = c*l - 2408. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 45890 = 21*f - 327680. What are the prime factors of f?\nAnswer: 2, 3, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566739535 a multiple of 792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-153)\/(-85) - (1 + 1)) + 740\/(-1600)*-8?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddnddn. Give prob of sequence ddn.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3875 - 3875. Solve 2*m - 3*j + 10 = c, -4*m - j + 35 = 41 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c = 16378 - 16102 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5249128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(396) + 1) + 3 + ((sqrt(132)\/sqrt(4)*-3)\/(sqrt(30)\/(sqrt(10)*-2)))**2.\nAnswer: -36*sqrt(11) + 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((6 - 3) + 3 - (9 - -4))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6587295*c*p**3 - c*p - 208*c + p**3 + 245*p**2 wrt p.\nAnswer: 39523770*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/55 and 24\/25?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o - 1. Let c be q(-1). Suppose 0 = 5*x - 8 + c. What are the prime factors of (13 - 4)*(x - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -2. Let h = 3 - w. Suppose t - 2*t + 12 = h. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - m + 15. Calculate the lowest common multiple of 9 and j(7).\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18832\/1716 + -45 + 34?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00028861128 to 6 decimal places.\nAnswer: -0.000289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3595452 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -36272 (base 11) in base 4?\nAnswer: -30300012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20135, -20192, -20305, -20498, -20795?\nAnswer: -21220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frswcvvssfcffcfcfv. What is prob of picking 2 s?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23240085?\nAnswer: 3, 5, 11, 61, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c - 2. Let t be z(-2). Let o(f) = -f + 10. Let j be o(t). Suppose 0 = -2*n - 5*r - 1, -2*r + j = 2. Solve n*h = -h + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 6*j**2 + 3*j + 2. Let l be m(-1). Suppose -l*y = -3*a - 7694, -296 = y + a - 1830. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 78*l**2 + 19*l - 306. Let p be u(74). Round p to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*-4*(-5 + sqrt(65)\/sqrt(5)*-6).\nAnswer: -72*sqrt(13) - 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -15*w + 63. Let t be p(4). Suppose 3*b + 4*y - 285 = t*y, -2*y - 370 = -4*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -96 + 100. Suppose -5*s + 3*w + 51 = 0, 0 = t*s - 6*s - 4*w + 36. Solve 2*k = 3*c - 9, -2*k + 1 = -5*c + s for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1137\/32 and -35 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2 + 5848018*g + 8549828632081 = 0. What is g?\nAnswer: -2924009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5746*j + 5949*j - 4406*j.\nAnswer: 7289*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b = 6*b - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 6*z = -z - 74, 456*l - 3*z + 46 = 454*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/n**(-4)*n*n*n*n*n**(-2\/3)*n*n**(-5)\/(n**(-4)*n) assuming n is positive.\nAnswer: n**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -5*u**4\/24 + 3*u**2. Let a(z) be the first derivative of 2*z**2 + 39. Give n(a(x)).\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1, 8, 21, 40, 65, 96, 133?\n\"Answer: 3*j**2 - 2*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -270665 or -1894647\/7?\nAnswer: -270665","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 8164\/9 + -908. Is c bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -0*l. Let q(r) be the first derivative of -4*r**2 + 2*r + 4. Let n be q(-3). Solve -u = 4*z - 3*u + n, -4*u + 12 = l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -27 + -27 + 35 - (1 + 9)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -2.23 (c) -19586\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011010110 (base 2) to base 10.\nAnswer: -1750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 2*j**2 + j - 4. Let m be c(-3). Suppose -14*d + 712 = -1178. Let k be 5 - (7\/(-9) + (-30)\/d). Solve 0 = m*r - 5*r - k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*p + 218 = 0, -3*h - p + 357 = 109. Let r = 79 - h. Let d be (24\/112)\/(r\/21*6). Which is the nearest to 1? (a) 0 (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 26135*b - 314340.\nAnswer: 5*(b - 5239)*(b + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2367 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 597*g**4 - 527*g**2 wrt g.\nAnswer: 14328*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.1 (b) -16 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 3*j - 6, 4*j = 4*g - 3*g + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**6\/120 + x**5\/20 - x**4\/8 - x**3\/2 - 7*x**2. Determine c(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 15, -j = -20*c + 18*c + 3. Solve c = 4*d - 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13213 by -2334.\nAnswer: -13213\/2334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -23*o + 1147. What is l(24)?\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -35882*x - 4 + 35882*x + 6*x**2 - 11. Let m(c) = 26*c. What is k(m(g))?\nAnswer: 4056*g**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*r + 0*r + 672 + 73 - 1642 = 0 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence egg when three letters picked without replacement from {g: 4, e: 7}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3735*v - 480*v + 319*v = -164404 for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - 12. What is the tens digit of (3 - 1)*g\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4209, 4210, 4211, 4212, 4213?\nAnswer: 4214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13b134 (base 12) to base 2.\nAnswer: 1010000100111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/(((j**(-1)*j)\/j)\/j)))**(-2\/37)*j\/j**(3\/7)*j*(((j**(-2\/15)\/j)\/j)\/j*j)\/j assuming j is positive.\nAnswer: j**(-5438\/3885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1421.07 + -1357.8. Let p = g - 63. What is p rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, i: 7, s: 1}. What is prob of picking 3 i and 1 p?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2727 is divided by 151?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-7))\/(21\/(-49)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 574, 1113, 1622, 2095, 2526, 2909, 3238?\nAnswer: 3507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 560*n + 8621. What is f(15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**3 + 10*c**2 - 17*c - 8. Let o be z(14). Suppose 0*m - o = 5*w - m, -w = 5*m + 2010. Round w to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7819 + 7868. Calculate the highest common divisor of b and 2842.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 107 + 15. Suppose -2502 + m = -7*j. What is j rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 113162 + -5?\nAnswer: 113154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31.61 and 0.06?\nAnswer: 1.8966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (10 - (-17039)\/55)*(4 + 1) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2*z - 21225 - 4028, -4*k - 5*z = -100934. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -4094812?\nAnswer: -4094811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 + 5*s + 6. Let o(d) = -10*d**2 + 2*d - 1. Let h be o(1). Is p(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 3 = -11. Let x(z) = -3*z + z**3 + 2*z - z**f - 1 + 0*z. Let c(h) = 5*h**3 - 8*h + 3. Let t(d) = -c(d) + 6*x(d). Give t(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7177 by -1.\nAnswer: -7177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 34 - ((-180)\/(-15))\/(15\/15)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 + r - 1. Calculate u(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k - 6 = -60 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 3 (b) 12.6 (c) -1\/7 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g - 7. Let p(n) = n**3 - 4*n**2 - 6*n + 5. Let r be p(5). Suppose j + j - a + 15 = r, -3*a = -9. Is c(j) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230 + 161 = -18*i - 429 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2. Let k(f) = -221*f + 609*f - 205*f - 201*f. What is k(d(g))?\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 42\/5 of a hour?\nAnswer: 30240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -265931*y**5 - 26418*y.\nAnswer: -5318620*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -n + m - 60, n = -5*m - 20. Let p = n + 43. Suppose -24 = -11*t - 2. Solve -4 = 2*z, -p*z - 4 = -w - t*z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3776 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19103\/4 + 4745. Let n = -31 - u. Which is the closest to -1? (a) 3 (b) n (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*s - 93*s = -5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5030.\nAnswer: 2, 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2378 + 2262 = -3*z, -5*z - m + 86 = 0. Suppose 2*p - p - 346 = -2*o, 0 = 3*p + 3*o - 1029. Calculate the greatest common divisor of p and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 4:12 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/(u\/(u**(-16)\/u)))\/u)**(-24) assuming u is positive.\nAnswer: u**408","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -220012000011012?\nAnswer: -220012000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -34*a - 8. Let d be b(-2). What is the greatest common divisor of d and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 877 = -1185. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 - 170013*t**2 + 2550708*t - 9183132.\nAnswer: -3*(t - 9)*(t - 6)*(t + 56686)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -12*x**2 - 62*x - 38. Give o(-6).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7161005.\nAnswer: 5, 19, 43, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 17*z**2 - 5. Suppose -d + 7 = -2*y, -2 = y - 1. Let f(x) = 42*x**2 - 12. Calculate d*f(b) - 12*l(b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004972821 to 7 decimal places.\nAnswer: -0.0000497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/20*(-12)\/(-28)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4578, -0.06, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.28 - 11.28. Let x = n + 6. Let l = -8.5 + 8. What is the smallest value in l, -0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -179*o + 724. Give l(6).\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 1 - 9 = 0. Let b(i) = -27*i**2 + 17*i**s + 8*i**2. Let d(l) = -4*l**2 + 4*l**2 + 5*l**2. Give d(b(g)).\nAnswer: 20*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -472 + -2085?\nAnswer: -2557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 e, and 1 g when three letters picked without replacement from {s: 1, e: 1, w: 1, g: 2, i: 1, b: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 7, r: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 12*h**2 + 2*h + 15. Let q = 20 + -8. Let u be p(q). Let x = u + -33. Let o(a) = -a**2 + 7*a. Give o(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/3)*o)**(11\/3)\/((o\/(o**1\/o))\/o**(-6)))**40 assuming o is positive.\nAnswer: o**(-320\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/5 + (-22)\/(-10). Suppose 4*w - 3*w = 0. Suppose d*s + w*v + 2*v = 6, -4*v = 5*s - 15. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 387, 5, 2, 11, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -25*f + 154. Let q be z(6). Let j(n) be the first derivative of -2\/21*n**3 + 0*n - q + 3\/7*n**2. Factor j(a).\nAnswer: -2*a*(a - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v - 30. Let h be d(12). Let k = 1 - 0. Let n(z) = 6*z. Let w be n(k). What is the greatest common factor of w and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + c - 17 - 6 = 0, 18466*c = 3*l + 18402*c - 278 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 10*m**3 - 4. Let a(l) = 20*l**3 - 9. What is -4*a(j) + 9*x(j)?\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 214 = 4*i, -2*n - 3*i = -4*n + 137. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 929 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14784 or -14786?\nAnswer: -14786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 8 = -27. Let p(x) = x**3 + 7*x**2 - 12*x - 13. Calculate the remainder when p(w) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -3)\/((-117)\/2691)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 304 + 856 = 0. What are the prime factors of k?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 254515555 to the nearest integer?\nAnswer: 15954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 + -a06b5?\nAnswer: -a069b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 2) + 18 + 2 + -33\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33825698?\nAnswer: 2, 359, 47111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 4:11 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 81398 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 119 and 1184492?\nAnswer: 8291444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -971932 - 1.4428.\nAnswer: -971933.4428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 86*a*f**3 + 16*f**3 - 1 wrt a.\nAnswer: 86*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72301.65 millimeters in nanometers?\nAnswer: 72301650000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1327558.35 - 109916.35. Let d = a + 1437474.87499807. Let q = d + -0.175. What is q rounded to seven dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7733 + -1203. List the prime factors of g.\nAnswer: 2, 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10556469?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2352 and 220108?\nAnswer: 2641296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 26 = 3*w + 3*x, 0 = -4*x + 8. What is the biggest value in 1\/4, 2\/7, w, -2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12617 is divided by 4196.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 times 0.2?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/3)\/((-3)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 219 or 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4452387 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: What is 5461.2 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, f: 9, x: 4}. Give prob of picking 1 x and 1 f.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**4 + 0*p**4 + 3*p**4 + (-3*p - p + 5*p)*(124 - 68*p - 124)*(3*p**2 - 6*p**2 - 22*p**2) to w*p**2 + n*p**4 + q*p + t + a*p**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 8*g + 2. Calculate the lowest common multiple of 2 and i(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4521, -18054, -40585, -72096, -112569?\n\"Answer: 3*y**3 - 4517*y**2 - 3*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3320 - -3332 - (-146)\/(-2)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gccggccgcccccccccccc. What is prob of picking 2 g and 2 c?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16, -15, 117, 0.5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2.872*-14885\nAnswer: 42749.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 4. Suppose -14*o = -12*o - 6. What is n(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 379413103500990.8000097 - 379413122335013. Let x = 18834023 + r. Let y = 0.8 - x. Round y to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 202022232 + -4312?\nAnswer: 202012420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 89, 32, -63, -196, -367, -576?\n\"Answer: -19*v**2 + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 101 = -71. Suppose -4*g + 6 = 4*x - 2, -5*x - u = 0. Let j(b) = -5*b - 1. Let i be j(-1). Solve -5*s = -i*r + g, -r + 5*s - 2 = s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 3*x - 13 - 4, 35*t = 5*x - 195 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-99)\/2*(-6)\/9. Let r be 1479\/l - 8\/(-44). Suppose 19 + r = 4*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*j*y**4 + 28*j*y - 25*j + 2*y**3 - 1 wrt y?\nAnswer: 12*j*y**3 + 28*j + 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**3 - 11*o**2 + 7*o - 5. Let x(j) = 3*j**3 - 6*j**2 + 4*j - 3. Give -6*s(d) + 11*x(d).\nAnswer: -3*d**3 + 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/6)\/(1\/(-6)). Suppose -3*l**2 - z*l**3 + 3*l - 3*l**2 + 0*l**2 + 8 - 2 = 0. Calculate l.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 83010.02ms?\nAnswer: 83.01002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p + p + 5*p + 0*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 12417*r**2 + 1.\nAnswer: 12417*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.2, 0.12, -0.8, 1341.4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1186290 and 23310.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/30172744?\nAnswer: -5\/30172744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + g + 10 = 0. Let h(m) = -m**2 + 8*m - 2. Let u be h(6). Let t = u - g. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u - 3. Let z be b(-8). Let c(n) = -2*n**2 - 21*n - 52. Let t be c(-5). Solve -t = -z*h + 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 123652*w**2 - 2*w + 3. Let p be y(-10). Let t = p + -6465223. Round t to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 365, 846, 1437, 2138, 2949, 3870, 4901?\n\"Answer: 55*w**2 + 316*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 2933.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6398501?\nAnswer: 41, 156061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2237107.\nAnswer: 2237107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5643092 divided by 1\nAnswer: 5643092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkrrrjokrjorrkrkjrrk. What is prob of picking 1 j and 2 k?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 0)*3 + -10*(-1)\/5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvv when three letters picked without replacement from pvpppvpppp?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*i + 536 = 182*i - 712 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 18.94?\nAnswer: 21.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (47 + -31 + 16).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1421297 and -23222464.\nAnswer: -24643761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 7:43 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 9. Suppose 0 = 5*u + 5 - 30. Suppose -u = q - 0. Put 5, x, q in ascending order.\nAnswer: q, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5735*q**2 + 30*q + 67.\nAnswer: -11470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-12))\/(275\/1650))\/(64\/120)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8657\/5 - -1731. What is the closest to u in 0.8, -15, 0.3, 1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132 + 138. Does 18 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 15819*o**2 + 79104*o + 7. Calculate m(-5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2184200 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 503775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 0.166, 2\/5, -446?\nAnswer: -446","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -2 (b) -0.1 (c) -6 (d) -81 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-39)\/(-52))\/((-3)\/(-8)). Suppose 0 = y*l - 13 - 9. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1377 and 347652.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63653861 to the power of 1\/2, to the nearest integer?\nAnswer: 7978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 365389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + r = -2*a + 5, -5*r = -a - 20. Suppose -13 = 5*h - 6*h + 2*t, -4*h - a*t - 13 = 0. Let b(q) = -2*q + q**3 + q - 10*q**h + q**2 - 7 + 8. Give b(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**7\/21 + 63*c**4 + 2*c**3\/3 - 221*c**2\/2 - 10527*c. What is the second derivative of v(h) wrt h?\nAnswer: -40*h**3 + 1512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-7\/2)*m**(-1\/25)*m*m*m**(-1\/12)*m\/((m*m**7*m*m*m*m*m)\/m) assuming m is positive.\nAnswer: m**(-3787\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 8*o + 1. Let k be p(7). Let c be 25\/3 + (-2)\/(-3). Let l = 13 - c. Solve -l*q = -2*q - k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 718, 2667, -0.06 in increasing order.\nAnswer: -0.06, 718, 2667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 49172276, 49172279, 49172282?\n\"Answer: 3*a + 49172273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7425 + 133603\/18. Find the common denominator of g and -3*(-4 + 2) + (-9810)\/1188.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 189.820259 and -6.3.\nAnswer: 183.520259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 28528 = -1394. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 186, 106, -26, -210, -446, -734, -1074?\n\"Answer: -26*f**2 - 2*f + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -9*g + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0298 + -158.7702. Round v to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 0, -4, -1901, -5 in decreasing order.\nAnswer: 4, 3, 0, -4, -5, -1901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 22595884376899+-5\nAnswer: 22595884376894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 32*i**2 - 59*i - 20. Let x be l(30). Suppose -3*c - 60 = -6*c. Calculate the greatest common factor of x and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -10001101101001010101?\nAnswer: 10001101101001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7048 or 7052?\nAnswer: 7048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 350874 and 11817.\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, x: 1, s: 1, h: 2, y: 3}. Give prob of sequence he.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 3*s + 1. Let t be h(4). Let l be 16\/2 + t + 0. Suppose -i + 0*i + 4*g + 8 = 0, 5*g + 10 = 2*i. Solve i*p = l*p + 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a + 15*a + 2*k - 2 - 2 = -7*a, 26*a - 5*k - 2 = 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/12*3\/(-2). Let z be -2 + 107 + (0 - b). Suppose -31 = 4*v - z. What is the greatest common divisor of 144 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*z - 2*r, 0 = -z - 2*z + 4*r. Suppose -2*w - 5*m + m = -2, -4*w + 64 = -z*m. Solve 0 = -2*q - p + 5, 5*q + w = 4*q - 5*p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m + 5. Let p be o(3). Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 1:21 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1356562606 to the nearest integer?\nAnswer: 36832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l - 4*l + 10*l.\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, f: 13}. Give prob of picking 2 e.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*n = -4*l + 12, 3*l - 4*n = 9. Let d = 3 - l. Let i = -3.012 + 0.012. What is the smallest value in i, d, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -12*b + 8*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = 12*z - 21 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 11*r**2 + r + 5. Let q be x(-9). Let j = -231 + q. Is (-12)\/(-21) + j\/28 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, r: 15}. What is prob of sequence ppp?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -803*r - 875. Determine d(-1).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, u: 4, e: 5}. Give prob of sequence ehuu.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - b - 125 = 0, 0*n + b = -4*n + 100. Calculate the remainder when n is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22 - 22 + 2*r**3 - 13*r + 1 - 1 - 2*r**3 + (-r - r + r)*(2*r**2 + 3*r**2 - 4*r**2) - 4*r**3 + r**3 + r**3.\nAnswer: -3*r**3 - 13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/17, 0.2, 0.1, 4\/25537, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/10)\/((-3)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.065 from 0.05.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 6) + (-27 - -4 - -7 - 2)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(350\/(-21)))\/(5\/25)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 6*d = 6. Let n be d\/(3 - (-36)\/(-13)). Let j(m) = m**3 - 12*m**2 + 3*m - 21. Is j(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446 = -233*m + 10*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3\/4, -5, 1470, 2 in ascending order.\nAnswer: -5, 3\/4, 1, 2, 1470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.1 + 2.9. Which is the nearest to -0.1? (a) 3 (b) x (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -35. Let o be s\/36 - 6\/8. What is the second biggest value in 1\/11, o, -2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**2 + 229213116*m - 458426244 = 0.\nAnswer: -76404374, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/9)*q)**(-43) assuming q is positive.\nAnswer: q**(-688\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 1 = -5*o, -2*k - 2*k + o = 15 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 2. Let m be j(3). Let r(n) = 2*n - 2. What are the prime factors of r(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9404*x**4 - 17521*x wrt x.\nAnswer: 112848*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1518 + 1507. Which is the third biggest value? (a) 0 (b) 2\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24357534*r + 4452973?\nAnswer: 24357534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -150, 5, 70 in ascending order.\nAnswer: -150, 0, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50 - -125834?\nAnswer: 125774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**4\/2 + 7*f**3\/6 + 226*f**2. What is the hundreds digit of k(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 4\/(-2))\/(-2). Let l = 1 - b. Let t be (-49)\/(-147)*2\/4. Which is bigger: t or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 - 2*h - 1. Let n be d(-2). Suppose 2*p = -g + 22, 2*g = p - g - 4. Calculate the least common multiple of 8 and n\/p*-2*7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000069691 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 617, -20, -5.\nAnswer: -20, -5, 617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15391 + 15386. Sort z, -0.4, -0.14, 3\/2, 1 in ascending order.\nAnswer: z, -0.4, -0.14, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -0.18, 0.5, 3, -5, -156 in decreasing order.\nAnswer: 3, 0.5, -0.18, -5, -31, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kekk when four letters picked without replacement from {e: 1, k: 11, t: 5}.\nAnswer: 33\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*d - 67148*d**3 + 242 - 242 + 67143*d**3 - 39*d.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**4\/4 + 4*t**3\/3 + t**2 - 2*t - 8. Give j(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -114 - -114.01. Which is the closest to -0.1? (a) 9\/25 (b) p (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 89027464 and 4.\nAnswer: 89027464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*i + i - 268 = 0, 0 = 5*m + 5*i - 330. Suppose -6*y = -m - 14. Let o = -1 + 56. Calculate the remainder when o is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102756269412 - -0.1?\nAnswer: 102756269412.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 6 + 9. Let g = -2 - u. Find the second derivative of g*w - 6*w + 0*w - w - 4*w**2 wrt w.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/(-4) + (-1)\/(-2). Let i(a) be the second derivative of -a**5\/10 + a**4\/6 - a**3\/6 - 10*a. Let w be i(1). Is f not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5857+-51451\nAnswer: -51451.5857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**3\/3 + 2*a - 26. What is l(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l - 2*n - 1 = 0, -4*n + 9 = -l. Let z = -0.6 - -0.2. Which is the nearest to l? (a) 2\/7 (b) z (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80740\/72666*(-11)\/((-110)\/(-108))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*s + 144*s = 165 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*k - 228 = 0, -3*q + 5*q + k = 153. Let n be (-12)\/q - (-2)\/13. Let p = 20.6 - 16.6. What is the second smallest value in p, -3\/8, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((275\/66)\/5)\/(6\/(-6)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -20 + 27 + 9*z + 40 + 31 + 2. Let f be w(12). What is the greatest common divisor of 94 and f?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.42 (b) -5 (c) -67 (d) 1 (e) 465\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302 + 100 + j + 107 + 95.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 3)*(-5 + 5139*l - 5074*l + 8) in the form w*l + s and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6998*k**2*s**2 + 19952247*k**2 - 1179*k*s**3 with respect to s.\nAnswer: -13996*k**2*s - 3537*k*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(6)*4*6) - (((sqrt(24) + sqrt(168)\/sqrt(7))\/sqrt(4) + sqrt(6))\/sqrt(3))**2.\nAnswer: -18 + sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-1 + 1\/2). Let k(z) = -2 + 2*z**h + 2 + 0*z**2. Let g(w) = w**2. Determine k(g(p)).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -15. Suppose -5*n - 2*q = 32, n - 5*q = -3*n - 52. Let y be (-110)\/n - (-1)\/4. What is the greatest common divisor of k and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8958763877.\nAnswer: 7, 701, 1825711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -73?\nAnswer: -8\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 10:56 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2436*d = 2434*d + 93668. What are the prime factors of d?\nAnswer: 2, 23417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + 4 + (3*(sqrt(200) + 1 + sqrt(200)) - ((3*-1*sqrt(200) - sqrt(200)) + sqrt(200))))**2.\nAnswer: -64864 - 2880*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -331 - -333.055. Round f to 1 dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30605 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -30*s**2 - 16*s - 60. Calculate x(0).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1443, -2893, -4345, -5799?\nAnswer: -7255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39636 is divided by 53.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*w = 153 + 266 + 91 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102217935 and 12591?\nAnswer: 306653805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1768 and 8.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i + 11 = 66. Solve -i*t + 2*j = 31, -3*t + 0*t + 5*j = 30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -2 + -2)\/1. Let o be (2 + -1)\/(-2 - v). What is o rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12644 + 2?\nAnswer: -12642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-24)*14*(-102)\/(-119).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 times -102\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h + 8740 = 74*h + 58*h. Solve 52*a - h*a = -96 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*c - 64 - 148 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - 21) + -10 + -2 + -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1200 and 2931200?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*f - 46*f + 33. What is the remainder when f is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39022, -39057, -39092, -39127, -39162?\nAnswer: -39197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 3*a - 5*x, -a - 2*x = 6 + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2dae + c?\nAnswer: 2dba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 234040434 (base 5) to base 4\nAnswer: 10013312220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*q**2 + 12111*q + 44247 wrt q?\nAnswer: -6*q + 12111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 3 + 4*g**3 - 2 - 3*g**3. Let q(f) = 5*f**3 - f**2 - 1. Let x(y) = 2*b(y) - q(y). What are the prime factors of x(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 6*c**2 + 3*c + 8. What is o(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 987855.3l to millilitres.\nAnswer: 987855300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g + 153 - 8 + 240 + 6*g + 108 to the form p*g + v and give v.\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-1671)\/1114)\/((-57)\/4712)\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14604 = 573*l - 3774*l - 27009 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/((-585)\/54)*(-5)\/(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59200.88 millilitres in litres?\nAnswer: 59.20088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 0.933\nAnswer: 0.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26634824\/1879 + 14175. Is y <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -507 - 514 + 1539 - 503 - 2*c**2.\nAnswer: -2*c**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(132) + sqrt(132) + sqrt(132) + (sqrt(132) - -6*sqrt(132)*3) + sqrt(132))\/(sqrt(108) - sqrt(108)*-2).\nAnswer: -5 + 23*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, i: 11}. Give prob of picking 2 i and 2 d.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1785*w + 1796*w + 1778*w + 1786*w - 7156*w.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13825667 is divided by 58091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 2*z + 25, c + 0*c + z = 10. Suppose 5*j = j - 4*b - 4, -2*j + 26 = -c*b. What is the remainder when 5 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*j**3 - 4*j**3 - j**3 + (4*j**3 - j**3 - 2*j**3)*(6 - 2 + 0) - 3*j**3 + 3*j**3 - j**3 + 0*j**3 - 4*j**3 - 11*j**3 - j**3 - j**2 + j**2.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-6)*(-3)\/15.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2 + (3 + 4 - 6)*(-5 + 5 + 2) + 3 + 1 - 5 + 0 + 0 + 2)*(r - 9*r + r) + 0*r - 4*r + 8*r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 766 + -769. What is the nearest to 2\/97 in 1\/5, 2\/13, -5, a?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 24*p. Let m(b) = 5*b. Calculate c(m(t)).\nAnswer: 120*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15531 and 837?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1844.3 + 1844. Which is the second biggest value? (a) -0.05 (b) 4 (c) 50 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -861*q**3*w**2 + 16*q**3*w + 33*q**2*w + 124*q**2 - 2*w**2 wrt q.\nAnswer: -5166*w**2 + 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 94 = 94 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 - 6*p**2 - 6*p - 3. What is f(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56777, -227175, -511163, -908735, -1419885, -2044607, -2782895?\nAnswer: -3634743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 612*a = 1237*a - 595*a - 1320 for a.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1698*j**3 + 1002*j + 1700*j**3 - 1002*j.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 128*b + 2. Let i = 73 + -69. Let s(z) = z**3 - 5*z**2 + 5*z - 3. Let h be s(i). What is the hundreds digit of u(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 568227 - 0.21\nAnswer: 568226.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 divided by 30756.\nAnswer: 47\/30756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -7 - 8) + -1 + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1873, -4526, -7961, -12178?\n\"Answer: -391*j**2 - 1480*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4680\/(-730080))\/((-4)\/36).\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 10, i: 9}. What is prob of picking 3 z?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*r - 2*l + 23 = 0, 3*r + 5*l = 69. Is 23 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*w - 68138 = -77*w. What is the remainder when w is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -430380, -860758, -1291136?\n\"Answer: -430378*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4080 and 1020?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 3*v + 7 - 4*v)*(-4*v + 2*v + 4*v).\nAnswer: -2*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 2 - 2)*(44 - 67 + 57*d - 58*d).\nAnswer: -d**2 - 23*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1518 divided by 759.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -131 + 918\/7. Suppose -10*c - c = 11. Which is smaller: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b4 - -13e?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**4 - 64460*d**3 + 208462430*d**2 - 4562801100*d + 25052581125 = 0.\nAnswer: 11, 6435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 1 - 2*k**2 + 16*k**3 - 7*k**3 + 17*k**3 to s + u*k + h*k**3 + w*k**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jcjrrrcjcrrrc.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13692 = 3*x - 13701. Find q, given that 2*q**4 + 1\/3*q - 3*q**5 + 0 - 2*q**2 + 8\/3*q**x = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7917*v + v**2 - 7917*v. Let r(i) = -i + 4*i + 0*i. Determine r(j(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1311056, -1311055, -1311054, -1311053?\n\"Answer: i - 1311057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1137 and -3.\nAnswer: -3.1137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/(-16)*168\/(-14))\/((-11)\/11)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 3*d)*(1 - 3 + 0) + 656*d + 2420*d - 1248*d + 2161*d.\nAnswer: 3983*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + 6 - 3 - 5 + 3*j. What is the remainder when 33 is divided by m(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 + -1 - (4 + -2). Let t = 4 + 0. Suppose 3*m + 0*m = -o*w + 11, t*m - w - 7 = 0. What is the least common multiple of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -b + 51, b + 5 - 12 = -g. Let c(x) = -10*x + 2 + g*x - 7. Give c(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 269705, 539503, 809299, 1079093, 1348885, 1618675, 1888463?\n\"Answer: -b**2 + 269801*b - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0052093848 + -0.00521. What is g rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 t when two letters picked without replacement from {w: 1, t: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98)\/(sqrt(7) + sqrt(63) + sqrt(7)) + sqrt(14))\/(sqrt(98)*-2) + (1*((sqrt(168)*1)\/sqrt(3))\/sqrt(8))**2)*-5.\nAnswer: -35 + 3*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24238139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/24)\/(570942\/125712)?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1096743.\nAnswer: 3, 281, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9659012.\nAnswer: 2, 11, 219523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, 3, -5, -1 in descending order.\nAnswer: 61, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + sqrt(612))**2.\nAnswer: -1884 - 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*v = 146*v + 4*i - 19, -i - 19 = -4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 8) to base 7.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-14))\/(5\/(-7) + (-8)\/(-8)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 41*v - 53. Let d be g(4). Suppose -107*i - 1820 = -d*i. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.72326 to one decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 26 = -5. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 4. What is the units digit of (-27)\/(-6) + (-12)\/j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -20, -227 in descending order.\nAnswer: -20, -26, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6693225 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -7511ab?\nAnswer: -7511aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + 5*l - l)*(-1 - 4 + 2) + (5 + 5 + 0)*((3 + 1 + 0)*(-1 + 1 + 2*l) + 0*l + l + 0*l) as k*l + d and give k.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((64\/416)\/((-13)\/(1183\/(-98)))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 909*v - 895*v - 1092. What is the remainder when v is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/3 (b) 4\/5 (c) 1 (d) 0.1 (e) -204 (f) -3 (g) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 + 13 - 42)*(5*y - 3*y - 3*y)*(0 + 3 - 2)*(-6 + 4 + 4) to the form v*y + g and give v.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -276.937 and -1.3.\nAnswer: 360.0181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136530 and 90.\nAnswer: 136530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + (sqrt(175) - (sqrt(175) + -1)) + 5)*-1 + -3*1*(sqrt(175) + 2*sqrt(175)))**2.\nAnswer: 600*sqrt(7) + 17536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-282)\/4*(8 - 84\/9).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -42262\nAnswer: 42262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 263510882 and 9?\nAnswer: 2371597938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjijiniinnrnirn. What is prob of picking 1 i, 1 j, and 2 n?\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k**(2\/5)\/k))\/k)**(-10)\/(k**(5\/4)\/k**(3\/13)) assuming k is positive.\nAnswer: k**(-885\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/251609 - -31199951\/109449915. Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + (-2*sqrt(49))\/sqrt(7) + 2).\nAnswer: -6*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13833 and 14329422.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 4 + 0 + 2*c - 5*c + 4*c + 2*c + (-3*c + 2*c + 2*c)*(0 + 0 + 2) - 2*c - 9 + 9.\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 98*d**2 - 2*d + 3. Let a be m(1). Suppose -f - a = -4*q, 5*q - 3*f = 62 + 53. Solve 4*c + 5 = -c + 2*v, -2*c - 4*v = q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.666, 7.\nAnswer: -5, -0.666, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -12 + 52 + 22*h - 16*h. List the prime factors of r(12).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 = -5. Suppose -8 = -4*q + 2*q + 4*u, 12 = 3*q - 3*u. Find the first derivative of 3 + 3*b**3 - 3*b**f + 23*b**q - 17*b**4 wrt b.\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 r when four letters picked without replacement from urruuurrrr?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 111, -11, 4, 14, 0 in decreasing order.\nAnswer: 111, 14, 4, 0, -11, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p - 2. Let z = -71 + 73. Let d(m) = -4*m - 1. Give z*d(o) - 3*l(o).\nAnswer: o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n + 327. Let m(g) = 8*g + 4. Calculate -m(p) - 2*z(p).\nAnswer: -8*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 31*t**3 + 2*t**2 + 2*t - 18. Is 31 a factor of c(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 8*d**2 - 9*d - 5. Let i be c(-4). Is 10 a factor of (0 - -1)*(8 + i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 19*k**3 + 2*k - 7. Let y(a) be the second derivative of a**5\/2 + a**3\/6 - 2*a**2 - 4920*a. Determine 3*s(x) - 5*y(x).\nAnswer: 7*x**3 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -180842, -180850, -180864, -180884, -180910, -180942, -180980?\n\"Answer: -3*m**2 + m - 180840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*n = 4*h - 14, 0 = -4*h + n + 10. Suppose -7*p = -h*p - 172. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 975239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44\/3*b - 28\/3*b**2 - 20\/3 - 4\/3*b**3.\nAnswer: -4*(b + 1)**2*(b + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14745839 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 5*k**2 - k - 1. Let c(y) = y**3 - 7*y**2 + 5*y + 4. Let a be c(6). Let n = a + -3. Give u(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -28349, -47839, -67329, -86819, -106309?\n\"Answer: -19490*k - 8859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*z**2 - 58*z**2 + 197*z**2 - 77*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 788 and 3716?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1240 or -7095?\nAnswer: -1240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -469*s + 14. Let z be r(-8). What is the greatest common factor of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1042)\/3)\/(18\/(-27)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99714 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1609100 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d - 12. Let o be b(-8). Suppose k - o*f = 25, -4*f - 5 = 2*k + 5. Suppose -4*v - k*x = -13, 3*v - 2*x - 9 = 18. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 414191775?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12086330 rounded to the nearest 10000?\nAnswer: -12090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 128779 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-1\/6)*s))**(-44)*(s*s*s**(-1\/4))**(-17\/3) assuming s is positive.\nAnswer: s**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34350 and 300?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 r, and 2 l when four letters picked without replacement from qoroqprpplolooqoqo?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 3*n + 0*n. Let c be v(-2). Suppose 0 = c*g - 9*g + 110. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 920 - 6*b**3 + 7*b - 394.\nAnswer: -6*b**3 + 7*b + 509","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 456*k + 58. Let w(h) = 153*h + 22. Determine 4*v(q) - 11*w(q).\nAnswer: 141*q - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3685 + -36773\/10. Calculate the common denominator of k and 11\/(-22) + ((-11)\/(-12))\/1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -6. Let w = g - -1. What is the third derivative of 5*y**6 + 2*y**2 - 3*y**6 - w + 1 wrt y?\nAnswer: 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 386*g**2*p**3 - 2*g**2*p**2 + 168*g**2*p + 2*g*p**3 - g - 4961*p**3 - p wrt g.\nAnswer: 772*p**3 - 4*p**2 + 336*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d - 2. Let f be l(-2). Let v be (-52)\/f + 2\/(-8). Let n be (-1)\/(v\/(-30)*2). Which is the second biggest value? (a) 4\/3 (b) n (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2045187335 to the power of 1\/2, to the nearest integer?\nAnswer: 45224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - 2*v)*(0*v - 5*v + 4*v) - v**2 - v + v - 3*v**2 - 1 + 2*v + 1)*(-3*v + 4*v + 2*v)*(-27 - 4 - 2).\nAnswer: 198*v**3 - 198*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 8:56 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 843840 divided by 9\nAnswer: 93760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -28. Suppose k*j + 35 = j. Suppose i - 47 = -4*p + j, 0 = 4*i - 8. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -44 + 3\/2*i**2 + 4*i. Let p be (0\/1 + 1)*-4. Determine s(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 4.9. Let k = -0.1 + i. Put k, 0.5, -1\/2 in decreasing order.\nAnswer: 0.5, k, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20991 to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 800\/300*(-1)\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2611, 3, -36.\nAnswer: -2611, -36, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r**2 + r. Let n be o(-1). Suppose s = 5*y + 17, 59*y = -5*s + 54*y - 35. Sort n, s, -4.\nAnswer: n, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 7, 1, 91, 0, 4 in decreasing order.\nAnswer: 91, 7, 4, 3, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144247093?\nAnswer: 144247093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 334, 5, -468, 2, -4 in descending order.\nAnswer: 334, 5, 2, 0, -4, -6, -468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -3. Sort k, -2\/7, -0.1 in increasing order.\nAnswer: k, -2\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07668 to 3 dps.\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1001000111111001000 (base 2) to base 7\nAnswer: 2353403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-9))\/((-28)\/(-42))*16\/10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 22. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 674, 1157, 1662, 2195, 2762, 3369?\nAnswer: 4022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 - -38 - (-3 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18200 + 18220. Let z be (-10)\/(-6) - (-2)\/6. Differentiate -y - 3 + m - z with respect to y.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 16*m + 37. Let b(i) = i + 3. Let u(a) = 2*b(a) - h(a). Let d be u(-11). Find v such that 2\/9*v + 1\/9*v**d + 1\/9 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**3 + 15686*i - 15686*i.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -5) + (2 - -1) - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 - 65*f**2 + 240*f - 180.\nAnswer: 5*(f - 6)**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 63 - (9\/(72\/112))\/2. Solve -y + 38 = 9*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -1. Let x(d) = -d**2 - 4. Let q(v) = 4*r(v) - x(v). Let m(z) be the third derivative of -z**5\/20 - 5*z**4\/12 + 4034*z**2. Calculate q(m(a)).\nAnswer: 9*a**4 + 60*a**3 + 100*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4406 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47052558?\nAnswer: 2, 3, 7, 29, 79, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -529*n**6\/360 - 23*n**5\/60 - n**4\/24 + 113*n**3\/6 + n**2. Let h(g) be the first derivative of l(g). Factor h(r).\nAnswer: -(23*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 + 2*i**3 + (20*i**2 - 4*i**2 + 110*i**2)*(-4*i - i + 4*i) to c*i + s*i**2 + l + n*i**3 and give n.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -0.2 (b) 2\/9 (c) -5 (d) -2 (e) 1\/50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113463 and 252?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1480 by 20.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1350530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a litre in millilitres?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 9*i**2. Let w(g) = 4*g**2 + 6. Let l(x) = x**2 + 15*x - 6. Let r be l(-15). Let j(u) = 7*u**2 + 11. Let p(b) = r*j(b) + 11*w(b). Calculate p(y(o)).\nAnswer: 162*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2568979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15841738 and 13304.\nAnswer: 3326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from {f: 1, p: 1, t: 3, l: 2, y: 7}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - p - 14 = 0, -5*g + 0*g - 5*p = -110. Let n = 107 - g. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -239*t**3 + 24*t**2 - 9*t - 189. Is f(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(80\/(-36))*-5188. Let r = k - 186827\/16. Find the common denominator of -15\/16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -69, -24?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1121785235 + 5.17.\nAnswer: 1121785240.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*14\/(-735)*-6?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2001?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + 8*o + 13. Let r be s(-4). Suppose -d = -7*j + 4*j + r, 2*d - j + 6 = 0. Which is smaller: 2\/67 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1091 is divided by (129\/(-86))\/(1 - (-81)\/(-78))?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 25. Which is the nearest to -0.2? (a) -1\/8 (b) -1\/6 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000140917 to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 219 and -6?\nAnswer: -1314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 721174 greater than 12259946\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 = 1609*n - 1638*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224154 is divided by 74718.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*u**2 + 9*u**2 - 161*u**2 as w + y*u + g*u**2 and give g.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(980) + (sqrt(980) - (sqrt(980) - (sqrt(980)*-2 - sqrt(980)))) - sqrt(980))\/sqrt(10) + -5 + -1*sqrt(2)*-3 + sqrt(2).\nAnswer: -17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -10*q + 0*q**3 + 1\/21*q**7 + 1\/6*q**4 + 0 - 1\/10*q**5 - 1\/15*q**6 + 0*q**2. Factor s(v).\nAnswer: 2*v**2*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 7*v**2 + v + 7. Let d be c(-7). Suppose -l + 3 = -d*l. Suppose 0 = -3*y + 3*j + 33, -4*y + 12 = j + l*j. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 14\/11 (c) 0.2 (d) 3.21 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y = 42*y - 2730. Calculate the remainder when y is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29500, 29491, 29482?\nAnswer: 29473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5449379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 94657 divided by 6?\nAnswer: 94657\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12949.7 in 1\/4, 0.1, -2\/9, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -239, -1164, -3505, -7970, -15267, -26104, -41189, -61230?\n\"Answer: -118*h**3 - 99*h - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9866472 by -76.\nAnswer: -129822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a\/(a*((a**8\/a)\/a*a)\/a)*a**(-3)\/a*a*a*a**(-1\/2)*a**(-4)*((a*a**(1\/10)*a)\/a**(1\/6))\/((a*a\/(a*a*a*a**(1\/2)))\/(a**(-3\/4)\/a)) assuming a is positive.\nAnswer: a**(-529\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 - 2*a + 0*a + a**2)*(2*a + 6*a - 2*a)*((-3*a**2 - 2*a**2 + 3*a**2)*(1 + 1 - 3) + 14*a + a**2 - 14*a).\nAnswer: -36*a**5 - 36*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 886788 and 1281?\nAnswer: 54094068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/23)\/((s*s**(-7))\/s*s)*(s\/(s*s*s*((s*s**(-6))\/s)\/s))\/s**(4\/3))**(-16) assuming s is positive.\nAnswer: s**(-10576\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/2241 and -57\/1660?\nAnswer: 44820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 784289 - 24412549.\nAnswer: -23628260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7894339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 - -53. List the prime factors of ((-84)\/30)\/((-1)\/r).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321749*u - 322627*u = -23706 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*x + 48*x - 16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54647798?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 9*v**2 - 5*v + 1. Let f be y(-5). Let l = f + 79. Suppose -1279 = -l*o - 384. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -571*m + 25603. What is p(45)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -6. Let j(r) be the second derivative of 0*r**4 + 3*r + 0*r**2 + n*r**3 + 0 - 2\/45*r**6 + 1\/30*r**5 + 1\/63*r**7. Suppose j(i) = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 - 4*j**2 - 12*j + 1. Let r be -2 + 10 - (-3 + 2)*-2. Let f be i(r). Let t = f - 121. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -323.7 + -33.3. Let v = -357.2 - i. Which is the third smallest value? (a) v (b) 4 (c) -1.3 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 35 = -2*i - 46, -2*z + i = 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-18)*3*0. Solve -5*i + 5 = 2*v, -15 = -j*i - 5*i - 4*v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 144070344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9 - (-828)\/84) + 50\/(-42). Which is greater: -2843 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31758, 26921, 22084, 17247, 12410, 7573?\nAnswer: 2736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpzp when four letters picked without replacement from {z: 7, p: 2, v: 3}.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (52\/(-10))\/((-140)\/3). Let f = p + -1\/25. Which is smaller: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1816.3 to the nearest ten.\nAnswer: -1820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 9*z + 3. Let f be k(-1). Let q(g) be the second derivative of -g**4\/12 - g**3 + 7*g**2\/2 - 2*g. What are the prime factors of q(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 - -0.1. Let k be (-130)\/30 + 3 + 1. What is the third smallest value in 0.2, k, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddnnnddddd. Give prob of picking 4 d.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 0*n - 32769. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113 - 112 = r + 3*n, 3*r - 5*n - 3 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -8?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 29 - -44 - 37?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -1, 23 in decreasing order.\nAnswer: 23, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*v = -46*v + 39*v + 36*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6914402, 6914434, 6914490, 6914570, 6914674?\nAnswer: 6914802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 129 + -92. Is d a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/(-64))\/((15\/12)\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 152 = -3*z. Let s be 16\/40 + z\/(-5). Suppose h = 11 + 21. Calculate the greatest common divisor of h and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7899 + 1379 = -141*k + 3*k + 518 for k.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2095*j**3 + 8375*j**2 + 6265*j - 15 = 0.\nAnswer: -3, -1, 1\/419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/743094 and -1\/91740?\nAnswer: 7430940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-9)\/a*a*a**(1\/10)*(a**14*a)\/((a**(6\/11)*a)\/a) assuming a is positive.\nAnswer: a**(611\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i = 18*i. Suppose 4*d + d = i. Suppose 0 = -6*p - d*p + 420. List the prime factors of p.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25946 = 1367*n - 64276 for n.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 2*f. Suppose 3*h - 36 - 21 = f. Suppose 3*m - 29 = -4*a, 4*a = -2*m + 16 + 6. Calculate the remainder when h is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 1 + 0 - -9. Find the first derivative of -1 - 5 + m + 6*f**2 - 6 wrt f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 5, -0.13, 1\/4, 0.024?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 20*r**2 - 2540*r - 72478. What is k(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53838828 divided by 21596?\nAnswer: 2493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13*(2527\/1083)\/(7\/(-3)*-1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-10)\/i**(-27))**(-13))**(-2\/13) assuming i is positive.\nAnswer: i**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -90*i + 198. Let d(k) = -17*k + 41. Let y(b) = -21*d(b) + 4*v(b). What is y(16)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 10000001?\nAnswer: 1111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 1 + -43 + (6 + 8 - 8)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.180446222422+-0.4\nAnswer: -0.580446222422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2668\/203)\/(14\/637). Suppose -4*i - 5*g + 87 + 122 = 0, -2*g = -10. Calculate the greatest common factor of i and l.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65425842 divided by 193?\nAnswer: -338994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 10:01 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 710*d - 62. What are the prime factors of o(-40)?\nAnswer: 2, 29, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 8) in base 13?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, s: 1, q: 6, c: 1, h: 3}. What is prob of picking 2 h?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -8 + 2 + (-75)\/10*(-3580)\/30 is divided by 288.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 115*d + 1107. Calculate y(-9).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b572 + -148?\nAnswer: b427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbtxbbttxx. What is prob of sequence txtt?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 956 a factor of 92677493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -14*d**2. Let w(v) = 8*v**2 - 14*v + 1. Let b be w(2). Let z(g) be the second derivative of 0*g**2 + 0 + 1\/6*g**4 + 0*g**3 - b*g. Give z(j(c)).\nAnswer: 392*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -15, -403, 2\/11, -0.1 in decreasing order.\nAnswer: 2\/11, 0, -0.1, -15, -403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 22326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 6\/((-4)\/(-2)). What is the units digit of (p - 1) + (1 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*h**2 + 2*h**2 + h**2)*(0 - 1 + 10) - h**2 + 2 - 2)*(-h + 4*h - 2*h + (4*h - 2*h + 0*h + 4*h + h - h + (-h + 4 - 4)*(3 + 1 - 6))*(3 - 2 + 5)).\nAnswer: 1274*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 14 = 3*o, -3*o + w + 5665 = 5673 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -114*d + 149. Let a(k) = 114*k - 178. Determine 5*a(f) + 6*q(f).\nAnswer: -114*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y. Let d(j) = 4*j. Let b(z) = z. Let r(a) = 2*b(a) - d(a). Let k(n) = 4*l(n) + r(n). Let g(f) = -4*f - 8*f - 9*f - 8*f. Give g(k(o)).\nAnswer: -58*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 3*n - 37. Calculate c(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -170 - 100. Let j = c - -59. Solve 2*x - 30 = -j*y, 3*x = 4*x + 4*y - 21 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8396358?\nAnswer: 2, 3, 1399393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1857 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*d = -r + 30, 5*r + 10 = 5*d. Let s(c) = -4*c - 40. Let b be s(-10). Solve -5*v + 18 = -l, -2*l = r*v - b*l - 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571119792 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(168))\/sqrt(7) + (1*sqrt(96))\/sqrt(4))\/((sqrt(8) - sqrt(32)\/sqrt(4) - sqrt(8))*-2 - (sqrt(8) - (sqrt(64) + sqrt(64)*-1)\/sqrt(8))) + -2.\nAnswer: -2 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7391\/63 + -822\/7. Which is the third biggest value? (a) 0.4 (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1020003020 + 2?\nAnswer: -1020003012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 258 + -393. Let i be (39510\/j)\/((-1)\/(-600)). What is i rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - 3*b**2 - 4*b - 3*b**4 + 3*b)*(-2 - 2*b + 2).\nAnswer: 6*b**5 - 2*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y\/(y**33*y)*y)*y))\/y**(12\/17)*(y\/y**15)**(5\/9) assuming y is positive.\nAnswer: y**(-6194\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 10:06 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -28*q**2 + 5*q. Let l(z) = 14*z**2 - 3*z. What is -3*h(c) - 5*l(c)?\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -30*(-2)\/((-1)\/(8\/(-80)*2))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -13*j**3 - 4*j**2 - 4*j - 3. Let u be q(-3). Suppose 0 = 3*h + g - u, 5*h - 4*h + 3*g = 108. Calculate the greatest common factor of h and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5*((sqrt(80) - (3 + sqrt(80) + 0)) + sqrt(80)))**2 + 1.\nAnswer: -600*sqrt(5) + 2228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 + 30*d + 28. List the prime factors of b(15).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4759 + 4759 + 3*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*y - 538*y + 225*y = -198*y - 8316 for y.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/3*k**5 - 16\/3 - 20\/3*k**3 + 4\/3*k**4 + 32\/3*k - 4\/3*k**2 = 0. Calculate k.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 4:01 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 68180.69 years?\nAnswer: 818168.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93295\/33 or -2827?\nAnswer: -93295\/33","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 + 51 = -7*n. Let x(d) be the first derivative of d**2 + 42. What is x(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -27. Which is greater: b or -13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 10:16 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29118*-0.04833.\nAnswer: -1407.27294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339*z - 21 = -332*z. Which is the fourth biggest value? (a) 2 (b) 1\/7 (c) z (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*u + 0*u - 28*u**2 - 18*u + 24*u**2 = 0 for u.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -13 - (-8 + 4 - -2 - 2). Is -10 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 + 46*y + 61*y - 226*y + 56*y + 63*y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89\/287 - 1\/41. Let i be (-1 + 2)*(-3 + 4). Suppose a + i = -0*a. Is l less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 4*w**2 - 4*w**2)*(w**3 + 3*w**3 - 15*w + 17*w).\nAnswer: -12*w**5 - 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12535671?\nAnswer: 3, 59, 70823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + ((-20)\/12)\/((-13)\/39).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**4 - 13*w + 10*w + 4*w**3 + w**4 to the form v*w**2 + c + r*w**3 + j*w + d*w**4 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5\/g**5)**(7\/5) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**2 - 2*i - 1. Let d(l) be the first derivative of 5*l**2\/2 - 2*l + 1. What is the remainder when x(3) is divided by d(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/22 and -15\/98?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-5 - (-1 + -1 + -1 + 27))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*a + 6, 2*a - a = 3*i + 10. Let k(o) = o**2 + o + 4. Let v be k(0). Find the third derivative of 2*y**2 - 3*y**v + a*y**4 - 3*y**4 wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 615 divide 134246413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 49548692 to the nearest 10000.\nAnswer: 49550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29350 and 1761?\nAnswer: 88050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2265425501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117589060?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k**3 - 9*k - 9. Give m(-3).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q - 7. Let u(f) = -5*f - 7. Let p(g) = 4*t(g) - 3*u(g). Let d = 2 - -6. Suppose v = -d + 2. What is p(v)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 3319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -21 + -88.80090314\nAnswer: -109.80090314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 91\/3. Which is the closest to 0.1? (a) j (b) 1 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 295 - 260. Suppose v*n - 51*n = -2384. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.2054328 centuries?\nAnswer: 0.02054328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -110.9 (b) 2\/15 (c) -0.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (31 - 7*w - 31)*(7069*w**2 + 327 - 973 + 320 + 326) as h*w**2 + l + o*w**3 + r*w and give o.\nAnswer: -49483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -25*z**3 + 4*z**2 - 4*z. Let x(f) = -74*f**3 + 11*f**2 - 11*f. Determine -11*a(c) + 4*x(c).\nAnswer: -21*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z**2 - 3347*z - 13403. Determine y(-4).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 3c9213?\nAnswer: -3c9211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 > 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 5*z + 155, 4*c + 17 - 24 = -5*z - 20 - 112 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 16 = 3*s, -412*s + 408*s - 86 = 35*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = o - 65, 3895 = -32*x + 3799 for o.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28347?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - p - 2*p = 13, -2*l = -2*p - 30. Let x = 23 - l. Is 8 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 + 102*x**2 + 2265*x + 3214. Give m(68).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170*((-33)\/10)\/33.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4875 (base 15) to base 5\nAnswer: 443120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 + 25)*(-2)\/21.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-19))\/q**(-2\/27)*(q**9)**10 assuming q is positive.\nAnswer: q**(2999\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 9*l - 41. Calculate the remainder when p(11) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.083963 and -546341.56.\nAnswer: -546341.476037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 144*x + 929*x + 4410*x**2 - 7403*x**2 + 4516*x**2 wrt x?\nAnswer: 3046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j + 43. What is the remainder when (-4 - -2*3) + 51 is divided by y(-7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3673.\nAnswer: 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 11 = -s - 7, 3*s + 6 = 3*t. Suppose a + 0*n + 1 = s*n, -a - 2*n + 3 = 0. Suppose 0 = -x - 0 + a. Which is greater: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 - t. Let i(a) = a**3 + 7*a**2 - 2*a. Let b = -208 - -215. Let r = 5 - 8. Calculate b*j(w) + r*i(w).\nAnswer: -3*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6 + 4\/3. Let l = 39199\/8 - 4907. Calculate the common denominator of (-29)\/(3 - n - -3) and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (16 - 7) - 10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -417 + 420.46. Let l = y - 3. Let j = l - 0.06. Which is the nearest to 2\/5? (a) j (b) 1\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/187 - (-58667)\/(-8932)?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 9 = 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -170*d + 5*d**3 + 172*d - 13*d**3 wrt d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*32\/(-80)*(-40)\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1115508 and 28?\nAnswer: 7808556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56349021 is divided by 224498.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95795 is divided by 49.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -89395.398 + 89064. Let i = m - -331. Let z = 0.53 + i. Round z to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13642 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1666\/(-8) - (-30)\/(-40). Is (-22)\/n + 2183\/19 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1003*f**3*n + 784*f**3 + 71957*f**2 + 85*f*n wrt f.\nAnswer: 6018*n + 4704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 24 = 2*i, -4*a - 2*i = -0*a - 56. Suppose -4*l = 4*v - 1332, 3*v - 992 = -a*l + 20*l. List the prime factors of v.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -21*q + 20. Suppose 0 = -0*d + 2*d - 2*k + 6, -5*d - k - 33 = 0. What is the tens digit of u(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/7*(-12)\/(-24). Let i be 1 + -1 - (-2)\/(-5). Is b > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**3 + 6*k**2 - 6*k + 0*k**3 + 7*k**3.\nAnswer: 11*k**3 + 6*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 99 = -5*w - 69, -4*u = -4*w - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/10)\/((-1)\/(-5)). Let s(r) = -7 + 7*r - 31*r + 18*r + 19*r + 20*r. Is s(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/13 + 538*m**2\/13 + 2540*m\/13 - 26400\/13 = 0. What is m?\nAnswer: -264, -10, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 177\/4 - 44. Let k = -42 + 297\/7. What is the second smallest value in j, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-5) + 3 + (-43056)\/(-40). Calculate the highest common factor of 40 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**2 + 28*l + 13. Let r(j) = 3*j**2 + 19*j + 9. Let g(a) = -5*o(a) + 7*r(a). Let x be g(8). Is 99\/3*2\/x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 3:36 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6422416 and 58.\nAnswer: 186250064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 2*b. Suppose v = 6*v + 40. Let k be v\/12*6\/14. Sort 3, b, k.\nAnswer: k, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + z = -2*p + 446, 2*p = -5*z - 553. Let f = z + 135. Calculate the least common multiple of f and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 - 28 = 4*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -492757 rounded to the nearest ten thousand?\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2 - 3*g**2 + 2. Let p(t) = -2*t**2. Let i be (-2 - (-4)\/12)\/(7\/(-21)). Determine i*u(k) - 6*p(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 11*w**3 + 17)*(2*w - 5*w + 4*w + (w + 1 - 1)*(-2 - 3 - 10)).\nAnswer: 154*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 4*w = 16, -5*w = 3*v + 30 - 26 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 10*z - 335. Let n(c) = 3*c. Calculate k(r) - 3*n(r).\nAnswer: r - 335","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-26)\/4)\/(1\/(-2 + 0)). Suppose -w*f + 11*f = -4. Suppose -2*c = f*g - 3*g - 249, 4*g = 3*c - 386. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/7021379 + -6333282772\/3812608797. Let p = w + -1\/181. Which is the third biggest value? (a) 0.3 (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = i + 4*b, 5*i - b - 16 = b. Solve 0 = i*x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 + (9 - 11) + 72\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12 - 2 - (1 - -1). Suppose 0 = 6*w - 11*w + 40. What is the highest common factor of w and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136096 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4015 - 1027 + 734)*(k + 2*k - 4*k)*(2 - k**2 - 2) + 2*k**3 + k**3 + 2*k**3 to the form g*k**2 + r*k**3 + f + d*k and give r.\nAnswer: 3727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**2 - 324*h + 13122 = 0.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -36.5436, 3\/5, -7?\nAnswer: -36.5436","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 3*x + 3. Let v be i(-3). Let u be v\/5 - 340\/25. Are u and -14 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107282 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - ((-3927)\/680)\/(-3))\/(69\/(-12) - -2).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 8\/3*v**3 - 2*v + 0*v**2 - 3. Differentiate t(f) with respect to f.\nAnswer: 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -210.668225603 and -0.8?\nAnswer: 209.868225603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1302661186?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10660 or 25939?\nAnswer: 25939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/2 + 6*y + 10.\nAnswer: (y + 2)*(y + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 275*c**2 + 2498*c + 33. Let j(i) = 2*i. Give z(j(o)).\nAnswer: 1100*o**2 + 4996*o + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 415?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 2. Suppose g = 4*v - 2*v - 7, -4*v + 12 = 0. Let m be (g\/(-2))\/((-8)\/(-496)). Let k = 28 - m. Give i(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*v - 158*v - 112 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 17*i**4\/24 + 362*i**3\/3 - 46*i**2. What is the hundreds digit of k(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 47970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-16)\/(-36)*-3. Let x(o) = -o**2 + 5*o - 2. Let u be x(w). Suppose -u*t + 3*t = 14. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69048 - 45561. What are the prime factors of t?\nAnswer: 3, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 831, 4377, 11811, 24381, 43335, 69921?\n\"Answer: 208*t**3 + 696*t**2 + 2*t - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-7)*(-6 + -2 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 18*v**2 + 45*v. Let i be a(15). Suppose 0 = z - 2*z - 4. Let p be z\/(-1)*1 + 2. Sort i, p, 2.\nAnswer: i, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -189, -310, -6, -2, -9 in decreasing order.\nAnswer: -2, -6, -9, -189, -310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 10*x**2 + 10*x + 13. Let i(o) = o**3 - 34*o**2 + 9*o + 116. Let t be i(34). Let u = t - 431. Determine f(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193739948 to the nearest integer?\nAnswer: 13919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z + 2266 - 2266.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377298761.\nAnswer: 7, 53899823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21\/4 - 103\/20. Let j = 48.5 + -23.1. Let i = -25 + j. Is i greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*d - 225 = 0. Suppose -5*w = -2*v + 7, -2*w + 10 = -7*w + 5*v. Let z be ((-4)\/6)\/(w\/d). Calculate the greatest common divisor of 45 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 31776*f. Let p(l) = -4*l. Calculate p(q(b)).\nAnswer: -127104*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4876\/3303 greater than or equal to 1.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10631, -85249, -287795, -682235, -1332535, -2302661, -3656579, -5458255?\nAnswer: -7771655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4974451841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, -3, 5, -1, -4 in ascending order.\nAnswer: -76, -4, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b = -23*b - 30 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110524805*z**3 - 25628263*z**2 wrt z?\nAnswer: -663148830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1160324, -2320637, -3480950, -4641263?\nAnswer: -5801576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1475997 - 1.575957.\nAnswer: -1475998.575957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-8)\/(f*f*(f*f*(f**26*f)\/f)\/f))\/(f\/f**16*f**(-2)*f))**(-30) assuming f is positive.\nAnswer: f**630","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 75973229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*w = -231*w + 1773 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 1:26 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2064655 + 4304805592\/2085. Find the common denominator of -22\/2085 and j.\nAnswer: 2085","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+0.3522\nAnswer: 0.0522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -131.3574 times 15?\nAnswer: -1970.361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -12*z - 10 - 15*z + 12 + 11. Let b be m(-7). Suppose 0 = 58*i - 60*i + b. What are the prime factors of i?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + k + 2. Let p(l) = -5*l**3 - 5*l + 11. Let s(b) = -6*i(b) - p(b). What is s(0)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 b when four letters picked without replacement from {t: 3, l: 1, n: 4, b: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + t + 4 = 5*t, 2*t = 5*w - 24. Suppose j - 7 = w*u - 0, -2*j - 4*u + 2 = 0. Let z(s) = j*s - 7*s + 5*s - 2. Let f(k) = k - 1. Give 5*f(c) - 3*z(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 11. Let i be a(-12). Let v(u) = 581*u**3 + u - 1. Is v(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**3 - 6*i**3 + 19*i**4 - 45*i**4 - 2*i + 29*i**4 in the form z + y*i**3 + c*i**4 + k*i**2 + m*i and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3169 - 2031. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - -1)*(-5)\/10. Find the third derivative of -3*v**3 + 2*v**3 - 4*v**2 + 5*v**r wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 420154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -554*x**2 + 4958*x - 47. Determine q(9).\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 7*n**2 - 7*n + 7. Let a be r(6). Let p be (-1)\/a - 232\/(-1). Suppose -5*d + 63 = -2*d. What is the highest common factor of p and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 5 (c) 2\/5 (d) 1165\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**3*i*k + 2*h**3*k*v**2 - 8*h**3*v**2 + 58*h*i*v**2 + 20*h*k*v - 2*h*v**2 - i*k*v**2 wrt i.\nAnswer: -h**3*k + 58*h*v**2 - k*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**2\/u))\/(u\/u**(-3\/13)*u)*(u*u**(2\/7)*u)**(7\/6) assuming u is positive.\nAnswer: u**(17\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/(-4*sqrt(7) - sqrt(7)) + sqrt(48) - sqrt(48)) + (sqrt(96)*3)\/sqrt(2) + 3*(sqrt(48) - (sqrt(48) + 2*sqrt(48)*1)**2)*4.\nAnswer: -5184 + 296*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*(-2 + (sqrt(1216)*2 - sqrt(1216)) - (0 + sqrt(1216))**2*2)*6.\nAnswer: -1200*sqrt(19) + 365100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 12:19 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3958, 2, -845 in descending order.\nAnswer: 2, -2, -845, -3958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1024003.07 and -600.885.\nAnswer: 1023402.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-32)\/(-12) + 4\/(-6). Suppose 5*k - 23 = -l*a, 0*k - k = 5*a - 23. Suppose 2*c = -2*c. Solve -a*m + 26 - 6 = c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 45*a - 45*a)*(-4*a**2 - 52038 + 51974 + 7*a**2).\nAnswer: -9*a**4 + 192*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -40*r + 158. Let m be s(30). Let f = -942 - m. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, u: 2, w: 1, g: 1, a: 4, t: 2}. Give prob of sequence rr.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66947786?\nAnswer: 2, 31, 149, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -77, -215, -427, -737, -1169?\nAnswer: -1747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 + (-1390020)\/(-35) - (-4)\/28 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6444 and 2148.\nAnswer: 6444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 37. Suppose -10*h = -7*h - 2*p + 20, 0 = 4*h - 3*p + 27. Let b = h + -5. Is q <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 6*r - r - 33 = 0, 3*r = b + 11. Suppose 101 = b*j - 27. Let d = j + -23. What is the greatest common divisor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(3 + -2) - 1. Let t be p\/2*(-30)\/9. Suppose -t*l = -0*l - 155. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 12*d**2 - 928*d - 352. What is o(78)?\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) -0.1 (c) -0.0862 (d) -2\/7 (e) 56 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35322153081307 - -0.3.\nAnswer: -35322153081306.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5328 and 105120108?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6949624631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*p - 1296 = 108*p. Let t = 59 - 5. Calculate the greatest common divisor of p and t.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4730619 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12, 56, 136, 258, 428?\n\"Answer: b**3 + 12*b**2 + b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6*d = -236. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -193, -194, -195, -196, -197?\n\"Answer: -d - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(62\/10)*132\/330\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(-1*sqrt(7)*1).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 0)\/((-5)\/110). Let k = 28 - y. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -102 - -256. Calculate the highest common factor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*f + 731622, 3*f = 8*y - 4*y - 731621. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/77 or -140507?\nAnswer: -8\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 21\/12 + (-339)\/(-12). Suppose 0 = -39*b + x*b. Solve -8*k + 15 + 9 = b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 4*t + 8. Suppose 3*p - 13 = -4*i + 106, -2*i = t*p - 142. Suppose p = 5*x - 57. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-14)*1)\/(((-220)\/(-140))\/(-1))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1510*n*u**5 + 2775*n*u**3 + 2*n*u**2 - 515*n*u - 2*n - 2*u**2 - 40*u wrt u.\nAnswer: 90600*n*u**2 + 16650*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert a87 (base 12) to base 4.\nAnswer: 120013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*k + 320*k - 719 - 8515 = 625*k for k.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 84.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -25 - (-2 + -1)*4\/(-6). Let z = s - -26. Let t be 12\/9*(z + 10\/4). Solve -4*q + t = -2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -362*c - 3986*c**2 - 2*c**3 + 1324*c**2 + 1327*c**2 + 1333*c**2 to h*c + n*c**3 + a*c**2 + u and give h.\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11095384 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 151a (base 12) to base 11\nAnswer: 1946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69840 by 485.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5242 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 57714110 take away 16.374984?\nAnswer: 57714093.625016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kckckkckkckkkdnck. What is prob of picking 1 d and 1 n?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -16 (b) 0.06 (c) 2 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 457 + -457. Which is bigger: p or -2\/113?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/(-135)*6\/(-4). Suppose 0*r**3 + f*r**4 + 0 - 6\/5*r**2 + 4\/5*r = 0. What is r?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353195 (base 12) in base 9?\nAnswer: 1543615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -56566*y**2 + y. Let v be f(-1). Let w = v - -30840. Let o = -22273 + w. Round o to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 22, 40, 64, 94, 130?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 6*p**2 - 11*p - 11. Calculate t(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1864418820 by -39787.\nAnswer: -46860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 16*w**3 - 5*w + 1. Let f(j) = 3*j**3 - j. Let k(o) = -11*f(o) + 2*l(o). Let r = 0 + 5. Suppose 0 = 3*y - 3*m + 6, 5 = -3*y + r*m - 1. Give k(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 126\/15 + (-2)\/5. Let y(d) = d**3 + 4*d**2 + 2*d - 2. Let k be y(-2). Let w be (-3)\/6*k*-12. What is the highest common factor of b and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75068541 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/37 (b) -68 (c) -835 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6450051 to the nearest integer?\nAnswer: 2540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -158121.\nAnswer: 79060.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, b: 5}. Give prob of picking 3 n.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c + 17. Let h = -30 - -24. Let o be t(h). Solve -o*q + 8 = -7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b = -13078 + 13163. Put 1, 5, -9, b, -1 in descending order.\nAnswer: 5, 1, -1, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -521603, -0.8, 1\/2, -0.5, 3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -6*r - 1. Let s = 2.5 + -2.8. Which is the smallest value? (a) r (b) s (c) -4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-291)\/(-33) - 8\/(-44). Suppose -4*l + m*l = 10. Let g(i) = -i**2. Determine g(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -789 and -5?\nAnswer: 3945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 19 = 5*g, 16*l = 12*l + g - 13 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/58 and -99\/4.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4\/243?\nAnswer: 4\/243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18896, -18755, -18616, -18479?\nAnswer: -18344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {k: 5, i: 15}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + i**2 - i)*(-5 + 1 - 2).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00034477413 rounded to 5 decimal places?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.40023314\nAnswer: 0.20011657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30.7447*-0.1.\nAnswer: -3.07447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n - 15*n - 59*n to o + h*n and give h.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 58, 123, 214, 331?\nAnswer: 474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 136 = -n, 5*n = -0*o + 5*o + 160. Let f = o - -32. Suppose -324 = -2*j - f*j. Is j a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094968262 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.19 + 0.21. Let d = -11 + 9. Which is the smallest value? (a) d (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 3*h + 2. Let w be s(2). Suppose 0 = -d - w*y - 2, 2*y = 3*d - 4*d. Find the common denominator of 59\/2 and (-15)\/2 - (4 - d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3006 and 9238941?\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45 - 24778\/546)*3.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -90330 times -5.6\nAnswer: 505848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1712299925?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.026, 19, -5837, -0.2.\nAnswer: -5837, -0.2, -0.026, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24, 51, 78, 105, 132, 159?\n\"Answer: 27*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-25) + (-712)\/(-5) + 1. Let w be 10\/3 - 6\/(-9). Suppose -w*y - u = -f, y - 31 = -2*u - 3*u. Is y a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - 9840\/(-280) - -1) + (-180)\/(-14) + 105?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10943 is divided by 194\/2813 - 4748\/(-116).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q - 404 + 90*q**2 + 404 in the form g + k*q + d*q**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 371624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21228089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, x: 3, n: 15}. What is prob of sequence nnx?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -317 divided by 1?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 + 3*m + 1. Let o(r) = -3*r - 41. Let t be o(-13). Let f be z(t). Solve 3*d = -2*b + 16, -3*b + 6 = -f*d - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7427.224 or -2?\nAnswer: -7427.224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (-9)\/(2 + 1). Suppose g = -0*g. Let b(m) = -m**3 - 5*m**2 - 6*m - 4. Let z be b(-4). Solve g = -h*p - z*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 72 and 128.539.\nAnswer: 9254.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 242 and 558965?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5753596485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f + 3. Suppose 8*q - 3*q - 15 = 0. Determine b(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22354\/21 smaller than 1063?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6604 + -6600. Solve 0 = c*z - 3*z - 2, 5*o + z - 22 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1559, 0.3, -1\/6, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 402 - 213. Let f = o + -117. Suppose n = -24 + f. Does 16 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50862 is divided by 361?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 143 - 147. What is the nearest to 1\/3 in -1, -2\/35, b?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 7 = -2. Let l be (-1)\/(-3) + (-6)\/a. Suppose 2*y = z - l - 8, -5*y - 17 = -2*z. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/21 in 0.04, -8, 154, -4\/3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.6 + 3.223. Let u = 39.377 + h. Which is the third smallest value? (a) 2 (b) u (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 d when four letters picked without replacement from eeeeeede.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272 = 48*l - 31*l for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.37184ms in microseconds?\nAnswer: 45371.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 232598 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -33*p**3 - 2*p**2 - p. Let j = 15 - 16. List the prime factors of s(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3927?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*o - 5*m, -5*o = -2*o + 5*m + 40. List the prime factors of (o\/4 - -2)*-50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1680534 + -109.\nAnswer: 1680425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 1238371320.7.\nAnswer: -1238371320.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-115)\/35*(-2247)\/214 + 5\/((-15)\/18)?\nAnswer: 57\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4405116547 to the nearest integer?\nAnswer: 1639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3\/5 + 41812852*r**2\/5 - 218539365859584*r\/5 + 437078564467776\/5 = 0.\nAnswer: 2, 10453212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39363 divided by -39363.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-2)\/(32\/(-72)))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 38726550.\nAnswer: -1\/19363275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*o - 20*o - 20*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 - 5*p - 8. Let o(b) = b + 1. Determine c(w) + 6*o(w).\nAnswer: -2*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -83 - cd?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23809*r - 23808*r + 17 = -i, -2*r = 6*i + 110 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -i - 2, -1832*t = -1836*t + 5*i + 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**10\/s*s*s**(-4)\/s*((s**(-2\/3)\/s)\/s)\/(s\/(s\/s**(1\/2))*s) assuming s is positive.\nAnswer: s**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 9:50 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 15, 43, 0.5?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 220.2 times 0.4\nAnswer: 88.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123665506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 58, 115, 186, 277, 394, 543, 730?\n\"Answer: k**3 + k**2 + 47*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 12:13 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50779 is divided by 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3700 + 1649196.657.\nAnswer: 1652896.657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.06, -1\/4, 2, 1.4 in increasing order.\nAnswer: -1\/4, -0.06, 1.4, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9164\/(-174) - -51 - (-89)\/3\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 864641 is divided by 432311?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y - 4. Let d(h) = 3*h - 5. Let r(q) = 4*d(q) - 5*i(q). Let g = -6 - -11. Let t(f) = 2*f - 5*f + g*f + 6*f. What is t(r(l))?\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 792 is divided by 778?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + -29. Let m = -29 - -15. Let t = m - -30. What is the remainder when t is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31036819.\nAnswer: 11, 353, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33094 is divided by 2541?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50*11\/1650)\/((-3)\/(-1071))?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9268637 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -372532 + -8?\nAnswer: -372540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*s + 3*d = -60*s - 12, 4*s = -2*d + 16. What is n in 0 - 4\/5*n**3 + 0*n**s + 0*n**2 + 2\/5*n + 2\/5*n**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {y: 1, t: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f - 142 + 162. Let s(l) be the first derivative of -14*l - 9\/2*l**f + 5. Find the first derivative of s(g) wrt g.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6*t - 67. What is j(-21)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u. Suppose 2*f - 4*f - h + 10 = 0, 0 = f - 5*h + 6. Suppose 2*j = -f*j + 6. Calculate n(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p + 29. Let j(c) = -289*c. Let x(a) = 4095*a. Let t(l) = -85*j(l) - 6*x(l). Calculate t(g(d)).\nAnswer: -15*d - 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 + -35. Suppose -22*s + x*s = -8. Let k(l) = 6*l**2 + 5*l**2 - 3*l**2 + s*l**2. Let b(g) = -3*g**2. What is b(k(a))?\nAnswer: -432*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.99 + 0.01. Let d = 5 + -61. Let k be d\/(-72) + -1*1. What is the biggest value in k, -5\/6, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 - 75. Suppose 0 = -2*q - 2*s - 592, -z*q - s + 0*s - 878 = 0. Which is smaller: -290 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2101189 and 3.\nAnswer: -6303567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + (sqrt(171) - (-4*-2*sqrt(171) - sqrt(171))))\/sqrt(9))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s*s\/((s*s\/(s\/(s\/(s\/(s\/(s**17\/s)*s))*s)*s))\/s)*s)*s*s\/(s*s\/(s**19\/s*s*s)*s)*s*s**(4\/7)*s**(3\/7) assuming s is positive.\nAnswer: s**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 571*y**3 + 354189*y**2 + 98006063?\nAnswer: 1713*y**2 + 708378*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (0 - -2)*-77. What is the highest common divisor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189649 and 610?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-5))\/((-3198)\/(-591630)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {q: 2, a: 2, o: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from oooooooxoxoxoooo?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-328.\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.721342517 to two decimal places.\nAnswer: 1.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o + 200. Let r(u) = -11*u - 402. Give 3*r(s) + 7*w(s).\nAnswer: 2*s + 194","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 1. Let l(d) be the third derivative of d**5\/30 + d**4\/12 - 4*d**3\/3 + 6*d**2 - 1. What is 6*h(c) + l(c)?\nAnswer: 2*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 9*s - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 622*w**2 + 4402*w - 9. Determine f(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 505729 at least 505728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from zzzzqqqzzqzqzqzzzz?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -50.725?\nAnswer: -25.3625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51200.92 grams in micrograms?\nAnswer: 51200920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/4*2*-1404. Let c(b) = -88*b - 47. Let k be c(-11). Suppose -k - s = -3*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1853)\/136 + 14 + ((-14)\/(-20))\/(36\/135)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u**4 - 111*u**3 + 93*u**2 + 75*u - 75 = 0. What is u?\nAnswer: -5\/6, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 348\/(-42) - -8 - 32\/182. Let r = 23\/78 + i. Let p = 1.3 + -1.6. What is the closest to 1 in r, 2\/7, p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**5\/60 + 28*a**2 + 2*a. Let f(g) = -2*g**2 + g. What is p(f(l))?\nAnswer: 4*l**4 - 4*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -41, -38, -15, 40, 139, 294?\n\"Answer: 2*y**3 - 2*y**2 - 5*y - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxi when three letters picked without replacement from qnqxcnti?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + c + 6. Let j be u(0). Suppose -8 + 52 = 5*n + 2*x - 31, -x = 0. Solve -v + j*v + n = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41036519 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0 (c) -16951\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/11 - 8*n**3\/11 - 8*n**2\/11.\nAnswer: -2*n**2*(n + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61695 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 12:57 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - ((23 - (3 - 1)) + 903 + -899).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1287719 and 149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**6\/30 - w**4\/24 - 4*w**2 - 6. Let h(p) be the second derivative of l(p). What is the second derivative of h(u) wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1535?\nAnswer: 1535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 496250 + -516682.8.\nAnswer: -20432.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 - 5*q**2 - q**2 - 4*q - 3*q**2 - 5*q + 17*q + (2 + 1 - 1)*(-q - 2*q**2 + q).\nAnswer: -13*q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/60066 and 3126 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 8:56 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*d = 1407, d - 3*d - 10 = 0. Does 20 divide n*(6 - 5) - 2*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 7:08 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -16. What is the smallest value in o, 0.3, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 225 (b) -178 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 24810.3354 to the nearest 10.\nAnswer: 24810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**2 + 245538*s - 27291681 = 0.\nAnswer: -81957, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*p**4 - 24*p**3 + 298*p**2 - 2418859*p?\nAnswer: -396*p**2 - 144*p + 596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4499*i + 553*i = 269264 + 165208 for i.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 t, and 1 b when three letters picked without replacement from {e: 2, t: 4, b: 6}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -17*w**2\/2 + 18*w + 3. Differentiate h(q) with respect to q.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 4)*(-5 + 3 + 0)*(-2*k - 2*k - 4*k) to x + f*k and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 443, -137, 2\/13, 6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283850387.\nAnswer: 103, 2755829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 14487\/(-759) + 46\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + (-12 - (14 - 16)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 25 + 31 + 17*b - 5*b + 145 - 26 - b**2. Let o be l(0). Calculate the highest common factor of 75 and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 968215?\nAnswer: 5, 41, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 3*d - 51, d + 98 = 4*j - d. Let w be 1*-3*(-32)\/j. What is the greatest common divisor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**4\/15 - 1108*b**3\/15 - 153458*b**2\/15 = 0?\nAnswer: -277, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -5, 2, 175.\nAnswer: -5, -1, 0, 2, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 151 - 74 = 86. Which is the third biggest value? (a) 0.6 (b) -0.2 (c) n (d) -0.9 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2. Let j(b) be the second derivative of -b**6\/72 + 5*b**4\/12 + 2*b. Let z(s) be the third derivative of j(s). Give z(x(g)).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 74904.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 40 = 4*x. Solve -8 = x*q + 17 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8028?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 3 + 3)*(41*n - 30*n + 48*n) - 4*n + 5*n + 0*n)*(-108*n**2 + 4 - 3 + 96*n**2) in the form q*n**3 + y + t*n + o*n**2 and give q.\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*t - 160*t = -77. Put -4, t, 2\/11, 3 in ascending order.\nAnswer: t, -4, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -231*b + 21439. What is k(93)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75030?\nAnswer: 2, 3, 5, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvvvivviiivivv.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -179 - -181. What is the third derivative of -22*q**b + 17*q**2 - 29*q**3 - 54*q**3 - 10*q wrt q?\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z = 2*f - 14*z - 2, f = 2*z - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/19 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1936 + -2811. Let g = b - -800.6. Let t = 74 + g. What is the second biggest value in 2\/27, t, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddggsdodgpogkkgds. What is prob of sequence ds?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4041811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**5\/19 + 8*u**4\/19 + 6*u**3\/19 - 20*u**2\/19 - 16*u\/19 = 0.\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q - 15. Let o(s) = 3*s**2 + 4*s - 2. Let l be o(-3). Let n = l + -20. List the prime factors of z(n).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31369 + -15510. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -139*i**4 + 167 + 27280*i**2 - 27280*i**2 wrt i?\nAnswer: -556*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/1798?\nAnswer: 1\/1798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 231528\nAnswer: -1\/231528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2791558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 12. Let p be (-105)\/27 - (-2)\/z. Let w = p - -10\/3. Do -1 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 5:36 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10491)\/1076 + 14\/8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5.49616 centimeters?\nAnswer: 54961.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -1 + 1 + 2*r. Let g(f) be the first derivative of -f**4\/3 - 9*f + 10. Let h(v) be the first derivative of g(v). Determine h(p(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 0.1 (c) 1460\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l - 59. Give f(-10).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75 - -76. Let j be 7 + l + -1 + -3. Solve j*o - 25 = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 8*j + 3 + 55479*j**2 - 55588*j**2 in the form d + q*j + l*j**2 and give l.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24\/5? (a) 1\/5 (b) 6 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61\/2 + 127\/4. Let o = 84013.2 + -84013. Which is the nearest to 1? (a) 24 (b) g (c) o (d) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence loeu when four letters picked without replacement from {e: 1, z: 2, p: 3, o: 3, u: 2, l: 1}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**2\/2 - 15. Let w(d) = 3*d. Determine w(z(k)).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49793206 by -2.\nAnswer: 24896603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35226303 to the power of 1\/2, to the nearest integer?\nAnswer: 5935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 2. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 701938?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + -17 + (69 - 17)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -17\/12*k**4 - 51*k + 0*k**3 + 0 + 0*k**2. Let l(g) = 2*g**2 - 6. Let z(p) = -1. Let m(o) = l(o) - 6*z(o). Give m(y(n)).\nAnswer: 578*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a*m**5 - 21*a*m**3 - 83*a*m + m wrt m.\nAnswer: -20*a*m**3 - 126*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**5*p + 13*k**3*p - 2*k**2*p + 12*k*p - 5*k - 3*p wrt k.\nAnswer: -60*k**3*p + 78*k*p - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 15*v - 51. Let c(d) = 15*d - 72. What is -3*b(w) + 2*c(w)?\nAnswer: -15*w + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (13\/(-65))\/((-85)\/50) + 43\/68. Solve -9\/2*v**2 + 9\/4*v + 15\/2 + b*v**3 = 0.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/95034 and 139\/2256.\nAnswer: 760272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p**2 - 2*p - 2. Let a be g(3). Let w = 30 - a. Suppose 5*h = w*h + 30. Calculate the remainder when 37 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 55?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p - 70. Let r be s(24). Suppose 0 = -r*g - k + 2*k - 34, 5*g + 84 = 3*k. Sort 2\/9, -3\/4, g in decreasing order.\nAnswer: 2\/9, -3\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 12 = -b. Let t be ((-6)\/4 + b)\/2. Put t, 0.4, -5 in decreasing order.\nAnswer: t, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-14) - (994\/245 + -4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2953*b*o**3 + 3280*b*o + 11*b - o**3 - 4*o**2 wrt o?\nAnswer: -17718*b*o - 6*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 6:48 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3030 + -5579.3. Let y = t - -2756. What is y rounded to 0 dps?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1476*g**2 + 3*g**4 - 1613*g - 40996*g**3 + 40861*g**3 - 823*g.\nAnswer: 3*g*(g - 29)*(g - 14)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*f + 2*f - 346, b + 438 = 5*f. Suppose 6*r - f = 3*r + x, 0 = -5*r - 5*x + 120. Find the common denominator of 71\/9 and 2\/(0 + r\/62).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2646\/(-30))\/(-9) + (-246)\/(-205). Let u be 21 + 1 + (-1 - -1). What is the greatest common divisor of u and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - k - 38 = 0, 3*u + u = 2*k - 22. Let b be (3 - (u + 3 + 3)) + 13318. Let n = -8989 + b. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f - 126 + 31 - 3*f + 12*f + 97.\nAnswer: 22*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*sqrt(15)\/sqrt(3)*-5.\nAnswer: -30*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4172644 and 6588.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -37000 divided by 37\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -1, 5, -5742, 2 in decreasing order.\nAnswer: 5, 3, 2, 0, -1, -5742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 264 and 62557?\nAnswer: 1501368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c - 6. Let a(y) = -y + 13. Let s be a(7). Let r be p(s). Factor 5*g**2 + 4*g - 2*g - 2*g**3 - 13*g**2 + 2*g**4 + r*g.\nAnswer: 2*g*(g - 2)*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 3 + 9 = -4*l. Solve 4 = 2*v - 0*v + y, 4 = 2*v + l*y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1260 and 163\/180.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*d + d + 173*d - 890*d - 45225 = 0 for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 3*n**6\/10 - 41*n**5\/10 - 837*n**2\/2 + 648*n. Differentiate i(l) wrt l.\nAnswer: 36*l**3 - 246*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45) + -3 - (4 + sqrt(15)\/sqrt(3)).\nAnswer: -7 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4149600 and 1106560?\nAnswer: 16598400","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 + -124. Let t = 121 + p. Calculate the greatest common divisor of t and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 0*g + g**2 + 2 + 0*g**4 + 0*g**3 - 1\/5*g**5. Find the second derivative of s(m) wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5555*((-7)\/(49\/(-6)) + (-1800)\/875).\nAnswer: 2, 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.8+1.6543\nAnswer: -0.1457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bss when three letters picked without replacement from bbsbsbbsbs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1433 + 2047. Find the first derivative of m + b - 62*m**2 - m - 1020 + 554 wrt m.\nAnswer: -124*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.782424 to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -1643.\nAnswer: 3286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1995 and 105.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(4\/9)\/a**(2\/23))\/(a*a\/(a\/a**(-12\/7))*a*a**(1\/8)\/a))**(-2\/65) assuming a is positive.\nAnswer: a**(-2195\/75348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8d - 408?\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-93)\/(-18) + 22\/(-132). Solve 307*w + g = 309*w - 3, -h*w = g + 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/16)\/(220\/(-88))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -302 - -305. What is the nearest to -0.2 in y, 0.2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 6*f**2 - 3*f + 6. Suppose -2*b = 8*b + 30. Let u be h(b). Let q = u + 33. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*110\/80*(-15 + 14)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -53, -169, -289, -413?\n\"Answer: -2*z**2 - 110*z + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11000 (base 2) to base 7\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -52*w**3 + w**2 + w + 1. Let f(b) = -b**3 + b**2 + b + 1. Determine f(g) - h(g).\nAnswer: 51*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24825 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 12:38 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8093\/3 or 2697?\nAnswer: 8093\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 49*l**6\/30 - 21*l**5\/5 + 5*l**4\/2 - 2*l**3\/3 + 11*l**2\/2 + 17. Let k(n) be the second derivative of d(n). Factor k(f).\nAnswer: 4*(f - 1)*(7*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-42)*147\/252?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/10483704 and 137\/10192490.\nAnswer: 366929640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -343.1175 rounded to the nearest integer?\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-10)*(-130)\/312\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14812920 divided by -9?\nAnswer: 1645880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-382)\/(8\/(-12)*3). Suppose 4*o - u + 4*u = r, o + 3*u - 41 = 0. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -676.9*-0.2.\nAnswer: 135.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 578 + -583. What is the common denominator of ((-3)\/(-28))\/(k\/((-8750)\/36)) and 47\/252?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r + 10 - 61 = 0. Suppose r*y - 11*y = -7*y. Solve y = 5*n - 4*q, 0*n - 2*n = 2*q + 18 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 i when two letters picked without replacement from {m: 1, o: 2, n: 1, i: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, 7, 3, 5 in descending order.\nAnswer: 7, 5, 3, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 - (-40 + 40)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 6:54 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-6) + 28\/(-6). Let g(y) = -2*y + 25. Suppose -5*w + 100 = 4*d, 49 = -0*w + 4*w - 3*d. Let f be g(w). Which is smaller: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 828 and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*p = 88*p + 2*p + 17*p. Solve x - 3*j = 117 - 107, p = -4*j - 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f**(-30)\/f)\/f))\/f)\/f)**43*f\/f**(-6\/7)*f*f**(-31) assuming f is positive.\nAnswer: f**(9134\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1434\/3346)\/(((-54)\/21)\/(-3))*52?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 19 = z - 2*z, -3*w - 6 = 0. Suppose 0 = 1488*a - 1492*a + 44. What is the lowest common multiple of a and z?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -2\/7 (c) -3 (d) 3 (e) 0.1253\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 402 - 402. Let s(t) be the second derivative of 0*t**2 + 1\/20*t**5 - 2\/3*t**3 + f*t**4 - 4*t + 0. Find the second derivative of s(g) wrt g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2207, -2204, -2199, -2192, -2183, -2172?\n\"Answer: f**2 - 2208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2\/1255, 5, 1053?\nAnswer: -2\/1255","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -454)*(-13)\/(-26). Is 225 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -17, -99, -6 in increasing order.\nAnswer: -99, -17, -6, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3229*v - 398. What is p(0)?\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(847) - (sqrt(847) + sqrt(847)*1 + -3)) + sqrt(847) - (sqrt(847) + -1 + sqrt(847) + 4))**2 + (1 + sqrt(847) + 0)**2*4.\nAnswer: 88*sqrt(7) + 6785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(19110\/104))\/(2\/30)*(-42)\/(-81)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 101*u + 7. Let o be h(1). What is the highest common factor of 60 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**13*y**(-19)*(y\/(y*((y*y**(8\/5)*y)\/y*y)\/y))\/y**32 assuming y is positive.\nAnswer: y**(-203\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/(-120)*4)\/(2\/(-50)). Find the third derivative of -2*t**3 + t**3 - 25*t**2 - 8*t**5 + q*t**2 - 34*t**2 wrt t.\nAnswer: -480*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21013 + 3441?\nAnswer: -12022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 7 + 19 = 0. Let o(d) = -232*d - 26. Let k(t) = t. Let p(g) = 3*k(g) + o(g). Let u be p(v). What is u rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10054223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from {l: 1, j: 4, a: 1, f: 2, u: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.17 rounded to zero decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 - 1113a?\nAnswer: -11122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 10*t**2 - 64*t + 6. Calculate the remainder when 2389 is divided by u(-1).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (35 + 7*f**2 - 35)*(-2 + 2 - 2*f)*(1 - 2 - 4)*(-132*f + 9*f - 153*f) as t*f**2 + w*f + p*f**3 + n + x*f**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 1 = o, -104*m + 102*m - 25*o = -77 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1477094 + -0.1?\nAnswer: 1477093.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -150.765 * 3.\nAnswer: -452.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 641466478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247252 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016)*2)\/(1*(sqrt(28) + sqrt(7))) - ((1 + sqrt(8))*-2 + sqrt(8) - (sqrt(72)*2)\/sqrt(9)).\nAnswer: 2 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-3))\/(-11)*(-1)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + -2 + sqrt(704) + 1.\nAnswer: -1 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 405 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -57.\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**4 - 5640*w**3 + 3951846*w**2 + 19877840*w + 15920352 = 0.\nAnswer: -4, -1, 1341, 1484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -679 + 1061. List the prime factors of x.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - h**2 + h. Determine b(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5358 greater than -10715\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h + h + 12*h - 8*h + 9*h**2.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 171050880 a multiple of 2310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-4)*(-2472)\/4017?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 237747755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1386 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 178 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -72 - 9973?\nAnswer: -9a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (-4)\/((-4)\/(-109)). Suppose 4*i - 959 = -239. Suppose i = 113*h - y*h. Calculate the highest common factor of h and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2706918 is divided by 21313.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 0, -2\/17, -48?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 132.72 to zero dps.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -94, -156, -238, -346, -486, -664, -886?\nAnswer: -1158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b1 + 275?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 2) to base 10\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 88*x - 1. Let i be m(-2). Let t = 338 + i. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2082\/(-18738) - 548\/90.\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/5 + 296*p\/5 - 10152\/5.\nAnswer: -2*(p - 94)*(p - 54)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 836 and 945668?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**2 - 2*a - 2. Let s be q(-1). Solve -2 = -s*m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l. Let z(d) = -974*d. Give z(p(c)).\nAnswer: -1948*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*z + 198*z + 2 - 2.\nAnswer: 27*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from {k: 5, n: 1, u: 3}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 5:39 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -200*m**2 + 306*m - 4. What is r(2)?\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1950160463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8071 + -15689113691\nAnswer: -15689121762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 20*q - 16. Suppose 6*m = 7*m + 19. Let y be z(m). Solve 4*p - y*p = -2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 145941*f - 2335059. Calculate p(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1219 - 526. What are the prime factors of s?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 - 2*l**2 + 2*l**3 + (l + 0*l + l)*(1 - 1 + 3*l**2) - 3*l**2 + l**3 + 3*l**2.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 + 10*u + 22. What is z(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 7*j**2 + 5*j - 26. Let p be l(7). Suppose p*h - 22 = -2*h. Find the first derivative of 81*q**h + 26*q**2 + 6 + 1 - 65*q**2 wrt q.\nAnswer: 84*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 15*r**3 - 3*r. Let b be o(3). Let j(g) = -g**3 + 3*g**2 + 4*g. Let c be j(4). List the prime factors of (c + 5)*b\/60.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(120\/14)\/12.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 d when three letters picked without replacement from {v: 3, t: 2, x: 3, d: 9, c: 2}?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 28 + 16. Sort z, -5, 5, -19 in descending order.\nAnswer: 5, z, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 210, 4, -0.5, 1\/2 in increasing order.\nAnswer: -0.5, 1\/2, 4, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 16*t**3 + 3*t**3.\nAnswer: 21*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1018576170 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1768, 1205, 220, -1187?\nAnswer: -3016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 96 = 40. Let b(k) = -k + 14. Let o be b(v). Let d = o - 17. Calculate the remainder when 75 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2630\/18 - (-14 - -16). Let y = q + -13681\/90. What is the common denominator of y and -2 + (-3)\/30*43?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -503? (a) 2568 (b) 1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -156648 - -894930029\/5713. Let o be 7597170\/(-1279712) + -1 - -13. Let p = o - l. What is the common denominator of 151\/36 and p?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x - 4. Let i be n(-5). Suppose -i = -m - 0. Suppose m + 0 = 2*p. Solve -3*o + 2*f + p = -f, 3*o - 2*f = 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2 + 546*r - 1080 = 0.\nAnswer: 2, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 687\/109 or 7?\nAnswer: 687\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 644 and 72220.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9969917 by -1.\nAnswer: 9969917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zuqqququ. What is prob of picking 2 q and 2 u?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 597 + 85. Let z = v + 16. Suppose 2*u - 5 = 31. Calculate the greatest common factor of u and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 2, -13 in decreasing order.\nAnswer: 64, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47297ng in kilograms?\nAnswer: 0.00000000000047297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbddbrcdd. What is prob of picking 2 d and 1 r?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 158.59 from -587.31.\nAnswer: -745.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 4*i - 5. Let x = i - -6. Is -3 + 2 + 251 + x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 14 = 4. Solve -x = 2*h - 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20398 + 1?\nAnswer: 0.79602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence al when two letters picked without replacement from {h: 5, a: 1, l: 11}?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 574 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9*h**5 + h**4 + 189*h**2. Let s(b) = b**4 - b**2. Let n(i) = 6*s(i) + u(i). What is the third derivative of n(j) wrt j?\nAnswer: 540*j**2 + 168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2, 54, -4 in descending order.\nAnswer: 54, 2\/3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 24 + 0 = 0. Let f be 1\/(c\/(-16)*16\/24). Let r be f\/(-10) + (-368)\/(-20). What is the highest common factor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, z: 1, b: 1, a: 1, t: 1, h: 1}. What is prob of picking 1 h and 1 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 337.466 rounded to zero dps?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 + 1338*v**3 + 197100*v**2 + 9315000*v - 40500000.\nAnswer: 3*(v - 4)*(v + 150)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (136\/23 + 1934\/22241)\/((-8)\/96)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2709267 to 3 dps.\nAnswer: -0.271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -2\/3, -2\/15, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*f - 20*f + 24. Let a be f\/54 - (2 - 68\/18). Suppose 0 = -u + g + 8, -5*g + 46 = a*u - g. Solve 3*n - 2*p = n - 18, -u = 5*n + 3*p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + t - 3*k + 93 = 0, -2*k = -t + 50. Let q(y) = -4*y**2 + 165*y - 1700. Let u be q(20). What is the closest to t in -0.4, 1\/6, u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 3:26 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 562 - 568. Is (5424\/28)\/(o\/(-28)) a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8251 and 2838159.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dewjmmsw. Give prob of sequence djs.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -7\/4 and 11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2234 = -3*k + 3*d - 4*d, -5*k - 4*d - 3714 = 0. Let j = k + 3698\/5. Find the common denominator of (4 + -6)\/((-56)\/107) and j.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6 - r**2 - 1 - r**3 - 2*r + 3*r - 3. Let w be j(0). Solve k = -w*t + 9, -2*k + t = 4*t - 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2458, -2459, -2460?\n\"Answer: -r - 2457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3130691 is divided by 28.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 236*o**2 + 2*o - 3. Let a be c(1). Suppose -2*k - q = -115, -7*k + 3*q + a = -3*k. Is 29 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.19 + 0.35. Let p = 0.56 - c. What is the closest to p in 1\/2, -0.5, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -122, 6, -4, 7, -9, 4, 86 in ascending order.\nAnswer: -122, -9, -4, 4, 6, 7, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -2. Let u be ((-86)\/(-4))\/(b\/2). Let x = u + 90. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raar when four letters picked without replacement from {p: 5, a: 9, d: 1, q: 1, r: 4}?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*a**4 + 124263*a**3 + 10*a**2 + 1820763 wrt a?\nAnswer: -20*a**3 + 372789*a**2 + 20*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/6 and 49\/225?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 4*r = -c - 24, -5*r - c = -26. Let b(d) = d**2 - 7*d + 5. Give b(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112220101 - -210010222?\nAnswer: 20020121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234*j - 2 = 233*j. Let h(o) be the first derivative of 2\/5*o**5 - 2 + 0*o**4 + 0*o + 0*o**3 + j*o**2. Find the second derivative of h(g) wrt g.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 598?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14464 > 13975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 4*k**2 - 3*k - 3. Let l be ((-4)\/10)\/((-9)\/135). Let f(r) = -r + 2. Let b be f(l). What is the units digit of j(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (7 + -19)) + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/6)\/(2\/(-8)). Solve 0 = -0*t - y*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 303 + -452. Let n = 148.9 + t. Which is greater: -8\/7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 11:07 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1280021*l - 2104. Let t(d) = -1826*d - 3. Let x(a) = -3*i(a) + 2104*t(a). Let m(r) = -2*r. What is x(m(y))?\nAnswer: 3682*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 3*t + 13. What is the remainder when 103 is divided by f(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/17 + (-2115)\/85. Let o = z + 22. Let x(t) = -t**2 + t + 3. Calculate x(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 13*m + 5. Let z(d) = d**2 + 5*d + 11. Let i be z(-2). Is 2 a factor of h(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8387 < 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2097 - 487 = 154*q - 428 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5974253? (a) -0.1 (b) 2 (c) 1 (d) -0.2 (e) 2\/9 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142572, 285143, 427712, 570279, 712844, 855407, 997968?\nAnswer: 1140527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*r**2 + 2*r**2 + 30 + 4*r**2 - 31 + 7*r**2.\nAnswer: -8*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**4\/4 - 11*v**3 + 189*v**2\/4 + 117*v\/2 = 0?\nAnswer: -1, 0, 6, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8181288?\nAnswer: 2, 3, 199, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 294 = 10*k. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3857.4 minutes to microseconds.\nAnswer: 231444000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2703 - -2713 - (-2 - (-27 - -2)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -775, -773, -771?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -33252286.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 256949009?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19.3 and 43304.\nAnswer: 835767.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14329 and 801.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 (base 8) in base 14?\nAnswer: b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/3)\/(4\/(-42)). Let o be 32\/(-112) + 32\/14. Suppose o*g = f*g. Solve -l - 1 = -g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*p + 49*p - 29*p.\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -84. Suppose -3*b = -4*q - k - 13, -b - 3*q + 40 = 0. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*d = 46*d + 96. What is the highest common factor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3 = -8. Let y be (-6)\/h*(-15)\/315. What is the smallest value in y, -2\/5, 2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1196, -2, 18 in decreasing order.\nAnswer: 18, -2, -1196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c - 27. Let b be q(-15). Let h(t) be the second derivative of -2*t - 1\/2*t**2 - 1\/48*t**4 + 1\/6*t**b + 0. Let h(i) = 0. What is i?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 + 1.4. Let d = o - 1.2. Let p = -4.3 - -0.3. Put d, p, 4 in decreasing order.\nAnswer: 4, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47.9 + 48. Let u = z - 0.4. Put -4\/3, 2, u in decreasing order.\nAnswer: 2, u, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2) - 24\/16\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 5*v - 8 + 47, 4*v = 20. Suppose 3*q - 8 = a. Let p(u) = -q*u + 3*u - 7 + 4*u - u. Give p(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 + 18 - 43 + 52 - 2*t + t**3 to a*t**3 + b*t**2 + q + m*t and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -477848, -477926, -478064, -478268, -478544, -478898, -479336, -479864?\nAnswer: -480488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1949558 is divided by 1371?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 12*i + 9. Calculate j(-5).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 861569, 1723143, 2584725, 3446315, 4307913, 5169519, 6031133?\n\"Answer: 4*h**2 + 861562*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*z - 30*z + 68 = -295 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 163, 334, 505, 676, 847, 1018?\n\"Answer: 171*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**5\/30 - p**4\/24 + p**3 + 2*p**2 + 77*p. Is 13 a factor of y(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 3*l = -16, -3*l + 14 = 18*q - 14*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00946587365 rounded to 6 decimal places?\nAnswer: -0.009466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -2*k**7\/189 + 2*k**6\/15 - 14*k**5\/45 - 2*k**4\/27 + 10*k**3\/9 - 14*k**2\/9 - 2*k - 23. Solve o(v) = 0 for v.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.16 + -1683.52\nAnswer: -1688.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 44719 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 14378?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -3. What is the derivative of 7*x - 2*x**2 - 1 - f*x + 5 wrt x?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 137 = -93. What is q rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i**2 + i**2 - 3*i**2)*(-i + i + i)*(-16*i - 8*i - 24*i).\nAnswer: -192*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1107715049.151 and 0.02?\nAnswer: 1107715049.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l**3 + 8*l**3 + 0*l**3)*((-4 + 3*l + 4)*(-5 + 1 + 2) + 6*l + 6*l + 2*l)*(-3 + 17 + 3) as r + z*l + j*l**2 + o*l**4 + y*l**3 and give o.\nAnswer: 1632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 5*a**2\/2 - 10*a + 77. Let o be x(2). Which is bigger: 56 or o?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, v: 2, r: 2, p: 2}. Give prob of picking 2 r and 1 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (k + 3*k - 2*k + (-2 - 1 + 1)*(-2*k - 2*k + 2*k))*(5 - 5 - 28*k) as v*k**2 + y*k + x and give v.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2\/783, -1, -2\/3, 3?\nAnswer: -2\/783","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 24.179445 months?\nAnswer: 0.201495375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16048322 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1. Let w(d) = -d**3 + 14*d**2 + 33*d - 14. Let q be w(16). Let y(z) = z. What is q*j(o) + y(o)?\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -44*u**6\/15 + 4*u**5 - 9*u**4\/4 + 2*u**3\/3 - u**2\/2 - 6. Let f(t) be the second derivative of g(t). Factor f(r).\nAnswer: -2*(4*r - 1)**2*(11*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from eggeeeexpeeee.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-13)*(d\/d**(-7\/2))\/d)\/(d**3*d)**(-5\/6) assuming d is positive.\nAnswer: d**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, t: 1, l: 4, k: 1, i: 1}. Give prob of sequence iz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.006500003 + 31419.\nAnswer: 31420.006500003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g = a - 14, -3*a + 134 = 5*g - 0*g + 127 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25\/19, 5, -0.4, 2, 136 in ascending order.\nAnswer: -25\/19, -0.4, 2, 5, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-58)\/156 + 63\/(-18)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.3592559 years?\nAnswer: 0.03592559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 7*y**2 - 2*y + 522. Let c(m) = -4*m**2 + m - 522. Let s(v) = -4*c(v) - 3*q(v). What is the first derivative of s(x) wrt x?\nAnswer: -10*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 79343.17 tonnes?\nAnswer: 79343170000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 138 - 130. Is l\/(-6)*(-560391)\/52 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*u + 4*a + 3, u - a - 3 = 0. Let n be 2\/(-6) - 2\/3. Let l = n + u. Solve -l*b + 7 - 3 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 640472 is divided by 53308.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -666 + 786. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -303 - -303.13. Sort 5, -1\/4, r in descending order.\nAnswer: 5, r, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 134100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.36 - -0.16. What is the third biggest value in p, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/1735972 and -75\/991984?\nAnswer: 6943888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12630\/(-40))\/((-3)\/56). Suppose -2905 - x = -3*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2752 is divided by 58.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 6:33 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -23*s**7\/42 + s**3\/2 + 3*s**2 + 24*s + 2. Find the second derivative of w(x) wrt x.\nAnswer: -460*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*x - 1, -a - 3*x = -23. Suppose 0 = -7*o + 6*o - 20. Let b = a + o. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.14945mg in nanograms?\nAnswer: 2149450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 10:43 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -457.\nAnswer: 14\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 25*b + 46464 = 11*b. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 6, 4*n + 8 = 6*n + 2*h. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2)\/((y**(8\/5)\/y)\/y) assuming y is positive.\nAnswer: y**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 675591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76 + 72. Let q be ((-100)\/(-16))\/((-47)\/12 - w). Calculate the greatest common factor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 75?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from {t: 1, b: 5, j: 2, x: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 10850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 5*s = -6. Suppose s*h = 6 + 9, u + 5*h = 27. Let m = u + 1. Solve 2*i + i = -m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -3.5. What is the second smallest value in 1, y, 4\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -52*k + 982. Give i(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, x: 1, c: 1, o: 1, j: 1}. Give prob of sequence xco.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8135916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(5\/4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c**7\/c)\/c)\/c)**(13\/7)\/((c**17*c)\/c*(c**(6\/19)*c)\/c) assuming c is positive.\nAnswer: c**(-1068\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**3 - 10 - 9*r**2 - 2*r + 2*r**3 - 13*r**3 + 5*r**3. Determine i(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/2 of a decade in months?\nAnswer: 4620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 - 34a4?\nAnswer: -3490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5587097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1382733.\nAnswer: 3, 11, 13967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -u + 20, -2*q - 60 = -5*q + u. What is the highest common factor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m. Let d(v) = 2*v - 1. Let p(u) = 4*u - 4. Let t be -5 + (-2)\/1 + 8. Let k(z) = t*p(z) - 4*d(z). What is r(k(x))?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Round 432540000 to the nearest 1000000.\nAnswer: 433000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -470 divided by 255?\nAnswer: -94\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, i: 1, l: 1, j: 1, s: 1, a: 3}. What is prob of picking 3 a?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 137214 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4561144 is divided by 456111.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 354383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 44*q**2 + 42*q - 21. Let y(p) = -7*p - 106. Let t be y(-9). Calculate the remainder when 27 is divided by b(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1059\/(-1765)*(-10)\/(-48). What is the fourth biggest value in -0.1, -5, -0.02, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111431030 (base 6) in base 8?\nAnswer: 7623132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*q - 6 = u, 0 = -u + q + 8. Let b(a) = -a**2 + 3*a + 3. Let j be b(u). Let f(d) = d**2 - 4. Give f(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472531 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 2 - (1 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16451400 rounded to the nearest ten thousand?\nAnswer: -16450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*o**4 + 35*o**3 + 458 wrt o.\nAnswer: -16*o**3 + 105*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 9 + 43. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4793?\nAnswer: 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z + 175 = 22*z. Let f = z - 16. List the prime factors of ((-3)\/3 + 89)\/(6\/f).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 6. Let o be w(5). Let a(p) = -6*p**2 + p. Let u be a(o). Let x be (u\/1 - -1)*-1. Solve x*j + 6 = -6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 40*q**2 + 232*q - 42. Calculate v(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 4*w = -14, n - 163*w - 16 = -168*w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from werwwrd?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s. Let i(b) be the third derivative of -1\/60*b**5 + 4*b**2 + 0*b + 0*b**3 + 10 - 1\/8*b**4. Calculate l(i(o)).\nAnswer: -2*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*d + 2414, -51*u = -47*u - 3*d - 3213. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + x**2 - 1. Let z(i) = 3*i**3 - 7*i**2 + 8. Let n = 4916 - 4930. Calculate n*c(a) - 2*z(a).\nAnswer: 8*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86522141 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1002536, 4010140, 9022814, 16040558, 25063372, 36091256?\n\"Answer: 1002535*o**2 - o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7*n = -3*u - 595, -n = 3*u + 611. Let a = u + 315. List the prime factors of a.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e - 52?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*u + 3 = 0. Let i be (0 - 2)*(0 - 3). Suppose -i*v + 3 = -5*v. What is the remainder when v is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 385 divided by -558202\nAnswer: -385\/558202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4321469.\nAnswer: 151, 28619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5829 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 10:44 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13461345 and 414285.\nAnswer: 5835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*i**5 - 2621*i**2 + 686234*i wrt i?\nAnswer: 620*i**3 - 5242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2400*b**4 - 4886*b**2?\nAnswer: -57600*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.6401 and 0.012.\nAnswer: -0.0676812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/120 and 103\/12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -61, -1.\nAnswer: -61, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 10479*h**2 + 187*h - 33. Is j(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.415635 milligrams to micrograms.\nAnswer: 7415.635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d + d - 3*d + 2*d + d - 4*d + (4*d + 3*d - 5*d)*(-2 + 1 + 3) + 3 - 2*d - 3.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -392535, -785070, -1177605?\n\"Answer: -392535*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 1488184?\nAnswer: 4464552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 229959529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.1, 0, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2 + 2*n. Let j be m(2). Solve 8*f = 3*f + j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 1. Let a be f(1). Suppose 4*t - 2*x - 864 = 0, 0*t - 438 = -2*t - a*x. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 109 = 24. Let c(f) = f + 13. Suppose 2*i - 20 = x, 5*x + 3*i - i + 40 = 0. Let s be c(x). Solve -2*n + n + 5*z = -u, 3 = -3*n - s*z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -611*y - 47. Determine a(0).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -121721 divided by 2\nAnswer: -121721\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {a: 8, u: 5}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -11\/5 (b) 19 (c) 1 (d) 2\/7 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1004380843 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 591385 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9685016169 plus -0.2?\nAnswer: -9685016169.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 16 - 52. Let h(q) = 5*q - 31. Let d be h(p). Suppose 3*j + 86 = m - 71, -j - 584 = -4*m. What is the highest common factor of m and d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 5:14 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than 113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/20 - 54\/(-8). Suppose -s - h = -1, -3*h + r = -2*s - 6. Let j be (2\/(-4))\/((-3)\/2). Which is the third smallest value? (a) s (b) j (c) 10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 815 a factor of 1830379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5645399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/9 + (-3)\/18)\/((-3915)\/(-116)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 + 3842*f**3 + 15389*f**2 - 19230*f.\nAnswer: -f*(f - 3846)*(f - 1)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 8)*(-3 + 15*l**2 + 16*l**2 - 10*l**2).\nAnswer: 105*l**2 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -317*m**2 - 6 + 689*m**2 - 3 + 9.\nAnswer: 372*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 1. Let m be y(4). Suppose 5*p = -5*t - 2 - m, 2*t = -2. Let f(o) = o**3 + 4*o**2 + 7*o + 43. Let x be f(-4). Solve p = 3*u - x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 10094.\nAnswer: 20188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 - 24. Suppose -t - t + y = 0. Is 9 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204 divided by 68.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 300 and 16770?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/5, -3\/8, -10\/19, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/24)\/(2\/16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, a: 2, s: 1, j: 4, l: 2, g: 1}. Give prob of sequence au.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26936*b*f*w + 46*f*w + 2*f - 1 wrt b.\nAnswer: -26936*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 f when three letters picked without replacement from {n: 3, f: 4, u: 11, q: 1}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 761 - 761. Factor -3\/7*z**3 + u - 27\/7*z - 18\/7*z**2.\nAnswer: -3*z*(z + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 15 = -5*d, -4*d - 2*f + 0*f = -18 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/34 + (-1729)\/13685)\/((-3)\/30)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -27*t - 404. Give c(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctccaccaazcccabm. What is prob of sequence am?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 5*l = -k - 10, -4*k - l = -33. What is the remainder when 11 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 582135084?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87337068 by 156.\nAnswer: -559853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 65*y**2 + 27107*y - 26332. Determine b(-418).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107 - 101. Suppose 3*u + 474 = h*u. List the prime factors of u.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 416.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*r)*(5 - 16 - 6)*(3 - 6 + 4).\nAnswer: 34*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 15, x: 4}. What is prob of picking 1 y and 2 x?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 5:48 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7111932 divided by 4\nAnswer: 1777983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(25)\/sqrt(5) + 1 + -2)**2.\nAnswer: 4*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**6 - 6*w**2 + 3*w**2 - 5*w**2 wrt w?\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 107*f**2 - 2*f + 1. Let c(m) = m**2. Determine 4*c(g) + r(g).\nAnswer: 111*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 400 divide 1603200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -23 + -14 - (5 - 14 - (-1 - 1))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 9*y**2 - 8*y + 7. Let b be f(-8). Suppose i = 2*r + 3, -4 = -2*i + b*r - 2*r. What is the greatest common factor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32290955\/318 + -101544. Find the common denominator of -88\/45 and l.\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -139, 41, 4 in descending order.\nAnswer: 41, 4, 2, 0, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 633823909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -159*a**2 + 160*a**2 + 0*a**3 - 5 - a**3 - 2*a**3 to m*a**2 + u*a + o*a**3 + b and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 647765 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/h**(1\/51)))*h)**(-14\/3)*(h*h\/h**(-20)*h*h)\/h**37 assuming h is positive.\nAnswer: h**(-3403\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) -4 (c) 4 (d) -2\/260583\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*sqrt(6300))**2 + sqrt(6300) + (2 + -2*sqrt(6300) + sqrt(6300) + sqrt(6300))**2.\nAnswer: 30*sqrt(7) + 25207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -13. Suppose 0 = 5*m + 50, -18*h + 13*h + 6 = -3*m + 1. Sort i, h, 5.\nAnswer: i, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuu. Give prob of picking 1 u and 1 v.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - sqrt(170)*3)*6 - sqrt(170) - (sqrt(170) + 2*(sqrt(170) + 3*sqrt(170))))\/(-6*sqrt(120)\/(-6*sqrt(48))).\nAnswer: -44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3964, 7963, 11976, 16009, 20068, 24159, 28288?\nAnswer: 32461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -z**2 - 880674925*z - 94456489 wrt z?\nAnswer: -2*z - 880674925","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 59320.2 * 1.3\nAnswer: 77116.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2*sqrt(684) - sqrt(684)) + -6*sqrt(19)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = -5*r. Let u(z) be the first derivative of 16*z**3\/3 - z**2\/2 - 2. Does 7 divide u(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 661 is divided by 253?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 48 - 48. Suppose 0 = -b - s*b. Solve b = -2*a - 4 + 14 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7241 = 3*s - 4627. Is s\/16 - 1\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 260 and 640?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24771, -24819, -24905, -25035, -25215, -25451?\n\"Answer: -t**3 - 13*t**2 - 2*t - 24755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 279 and 29729?\nAnswer: 267561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*m - 24*m + 127. Calculate the remainder when m is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 15, -5*r = -8*r + 2*u + 3. Suppose 0 = 5*x - 18 - 22. What is the least common multiple of r and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 9:51 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2596, 2588, 2576, 2560, 2540?\n\"Answer: -2*c**2 - 2*c + 2600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*d**4 - 40*d**3 + 64*d**2 + 40*d - 12 = 0. What is d?\nAnswer: -1, 3\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.1 (b) 0.02 (c) -0.3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.386 and 1.09?\nAnswer: 0.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 13*d**2 - 13*d + 12. Let o be y(8). Suppose 23*s = 27*s - o. What are the prime factors of s?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -129 (c) -2 (d) -0.1 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7695092161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + -7 + (-12)\/(-16). Solve -3\/2*t**3 + 3\/4*t**2 + 3\/2*t - v = 0 for t.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -7035529\nAnswer: 2110658.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*o + 806383 = 6971*o + 212647 for o.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaazzzazdaaaaaaaaazd. What is prob of sequence azd?\nAnswer: 13\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0292 times 0.21796?\nAnswer: 0.006364432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1544, -3, 0, -16, 5, 1 in descending order.\nAnswer: 1544, 5, 1, 0, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -157*q**3 - 4*q**2 + 8*q - 149. Let f(c) = 157*c**3 + 3*c**2 - 6*c + 150. Let s(t) = -4*f(t) - 3*l(t). What is the derivative of s(x) wrt x?\nAnswer: -471*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-4)*(-1 + (-1 - 4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419001 is divided by 5436.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3\/10 - 141*x**2\/5 + 12744*x\/5 = 0.\nAnswer: -354, 0, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 12, -3*r - 17 = -2*f - 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 8.53, 1 in decreasing order.\nAnswer: 8.53, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, x: 3}. What is prob of picking 3 x and 1 n?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 b when two letters picked without replacement from {f: 2, b: 9}.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**3\/3 - 93*k + 251. Let x(f) = -f. Give x(i(z)).\nAnswer: -z**2 + 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/6, -2, 2\/7, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/1055, 0.3, 2?\nAnswer: -2\/1055","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**4 - 93*k**3 + 86*k**2 + k. Let p(b) = -b**4 - b**3 - 4*b**2 + b. Let s(x) = -l(x) + p(x). Factor s(w).\nAnswer: -2*w**2*(w - 45)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*s + 6*s = 161 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*i - 378 - 3174, -x = -4*i + 875. Let p = -874 - x. Calculate the greatest common divisor of p and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 u when four letters picked without replacement from {t: 2, u: 2, z: 4, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 0 - (49 + -52)) + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 551.59 - -1280.9896107\nAnswer: 1832.5796107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -177*f**2. Let z(s) = s. Give b(z(d)).\nAnswer: -177*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/6)\/(7\/((-21)\/(-2))). Let y be (5 - k) + (2 - 1) + -4. What is the units digit of (-3)\/y + 4\/1 - -100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 u, and 1 a when three letters picked without replacement from mmddmcamdum.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256*k + 172*k - 171*k - 219*k.\nAnswer: 38*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 e, and 1 s when four letters picked without replacement from snsenssssesnn?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10573 a factor of 1674284889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6340\/9 + 348994\/495. Calculate the common denominator of 97\/22 and o.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 5, -1, -7, -13, -19?\n\"Answer: -6*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(7200)\/sqrt(10).\nAnswer: 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14 + 29 + 7*l**2 - 15 - 8*l wrt l?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4013 is divided by 33\/((-9801)\/(-5373)) + (-1)\/11.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(7920)*-1 + sqrt(7920)) - sqrt(7920))\/(sqrt(176)*-1 + -1*sqrt(33)\/sqrt(3) + sqrt(11)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = 10*y + 17*y - 72. Let c(v) be the third derivative of 0*v**4 + 1\/12*v**5 - 1\/120*v**6 + 0 - 9*v**y + 0*v + 1\/2*v**3. What is c(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.134 (b) -0.4 (c) -10\/13 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 135\/(-75) - (-9398)\/5210. Is a > 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-20)*(0 + -4). Let r be (y*(-5)\/3)\/(8\/(-24)). Suppose 2*v + 3*w - 7 = 0, -v = -2*v - 2*w + 3. Calculate the highest common divisor of v and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3964?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 o, and 1 u when three letters picked without replacement from {u: 2, h: 5, o: 2}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 40 = 34 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 0*l**3 + 2*l**3 - 3*l**3 - 3*l**2 + 4. Let m be k(-3). Suppose m*f - 19 = 1. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 16 = -5*j, -5*t - 18 = 2*j + 7. Let u be (-2 - t) + 3 + 2. Suppose b = u*b. Which is smaller: 3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 57.59, -5\/7, -1\/3, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 15 = 4*g. Solve -5*t + t = -g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5721 plus -60?\nAnswer: -60.5721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 11:41 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200 and 220.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 43\/4 of a kilometer?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 523 divide 530378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5*y - 3 + 25*y)*(3*y + 18*y + 4*y).\nAnswer: 500*y**2 - 25*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 - 49. Let m(r) = -21*r + 10. Is m(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Let q = b - 0. Let w = q - 0.8. Are -1 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from sssuusoossgg.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2528\/553*(-825)\/(-400).\nAnswer: 66\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 272\/(-72) + 2 - (-2 + 0).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74780 is divided by 1216?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -65*d**2 + 3*d + 5. Let t be m(-2). Let i = t + 451. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n + 6*n - 6*n)*(14 - 8 + 5).\nAnswer: 88*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28109 is divided by 125?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/((65\/221)\/(28\/238))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14895 and 175561407.\nAnswer: 2979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1025 is divided by 60?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 27*k - 14. Let a be v(14). Let d = a - 114. What is the remainder when d is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 12, -5*r - 271 = 3*c - 262 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 189756617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 5*p = -25, -2*v - p = -5*v - 14 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 9:29 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5561 and 581?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 12950.67 to the nearest 100.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*k**5 + 81564*k**4 + 44834*k**3 - 2040*k**2 - 2038*k = 0. Calculate k.\nAnswer: -1019, -1\/2, -1\/4, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100202 - 2?\nAnswer: 1100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -61, -955, -3521, -8593, -17005, -29591, -47185?\n\"Answer: -139*p**3 - 2*p**2 + 85*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-2 - 0 - -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25847, -25752, -25511, -25052, -24303, -23192, -21647, -19596?\n\"Answer: 12*o**3 + o**2 + 8*o - 25868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -207 (base 8) to base 4\nAnswer: -2013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y + 0*y = 782. Calculate the remainder when 97 is divided by y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**4\/13 - 4*j**3\/13 + 2*j**2\/13 + 4*j\/13 = 0 for j.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 23 = 11. Let j = 32 - 19. Solve -j = -2*h + 3*f, p*h + 8 = -6*f + 2*f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 19\/(1026\/(-204)). Put 2, 0.5, a in decreasing order.\nAnswer: a, 2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832 is divided by 415.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3568 - 3569. Which is the nearest to x? (a) 2\/23 (b) -3 (c) 0.1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53254 - 352?\nAnswer: -54050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -129024 and 20302034.\nAnswer: 20173010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(1 - 1 + 2*w + 4 + w - 4 + 4 - 4 - 3*w + (3 - 3 + 2*w)*(-1 + 0 + 0) + 3*w - w - w - 2*w + 0 + 0 - 4*w + 4*w + w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+188734214596\nAnswer: 188734214596.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 819823 or 819817?\nAnswer: 819823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*t + f, t + 2*t = 4*f + 3. Let i = 59 - 16. Suppose -i = -d - 5*h, 6*h - h + 275 = t*d. List the prime factors of d.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*g**4*s - 4*g**4 + 2582*g**3*s - 2583*g**2*s - 2*g**2 - 13*g*s wrt g?\nAnswer: -432*g*s - 96*g + 15492*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 9:00 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2315.734 kilograms in micrograms?\nAnswer: 2315734000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 9 + 12 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 - 73. Suppose -3*s = -5*a + 445, -d*a + 2*a + 89 = -4*s. List the prime factors of a.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*j - 1 - 130*j + 3 - 32*j.\nAnswer: -334*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4088 and 3774976?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-9))\/(-1*((-208)\/48)\/(-13)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 23862136*v + 4772427.\nAnswer: (v + 4772427)*(5*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -9. Suppose -t*j - 123 = -27. Let q = j + 37. Is q 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 9:13 AM and 3:12 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**4\/8 + 3*d**3\/4 - 21*d**2 - 133*d. Factor k(u).\nAnswer: 3*(u - 4)*(u + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 6 + 6)*(1 - 2 + 4).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 19*v**2 + 344*v + 52. Let h be p(-18). Solve 13*s = -h + 42 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12522.\nAnswer: 2, 3, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 5*b + 5*j - 65, -4*b + 3*j + 31 = 0. Let o be (-76)\/b + 6\/(-15). Let y = -5 - o. Solve y*p = -p + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/692 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 13*i + 7*r - 15658, -7826 = -2*i - 4*r. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**4\/4 + 13*v**2. Let q(a) = a. Let s(c) = -3*q(c) - t(c). Let y(j) = 13*j**2. What is y(s(x))?\nAnswer: 117*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 658549?\nAnswer: 658549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*c + 126 - 74 = -203 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 3 (c) -628 (d) 0.5 (e) 0.1 (f) -1 (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, r: 3}. Give prob of sequence crc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + p**2 + p**2)*(-4 + 4 + 1).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3) - 1896\/144. Let v = y + 13. Is -23 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j - 13. Let d(i) = i - 3. Let v(x) = -9*d(x) + 2*r(x). Let c(k) = k + 14. Let z be c(-7). Suppose -5*p - z = 8. Determine v(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 7 (c) -0.47 (d) -2\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 1577 = h, 3*h + 1556 = 4*h + 3*f. Suppose h = 5*a - 5*k, 12*a + 2*k = 15*a - 942. Is a a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -34 - -69403?\nAnswer: 693be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 168 + -187. Let h = z - -19.1. Sort h, -0.5, -13.\nAnswer: -13, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/141 and -37\/47.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 285\/4*s + 35\/4*s**2 + 70.\nAnswer: 5*(s + 7)*(7*s + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.4 + 1.4. Which is smaller: 5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.857228 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*u - 3. Suppose l + u*l + 50 = 2*x, -4 = -2*l. Let z = x + -18. Solve 6*p - z = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6*v**3 - 10*v**2 + 2781*v + 5591. Calculate k(-2).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 27205014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 948 + -8533\/9. Let d = -20.5 + 20.7. Let t be 2\/4 - (-2)\/8. Put t, d, j, 2\/7 in ascending order.\nAnswer: j, d, 2\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -1)\/(1*2\/6). Let p be (2 + x)\/5 + -2*1. Let l be (4 - (3 - p))*2\/(-4). Are l and -2\/89 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 3*g - 1. Suppose 4*x - 9*x + 10 = 0. Let y(n) = -2 - 1 + 3*n**x + 5 + 7*n. Let v = -5520 + 5518. What is v*y(w) - 5*d(w)?\nAnswer: -w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(14\/(-36)) + 66\/154. Suppose 24 = -5*c - 4*y, c + 3*c - 5*y + 11 = 0. Let o be (-3 + (l - 0))\/(c + 2). Solve o*n + 8 = 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(85) - (sqrt(85) - (sqrt(85) + 2*(sqrt(85) + sqrt(85)*-1) + sqrt(85))))*3*6)\/(-3*(sqrt(500)*1 - sqrt(80)*-5)).\nAnswer: -2 - 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 88689314 to the nearest 1000000.\nAnswer: 89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in nineteen tenths of a millennium?\nAnswer: 190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 36 = -2*t, 0 = 18*t - 16*t + 3*d - 29. Calculate the remainder when 72 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 15*l**2 + 12*l. Let f(o) = -o**3 + 14*o**2 + 12*o + 1. Let q(m) = -3*f(m) + 2*x(m). Is q(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71\/9 + 551\/63. Let c be ((-5)\/(-9))\/((-40)\/(-48)) + -1. Sort -0.1, 0, c, i in descending order.\nAnswer: i, 0, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 9*i + 10 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -19*n + 149. Let p be o(7). What is the highest common divisor of 368 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.188 + -4.188. Which is the third biggest value? (a) 2\/25 (b) 247 (c) 0.4 (d) y (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*p**4*s**3 - 4*p**4 + 914*p**3*s**3 - 2*p**2*s**3 + 20*p**2*s + s**3 - s wrt p?\nAnswer: -144*p*s**3 - 96*p + 5484*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.74 or 8\/251?\nAnswer: 1.74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 261085272 and 54?\nAnswer: 2349767448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 13*m**3\/3 + 19*m**2\/2 + 5*m + 39. Let p(u) = -6*u**2 - 10*u - 2. Let o(d) = -2*h(d) - 5*p(d). What is q in o(q) = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-140)*50)\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2899 + 3912. Let z = -3772 + l. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14400229, -14400222, -14400215, -14400208, -14400201, -14400194?\nAnswer: -14400187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/(-168)*-4*(-7)\/(-3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3005 + -2846. What is the least common multiple of x and 5671?\nAnswer: 17013","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*d*v**4*x + 2*d*v**2 - 6*d*v - 2*d*x - 3*v**5*x + 7*v*x wrt v.\nAnswer: 228*d*v**2*x + 4*d - 60*v**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 4\/63 (b) -1\/86 (c) -2\/21 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-7) - (-24)\/35)*-15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(2\/15)*z))\/(z\/z**6))**10*(z**(-1)\/z)**(-11\/5)\/((z\/(z\/z**5))\/(z**(-2\/19)\/z*z)) assuming z is positive.\nAnswer: z**(13669\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.059 smaller than 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2270 - 2?\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1584)*-2 - sqrt(1584))**2*-1 + 1*(sqrt(1584)*-4 + sqrt(1584)).\nAnswer: -14254 - 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-10 - 3) + -5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**4 + 546498*m**3 + 13660125*m**2 - 81963450*m = 0. Calculate m.\nAnswer: -182141, -30, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*r + 343439 + 131763. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3612888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1731049902.\nAnswer: 2, 3, 3257, 29527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1095 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51\/2 - -26. Let w = 384 - 382. Factor 1\/4*g**3 + z - 1\/4*g - 1\/2*g**w.\nAnswer: (g - 2)*(g - 1)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*q - 4*a - 2, 35*a - 32*a = 3*q - 12 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -2*c**3 - 3*c**2 + c + 2. Let u(a) be the first derivative of -a**3\/3 - a**2\/2 - 32. Calculate -2*r(f) + 14*u(f).\nAnswer: -2*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3185758 or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 33*c - 1\/10*c**5 - 16\/3*c**3 + 0 + 0*c**2 + 1\/10*c**6 - 1\/12*c**4. What is the third derivative of u(p) wrt p?\nAnswer: 72*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 1. Let f(w) = -3*w - 11. Calculate 5*c(t) + f(t).\nAnswer: 2*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*l + 3889516 - 8606533 = 3536559. What is the thousands digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 19*r + 35*r + 1.\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483940726.\nAnswer: 2, 241970363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/((t*t**(-6))\/t))*t\/(t**(-1\/7)\/t) assuming t is positive.\nAnswer: t**(-27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-16)*(-2)\/4. Suppose 4*z - 9*z + 545 = h. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.5, 0, -0.27 in increasing order.\nAnswer: -0.27, 0, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 3042.\nAnswer: 6084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 3*s - 2*y, 5*s + y - 31 = 80. Suppose -3*q + 42 = -5*c, -18 = 5*c - 5*q + s. Let j(r) = r**2 + r + 9. List the prime factors of j(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 34 = 5*y, 0 = -40*y + 48*y + 4*o + 48. Let d = 0.1 - -0.5. Let z = -0.7 + d. What is the closest to -1.1 in y, 1\/4, z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(22\/(-10) + 2). Let k be ((539\/(-110))\/(-49)*-5)\/((-1)\/(-6)). Sort d, k, -1, -56 in increasing order.\nAnswer: -56, d, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*a**3*k**2 + 181*a**3 - 101284*k**2 - 2*k wrt a.\nAnswer: 60*a**2*k**2 + 543*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t + 22. Let d be l(-12). Which is the nearest to d? (a) -3 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**4 + 6*i**4 + 6*i**4 + (1 - i - 1 + (2*i + 4*i - 5*i)*(-3 + 0 + 2) + 3*i - 2*i + 0*i)*(27093*i - 27093*i - 182*i**3).\nAnswer: 194*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -569 + 576. Sort -2, 5, v, -4 in descending order.\nAnswer: v, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 2472. Let j(f) = f - 1645. What is -5*b(r) - 7*j(r)?\nAnswer: -2*r - 845","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 + -30. Let g be -158*k\/(-24)*(-1 + -2). Round g to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -363, -796, -1519, -2532?\nAnswer: -3835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in -22, -0.5, 0.1, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 3. Suppose -32 = -f*b + 13. Is (-2)\/b - 1038\/(-54) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -102787.31 less than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/4)\/((88\/(-40))\/11))\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 25 + 18 + 5*p)*(-p**4 - p**4 - p**4).\nAnswer: -15*p**5 - 60*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-1 + 2) - (-52 + 48)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/49 (b) 0.3 (c) -0.18 (d) 2\/15 (e) 0.1 (f) 0.04\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 20 = 3*n, -4*n = -435*f + 433*f - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1639318?\nAnswer: 2, 819659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58847 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -3. Suppose -3*x + 299*x - 1345 = 727. Suppose -r*j = -w + 27, w - 43 = -x*j + 2*j. Is w <= 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 4.285.\nAnswer: -21.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227929 - 227929 + 108*o.\nAnswer: 108*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 35 - 215. Let r be (-12)\/1*4\/(-16) + c. What is the tens digit of (588\/(-20) + 1)*r\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -38094.\nAnswer: 114282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - f - 325 = -k, 3*k + 3*f = 483. Suppose -4*n = -7*n + k. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.6, 20, -2\/3, 1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 5:00 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) - (sqrt(52) + sqrt(468)))*2 + sqrt(1300)*-2 + sqrt(1300))\/((sqrt(16)\/sqrt(4)*-4 + sqrt(4))*-5).\nAnswer: -11*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**21*w*w)\/w**(-16))\/(w**(-3\/2)\/w)**(-3) assuming w is positive.\nAnswer: w**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + (sqrt(637) - (sqrt(637) + 1 + 5)) + sqrt(52)\/(sqrt(576) + sqrt(576) + sqrt(576) + sqrt(576)*2)*3.\nAnswer: -5 + sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 31*f - 57. Let p be i(8). Let n(d) = -63 - 71 + p + 2*d - 62. Determine n(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -38*f + 14. Let l(i) = -13*i + 5. Determine -4*b(g) + 11*l(g).\nAnswer: 9*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.23305 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 220664 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 13*n**2 + 276*n + 2098. What is t(-7)?\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1513 + -17?\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/((-9)\/21) - 4. Find the third derivative of 9*w**3 - 3*w**3 - n*w**3 + 10*w**3 - 6*w**2 wrt w.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92 + 167. Suppose -3*z + p = 2*z. Suppose -y + 5*k = 2*k + z, k = y + 5. Solve 2*i + i + 3 = y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111441 is divided by 36169.\nAnswer: 2934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 491899729 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 6:33 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(325) - 1*sqrt(325)) + -5)**2 + ((sqrt(65) - 1*sqrt(65))*-5)\/(sqrt(405) - -2*sqrt(405)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -5. Let v(t) = 1. Let g = -11 + 15. Let m(b) = 0*b - b + g + 1. Determine d*m(i) + 5*v(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 317376 divided by -6\nAnswer: -52896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 2*h + 8)*(-5 + 3 - 4*h - 9*h) in the form y*h**2 + o + r*h and give y.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/(-10) + (-2736)\/(-90) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 19) + 1 + -2 + 22 - -13\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 25*q + 10 = 0. Let d = -2 + q. Calculate the remainder when (-3 + 17)\/(d\/(-18)) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**3 + 2*f**2 - 7*f - 4. Suppose -49 = -13*j + 3. Let u(t) = t**2 + t + 1. Let s(c) = j*u(c) + r(c). Find o such that s(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.11 - 0.11. What is the fourth biggest value in 3, i, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -601539860 - -601539836.00000011. Let n = h + 24. What is n rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 1:16 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -3, -21, 29?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-70)\/21)\/(4\/(-90))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 a when two letters picked without replacement from ffflfafrffalff?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m + 70*m - 273585 = 0. List the prime factors of m.\nAnswer: 3, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 2*p = -3*p, 4*o + 3*p = -13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*12\/(-72)*-27*(-1)\/2.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/sqrt(2) + -3 + 5.\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -2, -1\/13.\nAnswer: -2, -1\/13, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*z**2 + 20*z**2 - 1766*z**3.\nAnswer: -1766*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s = 8. Suppose -42 = 2*v - 4*v - q, -v + s*q = -21. Let p be 9\/(-19)*7\/v. Does p = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 98?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/(-2))\/(-4) + 7. Let r be (-10)\/(48\/21 + f\/(-14)). What are the prime factors of 93 - (3\/15 - (-11)\/r)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 3*h**4\/4 + 11*h - 5. Let v(x) be the first derivative of g(x). Let r(w) = 3*w. Give v(r(u)).\nAnswer: 81*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3715\/(-10625) - 2\/(-10). Let d = w - -4\/125. Which is the nearest to 1? (a) 1 (b) 0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 + 18*w**2 - 13*w + 24. Let y be -3*24\/450*-50. Give i(y).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**4\/4 - q**3\/3 - q**2\/2 - 5*q - 4. Let k be y(0). Let c = 1 - k. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/7630 and 12\/709?\nAnswer: 5409670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0206432192 rounded to five dps?\nAnswer: 0.02064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g**3 - g**2 + 2*g - 1. Let n be 6\/(-8)*(-2 + (-8)\/12). Suppose 34*t - 32 = n. What is a(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-36) - 286\/(-36)*4. Suppose -26 + r = -6*o. Let w = 0 - o. Put -16, 2, w in ascending order.\nAnswer: -16, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/8)\/(1\/4)*1. Put 0.05, -0.16, r in descending order.\nAnswer: r, 0.05, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*p**3 + 24 - 3*p - 2*p**2 + 3*p + 69*p**3 to l*p + f + n*p**2 + x*p**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -30*s - 1083. Let n be h(-36). Which is the third smallest value? (a) 4 (b) -7\/12 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*v = 940, 4*v + 1604 = 5*y + 3*v. Suppose 0 = 3*j + b - 227, 3*b + y = j + 3*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1124*r*w**6 - 31*r*w**3 + r*w**2 - 7*r*w + 13*r - 4*w**2 - 11*w wrt w.\nAnswer: 134880*r*w**3 - 186*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 - 24*b + 30. Determine a(13).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6222+-115\nAnswer: 6107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -799507.9 to the nearest one hundred.\nAnswer: -799500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 9:57 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*o - 1. Is (818\/6)\/((-56)\/o + 5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 644114.\nAnswer: -6441140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1083815603 to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 y, and 1 c when four letters picked without replacement from {s: 3, u: 2, y: 1, c: 4, q: 2, j: 3}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4148338811?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/259560 and -127\/62047200.\nAnswer: 1302991200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368 - 184 - 184 - 2*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1412 is divided by ((-214)\/14)\/((-461)\/3227).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 3*n**2 + 4*n. Let g be b(-4). Suppose a - 2 = -g*a. What is the second derivative of -2*f - 5*f**3 + 10*f**2 - 10*f**a wrt f?\nAnswer: -30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 868.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + sqrt(108)*3)**2 + sqrt(9)\/(sqrt(15)\/sqrt(5)) + sqrt(30)\/(sqrt(30)\/sqrt(3)) + sqrt(3) + sqrt(48) + -2.\nAnswer: 7*sqrt(3) + 1726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7 - 2*v + 0 - 15 + 9. Let x(j) = 2*j - 1. Calculate -3*h(c) - 4*x(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.96162ml in litres?\nAnswer: 0.00496162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 4471.\nAnswer: 1788.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from niinninniinnnninanni?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -37. Calculate the smallest common multiple of j and 2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*j**2 - 16*j + 16*j)*(-12 + 24 - 12 + 34*j**3).\nAnswer: 578*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 2*n**3 - 3*n - 8 to k*n**2 + b + v*n + c*n**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 89 - 93 - z**3 - 7*z**2 - 8*z - 2*z**2. What is h(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8906645, 8906644, 8906643?\n\"Answer: -o + 8906646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-16))\/(3\/(-36)). Let t be (-2)\/(-2) - (l - -3). What is the highest common divisor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 8*s**2 + 8*s + 4. Let w be d(6). Let l be (-30)\/4*w\/(-30). Let q(b) = 6*b + 5. Let x(r) = -7*r - 6. What is l*x(f) - 6*q(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -7\/2*a**4 + 0*a**3 - 36 + 61\/2*a**2 + 2*a**5 + 0*a. Find the second derivative of f(m) wrt m.\nAnswer: 120*m**2 - 84*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29953.272ns?\nAnswer: 0.0000004992212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22 - 0 - 1\/1. Suppose 5 = -g - 2*y, 4*g - 5*y + 2 = 34. Calculate the greatest common divisor of j and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -20*f**3 - 3*f**2 + 17. Let u(s) be the second derivative of -7*s**5\/20 - s**4\/12 + 3*s**2 - 187*s + 1. What is -4*j(y) + 11*u(y)?\nAnswer: 3*y**3 + y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/(-8))\/((-1)\/(-16)). Let h = -10 + s. What is the highest common divisor of 36 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 28 = 4*o + 87, -o - 5*j = 10. What is the units digit of (-2349)\/(-15) - 6\/o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.997246 litres in millilitres?\nAnswer: 2997.246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**4\/12 + 4*c**3\/3 - 2*c**2. Let v be y(6). Let s(z) = z**3 + 5*z**2 + 2*z - 5. Is s(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9415989*-0.21\nAnswer: -1977357.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 11:14 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/15 (b) -1959 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b271c7 (base 13) to base 8\nAnswer: 17667200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -22 - -25 - (-1 + 2). Find the third derivative of 3332*y**2 - 3333*y**i + 2 + 2*y**5 - 19 - 3*y**4 wrt y.\nAnswer: 120*y**2 - 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -11*r**3 + 5*r**2 - 5*r - 5. Let x be (-6)\/(-10)*((-949)\/(-39) + -16). Let d(b) = 104*b**3 - 48*b**2 + 48*b + 48. What is x*d(p) + 48*s(p)?\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 106. Let m(n) = 60. Let x(r) = 7*m(r) - 4*o(r). Give x(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-405)\/24 + (-10956)\/2656?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 757511.7 meters in micrometers?\nAnswer: 757511700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 174791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**3\/6 - 9*o**2\/2 + o. Let q(h) = -16. Let x(d) = 0 + 3 + 1. Let r(b) = -2*q(b) - 9*x(b). Calculate 2*a(l) - 5*r(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4059 by -369.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 454?\nAnswer: 3632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4927, 11836, 18745, 25654, 32563?\n\"Answer: 6909*r - 1982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -x. Suppose t + 0 - 1 = x. Let i = -0.49 - 0.01. Put i, 2, t in ascending order.\nAnswer: i, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 + 792*l - 1596.\nAnswer: 3*(l - 2)*(l + 266)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -696 + 721. Suppose -p*k = -1892109 - 31616. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30786*t**6 + 3*t**2 - 4*t - 17 wrt t.\nAnswer: -3694320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/5)\/(x*x**(4\/3)\/x)*(x*x**(2\/23))**(9\/14) assuming x is positive.\nAnswer: x**(-4031\/4830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/5)\/((((n\/(n\/n**(3\/7)))\/n)\/n)\/n))\/((n\/((n\/((n**0\/n)\/n))\/n))\/(n*n\/(n**(-4\/3)*n))))**(1\/9) assuming n is positive.\nAnswer: n**(641\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/27 and -402675\/16 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1174121280?\nAnswer: 2, 3, 5, 31, 13151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*a**2*j - 25*a**2 - 2*j**4 - j wrt j?\nAnswer: -3*a**2 - 8*j**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106935, 106636, 106343, 106056, 105775, 105500?\nAnswer: 105231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**3 - k**2 + k - 1. Let f be p(1). What are the prime factors of f\/10*(-11 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/(t\/(t*t**(-6\/13))))\/t*t)*t*t**(4\/3))\/((t*t*t**2*t)\/t)**(-12) assuming t is positive.\nAnswer: t**(1981\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10312, 10290, 10234, 10126, 9948, 9682, 9310?\n\"Answer: -3*l**3 + l**2 - 4*l + 10318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 139765751 take away -0.96?\nAnswer: 139765751.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -2 + 62 + 8. What is the highest common factor of 28 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 416 and 864.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.3 - -2.2. Let m = 918 + -2752\/3. Put m, w, 1\/4 in descending order.\nAnswer: m, 1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 42, 3, 6116, 5.\nAnswer: 1, 2, 3, 5, 42, 6116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-3)\/(2 + (-9)\/3). Let k = 2 - -1. Solve -2*w = m + k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/53362535 (b) 0.5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101120002 + -1012?\nAnswer: 1101111220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 5*n**2\/2 - 5*n + 1. Let d(s) = s - 1. What is the remainder when o(2) is divided by d(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3ce9 + 35?\nAnswer: 3d2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 p when four letters picked without replacement from {r: 1, p: 2, w: 7}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0434 or 0?\nAnswer: 0.0434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + n**2 + 3521*n**3 - 3613*n**3 + 0*n + 0*n**2 - n in the form w*n + v + q*n**2 + d*n**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 36) + 86 + -26 - 80\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u = -180*u + 1325 - 340. Solve -4*b - 5 = -u*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 17 = 3*z. Let u = -820 + 817. Let s(g) = g**2 - 8*g + 10. Let q be s(6). Put u, q, z in ascending order.\nAnswer: u, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11319 and 286?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -0.02156?\nAnswer: 0.008624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r - 8*r - 8 + 20*r**2 + 0*r. Let k(b) = -2 + 1317*b - 3*b**2 + 1319*b - 2637*b + 8*b**2. Give 9*k(i) - 2*z(i).\nAnswer: 5*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 18741 (base 9) to base 14\nAnswer: 4a45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 10*b + 25. Let d(r) = -r**2 - 9*r - 23. Let f(x) = 5*d(x) + 6*j(x). What is f(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-339)\/(-9)*(1 + 2). Suppose -x - 61 = -2*m, m + r = -2*x + 2*m. Let q = -38 - x. Calculate the remainder when q is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 - 59. Factor 4*k**2 + 4*k**2 - 9*k**2 - 3*k**v + 16*k - 12.\nAnswer: -4*(k - 3)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4016 + -0.4022896. Round m to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 8*d**2 - 8*d - 2. Suppose -2*x = -2*w - 10, 9*x - 27 = 4*x + 4*w. Let q(m) = 2*m - 7. Let p be q(x). Give j(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 149*v - 50. Let u be q(1). Let b = -69 + u. What is the greatest common factor of 20 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 2*f**2 - 2. What is t(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1330 (base 8) to base 5.\nAnswer: -10403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 5 (c) -2\/297 (d) 2\/5 (e) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55481 is divided by 402.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -153.5 + 169. Let m = i - 63.2. What is m rounded to the nearest integer?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.5, -25, 0, 8 in descending order.\nAnswer: 8, 1.5, 0, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 380\/(-57)*(-6)\/8. Suppose -7*a + 9 = -w. Solve -3*u + 0*u - 2*x = 13, -4*u + 5*x = a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34539046?\nAnswer: 2, 1579, 10937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -18. Which is smaller: 5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 50*g. Let t(q) = -980*q**2. What is d(t(o))?\nAnswer: 960400*o**4 - 49000*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/5 and (-8)\/2 + (-52)\/16.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43322565?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 6. Let q(a) = 5*a - 3358. Calculate 7*n(c) - q(c).\nAnswer: 2*c + 3400","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42362.00212 - 42361. Let y = 8 - 7. Let a = k - y. Round a to 4 decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 341 - 340.5. Suppose t = -0*t + 3. What is the closest to 2 in c, -0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001272041 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 45387?\nAnswer: 45387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.99 + 4. Let q = x - 0.01. Which is the second biggest value? (a) -0.3 (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 3\/8, -4\/7, 23, 2\/59, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1, 1\/4, 1532, -3, 22?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u = -5*u - 84 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 9040 = -4*m, -77*y + m = -73*y - 7253. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 - 105*n**3 + 6 + 0 - n**2.\nAnswer: -105*n**3 - n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -273*c**2*k**4 - 4*c**2*k**3 - 5*c**2*k - 19*c**2 - 5*k wrt k?\nAnswer: -3276*c**2*k**2 - 24*c**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -10335*s + 5. Let f(d) = -8273*d + 4. What is -11*f(i) + 9*j(i)?\nAnswer: -2012*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12434, 24864, 37280, 49670, 62022?\nAnswer: 74324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6720 by 4.\nAnswer: -1680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 1, 6, -5 in increasing order.\nAnswer: -5, 1, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 20 = -2*w. Let j = -2889 - -2892. Solve j*q = -5*i + 26, -w = -4*i - 4*q + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 271667 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5457361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1944 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**3 + 3*t**3 + t**3 + (-3 + 4 - 3)*(-5*t**3 + 3*t**3 + 4*t**3) + (0*t**2 - 2*t**2 + 4*t**2)*(3*t - 4*t - t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 g when three letters picked without replacement from dggdaddaaabgddaddg.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 250 - 249. What is the closest to 0.2 in k, 1\/4, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33000027799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.06 (b) 314 (c) 0.94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71 - -31. Let b = w - -63. Calculate the remainder when b is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436 is divided by 85?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 not equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13693 + -12860. Solve -k = 8*c - 857 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 12:16 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, q: 2, g: 4}. Give prob of sequence gqgg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398*t - 278*t - 119*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**2\/7 + 72210*n\/7 - 434523675\/7 = 0. What is n?\nAnswer: 12035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 12) + (33 - (-24 - -32)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.5, 2\/3, -1.86, 3, -36?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 327058157 divided by 1.\nAnswer: 327058157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l + 23*z - 18*z - 21, -63 = -l + 28*z - z for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20 + 20 + 2*b**2 + (6*b**2 + 15*b**2 + 6*b**2)*(-4 + 1 + 0).\nAnswer: -79*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 6230 + 1604 - 2340. What is the greatest common divisor of 86 and j?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2349*a**2 + 4695*a**2 - 2*a**4 - a**5 + a - 2344*a**2.\nAnswer: -a*(a - 1)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 252 in -3.7, 3, 0.1, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14332 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 10:15 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6310 (base 11) to base 8.\nAnswer: 20250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13e - 2895?\nAnswer: -29d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-3) + 10\/5. Suppose -4*h + 0*d = -d - 79, -2*d + 32 = s*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -101*u**3\/3 - 3*u**2\/2 + 11*u. Let p be d(-2). Suppose -p = -5*k - 81. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttt. Give prob of sequence tt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**2 - 10901427*j = 0. What is j?\nAnswer: 0, 3633809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000 (base 2) in base 6?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-376)\/38 + (-302)\/(-32) + 17892\/31808.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 8:58 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28.7 + 28. Let y = s - 3.3. Let o = 1 + 2. Sort y, o, -1\/4.\nAnswer: y, -1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4516 divided by 28?\nAnswer: 1129\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*12\/(-96))\/(1\/(-10)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24030*d + 4 - 4.\nAnswer: 24030*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1189?\nAnswer: 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81 - (-185874)\/(-2288) - 2\/16.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -39*q**8\/4 + q**4\/12 + 203*q**2\/2 - 814*q. Find the third derivative of m(n) wrt n.\nAnswer: -65520*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n**2. Let a(k) be the second derivative of -k**4\/12 - 4*k. What is w(a(v))?\nAnswer: -5*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 133407 by 2187.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(3*r + 1 - 1 + 0*r + r + 0*r + (r + 0*r + 0*r)*(-4 - 1 + 3) - 31*r - 9*r - 29*r).\nAnswer: 134*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 415218200?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in sixty-one halves of a gram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -8. Suppose -b*n + n = -96. What is the common denominator of n and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110 - -199. Let s = v - 92.75. What is s rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-110) - (11 + 424\/(-40)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/399 - -44\/133. What is the closest to v in 20\/3, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010430821 to six dps.\nAnswer: -0.001043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -12, 4\/9, 0.1, -3\/116, 1, 68?\nAnswer: -3\/116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35564\/43 - 827. Let h = 15 + -14. Which is smaller: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -33*k**2 - 18*k - 13. What is r(-5)?\nAnswer: -748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 36*l + 7. Let a be f(-3). Let b = 12 + -101. Let m = b - a. What is the smallest common multiple of 6 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3591 and 27594.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 4983?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4095*k + 4094*k + 17 = 0, -s + 23 = 4*k. Suppose -4*c = -9*c + 1345. What is the remainder when c is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -8. Let l be 0\/(-2) + (3 - g). Suppose 3*n - 5 - 1 = 0, 4*b = -l*n + 48. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 - 31 + 2*m**4 + m**3 + 31 - 2*m to c*m + s*m**4 + a*m**2 + t + v*m**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -0*k + 10. Suppose -20 = -3*a + j - 5*j, 3*a - 10 = -k*j. Let n = a - -10. What is the remainder when 28 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702139141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 17 = 2. Suppose -o = 4*l - 13. Suppose w - l*w = 0. Solve w = -3*v - 9 - 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2\/3 + 74696*k - 8307684.\nAnswer: 4*(k - 111)*(k + 56133)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/3 - d**3 + 8*d**2\/3 - d.\nAnswer: -d*(d - 1)*(d + 3)*(2*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10068 (base 9) to base 11\nAnswer: 4a81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**6*v + 1456*i**6 - 143*i**2 + 5*i*v wrt i.\nAnswer: -120*i**3*v + 174720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/3 - -2\/15. Let v be 23\/((-4968)\/4716) - -22. Which is the nearest to v? (a) o (b) 30 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69549 - -69539.00075. Let x = -10 - o. Round x to five dps.\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (62\/(-745550)*-111)\/((-2)\/(-26))\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 0. Let x be f\/20 - 1\/(-5). Solve -n + l = x, l + 1 + 0 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/220704 and -97\/13794.\nAnswer: 220704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yppp when four letters picked without replacement from wpimyymppwwppppwm.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13015797 rounded to the nearest ten thousand?\nAnswer: -13020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 711077.6 kilometers in centimeters?\nAnswer: 71107760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 544597256.5 rounded to the nearest ten thousand?\nAnswer: 544600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/1516 (b) 1\/2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3845484 by -3.\nAnswer: 1281828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-3090\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 487 = -3*b + 208, -4*r - 228 = -b. Solve -18*z + b = 106 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnhhnnnnhnnn. Give prob of picking 2 h and 1 n.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 5865*r**2 + 272880*r - 3240000.\nAnswer: 5*(r - 1125)*(r - 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 577 - 230. Suppose -5*g - x = -62. Let o be 1 - 51\/g*-1. Which is the biggest value? (a) 1 (b) 2\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21 - -1) + (13 - (-23 - -27 - (3 - 0)))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, i: 2, c: 4, u: 1, d: 1}. Give prob of picking 1 c and 1 i.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from qqnqqqqqqqqq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gyywwgyjwggygggyyw. What is prob of sequence ywjw?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 16 - 18 = 0. Let u(a) = a**2 - 5*a + 3. Let r be u(3). Let t be (3*r\/9)\/(c\/(-50)). Solve 2*j - t = -3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -3*j + 274, -7*j - 13*j + 30*j = -42*x + 14*j - 318 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3416191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**4\/6 - f**3\/6 + 7*f**2\/6 + f\/6 - 1 = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*b**6 + 13*b**4 + 152*b**2 - 3?\nAnswer: 3360*b**3 + 312*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, e: 7}. What is prob of sequence eee?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*k, 5*k = i - 975 - 474. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1420220140 (base 5) in base 2?\nAnswer: -1110000010010010111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a*j**3 - 65*a*j**2*p**3 - a*j*p**3 - 6*j**3*p**3 - 3*p**3 - 3 wrt a.\nAnswer: -j**3 - 65*j**2*p**3 - j*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67003873 is divided by 429512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -4 - -11) + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*o**3 + 64393*o + 2676083 with respect to o.\nAnswer: -24*o**2 + 64393","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -13*a - 14*a + 28*a - 11 - 5. Let p be u(16). Suppose -3*b + 27 = -2*o + 10, -2*b + 14 = -2*o. Solve -4*y - b*n - 26 = p, 3*n + 3 - 17 = 4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Suppose -n*l + 7 = -17. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from hhnhnnh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 122440 and -0.2.\nAnswer: 122439.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2388144 and 308?\nAnswer: 16717008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, n: 1, g: 3, e: 4, w: 2}. Give prob of sequence erge.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -593038, -593039, -593040, -593041, -593042?\nAnswer: -593043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1 - c + 0 - c + 0. Determine r(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0 - 2 + 0 + 0 + (-2 - 3 + 4)*(0 - 1 + 2))*(3*o**4 - 5*o**4 + 0*o**4).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 61381971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t = -24*t + 35515. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - ((-3)\/3)\/(4\/12). Let s(d) = d**2 - 10*d + 9. Let w(y) = y**2 - 9*y + 8. Let z(i) = 3*s(i) - 4*w(i). What is the units digit of z(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**4\/4 + 8*t**3\/3 + 3*t**2 - 24*t + 18. Let j be q(7). Is 66 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001 + -11110111?\nAnswer: -100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 5*n + 6. Let p be c(-6). Suppose -w = w - 5*k - 131, -5*k - 25 = p. Is w a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + (176\/20 - -2))\/((-6)\/50)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**5\/20 + 7*i**4\/12 - 4*i**3\/3 + 3*i**2\/2 + i. Let o be z(-8). Solve o*u = 2*u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043043 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**8\/112 + 4*k**7\/35 - 5*k**6\/8 + 19*k**5\/10 - 7*k**4\/2 + 4*k**3 + k**2 - 2. Factor p(x).\nAnswer: -3*(x - 2)**3*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((-2 + -3 + 0 + sqrt(68))*2 + 2 + 5)**2)*-1.\nAnswer: -276 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 100100?\nAnswer: -100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - t = 20. Suppose 0 = -y - t*b + 1, 0*y - 5*b + 3 = 3*y. Suppose a + 0 = 4. Solve -a = i - y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 156 - 153. Solve -l = -w*l - 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njngjjjgjjgnngj. What is prob of sequence jnng?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/590 and ((-357)\/(-408))\/(1\/(-52))?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 - (-2 + -27 + (-29 - -19))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/6 + 1522*j**2 + 9134*j\/3.\nAnswer: -j*(j - 9134)*(j + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 1125764 - 4025764. What is b rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 4*h**2 + 6*h - 7. Give f(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8*v + 64. Calculate s(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 209580840 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12, -47, -104, -183, -284?\n\"Answer: -11*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2257, -2957, -4859, -8563, -14669, -23777?\n\"Answer: -100*z**3 - z**2 + 3*z - 2159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -126 - -130. Suppose 0*a = 6*a + m*a. Solve -b + a*b + 2 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74)\/5*45*(-9)\/162.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(-5 + 3 + 4*(sqrt(567) + sqrt(567)*1) + 5)**2*-2.\nAnswer: -435560 - 5184*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, c: 5}. Give prob of sequence pcpc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 7*d**3 + 60*d**2 - 3845. Let h(r) = -2*r**3 - 31*r**2 + 1921. Let w(b) = -9*h(b) - 4*u(b). What is the first derivative of w(i) wrt i?\nAnswer: -30*i**2 + 78*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -21*l + 1. Let q be o(-9). Let p = 0 - -4. Suppose -c - p*c = -q. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11075*c + 1600*c - 2624*c + 11393*c - 419*c.\nAnswer: 21025*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16313 + k**2 - 61999*k + 62003*k - 16313.\nAnswer: k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 + (-20)\/12)*3. Suppose b*t = 10845 + 1603. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 n, and 1 r when four letters picked without replacement from {j: 3, n: 4, r: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**3 - 4700207*d**2 + 4700207*d**2.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1703987 rounded to four decimal places?\nAnswer: -0.1704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 15*j = -634. Suppose -u = -41 + 194. Let g = u + j. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45152741 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53.8 + -306.8. Is -0.1 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 10 = 2*x. Suppose t - 4*o = -x*o + 25, 3*t + o = 75. Suppose -4*p - 6 = z - 28, 0 = -4*z + 5*p + t. Solve 2*a - z = 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ee3 (base 15) to base 4.\nAnswer: -310203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272)*-3 + 4 + -3*(3 + sqrt(272)) + 2)*1*-2)**2.\nAnswer: 576*sqrt(17) + 39204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 124 = 346. Calculate the remainder when 101 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 109*g + 2. Let d(p) = 5*p**3 - 434*p - 9. Determine 2*d(x) + 9*j(x).\nAnswer: x**3 + 113*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11 - 2922*(-1)\/(-3). Do -965 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 14*k**2. Let s(y) = -49605521*y. Determine b(s(r)).\nAnswer: 34449907991540174*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 13.64304 months?\nAnswer: 0.0113692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30055252.\nAnswer: 2, 17, 29, 15241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -97*k + 92*k. Suppose -k*q + 33 = q. Solve -3*a - 17 + q = 5*n, 0 = -a + 3*n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-897)\/26)\/23*-2*8\/228.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w = 12. What are the prime factors of (-158)\/(-14) + w\/(-21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224, -222, -220, -218, -216, -214?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8*x**2 - 9*x - 8. Let k(i) = -32 + 25 - 2*i + 0*i - 6*i - 3*i**2 - 4*i**2. Determine -7*k(z) + 6*p(z).\nAnswer: z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-2))\/(2\/(-8)). Suppose 0 = -2*f - f. Let s = d - f. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-12)*o*o)\/o*o*o)\/((o\/(o**6*o))\/o)*((o*o**(-5)*o)\/o)\/(o\/o**12*o))**0 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + sqrt(78) + (sqrt(78) - ((sqrt(78) - (sqrt(78) - sqrt(78)*1)) + sqrt(78))) + sqrt(78))*-1)\/(sqrt(150) + 1*sqrt(150)).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96*z**2 + 373 + 74*z**4 + 4*z**4 + 39 - 2*z + 58*z**4 + 2*z**5 + 98*z**2 wrt z.\nAnswer: 120*z**2 + 3264*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, q: 2, u: 1, a: 5}. What is prob of sequence uaya?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*(sqrt(432) + (sqrt(432) - (sqrt(432) + 0 + -5)**2 - sqrt(432))) + 2)*-4.\nAnswer: -1584*sqrt(3) + 5476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 8. Let z be c(8). Suppose 6*d + 3*d = -0*d. Factor -2\/5*w**5 + d*w**3 + z + 0*w**2 + 4\/5*w**4 + 0*w.\nAnswer: -2*w**4*(w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10928079 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2261*t**2 + 78*t - 419973?\nAnswer: 4522*t + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0488 rounded to 2 dps?\nAnswer: 3.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.42? (a) 0.3 (b) -14.39 (c) -0.07 (d) -2\/11 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, j: 1, c: 3, v: 4, i: 4, u: 1}. What is prob of sequence jc?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 0.5 (c) -0.3 (d) -0.5 (e) -72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 18246.\nAnswer: 18246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 + a**4 + 0*a**3)*(85*a - 37*a + 46*a) - a**2 + a**5 + a**2.\nAnswer: 95*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47104 rounded to two decimal places?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114 + 219. Let s = o - 101. Solve -2 = -s*n - 22 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 57 - 13. Let z = t + 14. Factor y**3 - 4*y**3 + z*y**5 + 0*y**3.\nAnswer: 3*y**3*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 13. Suppose -d*b + 222 = 3*g + 5, 3*g - 101 = -2*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-7) + (-31)\/(-7) + -3. Suppose -127 + 82 - 3*b**2 - b**h - b**2 - 50*b = 0. Calculate b.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11737246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 173 - 164. Suppose h*s - 20801 = -22*s. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-18)*(-9)\/12. Which is the nearest to 1.6? (a) 3 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w - 2 = 0. Let v = 9.55 - 9.5. Let p = v - 5.05. Which is the second smallest value? (a) w (b) -0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/480 and -139\/240?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 5*p - 2. Let b be w(4). Suppose d = 3*u - 7*u - 14, 2*d + 2*u + 4 = 0. What is the greatest common divisor of d and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bobu when four letters picked without replacement from {o: 1, b: 7, u: 11}?\nAnswer: 77\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2 + -1)\/(4\/492 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25245 divided by 17?\nAnswer: -1485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m*m**(2\/5))\/m)**(6\/7))**(-1\/2))**(-42))**(-29) assuming m is positive.\nAnswer: m**(-1044\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -12*j - 5 + 20*j**2 - 7*j**3 + 19*j**3 - 16*j**4 + 1 = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, l: 4, h: 2}. Give prob of picking 2 u and 2 h.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2, -9, -18, -29, -42, -57, -74?\n\"Answer: -x**2 - 4*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368695 is divided by 61434?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138602 and 5254?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17012594?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1955 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 80 = -25*q. Suppose 4*x - q*s = 20, 4*x - 23 = 2*s + s. Solve x*g + 10 = 3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 74*y - 26*y - 192 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156480 + 163050 = 146*r for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.3996 and 0.4.\nAnswer: -2.9996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-40)\/(-12) - 0)*-3. Let z be x\/(-36) + (-4)\/8. Which is the smallest value? (a) z (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*l**3 - 41 + 636*l - 186 - 1664*l + 1545 wrt l?\nAnswer: -6*l**2 - 1028","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 0*o - 5*o)*(-3*o**4 - 2*o**4 + 3*o**4) + 3*o**5 + o**5 - 6*o**5 - 3*o**5 + 4*o**5 + 2*o**5.\nAnswer: 7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 251085 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 11. Suppose -3*w = 3*o + w - 5, -z*w = 4*o - 4. Let f = 0.29 - -5.71. Are o and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.5 (b) -8 (c) 46 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2238594 is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 27*w**2 + 24*w + 23. Suppose 0 = -20*a + 17*a + 3*t + 372, 0 = -5*a - 4*t + 602. What is the remainder when a is divided by y(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/6 (b) -2\/149 (c) 1\/3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -347.5734117?\nAnswer: -347.8734117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54128499.\nAnswer: 3, 23, 784471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 137832500 to the nearest one million.\nAnswer: 138000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142 + 88 - (67 - 73).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -32, -222, -736, -1736, -3384, -5842, -9272, -13836?\n\"Answer: -27*b**3 - b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 23287 = -3*q, -34*q + 8 = -32*q. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(-3) - 164\/21 and (-68)\/7*1 + 15 + -13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a6d30 (base 14) in base 8?\nAnswer: 3455756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -0.7, 3\/5, 2, 2\/313.\nAnswer: -0.7, -0.6, 2\/313, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 3. Let f be k(0). Let m = 11 + -8. Suppose 0 = -2*s + 3*s - m. Sort -2, f, s.\nAnswer: f, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/15211770 and -71\/1680.\nAnswer: 121694160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102*a**2 - 2 + 12 - 10 to w + z*a + u*a**2 and give u.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-1))\/(26 + -25). Suppose 0 = t + 4*h + 2, -2*t + 9 = -p*t - 5*h. What is the remainder when 15 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16490, 16486, 16482, 16478?\nAnswer: 16474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 0. Let i(o) = 2 - 4*o**2 + 2*o**2 + 3*o**2 + 2*o**2. Let u be i(l). Calculate the greatest common factor of 154 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.1014339 + 10?\nAnswer: 185.1014339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6*k = 0, 2*s + k + 6 = 0. Suppose -2*z - 2 = -m, -5*m + 42 = -z - z. Calculate the smallest common multiple of m and 2\/(s + (-155)\/(-50)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-264)\/(-693)*(-3)\/(-2))\/((-2)\/2)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-23)\/u)\/u*(u\/(u**(-36)*u*u)*u)\/u)\/(u*u**19)**(-6\/5))**(-5\/4) assuming u is positive.\nAnswer: u**(-175\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (312 - 322) + (26 - -2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11694*h + 3931*h - 10*h**2 + 3929*h + 3847*h.\nAnswer: -10*h**2 + 13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 5*b**2 - 4*b - 5. Suppose 2*r - w = 8, -r - 3*w = -4*r + 18. Suppose -11 = -r*k - 3. Calculate n(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53127139 to the power of 1\/2, to the nearest integer?\nAnswer: 7289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**3 + 6*n**2 - 4*n. Let f(c) = -3*c**3 + 4*c**2 - 5*c. Determine 3*f(x) - 2*o(x).\nAnswer: -3*x**3 - 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*q + 19 = 166*q - 82*q - p, 4*p = -12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 87716945 divided by -17543389\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 260555149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**5\/10 + 7*h**4\/12 + 922*h**2. Let c(g) = -2*g**2 - 5*g. Determine -11*c(u) - 4*s(u).\nAnswer: -2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 566175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-2*j**3 - 3*j**3 + 6*j**3 + (6*j - j - 3*j)*(3*j - 3*j - 3*j**2)).\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 3. Let d(q) = 2*q + 7. Let m be d(-7). Let v(o) = o - 2. Let n(b) = m*v(b) - 6*c(b). Let i be n(-2). Are 0 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2466145238?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 20 - (-2 + -4 + 3 + -3)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 268489 - 268642. Suppose -2*t - 4 = -2*k + 10, 2*k - 4 = -3*t. Which is smaller: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1144 and -0.1.\nAnswer: -114.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1208 and 453.\nAnswer: 3624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -1, -2, -574, 3, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -2 (b) -36 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9936 + -9516. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d - 242 = -2*q, 125 = d - q. Let w = d - 119. Solve -5*l + 6 = -w*s - 4, -13 = s + 4*l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, v: 1, u: 2, l: 1, j: 2, a: 1}. What is prob of sequence ua?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 10, -11 in descending order.\nAnswer: 10, 0, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/(-6))\/((-80)\/(-14340))*-2. Let q = 2232 + r. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*k - 3*k + 0*k)*(-9463*k - k**2 - 12 - 13 + 9464*k) in the form i*k**3 + w + s*k**2 + z*k and give z.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h. Let k(o) = -38*o**2 - o**2 - o**2. Give k(a(c)).\nAnswer: -160*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 477374088 a multiple of 522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -23*z**3 + 3*z. Let f(j) = -j. Give 2*f(o) + h(o).\nAnswer: -23*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6785 * -0.637\nAnswer: 4322.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + 0 + sqrt(833) + sqrt(833) + 4 + 1)**2.\nAnswer: 784*sqrt(17) + 13524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*x**4 + 6*x**2 - 12300*x + 4644173 wrt x?\nAnswer: -8*x**3 + 12*x - 12300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39109895\/56 greater than or equal to 698392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1651720 and 1632680?\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/6)\/((-3)\/(-18)). Suppose 4*r + i - 159 = 0, -4*r - m*i + 6*i + 163 = 0. Calculate the remainder when 77 is divided by r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 838822, 838820, 838818?\nAnswer: 838816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 19*v - 3600 = 0. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8274 - 7784. Calculate the highest common divisor of j and 630.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alvlllulavlaccuuu. What is prob of sequence vll?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 g when four letters picked without replacement from baszbbbbgnbgsab.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1102)\/(-95) + -1*36\/4\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (1 + -1 + 1). Let f(k) = k - 3. Give f(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 9*h**2 + 4*h + 42. Let j(z) = 5*z**2 + 2*z + 21. Let a(d) = -6*g(d) + 11*j(d). Is a(7) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82 + 81. What is the hundreds digit of (697\/(-5) - q)*110\/(-44)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44 in -0.4, 5098, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92*u - 233*u**5 + 8*u**2 + 44*u**2 - 52*u**2 wrt u.\nAnswer: -4660*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a year?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 414*0.3\nAnswer: 124.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3693 = 4*l + 3797. Sort l, 0, 3, -0.06 in increasing order.\nAnswer: l, -0.06, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67923467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/21 (b) -3 (c) -10758\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 8*d - 1. Let b be -475 + -3 + (-1 - -6). Let l = 467 + b. What is y(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) -0.3 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**2 + 2*s + 17155. Let r(k) = -3*k**2. Determine t(r(m)).\nAnswer: 36*m**4 - 6*m**2 + 17155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 8) to base 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -272, -0.3, -2643?\nAnswer: -272","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -141 - -143.85. Let c = r - 3. Round c to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27475541 + 2?\nAnswer: -27475537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/20*(-30)\/(-9)*-6. Suppose -38607 = -o*y + 12228. Factor -y*d + 803*d - 1944*d**2 - 144*d**3 - 2300*d - 4*d**4 - 26244.\nAnswer: -4*(d + 9)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -20853.\nAnswer: 62559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -11. Suppose 0 = 5*j + l. Let r(s) = -34999*s**2 + 2*s + 1. Let u be r(j). What is u rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 859 is divided by 46?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 - 42.3. Let h = 8.446 + t. Let d = 0.1393 - h. Round d to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9468406*n**2*t**3 + 3352*n**2*t**2 + 2*n**2*t + 2583*n**2 - 34*n*t**5 - t wrt t.\nAnswer: -56810436*n**2 - 2040*n*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1949250293?\nAnswer: 1949250293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -0.144 (c) 0.1 (d) -42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-92)\/(-32) + -3 + (-57)\/(-72). What is the closest to f in 0.1, 3\/4, -1\/9, 2\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**2 + 2. Let p be (-15)\/6*(-5 - -3). Let m(v) = p + v - 3 - 2. Give k(m(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2017722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1570074 + 0.250838.\nAnswer: 1570074.250838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 + 51. Which is the nearest to v? (a) 5 (b) 2\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 10*t + 1. Let v be s(-5). Let u(n) = 13 + 7 - 12 + n. Let q be u(-7). Calculate the highest common factor of v and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/7)\/(24\/(-224)). Let z = x - 8. What is the greatest common factor of z and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1645 = 640*n - 311*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, s: 3, f: 4}. What is prob of picking 1 h and 2 f?\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/3 and (-4)\/14 - 300\/(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42693?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 * 47\nAnswer: 5.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**5 + 22*u**4 + 116*u**3 + 170*u**2 + 75*u = 0.\nAnswer: -15, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 2:14 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-52440)\/(-78) + 20\/(-65)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**7\/105 + 29*r**6\/10 - 7393*r**5\/30 - 1276*r**4 - 7744*r**3\/3 + r**2 + 259*r. Let v(z) = 0. What is z?\nAnswer: -1, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*x = -7, -2*c + 4 = -0*x - 4*x. Suppose 3*y - 886 = p, -6*p = y - c*p - 307. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**2 + o - 259. Let d(t) = 7*t**2 - t + 517. Let i(u) = -2*d(u) - 5*y(u). Let s be i(0). Let l = s + -146. What are the prime factors of l?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16\/(-6)*(-175 + -950)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kssc when four letters picked without replacement from {k: 4, s: 5, c: 3}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 2 + 2)*(3*r + 0*r - 2*r) + (8*r + r + 17*r)*(3 - 3 - r).\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 25*j - 155. Calculate w(-19).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(1221\/(-185)))\/((-5)\/(-21)) + -50\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/6876 and 43\/191.\nAnswer: 6876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -9. Let x = 64 + -19. Let q(l) = 4 - 51*l + 3 + 2 + x*l - l**2. Calculate q(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-9) + (-831787)\/(-66))*2. What is m rounded to the nearest 100?\nAnswer: 25200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6615\/(-216) + 31)\/(4*2\/576)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-81)\/(-15) + (-4)\/10. Suppose -n + 29 = 2*n - 4*g, -13 = 4*n + a*g. What is the greatest common factor of 24 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 at most as big as -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1978 - 2864. Let a = x + 874. What is the fourth smallest value in 0, -1, a, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 - -11100111000?\nAnswer: 11101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 27 - 7. Suppose -8 = -2*z, -7 - 13 = -2*q - 3*z. Solve b + 15 = -q*b, -o - c*b = 19 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 4:56 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0974 - -5.0974. What is the closest to -1\/4 in -58, i, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 3. Suppose t - z*t + 6 = 0. Suppose 3*p = t, a - 81 = -0*a - p. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 + 2*p - 2*p + (p**2 + 2*p - 2*p)*(-3 - p + 3) + (3*p - 4*p + 7*p)*(-93 + 11*p**2 + 93).\nAnswer: 67*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c - 36. Let d be x(16). Solve p - 4*p = d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128344602 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + y**2 + 4. Let p be (-86)\/10 - -8 - (-6)\/10. Calculate g(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.4, 2, 64.7, 4 in ascending order.\nAnswer: 0.1, 0.4, 2, 4, 64.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7*r = 490. What is the units digit of 36\/24*r\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45594837601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (0\/(-1) - 30). Let v = d - -17. List the prime factors of (v\/(-12))\/(3\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5409986258 to the power of 1\/2, to the nearest integer?\nAnswer: 73553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 336 and 852.\nAnswer: 23856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 5*j - 12. Let a be q(-7). Let t(b) = -3*b**2 + 0*b**3 + b**3 + 0*b**2. Let h be t(3). Solve h = -0*y + a*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -144*v*y**3*z + 13*v*y**2 - 7*v*y + 199*y**4*z + 4*y**2*z + 3*y*z - 1 wrt y.\nAnswer: -864*v*z + 4776*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*a**2)*(3 - 4 - 2)*(47 - 5 + 4*a - 25) to m*a**3 + u*a**2 + v*a + p and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201323010 (base 5) to base 12.\nAnswer: 32b634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 + 14*a - 7. Let m = -52 + 58. Does 42 divide d(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 969.9482 millilitres in litres?\nAnswer: 0.9699482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5\/8 + 31*i**4\/8 + 27*i**3\/8 - 95*i**2\/8 - 19*i - 15\/2.\nAnswer: (i - 2)*(i + 1)**3*(i + 30)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*b - 6 = -0*o, 0 = -3*o - b + 4. Suppose 1 + 3 = o*g. Find the second derivative of g*n + 14*n**4 + n - 15*n + 3*n wrt n.\nAnswer: 168*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -157*t + 3*t**3 + 515*t**2 + 37*t - 43*t - 9*t.\nAnswer: t*(t + 172)*(3*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*t - 44566 + 49126 = 0 for t.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4401 (base 15) in base 16?\nAnswer: -3841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*w - 15*w - 74802 = 0. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240292769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or -450\/11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 319794168 to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 a when two letters picked without replacement from {w: 3, a: 9}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 m when four letters picked without replacement from yyymsxxmxmy.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 9*c**2 - 20*c - 17. Give n(-11).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -38. Suppose -8*z + 10*z = q. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, w: 1, q: 1, n: 1, l: 2, x: 1}. Give prob of sequence xl.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -3\/5, -2\/3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-3))\/(q\/(q\/(q\/(q\/(q*q**(-2))))*q)))\/(q**(-7\/2)*q*q**(-1\/9)*q) assuming q is positive.\nAnswer: q**(137\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2 + 4*j + j + 3 - 6*j**2. Let m(y) = -y**2 + y + 1. Let x(h) = h**3 + 24*h**2 + 4*h + 91. Let n be x(-24). Let a = 3 - 2. What is a*d(z) + n*m(z)?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 - m - 1. Let t(q) = -5*q**2 - 20*q - 10. Let y(c) = 10*i(c) - t(c). Factor y(g).\nAnswer: 5*g*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4808170 is divided by 644.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 28.6579 times 1\nAnswer: 28.6579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -17 (b) 30 (c) -3\/5 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -14*t + 56. What are the prime factors of q(-11)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 113169 and 634.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 23\/8 of a millennium?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1 (b) 0 (c) 5 (d) 1\/11 (e) 357\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 69, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 26. Let b(f) be the third derivative of 0*f**3 + 1\/70*f**7 - 1\/8*f**4 - 3\/40*f**6 + 0 + 3\/20*f**q - 4*f**2 + 0*f. Solve b(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 - (-57 - -39 - 9)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2962 a factor of 1306307164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxxikiwiizwwiik. Give prob of picking 2 i.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**(-4)*j)\/(j*j*j**2*j))\/((j**(5\/2)*j)\/(j*j**(1\/4)*j)))\/(j**(-1\/5)\/j*j**(-6)*j*(j**(-2\/9)\/j*j*j)**(2\/83)) assuming j is positive.\nAnswer: j**(-15967\/14940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 13 = -2*v, 0 = -0*v - v - 5*j - 17 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 514240993 plus 2?\nAnswer: 514240995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*x + 76*x = -8. Suppose 8 + x = -8*m. Let y be (m\/3)\/(2\/12). Is -20\/7 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3458 in 2\/3, 0.37, 0.1697?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2*(-1)\/(-20))\/(11210\/7375))\/(5\/2).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14*2)\/(193\/(1737\/6))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y + 568 = 32*y + 21*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from {n: 13, q: 6}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*f**4*q - 4*f**4 - 2*f**2*q**2 - 3*f*q - 667*q**2 wrt f?\nAnswer: 60*f**2*q - 48*f**2 - 4*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (274\/(-3))\/((-56)\/252)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20728 + 20726.1854. What is j rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t - 31934*t**3 + 4*t - 31864*t**3 + 127348*t**3 - 31876*t**3 - 31823*t**3.\nAnswer: -149*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 835.6169 millennia to centuries.\nAnswer: 8356.169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25286798*h**2 - 6*h - 5160309 wrt h.\nAnswer: 50573596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*u - 92*u - 2754 = 0. Which is greater: 114 or u?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1015*w**3 + 532*w**3 + w + w**2 - 1 + 480*w**3 in the form h*w**2 + d + f*w + m*w**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 2*b + 3*z - 71, 5*b + z = 171. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 18. Let r be -1*1 - (8 - 11) - u. Let q be (0 + (-14)\/r)\/(16\/24). Is q greater than or equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 209*f**4 - 1586*f**3 + 357141*f**2 wrt f?\nAnswer: 5016*f - 9516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*i = 18, -3*i = -20*c + 22*c + 21. Let l(k) = -10*k**3 + 1. Let b be l(-1). Let y = c + b. Solve y*s = -a + 5*a + 15, -5*s + 15 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41451 by 1011.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010010 + -11021221?\nAnswer: -20102001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k - 2*k + 6*k)*((-1 - 1 + 0)*(-2*k - 2*k - 5*k) + (-6*k + 3*k - 4*k)*(-1 - 1 - 1)*(2 + 1 - 5)) in the form w*k + q*k**2 + v and give q.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j**2 - 5*j - 45. Suppose -x = -2*c - 3, 3 = 2*x - 3*c + 1. What is the units digit of g(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 200*p**6 - 724*p**2?\nAnswer: 24000*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**6 + 163687*n**4 - 1280666*n**2 wrt n.\nAnswer: -240*n**3 + 3928488*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -33947.217?\nAnswer: -33947.217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*(w**1\/w*w)\/w*w*w*w**3)\/(w**4*w**(-2\/7)) assuming w is positive.\nAnswer: w**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 8*n - 14. Let s be a(-2). Is s at least 23\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-6))\/(8\/4). Let z = 5.8 - 1.8. What is the third smallest value in 0, b, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 196, 0.1.\nAnswer: -5, -1, 0.1, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**44*z*z**27)**(-1\/48) assuming z is positive.\nAnswer: z**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 62\/(-126) + (-6)\/27. Is -2\/9 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -12. Suppose q + 4 = -n - 5*y, 4 = 2*n + 2*y. Let r be (2\/(-1))\/(-2*1). Solve -4*w = 3*u + r - n, -25 = -5*u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1012 divide 5588264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*d + 14*d**2 - 12*d**2 - 44*d + 14*d + 3303*d**3.\nAnswer: 3303*d**3 + 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93 and 951.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -9.27328.\nAnswer: 4.27328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, a: 15}. Give prob of sequence ayyy.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m = 14*m + 158. Let v = 31 - 22. Calculate the remainder when m is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*b = -51*b - 60 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-9)*i**(-2)\/i)**(1\/2))**11)**(-34) assuming i is positive.\nAnswer: i**2244","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 31 = -11. Suppose -3*w - 4*l + 96 = w, 5*l = -5. Suppose p*y = w - 9. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 42. What are the prime factors of (g + 0 + 10)*(2 - 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7*(-1 - (-27)\/21). Let t(u) = -3*u**2 - 13*u + 4. Let j(k) = -k**2 - 4*k + 1. Let i(f) = m*t(f) - 7*j(f). Factor i(c).\nAnswer: (c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (10 - 10) + 2*138 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8274812*g*h*m**3 - 3423510*g*h*m**2 + 2*h*m wrt m?\nAnswer: -49648872*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*m**2 + 0*m**4 + 2*m**4 + 2 + 156*m**3 - 157*m**3 - 2*m as h + i*m**3 + p*m + c*m**2 + y*m**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 16*j. Let n(f) = f**2 - 12*f + 24. Let q(w) = -w**2 + 11*w - 22. Let u(o) = 11*n(o) + 12*q(o). What is u(i(t))?\nAnswer: -t**4 + 32*t**3 - 256*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*h**2 - 38*h + 38*h)*(2*h - 4*h + 3*h) + h + 3*h**3 - h + (h**2 - 2*h + 2*h)*(-h - 5*h + 5*h) - 78 - 7*h**3 + 78.\nAnswer: 23*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6275.046 micrograms to tonnes.\nAnswer: 0.000000006275046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -179 + 11. Let w = -165 - v. Put 0.4, w, 2 in descending order.\nAnswer: w, 2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.241 - 5.141. Let h = v + 4.8. Is h greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.116051 to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*c + 18. Let k(t) = 2*t**3 + 3*t**3 - c*t**2 - 3*t**3 - 5*t**3. Let h(p) = -p**3 - 3*p**2. What is 14*h(z) - 4*k(z)?\nAnswer: -2*z**3 - 6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = 846*t - 849*t. What is the remainder when 667 is divided by t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74 + 80. Suppose 3*s + 0*s = 4*q + 425, -3*q = o. List the prime factors of s.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*3*2\/(-6). Suppose 2*q - 33 = f*q. Let t(j) = -8*j. Let y(i) be the third derivative of -i**4\/8 - 2*i**2. Give q*y(h) + 4*t(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/15)\/((-6)\/15). Suppose -5*b + 4*b = 2*u - 33, -3*u + 108 = k*b. Suppose -4*o + b + 25 = 0. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56399895.\nAnswer: 3, 5, 157, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 10*w**5\/9 - 4024*w**4\/9 - 18682*w**3\/9 - 16304*w**2\/9 + 3256*w\/3 = 0.\nAnswer: -3, -2, 0, 2\/5, 407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.24363 kilometers in millimeters?\nAnswer: 74243630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2593 in -0.4, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36349 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: List the prime factors of 10247.\nAnswer: 10247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 1295*b + 1765. Is a(5) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -11*w**2 + 3*w - 8. Let u be s(3). Let d = u + 101. What is the biggest value in d, 0.5, 0.04?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**3\/3 + 7. Let l(d) = 19*d. Give j(l(n)).\nAnswer: -361*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 648956?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8424613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8431340, -33725356, -75882050, -134901422?\n\"Answer: -8431339*s**2 + s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-7\/5)\/(r*(r*r**(-4\/9))\/r)*(r**5)**(-1) assuming r is positive.\nAnswer: r**(-313\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -452 + 436. Is j != -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnuumpquupuunupnupq. Give prob of sequence mp.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 13*p**2 + p + 41. Let n be g(-13). Suppose -9 = -8*t + 5*t - h, -4*t + 4*h + n = 0. Solve -4*r + t*x + 24 = 0, -4*r - 4*x - 8 - 8 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 742, 1370, -4, -54, 4 in decreasing order.\nAnswer: 1370, 742, 4, 3, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 361*x**3\/5 - 7258*x**2\/5 + 761*x\/5 - 4.\nAnswer: (x - 20)*(19*x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 6*o**2 - 7*o + 5. Let n = -42 + 19. Let p be (-10)\/15 + n\/(-3). Let y be k(p). What is the greatest common divisor of 35 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 307477 and 342?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 6*f. Let l(v) = -4*v**2 + 11*v. Calculate 5*c(g) + 3*l(g).\nAnswer: -2*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8161 is divided by 2032.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 215 + -213. Let m = 0.44 - 0.04. What is the nearest to 5 in m, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7286 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 3*g - 330 = 2*r - 0*r - 266, 15*g - 250 = -4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426 - 1045*c**2 + 210 + 216.\nAnswer: -1045*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*m + 9*m**4 + 11*m**2 + 2*m**3 + 10*m**4 - 35*m - 18*m**4 + 2*m**3 - 1 to the form i*m + v*m**2 + f + n*m**4 + d*m**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -40310241 (base 6) in base 12?\nAnswer: -472381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) - (-1)\/3. Suppose -k + 0*k + 37 = 2*p, h = 2*p - 5*k - 31. Calculate the greatest common factor of p and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 divided by -7?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -12*t**2 - 170*t - 595. Let b be q(-7). Let z(w) = w**2 + 0 - 7*w + 0. Determine z(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4467, -5099, -5683, -6201, -6635?\n\"Answer: 3*y**3 + 6*y**2 - 671*y - 3805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x + 2. Suppose 6 = -3*c - 0*c. What is o(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/5 - 7*f**2\/5.\nAnswer: -f**2*(f + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 10*n**2 - 13*n - 21. Suppose 13*p - 33*p = 160. Is x(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 1, 26069, -3 in ascending order.\nAnswer: -36, -3, 1, 26069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhovh. Give prob of sequence vh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 4 - -14 - 4. Suppose -p + w + 7 = 0, 2*w + 11 = 2*p + 3*w. Calculate the lowest common multiple of p\/(-8)*(-6 - x) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11215 + -4635. Suppose -14*q = -7*q - c. Round q to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 16 - (-30 - (63 - 29)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 20*g**2 + 2*g + 66. Determine f(20).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - w + 120, 400 = -2*q - 3*w + 532. What is the remainder when q is divided by (3\/(-2))\/(2\/(-20))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517644979273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 12*d + 3. What is p(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhddijijdidijjiji. What is prob of picking 1 j and 1 i?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1481205, 2962434, 4443663, 5924892, 7406121, 8887350?\nAnswer: 10368579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 31022\/6 - 30\/(-45) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 34*s = -160. Is s smaller than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 59966253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -44 times -31\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/3)\/(-1))\/1*(-3)\/4\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*a + 71 = 2, -5*k + 393 = -3*a. What is the lowest common multiple of 45 and k?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m + 1. Let z(s) = 7*s + 2. Let v(g) = 5*l(g) - 3*z(g). Let o(w) = -9*w**3 - 90*w**2 + w + 17. Let p be o(-10). What is v(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 3*g + 9 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 5. Let z be i(0). Let o(h) = -h**2 - h - 7. Let g be (3\/5 - (-260)\/25) + -5. Let q(y) = -y**2 - y - 8. Determine g*o(d) + z*q(d).\nAnswer: -d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/4 + (-1)\/(-2). Suppose 4*y + 10 = -3*d - 2*d, -y + 1 = 3*d. Let v = k - y. Put -2, -3, v in ascending order.\nAnswer: -3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 8:30 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 327, 218, 37, -216, -541?\nAnswer: -938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 163.9999352 + -164. What is h rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2348 - 1622 = -397*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3975\/4 + -993. Let q = 2.5 + 0.5. Let v = 392 + -395. Which is the second biggest value? (a) k (b) q (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 2 + 0 - -2 - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4568 + 5469. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 224542304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/15)*d*d*d*d*(d\/d**37)\/d)\/(d**(7\/4)*d)**(-2\/59) assuming d is positive.\nAnswer: d**(-57773\/1770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 - 4*v**2 + v**2 + 4*v**2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.34808019381 + -7740\nAnswer: -7739.65191980619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*d**2 + 0*d**3 + 140*d**2 - 3*d**3 - 8*d**3 + 4*d**3.\nAnswer: -7*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 13 - 13 = -3*j, 5*j - 4*n = 86. Suppose -4*v = 5*a - 140, -14 = -a - v + 3*v. Calculate the remainder when a is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19859 times -0.3?\nAnswer: -5957.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387528?\nAnswer: 2, 3, 67, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*(-2 - -3) - 4. Suppose t = -2*j - 3*j, -4*j - 156 = -4*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 - -112. Calculate the remainder when w is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 17 = -r, 0 = u - 4*r + 3*r - 8. Let m be (2 - (-872997)\/(-3)) + (0 - u). What is m rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11770882 smaller than 11770884?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 0.06, 129021, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-4)\/24)\/((-8)\/(-80))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 5. Let y be v(-8). Let m be (13 - -1) + (y - -1). Solve 3 = -s + t + m, -4*s - 5*t = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(3\/15 + -4 - -4). What is the derivative of -67 + 5 + 8 + x*z**4 wrt z?\nAnswer: 220*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {k: 1, h: 5, j: 11, x: 2, z: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6823 - -6822. Is 3224 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 17*p**2 + 32*p - 32. Let i be g(15). Let r(d) = d**3 - 6*d**2 - d + 5. Let y be r(6). Is 3 + 2\/(y\/59*i) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -408 - -1351. Let i = y - 942.9451. Round i to 3 dps.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14854.\nAnswer: 2, 7, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 10*g + 7. Let p be b(9). Let y be (0 + 1)*(p - -2). Is -2\/33 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 10*f**2 - 7*f - 15. Let r be t(9). Suppose -y - 2 = 0, -r*q + 77 = -0*q - y. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 84.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s - 3. Let l(n) = -27*n + 40*n - 2 + 4 - 19*n. What is -4*j(k) - 5*l(k)?\nAnswer: 6*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1274.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -8, -2, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**5 + 996*m**4 - 2864*m**3 - 21744*m**2 + 23616*m = 0. What is m?\nAnswer: -4, 0, 1, 6, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 39. Which is the closest to -1? (a) h (b) -15 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-12)\/10*-15. Let s = 92\/5 + p. Let r = -3.11828 + 0.11828. Sort s, -5, 1\/4, r in ascending order.\nAnswer: -5, r, 1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 9:43 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**2 + 412*y + 6718. Calculate p(-60).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -3*i + 19 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 2*l + 17, -2*z - z = -4*l + 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -174897, -349890, -524883, -699876?\n\"Answer: -174993*s + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**3\/5 - 64*h**2\/5 + 276*h\/5 - 72 = 0.\nAnswer: 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1 = 5. Which is the second biggest value? (a) l (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72))**2 + sqrt(18) + -4 + 5.\nAnswer: 3*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 + 46*z**3 - 89*z**3 - 2*z**2 + 40*z**3 + (3*z + 0*z - 2*z)*(11*z**2 - 6*z**2 + 6*z**2) - z**3 + 3*z - 3*z.\nAnswer: 7*z**3 - 2*z**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002760073 to six dps.\nAnswer: -0.000276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h**(1\/2)\/h)))\/(h\/(h**(-1)\/h)))**9*h\/(h*h\/(h**(-1\/2)*h*h*h))*h*h**5*(h**(-1\/2))**13 assuming h is positive.\nAnswer: h**(-61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319 - 1447 = 58*t + 2700 for t.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*o + 12 - 4, 2*l + o - 8 = 0. Suppose -4*p + 10935 = p + l*m, -5*p + 10890 = -5*m. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**5\/15 - o**4\/12 - o**3\/6 + 2*o. Let t(w) be the second derivative of i(w). Is t(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2469308 to the power of 1\/2, to the nearest integer?\nAnswer: 1571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 8709*k**2 + 139363*k + 305. Give x(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*f**2 - 110*f**2 + 27*f**2 - 90*f**2 - 218*f**2 as d*f + v*f**2 + y and give v.\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -23*p + 223 - 395, 23 = -3*o - 4*p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -215\/8 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-147)\/70*(-14385)\/(-26852)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 16 - 5*v**3 + 21\/4*v**4 - 3*v**2 + 0*v. Factor f(r).\nAnswer: 3*r*(r - 1)*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**3 + 80*j**2 + 222*j - 29. Calculate k(-3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5\/1741, 207 in decreasing order.\nAnswer: 207, 3, -5\/1741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2072174 rounded to 3 dps?\nAnswer: -0.207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.247 + -3.753. Let w = 568\/5 - 114. Let j be 2 - ((-11)\/(-6) + 0). Which is the nearest to w? (a) -5 (b) s (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -217831.4, -1\/7, -3\/4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1039, -1050, -1061, -1072, -1083, -1094?\nAnswer: -1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1261 - 2620 + 1248)*(-3*g**4 + g**4 + 0*g**4).\nAnswer: 222*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 1, -3, 37 in ascending order.\nAnswer: -5, -3, 0, 1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3705836295.\nAnswer: 3, 5, 7, 599, 58921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 3)*(1 - 3 + 4) + 3 + 2 - 2)*(-3*t + 2*t + 3*t)*(0 + 0 - 2).\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 9*f**2 + 9*f - 8. Let o = -17 - -25. Let j be x(o). Let w = -0.061 - -0.161. Which is the second biggest value? (a) j (b) w (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55403793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x. Let n(c) = 3*c**2 - c - 8. Let i be n(3). Let w = i - 19. Let l(p) = p - p + p + 0. What is w*y(h) - l(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4b9 + 4?\nAnswer: -4b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1383\/1706 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 11 = -z, -5*w - 2*z + 20 = -50. What is the least common multiple of w and 28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*s - 48*s + 71*s)*(s**4 + 91*s - 91*s).\nAnswer: 69*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 231\/(-66)*(-4)\/(-7) - 0. Let w(v) = 4*v**2 + 4*v + 12. Let f(u) = u**2 + 1. Let x(q) = 5*f(q) - w(q). Let i be x(6). Sort i, -1, t in increasing order.\nAnswer: t, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1541, 1647, 1757, 1871, 1989, 2111, 2237?\n\"Answer: 2*u**2 + 100*u + 1439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/12*(-6)\/1. Suppose 5*r = j + 12, 2*j = -t*r + 3*r + 21. Calculate the remainder when 38 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 1458172*k + 2916328.\nAnswer: 4*(k + 2)*(k + 364541)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 - 21*c - 130. Let r be i(-13). Sort 1, 2, r.\nAnswer: 1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-288)*18*2\/(-4)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12560 is divided by 256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j*j**6))\/j)\/(j*j*(j*j**45*j*j)\/j) assuming j is positive.\nAnswer: j**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0542 and 5?\nAnswer: -0.271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/6)\/((-1)\/(-3)). Suppose 3*z = -c - 15, 4*z - 2*z = k*c - 10. Let u be (-78)\/18*4788\/24206. Which is smaller: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 8 = -5*z. Suppose 3*y + 11 = -5*g, -g = y - 5*y - 30. Let l be (7\/(-6))\/y*2. What is the third biggest value in z, l, -2\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 9214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 191, -1 in ascending order.\nAnswer: -1, 3, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -148.34 + 0.34. Let d = g + 148.00000236. Round d to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/9)\/(v**(-2)\/v)*(v**(-6)*v)\/(v\/(v\/(v\/(v\/(v**7\/v))))))\/((v**(2\/5))**(-12))**(2\/23) assuming v is positive.\nAnswer: v**(-7618\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2294*k + 218. Let z(q) = 5*q**2. Determine l(z(d)).\nAnswer: 11470*d**2 + 218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g - 127. Let s be h(-26). Let z = -27 - -31. Solve -z*w = -s*w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -127, -187, -247, -307?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (7 + -10 + -7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 284014205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -116890223 divided by 1\nAnswer: -116890223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 5 (b) 4 (c) -1\/7 (d) -4 (e) 49 (f) 4\/133 (g) -7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -15 + 17 + -13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xffxvvvpvvvvcppp. Give prob of sequence xpf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 141ba14 (base 12) to base 8\nAnswer: 17260360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6 = -5*o + 18, -3*o + 4 = -2*k. Let z = 575 - 407. Suppose 8*c - 64 = z. Solve -w = 5*h + c, 4*h + k*w = -h - 41 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -318*t + 945. What is y(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d + 44. Let h be o(-8). What is the lowest common multiple of (h\/8)\/(3*1\/6) and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 896.038 + -897. Round n to 2 dps.\nAnswer: -0.96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*a - 3*a + 17*a)*(2 + 0 - 4).\nAnswer: -100*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 30 = -5*m, 33*m + 12 = -4*u + 35*m for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 9. Let x = -29 - -26. What is the smallest common multiple of l and (0\/(-9) + (x - -1))*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*f)*(-2030*f**4 + 159*f + 11*f**2 - 159*f - 11*f**2).\nAnswer: 6090*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 31564.\nAnswer: 31564.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d. Let u(k) = 0*k + 1 - 7*k - k. Let t(h) = -c(h) - u(h). Let w(v) = -14*v + 2. Calculate 8*t(o) + 5*w(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18487\/4, -5, -0.4 in decreasing order.\nAnswer: -0.4, -5, -18487\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from glgsggpsgpsp.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-12)\/(-8))*9\/24.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 74*(-1)\/(-10) - 24\/60\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Let i be 2 + (-2)\/g + 5. Let f = 13 - 7. Is i greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 15*x - 6. Let j be o(-3). Let h be ((-4)\/18)\/((-17)\/j). Let k = 41 + -40. What is the biggest value in 1\/10, k, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13897 - -13912. Sort 2, 2\/5, l, 1\/3 in ascending order.\nAnswer: 1\/3, 2\/5, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22107324 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*s**2 - 33 - 88*s**2 - 20 in the form t + n*s**2 + z*s and give t.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4934087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9563\/4 + -2369. Let g = -571 + 573. Suppose o - 2 = 5*r, -8 = -4*r + g*r. Which is greater: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 418249566*m**3 - 508624314.\nAnswer: 1254748698*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 2*u + u)*(-1 - 2 + 4) + 3 - 3 - 2*u + (-3*u - 1 + 1)*(-2 + 2 - 4).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/264 and -75\/2156.\nAnswer: 12936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 4*s**6\/3 - 23*s**2\/2 + 5. Find the second derivative of v(k) wrt k.\nAnswer: 160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - -6*sqrt(1620))\/(sqrt(1000)*4).\nAnswer: 11*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31007 is divided by 7750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**4\/12 + 5*r**3\/6 + 5*r**2\/2 - 5*r - 2. What is f(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 56*v**2 - 205*v - 161. Give c(52).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.01334986812 less than -1?\nAnswer: 7.01334986812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 512830.\nAnswer: -3\/512830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 7*t**2 - 6*t + 2. Let y be a(-6). Let h be y\/(-12) + (-2)\/60. Is h less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 + 2*a**4 + 3*a**3 - 2*a**3 + (-2*a**3 - 3*a**3 + 4*a**3)*(2*a - a + 0*a) + 565*a**3 - 18*a**4 - 565*a**3 + 2*a**4 - 2*a**4 + 2*a**4.\nAnswer: -16*a**4 + a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4802\/663 - 124\/17. What is the closest to 0 in -1, -0.5, z, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -108*z - 4. Let u be t(-1). Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 + 25*y**2 - 30*y.\nAnswer: -5*y*(y - 3)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 365247669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 109*t**8\/112 - 103*t**4\/8 - 178*t**2 + 2*t. Find the second derivative of x(i) wrt i.\nAnswer: 6540*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -191, -1, -37?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 380 by 3.\nAnswer: 380\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 7*a**5\/30 + 2*a**4 + 18*a**2. Find the second derivative of p(k) wrt k.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1452015 to the power of 1\/2, to the nearest integer?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 786113.7 months in centuries?\nAnswer: 655.09475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11, -367, -953, -1883, -3271, -5231, -7877, -11323?\n\"Answer: -19*i**3 - i**2 - 220*i + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g - 30. Let y be f(-8). Let z(c) = 5*c - 3*c**2 - 12*c**2 + 2*c**3 - 9 + 16*c**y + 4. Is z(2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 t, and 1 b when three letters picked without replacement from bktkkukukkukuktv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-17 - (-34 + 13))) + -17?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377080 is divided by 818.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 464701?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 7*t - 40. Let w = 25 - 68. Let b = 55 + w. What is the remainder when b is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10102300002 + 1?\nAnswer: -10102300001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.72 + 3.92. Put -0.13, u, -4, -3\/8 in decreasing order.\nAnswer: u, -0.13, -3\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -88*p - 512. What is h(-5)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 4 + 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -2. Let g be 39\/(-12) + (-3)\/(-12). Let a(r) = -r**3 - 2*r**2 + r - 2. Let n be a(g). Sort n, 2, f in decreasing order.\nAnswer: n, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.2, 28\/9, -2\/3.\nAnswer: -2\/3, 0.2, 28\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, 4, 1\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 12165?\nAnswer: 133815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 824 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1107212*f**4*m**3 - 5*f**4*m - 11*f**2*m**2 + 464*f**2 + 18*f*m**3 + f*m**2 + f + 3 wrt f?\nAnswer: 26573088*f*m**3 - 120*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14805.5 - 14806. What is the closest to -46 in 1, 0, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-5) + 3\/5. Let a be 6\/756*1538 - 8\/(-36). Let j = a + -341\/28. Is j less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 29 - 115 = 0. Let l = -18 + o. Let n be l\/(-4 + -3 + 4). Calculate the greatest common divisor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(147) + sqrt(147) + 0 - sqrt(147)) - sqrt(147))**2 + sqrt(147) + 3 + ((sqrt(12) - sqrt(3) - sqrt(3))**2 - sqrt(3)) + 4.\nAnswer: 6*sqrt(3) + 5299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1325775136, -1325775135, -1325775134, -1325775133?\n\"Answer: d - 1325775137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**2 - 20035336*u = 0.\nAnswer: 0, 10017668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/20*0)\/1. Solve v = -189*p + 193*p - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t - 9*t - 4*t + 4*t - 18*t - 14 in the form z*t + x and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*q**3 - 477100*q - 485658087 with respect to q.\nAnswer: -102*q**2 - 477100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of u**3 - 152*u*y - 61*y wrt u?\nAnswer: 3*u**2 - 152*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.2 (b) -0.12 (c) -2 (d) -4219\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 134 (c) -5 (d) -555\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 277994745 and -5.\nAnswer: 277994740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/3668 and 81\/12337580.\nAnswer: 86363060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5828963l to millilitres.\nAnswer: 582.8963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u - 3 + 5*u + 9)*(-2*u - 5*u - 4*u - 3*u + 2*u - u + (u - 2*u - u)*(1 + 2 - 2)) to a*u + y + j*u**2 and give a.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**2\/2 + 37*d + 75\/2 = 0.\nAnswer: -1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + 4. Let y(v) = v. Let w be y(14). What is the remainder when w\/(-4 + (-75)\/(-18)) is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 3*y + 1. Determine w(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -5*b**5 + 19*b**3\/3 + 8. Find the third derivative of q(o) wrt o.\nAnswer: -600*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*c = 14, 5*h + 30*c - 86 = 34*c. Solve 18*k = 24*k + h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07 + 0.16. Let b = -0.27 - z. What is the smallest value in b, 4\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4615?\nAnswer: 5, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - (92 + -34 + 7).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 11*g - g**2 + 5 - 11. Let b be a(7). Let y = -24 - b. Solve -5*o - 25 = -4*q + 20, y*o = -3*q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = o - 2*m, -5*o - 4*m + 2 = 0. Suppose 0 = 24*u - 29*u. Suppose g - 4 = -u*g - o*v, -4 = 4*v. Calculate the highest common divisor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 3*s**2 - 4*s + 4. Let v be m(-4). Suppose -v*z - 3 = -z. Let g(q) = -6*q - 1. Determine g(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139527570 divided by 664417?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -34*f**3 - 15*f**2 + 60*f - 17. What is the units digit of d(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -268\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3103441697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*i - 19*i + 239 + 501 = 0 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {g: 3, w: 2, c: 5, p: 1, u: 1, y: 1}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -730 + 1222. Suppose -a = -b + 6*b - 597, 0 = 4*b - 4*a - y. Is 33 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 160 + -101. Suppose -3*y + w = c, -c = y + 4 - 69. Let m be (-1103)\/(-17) + 8\/c + 1. What is the highest common divisor of m and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1 - -7) + -1 - 0) + -12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3538 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -2\/24389?\nAnswer: -2\/24389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1152581 + 36047389 = 52*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -3 (c) -0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000121615299 rounded to 7 dps?\nAnswer: 0.0001216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1434 + -1433. Which is the smallest value? (a) -1 (b) n (c) -0.5 (d) 152\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s**2 + 4*s - 8. Let i(o) = 7*o**2 + 5*o - 10. Let a(t) = 4*i(t) - 5*w(t). Let l(f) = -3*f - 22. What is a(l(b))?\nAnswer: -18*b**2 - 264*b - 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -9*b**3 - 6*b**2 + 14*b - 2. Let w(h) = -h**3 - h**2 - h + 1. Let g(v) = -r(v) + 4*w(v). Let i be g(7). Let l = 3590 - i. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*t - c - 15, -t - 2*c = -14. Let d(i) = -i**2 + 2*i + 5. Let a be d(t). Put a, -4, 0 in ascending order.\nAnswer: -4, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 8\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 11)*(18*h + 9*h - 8*h) - 2*h - h + 2*h.\nAnswer: 132*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p = 2*p - 4*l, -5*p - 16 = -3*l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b**2*c + 335351*b**2*m**2 + 20665455*c*m**3 - 50*m**3 - m**2 wrt c.\nAnswer: 4*b**2 + 20665455*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 180*m.\nAnswer: -3*m*(m + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**4 - 30*c**3 + 45*c**2 + 270*c - 648 = 0.\nAnswer: -3, 3, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 x when two letters picked without replacement from oxwwl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**2 + 2. Let g be (-13)\/(-3) - (2 + 20\/(-12)). Is j(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55410439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -76*j**4 - 3944*j**3 - 68060*j**2 - 388144*j + 41616 = 0. What is j?\nAnswer: -18, -17, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 394941528?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 36*b**2 + 11*b - 10. Let s be 4\/(-1) - 3 - (-3 - -2). Let d be p(s). What is the units digit of 14\/(-49) + d\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/2)\/(t\/(t\/t**(-3)*t*t)))\/t**(-3\/14)*t**(3\/22)*t**(-15) assuming t is positive.\nAnswer: t**(-1409\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1872) - 1*sqrt(1872)) + sqrt(1872) + -1.\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(24\/44) - 6. Solve 10 = a*h - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 0 + (0 + 4 - 5)*(3 - 5 + 4))*(-3 + 2 + 0)*(-234*k**2 + 1026 - 1026).\nAnswer: -936*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3632734*o + 7265081*o - 3632800*o.\nAnswer: -453*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = 2*k - 4*z - 2, -3*z = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -169025 by -32.\nAnswer: 169025\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 643*s - 11*s**4 + 7 - 2*s**3 - 1286*s + s**2 + 643*s to the form l*s**2 + y*s**4 + o*s + z*s**3 + t and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 2196.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 317, 316, 315, 314, 313, 312?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 4016?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-45)\/(-4) - 0) + (-9)\/(-12). Let l be ((-4)\/b)\/((-1)\/6). Solve -l*f - 4 = -6*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -167820690*v**2 - 303005216?\nAnswer: -335641380*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28454.02 years in months?\nAnswer: 341448.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 210*r + 215*r = 10, -4*p + r - 2 = 0. Let x = -42 + 127\/3. Which is the nearest to 0.2? (a) p (b) 2 (c) 2\/7 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 152 + -150. Solve -7*g = -8*g - h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 19. Suppose 0 = 2*o - 6*o. Let n = 197\/2 + -3739\/38. Which is the biggest value? (a) n (b) w (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 674 + -1?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 2:51 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + -5 - (6 - 8). Solve 5*t - g = 10, -5*t = -0*t - f*g - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1018 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 0 + 1 - -5. Suppose 0 = -k - 1 + l, 5*k + 74 = 3*q. Let u = -18 + q. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.758 - -629.958. What is z rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 53.\nAnswer: -5\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/sqrt(5))**2 + sqrt(44)*-2 - ((sqrt(11) + -2*sqrt(11)*-1)**2 + 2 + (sqrt(22)\/sqrt(2))**2)*1.\nAnswer: -68 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 334 - 284. Calculate the remainder when 299 is divided by m.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2504 rounded to 2 dps?\nAnswer: 1.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 74, 5, -4, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 4:21 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 4. Let n be p(-7). Let u be (n - (5 + 1)) + 53. Let s = 1454 - 1444. Calculate the greatest common divisor of s and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 16. Put x, -2\/5, -2 in increasing order.\nAnswer: -2, -2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32467118?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8612 - -8611.7. Let t = -9 - -9.09. Let s = t + -5.09. Put 0.2, s, 1\/2, l in descending order.\nAnswer: 1\/2, 0.2, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*s + 22, 0 = -4*s + 3*p + 15 + 3. Let k be -1 - -6*56\/12. Let r = -13 + 18. Solve -s*q + 9 = 3*z, -r*z - k + 7 = -2*q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a factor of 4380330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 382, 815, 1248, 1681, 2114, 2547?\n\"Answer: 433*v - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 452d (base 15) to base 5.\nAnswer: 432133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 237\/9 - 2\/6. Let n = 22499 - 22497. Calculate the greatest common factor of x and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -563847 rounded to the nearest 1000?\nAnswer: -564000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*j + 18*j + 16*j**2 + j**3 - 10*j in the form m + t*j**2 + w*j + o*j**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -47050 divided by -8347\nAnswer: 47050\/8347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/15)*u**(-10\/9)*u)**(-30\/11) assuming u is positive.\nAnswer: u**(16\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*q + 1140 = -91*q + 4267 for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from {w: 1, c: 1, x: 4, d: 7}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253, -270, -287?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p - 7. Let k be 0 - (-1)\/(2\/(-28)). Let l(x) be the first derivative of x**2\/2 + 2*x - 130656. Determine k*l(i) - 4*r(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 37b1c (base 13) to base 6\nAnswer: 2112334","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 19106 divided by -5?\nAnswer: -19106\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12554 and 45808?\nAnswer: 287536816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -763*v**4\/8 + 1555*v**3\/6 + 13*v**2 + 58*v. What is the derivative of u(g) wrt g?\nAnswer: -2289","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 + 14*f + 21)*(-f**2 - f**2 + 5*f**2) in the form p*f**3 + s*f**2 + c*f + n and give p.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -104 less than -18639\/181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/(s**(-1\/10)\/s))\/(s*s*s\/(s*s**(-3\/11)))*(s**(1\/3))**(-31) assuming s is positive.\nAnswer: s**(-2807\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 5*q - 19. Let r(m) = 2*m**2 + 9*m + 37. Determine 3*r(i) + 5*z(i).\nAnswer: i**2 + 2*i + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 186529302 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -332, -345, -368, -407, -468, -557?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*d - c, 4*c = 5*d - 7 - 23. Suppose -d*s = 4, -2*i = -s - 12 + 2. What is the smallest common multiple of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20397, 82374, 185667, 330276, 516201?\nAnswer: 743442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380458 is divided by 340.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*a**3*y + 2*a**3 - 3*a**2*y + 46*a*y + 2*a wrt a?\nAnswer: 36*a*y + 12*a - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*o**5 - 63*o**2 + 4 wrt o?\nAnswer: -1260*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4440)\/150)\/(-37)*20\/24\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 971260384 to the nearest integer?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -0.05. Let y = 13227 + -13231. Which is the third smallest value? (a) -0.2 (b) y (c) n (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/368 and 21\/650716.\nAnswer: 2602864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (572*w**4 + 259*w**4 - 346*w**4 + 3*w**3)*(2 - 2 + 1)*(-w - 2*w + w).\nAnswer: -970*w**5 - 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 6 + 22 = 0. Let p(i) = -i**3 - i + 3. Let u be p(0). Suppose -5*a = -u - c. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7396346 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42 - (38 + -13 - 137)) + -36.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -2. Let s = 1333 + -1955. Let n = -622.3 - s. Which is the nearest to -2? (a) -1\/2 (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11104 (base 6) in base 9?\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 23593*w**3 - 4*w**2 - 3*w + 4. Suppose 5*p + 8 = 23. Suppose -p*v - 5 = 7. Let l be o(v). Round l to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 394 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5000 - 736*u - 5000)*(3 - 3 - 2*u) to k*u**2 + q*u + c and give k.\nAnswer: 1472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12614*9.8.\nAnswer: 123617.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 141 (base 5) to base 13\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 99.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -9*l. Let m be 6 - 30\/(5 + 1). What is the remainder when n(-3) is divided by 6*m\/45 - 515\/(-75)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 w, 1 q, and 1 o when four letters picked without replacement from mqown?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 6 - 3) + -7 + (-4 + 12 - 12).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86 + 98. Suppose 0 = 10*v + q + 18. What is the closest to v in -2, 2\/3, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 6*z - 7. Let b = -3 + -4. Let o be f(b). Solve 0 = 4*p - 8, -5*g - 5*p - 5 = -o*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 14. Let g(q) = -q - 1. Let a be g(w). Suppose -c = 1 - a, 3*n - 2*c = -32998. Round n to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 1. Let g = -6 - -24. Suppose 4*a - a = -g. Let b(s) = -7*s - 4. Give a*w(q) + b(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 48\/21 + 2\/(-7). Let x(g) = -2*g**j - 5*g**2 + 2*g**2. Let q(v) = 15*v**2 + 13. Let n(f) = 7*f**2 + 6. Let a(i) = -13*n(i) + 6*q(i). What is a(x(o))?\nAnswer: -25*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (22 + -5)) + (6 - -1) - 7\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(9)\/sqrt(3) + sqrt(18)\/sqrt(54).\nAnswer: -4 + 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 25. Let b be a\/5 + (-261)\/(-45). Suppose 4*n = 9 + 7. Solve 3*o = 2*o + 2*z - n, 0 = -o - 3*z + b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) 2\/7 (c) 14 (d) 7\/163 (e) 2 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 5*a**2 + 5*a. Let i be y(-4). Is (-33)\/(-22) + -185*2\/i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2. Let l(i) = -685*i**2. Give t(l(z)).\nAnswer: -469225*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5433.897 kilograms in micrograms?\nAnswer: 5433897000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 10*k - 16. Let t be 1 + 1 + (-19)\/k. Let n(f) = -5*f + 40. Let z be n(8). Which is bigger: z or t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2762021 to the power of 1\/2, to the nearest integer?\nAnswer: 1662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**2 + 52*u - 120 = 0. What is u?\nAnswer: -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 22*k - 49. What is q(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 939*v - 958*v = -22212539. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 2.8, -2\/3, -50, -1?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 790 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -5*p + 32, z = -2*p + 11 - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 9*b - 3*b + 3*b.\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1139*q**2 + 83*q + 820*q**2 + 82*q - 1961*q**2 - 165*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o**3 - 15*o**2 + 7*o + 2. Let g(h) = 3*h**3 + 8*h**2 - 4*h - 1. Give 6*f(x) + 11*g(x).\nAnswer: 3*x**3 - 2*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7749792 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/2)\/(20\/24). Let s be 6\/(-21) + (-48)\/126. Let g be (182\/(-84) - 15\/(-10))\/(8\/18). Put g, d, s in descending order.\nAnswer: d, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 3*l = -9*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 3*l + 96. Let s be l\/14 - 10\/35. Suppose 5*c + 130 = 3*j, -5*j + 252 = -s*c + 29. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0. Let r(i) = 61*i - 733. Let y be r(17). Suppose -m - 3*m - 4*u + y = 0, -4*m - u + 295 = c. What are the prime factors of m?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, j: 12}. Give prob of sequence mjj.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16130 - -16129.99993537. Round p to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 449156, 449307, 449458, 449609, 449760?\nAnswer: 449911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8538778 is divided by 666.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 + 70. Suppose 0*b - 4*b - 74 = -5*v, 0 = -5*v - b + 94. Calculate the greatest common divisor of c and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2579857 take away 681079?\nAnswer: -3260936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 7:00 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2. Let b(v) be the third derivative of 89*v**4\/24 + 5*v**3\/3 + 7454*v**2. What is s(b(z))?\nAnswer: -7921*z**2 - 1780*z - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22949 - 77131590\/3361. Let j = 50383\/107552 - f. Is j less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -11. Is 6 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 59a + 16a1?\nAnswer: 1c4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14144 + 241*c**3 + 0*c + 14144 + 0*c.\nAnswer: 241*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 + 48. Suppose -k*h = 3*a - 227, -3*h + 3*a + 144 = -0*h. Suppose -5*v = -3*s - h + 790, s - v = 245. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 220*v**2 - 385*v**2 + 390*v**2 to the form m*v + u*v**2 + x and give u.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*f + 30. Suppose 0 = 2*j + j + f. Let n be 1 + j - 25\/(-20). Which is the second biggest value? (a) n (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8 - (-3 + -1 + 5394\/(-1305)). Which is the nearest to -0.01? (a) -23 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -164 + -3?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -542194 - -542196. Find o, given that -8\/9 - 11\/3*o - 4\/9*o**k = 0.\nAnswer: -8, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 10*i + 89. Let p(k) = 7*k + 89. Calculate -3*p(w) + 2*t(w).\nAnswer: 2*w**2 - w - 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90145\/4 - -22536. What is the nearest to m in -0.2, 0.08, -7\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13206 - -9314. Let r be -1 + 0 - (-14056)\/(-2). Let i = f - r. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24251103 is divided by 2528.\nAnswer: 2527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1356325 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(65)\/sqrt(5) + 5 + (3 + sqrt(13) + -3 - sqrt(13)) - 1*((sqrt(234)*-2 - sqrt(234))\/sqrt(9))\/sqrt(2))*1)**2.\nAnswer: -1398 - 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + 158?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 606098 to the power of 1\/2, to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15751\/3563 - 4\/509. What is the common denominator of 79\/8 and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3*s, -13*o - 5*s = -12*o + 8. List the prime factors of 2\/o*767 - -2.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31\/((-2170)\/28))\/(18\/(-5))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -102 (b) 1 (c) 125 (d) -4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1743194 - -0.9\nAnswer: 1743194.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10904*r**3 + 93824*r wrt r.\nAnswer: 65424*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.09 - 0.01. Let t = 13 + -10. What is the closest to t in 0.4, b, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 55059075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**9\/c**(-7))\/(c**10)**(-32))**(42\/11) assuming c is positive.\nAnswer: c**(14112\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -317 - -418. 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 s = -88 - -262\/3. Let i = -176.3 + 176. Which is the fourth smallest value? (a) 0.2 (b) s (c) i (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 23\/7 - 1 - (-138)\/(-483). What is the remainder when -1756*(-7)\/112 - h\/(-8) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(170) + sqrt(170))*-3 - (sqrt(170) - sqrt(170)*-2)*-4)\/(sqrt(640) + 1*(1*sqrt(640) - sqrt(640)) + sqrt(640)).\nAnswer: 15*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3662300 (base 7) to base 6.\nAnswer: -14015232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.651 - 0.5792. Round w to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 0)\/((-3)\/(-12)). Find the third derivative of 0*q**2 + 4*q**3 - q**2 - 4*q**3 + t*q**6 wrt q.\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190680000 rounded to the nearest 1000000?\nAnswer: -191000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8425913 is divided by 1929?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (352 - 352 - 21*u)*(-1 + 4 - 2)*(u**2 - u**2 - u**3).\nAnswer: 21*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 3*f - 2*k + 170, 5*f = 4*k + 298. Find the third derivative of 290*t**2 - f*t**2 + 0*t**3 - t**3 + 58*t**4 wrt t.\nAnswer: 1392*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/((-4)\/(-20)*5). Let a(f) = -f - 5. Let p be a(b). Suppose p*j = -3 - 7. Put j, -3, 2 in descending order.\nAnswer: 2, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4*a**3 - 58*a**2\/3 - 80*a\/3 - 34\/3 = 0?\nAnswer: -17\/6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.279 - -0.721. What is the third biggest value in -3\/7, 4, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -h - 2*l, -21*h = -16*h - l + 17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a decade in months?\nAnswer: 1056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g + 17. Give j(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 22.854\nAnswer: 6.8562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 4116?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -118*j**2 - 2*j + 47. Calculate the remainder when 113 is divided by n(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 727002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -107322 and -107771 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2950 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 572324482 to the power of 1\/2, to the nearest integer?\nAnswer: 23923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-68 - -65)\/(9\/(-6)). Let u(x) be the first derivative of -1 + 0*x - 3\/2*x**l. Let p(k) = 13*k**2. Give u(p(w)).\nAnswer: -39*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*t*t**6*t*t))\/(t**36\/t)*t**(-21)*(t*t*(t*t\/t**(-42)*t*t*t)\/t)\/t*t assuming t is positive.\nAnswer: t**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 26. Let r(z) = 53. Let h(o) = o + 54. Let a(y) = -2*h(y) + 3*r(y). Let w(f) = -2*a(f) + 5*s(f). Is w(18) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/6, -0.3, -4\/663?\nAnswer: -4\/663","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -10. Let x(l) = -6*l**3 + l**2 - l + 1. Is x(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002228295277 to six dps.\nAnswer: -0.002228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21824813.\nAnswer: 2531, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5646262, 11292669, 16939076, 22585483, 28231890?\nAnswer: 33878297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 37.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -10*c. Suppose -4 = i - 2. Is p(i) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 4 - 0. Let q be -2 + z - (-6)\/8. Suppose -23*u + 77*u = 216. What is the nearest to q in u, 3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4705747*k**5 - k**2 + 443776?\nAnswer: -282344820*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646265991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -860*f**2 - 870*f**2 - 8*f**3 + 1730*f**2.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*r - 3*s - 15, 5*r = 2*s. Let a = 193 - r. Let c = 1606 + a. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltl when three letters picked without replacement from {l: 5, f: 1, d: 7, t: 1, m: 1}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 - 3*s + 1. Let f be r(2). Suppose 0*k + 2*k - 3 = -f*h, -4*k + 21 = h. Suppose 50 = 5*i - 0. Solve w + i = k*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:41 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f - 11*f + 2*f.\nAnswer: -25*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834323 is divided by 2383.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 4*f**2 + 69*f + 192. What is r(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3576 + 27484 + 279 = 339*l - 1883 for l.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001011110000001111 (base 2) to base 16.\nAnswer: 8bc0f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jii when three letters picked without replacement from {i: 7, n: 1, j: 1, r: 3}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.68 + -0.2. Let c = 53 - 52.98. Let w = d + c. Round w to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*t**4 - 112*t**4 - 8*t**4 - 179*t**4)*((0 - 2 + 3)*(2*t - 4*t + 16*t) + 3*t - 3*t + 2*t).\nAnswer: -4576*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.05 (b) 8 (c) 3 (d) -3 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from {d: 1, b: 6, c: 1, k: 9}.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/7)*v*v**4*v)\/((v*(v\/((v\/(v*v**(-1\/3)*v))\/v))\/v)\/(v\/(v\/((v\/v**(1\/2))\/v))*v)))**(-4) assuming v is positive.\nAnswer: v**(-358\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w - w + 0*w)*(-2 + 1 + 0)*(-11*w**2 - 4*w**2 - 7*w**2) to the form g + n*w + z*w**2 + m*w**3 and give m.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/60*-6*(-33)\/(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((15\/(-84))\/((-70)\/4*2\/4))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 1060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 3)\/((-2)\/10). Let l be -5 + (362\/(-365))\/(1\/(-5)). Let o = l + -64\/219. Which is the closest to -1? (a) o (b) -0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/18870 and 67\/60070?\nAnswer: 113352090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003760711576 rounded to 5 decimal places?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 22, 67, 150, 283, 478, 747, 1102?\nAnswer: 1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12.06? (a) 18 (b) -0.2 (c) -1\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890843221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -51434?\nAnswer: -4\/25717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2203, -8827, -19869, -35329, -55207, -79503?\n\"Answer: -2209*c**2 + 3*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21.28 * -0.4.\nAnswer: -8.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 10 = 4*n. Let u be 5 - ((-8)\/(-5) + n\/(-5)). Suppose o + u*b - 128 = 54, -o - 2*b = -185. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 1506*k.\nAnswer: -2*k*(k - 753)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*l + 28*l + 126 = -29*l - 18 for l.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*c**2 - 2*c**3 - 15*c**2 + 38*c**2 - 3*c**3.\nAnswer: -5*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 553 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-14)*3234\/(-1386).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-33)\/140*-2)\/((-40932)\/(-2653)) and 71\/60.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -8*a**2. Let t(k) = -244*k**2. Calculate x(t(c)).\nAnswer: -476288*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/504*3)\/((-2)\/12)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -17 - -5.381\nAnswer: -11.619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 3*i - 1. Let r be s(-3). Suppose a + r = 2*a + 2*o, -5*a - 5*o = -100. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -619.795 + 0.795. Let h = 618.5 + v. What is the third biggest value in h, 2\/9, -0.09, 1?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(1 + (-5002)\/5004). Let x be 2\/(-5) + (-55572)\/(-5). Let s = x + t. Round s to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*h - 490 = 1449 - 222 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 273 and 23387?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.7438 and 1227301.\nAnswer: 1227302.7438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g. Let x(i) = -12*i**2. Determine w(x(u)).\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t = 18*t - 2*i - 14, -i = 4*t + 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 6*r - 40. Let i(v) = 31*v + 53. Let b be i(-3). Let x = r - b. What is the remainder when x is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*f + 6742 = 424. Let v = f - -1155. What are the prime factors of v?\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*j**3 - 224*j**2 + 14256*j.\nAnswer: 126*j - 448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 113 = 3*w - 0*w, 4*p + 3*w - 392 = 0. Let i(q) = -97*q + 2. Let l be i(-1). What is the first derivative of l + 18*x - p + 4*x wrt x?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 195 by -65.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 968 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/93*(-11)\/1*3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s = -24*s - 12. Let k(p) = -57*p - 10. What is the units digit of k(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -870*b - 22. Let s(c) = 1743*c + 40. Calculate -6*s(i) - 11*t(i).\nAnswer: -888*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ledo when four letters picked without replacement from {l: 2, z: 1, v: 1, d: 1, e: 1, o: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 n when three letters picked without replacement from nfnnnnfnnnn?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) -3\/71 (c) -1 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 5*m - 5, 3*h + 4*m - 25 = -m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 12:17 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -1210?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 168419\/241 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r**3 + r**2 + 3*r + 2. Determine p(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0568584l?\nAnswer: 56.8584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*v = s + 2079, -4*s = 2*v - 2750. Let g = s + 388. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.174 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6404 (b) -2.9 (c) 9 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -8. Let r(a) = 4*a - 18. Let w be r(c). What is the greatest common factor of 14 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) - -3*sqrt(209))*2 + (5*(sqrt(209) - (sqrt(209) - -3*sqrt(209)) - sqrt(209)) - sqrt(209)))\/(-1*sqrt(44)\/(sqrt(16)\/sqrt(4))*6))**2.\nAnswer: 3211\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: -10.02+3\nAnswer: -7.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 6:34 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-29)*j**(-3\/23)*j)\/(j*j**39*j**(2\/3)) assuming j is positive.\nAnswer: j**(-4747\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102754 - 73301. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -21*g**2. Let p(i) = 2*i - 1. Let b(z) = -3*z**2 + 6*z - 3. Let j(h) = -b(h) + 3*p(h). Determine j(k(o)).\nAnswer: 1323*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -328, -611, -902, -1207, -1532, -1883?\nAnswer: -2266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + n + 3. Suppose -5*y + 9 = 4*m, 3*m - 3*y = 4 - 31. What is the remainder when (-2)\/6*(-1 + -86) is divided by r(m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-245)\/1 + 14 + -12. Is 18 a factor of (-32)\/3*r\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11547847079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 19*h**2 - 16*h + 1. Suppose -5*o - 5*z = -35, -4*o + 2 = -z - 1. Suppose -l + 62 = -5*l + k, o*l + 22 = -4*k. Is p(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(-7741*x**3 + 6191*x**3 + 459 - 459).\nAnswer: -3100*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 44? (a) 1\/7 (b) -1\/2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 716421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7958, 15917, 23874, 31829?\n\"Answer: -u**2 + 7962*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 10*x - 3. Let r = -267 - -247. What is the fourth biggest value in -2\/11, 0, x, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -127*t**2 - 10*t + 2. Let v(a) = -128*a**2 - 12*a + 2. What is -3*v(u) + 4*x(u)?\nAnswer: -124*u**2 - 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 65243556137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54078\/(-45065))\/(1\/((-5)\/696)).\nAnswer: 1\/116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 13*w. Let x be m(-12). Suppose -o - 6 = 5. Let b = o - x. Solve 0 = -5*v + b - 16 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6272?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + (64 - (107 - 91))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3 + sqrt(117) - (sqrt(468)*-2)**2).\nAnswer: -1874 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*18\/60)\/(-3)*4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05924406 + -2.1.\nAnswer: -2.04075594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 201*p**2 - 203*p + 1436. Does 137 divide k(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2\/5*t**2 + 0*t + 2\/5*t**3 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 152 = -2*k. Calculate the lowest common multiple of k and 1.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + sqrt(11))*-5*6)**2.\nAnswer: 129600*sqrt(11) + 486000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69819 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -67.7 and 196131999.\nAnswer: 196131931.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 642511 + 3801*y - 642511 + 4399*y**2 wrt y?\nAnswer: 8798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxhqqxxhoxxxxqxxhq. Give prob of sequence xqox.\nAnswer: 22\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8021, 8003, 7971, 7925, 7865?\nAnswer: 7791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 23986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-18))\/2 + (-240)\/(-360).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.18 + 138.82. Let f = o - 135. Suppose 0 = -2*j - 11 + 1, -13 = -q + 2*j. Which is the biggest value? (a) q (b) f (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 870*f + 18 = 873*f - 12 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4309*x**2 + 4371*x**2 - 8871*x**2 + 2*x.\nAnswer: -191*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - i. Let f(u) = -u + 9. Let a(q) = -f(q) + s(q). Let c be a(10). Calculate the greatest common divisor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 44659 (b) 0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*y = -28. What is the third derivative of -a**y - 19*a**2 + 67 - 67 wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2554019\/56 - -45609. What is the common denominator of 93\/16 and o?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212630 is divided by 118?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -138 + 144. Suppose 0 = 4*f + d - 4650, 5*f - 4*d = -l*d + 5811. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 24*u**2 - 22*u - 60. Let p be m(-5). Let g = p - 618. Calculate the lowest common multiple of g and 8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33264 divided by -11088?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/17))**(23\/3))**(-48) assuming i is positive.\nAnswer: i**(736\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from padapfzppapapdapp. Give prob of sequence zpfp.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ttttttstts.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Let t(g) = -5*g + 15. Let r be t(-7). Suppose -r - m = -2*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18073879.\nAnswer: 4177, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151442.\nAnswer: 2, 75721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u - 46. Let i be p(-16). Suppose -32*o = -29*o - i. Suppose 4*m = m + 3*l - 6, l - 4 = 0. What is the highest common factor of m and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 153\/(-1683) - (-432)\/33.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*c**3 + 86*c**2 + 60*c - 63*c + 3*c to v + d*c**2 + w*c + u*c**3 and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 a, and 1 q when three letters picked without replacement from {m: 1, q: 1, t: 2, g: 1, i: 1, a: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 1953139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -56)\/(0 + 1). What is the highest common divisor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 - 5*x)*(-4*x**2 + 9*x**2 - 4*x**2)*(-2*x**2 + 2*x**2 + 4*x**2).\nAnswer: -20*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94b7 (base 13) to base 3.\nAnswer: -1001020221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12\/160*(-24)\/4 - 36\/48\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 1082*n**2 - 20. Let x(j) = 1624*j**2 - 32. Give 8*w(c) - 5*x(c).\nAnswer: 536*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 10 = 2*o, 17 = o + 4*s + 3. Let q be (((-42)\/(-7))\/30)\/(o\/10). Which is the nearest to q? (a) -1\/3 (b) 2\/31 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32841 divided by -41\nAnswer: -801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 28524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 4. Let m = -1534.4 - -1534.5. What is the nearest to m in 5, u, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99)\/22*(-1)\/(-3))\/(-3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 7*j + 2. Let i be u(-5). Suppose -4*y - 13 = 11. Let l = y + i. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 7*z**2 + 6*z + 4. Let r be p(-8). Suppose -r = k + 4*k. List the prime factors of 2\/(-4) + (-34)\/k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66.6 - 8.6. Let u = s - 62.7. Let k = u + -3. What is k rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(891) + -1 - sqrt(891) - (5*sqrt(99) - 6*2*sqrt(11)))**2.\nAnswer: -18*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1562344184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60 + -1 + -2 + 3. Suppose -s = -2*b - 3*b. Solve -2*v + 4 = b for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7125*w**6 - 2*w**5 + w**3 + 478*w**2 + 2*w - 5.\nAnswer: 855000*w**3 - 120*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(612) + (sqrt(612) - 2*sqrt(612) - sqrt(612)) + sqrt(612))**2 + -6*(sqrt(17) + sqrt(17) + -1 + -5).\nAnswer: -12*sqrt(17) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77380304 at most 77380291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 5862247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1356472 (base 9) to base 15\nAnswer: -eb13b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3 = 7. Suppose 2*g - a - 5*g + 4*g**2 - 5*g**2 = 0. What is g?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1119.\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*t**2 + t**2 + 8*t**2 - 171*t**3 + 123*t**2.\nAnswer: -171*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/29)*q)\/q**(2\/3)*(q*q**(2\/3))**(-48) assuming q is positive.\nAnswer: q**(-6937\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13945963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 13948*x + 29747*x - 10033*x - 5 - 11477*x.\nAnswer: -5711*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 10*v + 3. Let z be y(-10). Suppose -m = -z*m + m. Solve 0 = -s + 5, m = 4*i - 4*s + 10 + 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -49. Let a(p) = -2*p**2 - 6*p + 5. Let v be a(-4). Let x = t + v. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001934132 rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*x - 81*x + 458*x + 97*x = -33824 for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -111*u**3 + 2 - 139*u**3 + u**2 + 0 + 2*u. Is t(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(4\/3))**26)**(23\/6))**44 assuming k is positive.\nAnswer: k**(52624\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 5*c + 2*c**3 + 7*c**2 - 22*c**2 + 5*c**2 + 6*c**2 + c**2 in the form m*c + w*c**2 + g*c**3 + p and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/4 (b) -20 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 36*l + 16*l**2 + 0*l**2 - 96 - 20*l**2 + 16 = 0.\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3176.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009326 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/20 and -19\/217871096?\nAnswer: 1089355480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -19*n + 50. Let u be o(-8). Which is smaller: 201 or u?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 26*o + 2. Let x be h(-26). Solve -x*b - 14 = 5*f - 5*b, 2*f = b - 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 3.425.\nAnswer: 0.685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*u - 42*u + n = -7, -7 = -5*u + n. What is the smallest value in 4, 0.5, -8, u, -0.1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -515*m**2 - 1 - 36*m + 3*m**4 + 257*m**2 + 259*m**2 + 3 - 2*m**3 as c + f*m + u*m**3 + a*m**4 + w*m**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*r + 117093 = -4431. Let l be r\/3230 - 8\/10. Which is the biggest value? (a) l (b) 5 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402 = 5*s - 93. Suppose 2*j - 4*j + 28 = 0. Let n = 23 - j. Calculate the greatest common divisor of s and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, k: 5, j: 3, h: 5}. Give prob of sequence hxj.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/21, 420, 1\/10?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/11))**(1\/73) assuming m is positive.\nAnswer: m**(-2\/803)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 9:17 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 5) to base 13\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61315288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1497, 3117, 4737, 6357, 7977?\n\"Answer: 1620*y - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 80*k**3 - 3*k**2 - 9*k - 6. Determine d(-1).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*l = 5*l + 264, 3*l = m + 252. Let o be m\/12 + (0 - 3\/(-4)). Which is greater: -22 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -338*n + 6135417 - 1237510 + 1134717. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 660805097.992986 - 660799012. Let o = -6086 + b. Let p = 0.007 + o. What is p rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 4998370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42\/31 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/49, -1, -3, -8 in descending order.\nAnswer: 2\/49, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.47673ml to litres.\nAnswer: 0.00047673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-90)\/4)\/(6\/(-16)). Suppose -2*w - n + 123 = 0, 5*w - t = 4*w - 2*n. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-41292)\/465)\/37)\/(2\/15).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4\/3 + 10351564*w**3\/3 - 5953047585720*w**2 + 3423516308228266812*w + 3423522261279303054.\nAnswer: -2*(w - 1725261)**3*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2002\/74 - (-3 + 2 + 13533\/12839).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (4\/3)\/((-2)\/(-87))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*v - 8 = 0. Let u(x) = -x**2 - 2*x**2 - x**3 + 2*x**2 + 5*x**v + 4*x + 3. Is u(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1554 - -1727. Let f = 5562 - i. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 4 = -3*d. Suppose 5*w = 5*p - 105, 10*p - d*p = -2*w + 70. Are p and -11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/150 - (3 + (-929)\/(-15) + (-80 - -73))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64737*a**3 - 7373*a**2 wrt a?\nAnswer: -388422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 4 - 8 - (8 - 1)) + 7 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 0 + 8)*(-70 - 5 + 22) + (-36 - 9 + 8)*(-1 + 2 + 0))*(-2*j**2 - 3*j**2 + 4*j**2) to the form y*j**2 + u + n*j and give y.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**4\/24 + 13*g**2. Let r(a) be the first derivative of a**3\/3 + a**2\/2 - 28. Calculate -r(j) - 2*u(j).\nAnswer: -j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a kilogram in grams?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*2*3\/6. Suppose 3*r - 10 - 23 = o. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33547 less than or equal to -33548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 7*y**2 - 75*y + 1236. Is w(18) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 342 - 254?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, -11415, 1?\nAnswer: -11415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-490)\/(-35) - (-3 + 1 + 1). Suppose -d*c = -11*c - 256. Does 23 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**2 - 4*u - 4. Let b be n(-4). Sort b, 5, 0 in ascending order.\nAnswer: 0, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*x - 3*x. Suppose 4*q - 1 = -3*v + x, -q - 2*v = 2. Let j = -178 - -180. Solve -j*z - 2 = q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46002 and 231?\nAnswer: 322014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - ((3 - (-25 - -46)) + (-2 - -15))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001746719603 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77 - -52 - -3) + (30 - -5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0725726 kilograms to tonnes.\nAnswer: 0.0000725726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 5:02 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24591\/10 - -4917\/2. Put v, -0.29, 2, -5 in descending order.\nAnswer: 2, -0.29, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 8 = -5*v. Let s be 5 - (6\/3 - v). Suppose 4*d - 18 = 3*o + 2*d, 5*o + 35 = 5*d. Sort 5, s, o in decreasing order.\nAnswer: 5, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/4*(-8)\/12. Let r be (2\/y)\/((-4)\/(-10)). Let o be (-12)\/(r\/((-4)\/6)). Solve 2*l + 4 = 3*d - 16, o = 2*d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12379, 24877, 37493, 50227?\nAnswer: 63079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**0*a)**(-6))**38\/(a**(-5)*a*a*a**(-2\/3)*(a*(a\/a**(-1))\/a)**(8\/9)) assuming a is positive.\nAnswer: a**(-4087\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 6:27 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6879 - -3816. Let p be 2 + w\/897 - -2. Let r = 17\/23 - p. Which is the second smallest value? (a) 0.3 (b) r (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 0.04084, -0.2, -5, -1\/4, 4\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-468)\/56)\/39*(336\/(-9))\/(-7).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -2 (b) 3 (c) -1\/2 (d) -452 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112647?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**4 - l**2 - l - 1. Let j(n) = 6*n**4 + 9*n**3 + 3*n**2 - 3*n - 3. Let h(x) = j(x) - 3*r(x). Find u such that h(u) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 24, -5, -0.3, 3, -340, -3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.4471 to one dp.\nAnswer: -19.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216327 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 97414297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r**2 + 21*r + 10. Is 27 a factor of t(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 381433686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7681688ug to kilograms.\nAnswer: 0.0000000007681688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 608, 583, 580, 611, 688, 823, 1028?\nAnswer: 1315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*t**2 - 59*t**2 + 35*t**2.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54697*g**4 + 26418*g**2 wrt g.\nAnswer: 1312728*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*64\/(-32)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*j + 7. Suppose -50 = -3*p - 5*r + 37, j*r - 111 = -4*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(17)*2)**2 + 5 - sqrt(17)).\nAnswer: -sqrt(17) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147)*1 + sqrt(24)\/sqrt(2).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Let h(l) = 5 + 1 + y*l - 5. Suppose -2*f - 3 = f. Give h(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 154d94 + -8?\nAnswer: 154d8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (685 - (8 + -3)) + 5. Suppose 69*v - 74*v = -y. List the prime factors of v.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 10*s**2 - 12*s - 8. Let c be r(-11). Let z be 2\/(-10) - c\/(-5). Is z equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7572, 30342, 68298, 121440, 189768, 273282, 371982?\n\"Answer: 7593*n**2 - 9*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -25.7. Let j = -5 + 8. Let t = j - 2. Which is the third smallest value? (a) k (b) 4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 1:59 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -14413 = -72066\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 3*n + 21, 2*w - 35 = -3*w + 4*n. What is the remainder when 279 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1656509 and 42207.\nAnswer: 42207.1656509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n - 4 = 2*h, 0 = h - 2*n - 3. Let g be 21\/4 + h\/4. Solve 4*o + g*x + 5 = -16, -o - 4 = x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 10*a**2 + 2. Let r = 249 - 239. Give o(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25\/78 - 1\/78. Put 3, -2, 1\/5, n in descending order.\nAnswer: 3, 1\/5, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*d**4 + 2*d**5 + 8727 + 42*d**3 - 8727 + 20*d**2.\nAnswer: 2*d**2*(d + 1)**2*(d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - v**2 + 2*v + 4. Give w(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 3:54 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1212 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 120941.6kg in micrograms?\nAnswer: 120941600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 3. Let v be (-1 - (-4 + l))\/(-2). Find the common denominator of 44\/9 and (-282)\/(-18) - (-2)\/v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74115 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 31*h + 2401. Let f be b(-77). Solve -n + k + 3 = 0, -17*n - 4*k - 26 = -f*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 97 + 96 - 4*m - 6*m**2 - 285 - m**3 + 97. Give h(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 10:38 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/114616040 and -93\/16.\nAnswer: 229232080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1667*i - 1836 - 4076 = 2423 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4185*p**3 + 704*p**3 - 1739*p**3.\nAnswer: -5220*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5103*o + 5157*o - 108 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = u - 19, -2*t + 7 = -4*u + 17. Suppose -3*c - 9 = 0, 0*c - 1014 = -2*h - u*c. What are the prime factors of h?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*g + 43*g - 18 = -6*p, -3 = 2*g - p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1283\/16 - 80. Calculate the common denominator of h and 71\/44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/16*(-4130)\/1239\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4928956957.\nAnswer: 29, 9161, 18553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**6\/120 - m**5\/60 + m**4\/24 + m**3\/2 - 2*m**2. Let l be s(0). Solve -4 + a**l - a + 4 = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462024 divided by 69?\nAnswer: 6696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*g + 40 = 4*l, -g = -l + 23. Let y be 239\/10 + l\/250. Calculate the greatest common divisor of y and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 119, 260, 455?\nAnswer: 704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 16089476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 1:10 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -15 (c) -0.4 (d) 19 (e) -2\/7 (f) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 6*s**2 + s + 6. Let g be t(-6). Suppose 0 = 2*a - g*a - 100. Suppose 2*k - a = -3*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 21 = 5*p. Let b(z) = -3*z**3 + 31*z + z**3 + z**3 - p*z + 6*z**2 - 11. Is b(6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.82 to one decimal place.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 448*y**3 - 7*y**2 + 14*y - 20. Is h(2) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/10 - (-1)\/(-5). Suppose -12 = -6*z + 12. Let f be (6\/(-4))\/((-3)\/z). Is m at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71 (base 11) to base 14.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 7*u**2 + 2*u - 4. Let i be q(7). Suppose 4*j - 6*j + i = 0. Solve y = x + 2 - 1, -j*x = 5*y - 15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**3 + 6*q. Let c(s) = -3*s**3 + 5*s. Let u(r) = -6*c(r) + 5*i(r). Give u(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 52 = 37. Let j(g) = g**3 - 3*g**2 + 2*g - 1. Let x be j(a). Solve x*y = 10*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*v - 4 - 4, -b - 5*v = -15. Let w be (-1 - (-16)\/12)\/((-1)\/(-9)). Suppose w*y - b = -2*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -44. Which is the fourth smallest value? (a) o (b) 3 (c) -1\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59427 - 97532. Let d = 38039.061 + x. Let i = -66 - d. What is i rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1308 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -910 + 936 - 10*d - 25*d + 3*d**2 + 2*d**2. Determine p(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2302 divide 813904328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -244 and -2224?\nAnswer: 542656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 167, 179, 189?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 21408, -0.3 in decreasing order.\nAnswer: 21408, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -19*j + 3*j**3 - 12 - 10*j - 4*j**3 - 11*j**2 + 25*j. Let k be o(-11). Which is bigger: k or 31?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-23*(-6492)\/24886?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.421*194073\nAnswer: 81704.733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 6. Let s(u) = u + 6. Let m(q) = 3*s(q) - 2*z(q). Let x be m(-5). Let i be (x\/2)\/(3\/6). Let t(p) = -7*p**3 - p**2 + 1. Calculate t(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*k + 18816, 92*k - 91*k = -4. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87621 bigger than -1567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ugeuezezumzbmgzeee. What is prob of sequence ubmg?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 9*m**3 + 7*m**2 - 7*m - 6. Let a(y) = 2*y**3 + 1. Let l(q) = 4*a(q) - u(q). What is l(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v - 2*v**2 - 2 + v - 2*v + 8. Let y(q) = 2*q**2 - 5*q - 5. Let s = 1 + -6. Calculate s*n(t) - 6*y(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/3*2\/(-6). Let c be n - (-1 - 1) - 2. List the prime factors of (-100)\/(-7) + c\/(-7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2. Let x(y) be the second derivative of -y**4\/6 + 15*y**3\/2 + 17*y**2\/2 + 2*y. Let u(c) = 3*h(c) - x(c). Is u(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1097, -2184, -3285, -4406, -5553, -6732, -7949, -9210?\n\"Answer: -g**3 - g**2 - 1077*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 8:48 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 1. Let h be (-2 + 1)\/(2\/(-8)). Factor 0*y - 5*y - h - u*y + y + 2*y**3.\nAnswer: 2*(y - 2)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 429 + -257. Let d = f - 54. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 10:52 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51708248 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 1:23 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 13. Let a be i(13). Suppose 0 = -n - 3, a = 5*w - 6*w - 3*n - 6. Solve w + 3 = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from ggmrgmmggrfgggggqgg?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6252 - 59*z - 3135 - 3132 to the form x + b*z and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + -2. Let l be ((-8)\/(-2))\/(18\/234). Let t = f + l. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/6 - 145\/(-87). Suppose -4*c - 2*f = -28, 7 = 4*f - m. Solve d = c*d + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.388 - 42076.\nAnswer: -42075.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h - 3. Suppose -11*g - 22 = -0. Let f be t(g). Solve -4*y + f = -1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 0.2 (c) -537\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.31 + -0.31. Let g = 20 - w. Let s = g + -5.948. What is s rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2239736676 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + -1 + (5250\/6 - -12). Calculate the highest common factor of q and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*f = -5*b + 38*f + 7913, 3*b + 5*f = 4807. Calculate the remainder when b is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -108 (base 10) to base 8.\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 35*j**2 - 73*j + 53. Determine m(-37).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) 2 (c) -3 (d) 6 (e) 11 (f) -28 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2 + 4 = 0. Suppose 0 = -x*r + 6*r. Solve -i - 4*g - 4 = r, -4*g + 8 = i - 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 4*l**2 + 23*l + 10. Let m be ((-12)\/5)\/(12\/(-40)). Let k be v(m). Calculate the common denominator of 151\/12 and (-12)\/(-20) - k\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 15*l**2 - 10*l - 27. Calculate b(-14).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*y + 51*y + 0 + 0.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 426*t**2*x - 6*t**2 - 104*t*x + 2*t + 12086339*x with respect to t.\nAnswer: 852*t*x - 12*t - 104*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 24. Suppose -8*h - 7 - b = 0. Let s(y) = y**3 + 5*y**2 + 2*y - 7. Let a(o) = -o**2 + 1. Determine h*s(z) - 5*a(z).\nAnswer: -z**3 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-18)*927\/(-515)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - x = 11. Let p be -2 + (-2)\/x - -12. Solve 0*f - z + 4 = f, -f - 5*z + p = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = a. Let p(u) = u**2 + 4*u + 7. What is the remainder when p(-6) is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**2 + 3297*c - 50130 = 0.\nAnswer: -1114, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8851935 millilitres in litres?\nAnswer: 0.0008851935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -3279*o + 3274*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**5 - 1158*t**4 + 33902*t**3 + 40878*t**2 - 178840*t + 105216 = 0.\nAnswer: -3, 1, 32, 548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -11 + i**2 - 18 + 8. Let a(s) = 5*s + 0*s + 7*s. Give a(d(k)).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (35\/14)\/((-15)\/30)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, m: 2, a: 3, w: 1, n: 2, i: 3}. Give prob of sequence as.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from ubbbbbub?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45918522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*h + 7*w - 1349, 899 = -2*h + 3*w. List the prime factors of (h\/24)\/((-1)\/3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1865\/2 + 933. What is the closest to 0.1 in d, 3.4, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1224\/544*176\/(-231)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000010100110010001111 (base 2) to base 9.\nAnswer: 12888031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/8 and 39\/3488?\nAnswer: 3488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2997689.\nAnswer: 2997689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 335, 28, 9 in increasing order.\nAnswer: 3, 9, 28, 335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25517519.6299803 - -25517521. Let z = u + -1.37. What is z rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 723246 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*v - 1 + 3*v - 6*v + 2*v + (-2 + 4 + 0)*(3*v + v - 3*v) - 3 + v + 3 - v + 4*v - 4*v - 393 + 393 - 7*v + (-4 + 3 + 0)*(-3 - 2*v + 3) - 3*v + v + 3*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 37581594 to the power of 1\/2, to the nearest integer?\nAnswer: 6130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 0 + 14 = 0. Let p be (-1)\/s*64\/48. Which is the second smallest value? (a) -2\/21 (b) 2 (c) 12 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2361)\/(-7) + (-14)\/49 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 c when three letters picked without replacement from {z: 16, c: 2}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2914 and 186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 0 - (-3)\/(-1). Let w = -28.95 + -13.08. Let i = 42 + w. Which is the second smallest value? (a) i (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*h - 110*h = -81*h + 540 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcmcccccmcccmcmcjjc. Give prob of picking 4 m.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -19*y + 28. Suppose 0 = 2*v + 3*v - 15. Suppose 3*t = v*p + 105, -t - 163 = -6*t + y*p. Solve -5*x + 2*n = -t, 4*x + 5*n - 4 = 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*a - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42230110 is divided by 71.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1430097334591953\/138921095700776 + -6\/9849765719. Let s = r - 442\/43. What is the common denominator of 17\/6 and s?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 - 2*o**5 + o**4 + (-6*o**4 + 187*o - 187*o - 7)*(-o + 2*o - 2*o).\nAnswer: 4*o**5 + 7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.05, 8, -1\/5, -0.02, 1, 0.222?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11368 divided by 2?\nAnswer: 5684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**7\/1260 + o**4\/12 - 3*o. Let s(y) be the third derivative of k(y). Let c(w) = w**2. Determine s(c(u)).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + 3. Let r be 4\/6 - u\/3. Let q = -0.1782 - 0.8218. Which is the nearest to -2\/7? (a) 4 (b) r (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 568630 smaller than 568629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3\/8, -30, -1\/21, 0.11 in descending order.\nAnswer: 3\/8, 0.11, -1\/21, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, -13, 195.16, -4.\nAnswer: -13, -4, 91, 195.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 9:27 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 279*j + 229. Let m(z) = -279*z - 228. Let q(v) = 4*m(v) + 5*x(v). Find the first derivative of q(u) wrt u.\nAnswer: 279","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1837, 7346, 16527, 29380, 45905, 66102, 89971?\nAnswer: 117512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a = 21*a - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5848.359 decades in millennia?\nAnswer: 58.48359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-462)\/10*25\/(-5). Suppose 5*k + t - 1 = -2*t, 4*k - 11 = t. Suppose k*r - q - 33 = 0. Calculate the greatest common factor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115 and 391?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 290 + 294 + 2*m - 584. Let j(f) = 2*f - 7149. Calculate j(v(h)).\nAnswer: 4*h - 7149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1717 at most as big as 0.05656?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 1.2, 6, -1444, 0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23 (b) 5 (c) 4 (d) -2\/143\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 0*n - 1\/24*n**4 - 1\/30*n**5 + 0 - 1\/3*n**3 + 18*n**2. Let w(c) = c. Determine -l(m) - 2*w(m).\nAnswer: 2*m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j - 4. Let x(w) = 4*w - 5. What is -5*u(z) + 4*x(z)?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 1531, 6769, 17921, 37189, 66775, 108881?\nAnswer: 165709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 224.3448 and 0.046?\nAnswer: 224.2988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 83 (b) 1\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.76 and 15240.\nAnswer: 15243.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/(-96)*(-12138)\/(-4). Let s = b - -512. Calculate the common denominator of (-4 + 2)*62\/16 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2507124207 and -461.409.\nAnswer: -2507124668.409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x - 6*x - 21*x - 2*x as h + a*x and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110102022111 (base 3) in base 16?\nAnswer: -1c0eaf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/7 - 90*o\/7 + 188\/7.\nAnswer: -2*(o - 2)*(o + 47)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 + 0.3. Suppose 2*v - 5*m = v + 50, 4*v - 219 = m. Let p be v\/70 + 1\/(-2). Sort w, p, -4\/7.\nAnswer: -4\/7, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-3465)*-24*18\/(-24).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5318*t*v**3 + 176*t*v**2 + 10*t - 536*v**4 - 9*v**2 + 31*v wrt v.\nAnswer: -31908*t - 12864*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 691256*k**2 + 10*k - 4. Let n be (-1)\/(-2) - ((-42)\/(-12) - 1). Let s be b(n). Round s to the nearest 100000.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15, 38, 65, 96, 131, 170?\n\"Answer: 2*v**2 + 17*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4\/4 + 839*v**3\/2 + 11999*v**2 + 144361*v\/2 + 242403\/4 = 0. What is v?\nAnswer: -1649, -21, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64416 and 4996?\nAnswer: 80455584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxrr when four letters picked without replacement from {x: 5, r: 3, b: 1}.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 2*y + 17. What is v(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -114.4? (a) 0.4 (b) 3.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 1 + 4)*(1 + 0 + 1) + 5 - 1 - 2 - 1763 - 1858 + 3745)*(-5*h**2 + 3*h**2 + 4*h**2) in the form j*h + q*h**2 + o and give q.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**3\/6 + u. Let v(c) = -545*c - 262. Let h(k) = 121*k + 67. Let f(j) = 9*h(j) + 2*v(j). What is t(f(b))?\nAnswer: -b + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 - 62 = m, 0 = 2*a + 2*m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r + 1. Calculate the smallest common multiple of 11 and k(1).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((171\/24)\/(-19)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 1 = 0, 5*r - 184*d = -189*d - 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.94 - -0.06. Let x = -10 + b. Put -0.3, x, -4 in decreasing order.\nAnswer: -0.3, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - (-124)\/32) + (-441)\/(-72). Which is the nearest to -1? (a) 0.1 (b) w (c) -4 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 0.2, 1891, 5 in descending order.\nAnswer: 1891, 5, 0.2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 3*k - 1. Let j be b(-2). Is (j\/(-3))\/(5\/(-2865)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 7. Let q = 26 - 23. Let t be 2\/(-6)*(2 - q). What is the nearest to m in t, -1, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 3225*v + 6462.\nAnswer: -3*(v - 2)*(v + 1077)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2. Let v = -200 - -200. Let j(d) be the first derivative of -3\/2*d**2 - 5 + v*d. Give j(l(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21838*v + 22092*v = -22606 for v.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 13*w - 2057 = 0. Calculate the highest common factor of w and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56.7 < -6.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*14\/(-16) - 2\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 27588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (-4)\/2) + -1. Suppose 2*t = -3*b + 102, -5*b - a*t + 112 = -57. Calculate the remainder when b is divided by 0\/1 + 1 + 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 125 + -7. What are the prime factors of s?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 - 5*z\/4 + 1.\nAnswer: (z - 4)*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnxgf. What is prob of picking 1 n, 1 v, and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -100?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*c*v**2 - 23*c - 10*v**3 - 24 with respect to v.\nAnswer: -26*c*v - 30*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.2 + -12.2. Let j = 27 - 7. Let r = 750 + -749.9. Which is the nearest to -1\/2? (a) j (b) m (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 2. Let f(s) be the first derivative of -s**3\/3 + 2*s**2 - 7*s - 25. Determine 2*f(b) + 7*v(b).\nAnswer: -2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -32. Let a = 4 + u. What is the smallest common multiple of 6 and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2*1)\/(4\/(-10)). Let z = 3 + y. Suppose 0 = 4*a + 2*f - 26, 0 - 4 = -a - 3*f. Which is smaller: z or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 10*f + 4*g + 1656, -2434 = 3*f - 4*g. Let k = -464 - f. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -7*b**2 + 19*b + 17. Suppose -5*f + 2*f - 39 = 0. Let u(p) = 3*p**2 - 9*p - 8. Let c(g) = f*u(g) - 6*o(g). Give c(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0257455 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**28*y)\/y*y*y)\/(y*(y*y\/y**(12\/11)*y)\/y) assuming y is positive.\nAnswer: y**(320\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/42 and 41\/336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 + 5 + -9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 442*m + 2 = -437*m, 2*k - 2*m = 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1448*b**3*v**2 - 272*b**2 - 3*b*v**2 wrt b?\nAnswer: -8688*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16330495?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922 is divided by 100.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwaw when four letters picked without replacement from {w: 7, a: 7}?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4 + 4. Solve c*i - 3 = -1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001001000 + -11?\nAnswer: 11001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3038561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**3\/6 + 4*f**2 - 2*f. Let q be v(-6). Suppose -q*i = 2*i - 28. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t*t*t**(1\/2)*t*t*t)\/t*t)\/t*t)\/t)\/(t**(-5)\/t))\/(t**(-1)*t**(-2\/19)) assuming t is positive.\nAnswer: t**(441\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -p - 4*k - 5, -2*p - 2*k - 10 = 0. Put p, -1, 2, -6 in descending order.\nAnswer: 2, -1, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1970 - 1945. Solve 5*i + 3*x - 5 = 0, 5 = 4*x + a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**2\/13 - 75246040*w\/13 + 707745816960200\/13 = 0.\nAnswer: 18811510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(-1064*p**5 + 62272 - 62272).\nAnswer: 2128*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 19*r**2 - 81*r + 35. What is s(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-279)\/837 - (4*1\/6 - -31).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - -9. Let i = -10 + 15. Solve h + 0 = -2*x + 5*q, -4*q = -i*x - 26 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/5*(-2 + -2). Let t(n) = -n**2 - 3*n - 5. Let g be t(f). Let w = g + 50. List the prime factors of w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -231 - -225. What is the units digit of 287 + (l + 15 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(20) + -5 + 2*sqrt(5) - (-4 + sqrt(720)*2).\nAnswer: -20*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16 - 61 - -1*1. Let s = -39 - a. Suppose s*p - 55 = 25. Calculate the highest common factor of 40 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 3*r**2 + 11*r + 11. Determine h(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 = 12*t - 53 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 18*w - 16. Let g be h(-19). Solve -g*k + 3 = -6*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120111020012 (base 3) to base 12.\nAnswer: -128535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**5 - 44*i**4 + 96*i**3 + 16*i**2 - 128*i.\nAnswer: 4*i*(i - 8)*(i - 2)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -35796172+6\nAnswer: -35796166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110 - 7*b + 110 + 25*b**3 wrt b.\nAnswer: 150*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 0 + 0)*(5 - 2 - 5)*(-182 + 5365*q - 10731*q + 5365*q).\nAnswer: -2*q**2 - 364*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 c when four letters picked without replacement from {q: 12, c: 7}?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11890436?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8258.109m?\nAnswer: 825810.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1817.5525 + 1815. What is y rounded to 1 decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10200 is divided by 179.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-35) - 2\/40*-14.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 11894523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 102100000022011 (base 3) to base 7\nAnswer: 102124255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 124738\/9 - 13860. Let b = -0.23 - -0.03. What is the nearest to b in -1\/2, 3, u, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/77)\/(6\/(-66)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110010010000 + 100010?\nAnswer: -100110001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.756 - 0.244. Is w smaller than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.565 in -0.4, 7, -2, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**3 + 872*g**2 - 39850*g + 482500 = 0.\nAnswer: 25, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46.75 + 52. Round v to one decimal place.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 17 - (55 - (-50 - -50))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-3)\/((-810)\/(-36)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**5\/20 + l**2. Let u(x) be the third derivative of -x**4\/2 + 5*x**2 + 296. What is u(p(g))?\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/915 + -2729\/7320. Which is the third smallest value? (a) 5 (b) o (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -3*k, 492*i = 496*i - 3*k + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 91.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/72*24\/(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 7. Suppose l - 3*l = 0. Solve l = r + s + w*s + 2, -3*r = -4*s - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**3 - 3 + 5*p**3 + 7*p**3 + 7*p**2 - 2*p**3. Let i(j) = 15*j**3 + 15*j**2 - 7. Let y(l) = 13*d(l) - 6*i(l). Give y(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*r**5 - 2582*r**3 + 3*r**2 + 2*r + 925.\nAnswer: -100*r**3 - 15492*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6d6 + 70?\nAnswer: -666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135133 and 697?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 14*h**2 - 4*h + 26. What are the prime factors of s(-14)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008338564 to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2771094 divided by 6.\nAnswer: 461849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -184 + -665.5137645\nAnswer: -849.5137645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 2\/341, -5, 0, -4, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 + -0.9. Let l = 0.17 + 0.03. Sort l, 3, n in increasing order.\nAnswer: n, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -14*r**2 + 21*r - 63. Let s(l) = -3*l**2 + 4*l - 12. Let u(h) = 4*m(h) - 21*s(h). Let c(q) = 98*q**2. Determine u(c(f)).\nAnswer: 67228*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.438437 + -0.380633. Let w = -1.82 - x. Round w to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1. Let z(j) = -2*j**2 + 14. Calculate m(u) + z(u).\nAnswer: -2*u**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -5, 9\/17, 3\/2 in decreasing order.\nAnswer: 3\/2, 9\/17, 2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1008\/54)\/((-1)\/(-3)). Let o be (-8)\/(-2)*14\/n. Solve 5*g = -o + 16 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.64 - 2.341?\nAnswer: -1.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25663.4 - -40036. Round b to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 192 = 6*c. Calculate the common denominator of -6*-19*3\/c and -35\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/28)\/((-2)\/(-8)). Let q = 255.64 + -251.64. Which is the fourth biggest value? (a) q (b) -5 (c) m (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10806 times 364\nAnswer: -3933384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22105.95 + -22106. Put -2, 55, v in increasing order.\nAnswer: -2, v, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -34*j**2 + 57*j + 406. Let n(t) = 22*t**2 - 58*t - 404. Let k(q) = -3*n(q) - 2*y(q). Factor k(o).\nAnswer: 2*(o + 10)*(o + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 7:15 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038810 rounded to the nearest one thousand?\nAnswer: 1039000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -27, -2, 0.03, -0.066, 1?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 8*z**2 + 23*z - 27. Let s be p(9). Calculate the greatest common factor of 44 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9360, 9370, 9380, 9390, 9400?\n\"Answer: 10*d + 9350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -13. Calculate the remainder when 9 + 6 + (2 - 1) is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 - (-8 + 8) - 11108*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11, -439, -4, 0, 140.\nAnswer: -439, -5, -4, 0, 11, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 300 - 292. Is (5 - (-39)\/(-8)) + 1599\/v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**2\/8 - 4737*d\/8 - 312555\/2 = 0?\nAnswer: -1244, -335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 6*p - 41 + 3\/2*p**2. Calculate v(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 4*j - 37 - 18 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(2\/21))\/a)\/(a*(a*a\/(a*(a\/a**(-1\/3))\/a))\/a*a))**(-8) assuming a is positive.\nAnswer: a**(88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b + 5. Let z(v) be the third derivative of -v**4\/4 + 3*v**3\/2 + 140*v**2. Give -7*n(c) + 4*z(c).\nAnswer: -3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k - k**4 + 5*k - k**3 - 2*k**3 as q + o*k + h*k**2 + b*k**3 + w*k**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 x, and 1 y when three letters picked without replacement from xqbsssqyxqsyqbeyyyy.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11673990 divided by 6.\nAnswer: 1945665","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, -4, -49?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*(r*(r*r**4)\/r*r)\/r)\/(r**(2\/11)*r) assuming r is positive.\nAnswer: r**(64\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9.2? (a) 0.1 (b) 0.01 (c) -1 (d) 0.9 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 1:29 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 + ((-2)\/(-18) - (-294)\/567*3)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-21 - (60 + -18 + 6)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 22*s**2 + 26072498*s + 14221356 = 0?\nAnswer: -1185113, -6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**2 + 3*m**2 - 4*m**2 - 2*m**2 - m**2 + 2*m**2 + (-11*m**2 + 13*m**2 - m**2)*(2 - 2 + 2) in the form d*m**2 + j*m + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 2:20 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 143*j - 69*j - 4 - 72*j + (-2 + j + 2)*(-j - 3*j + 2*j) + 2*j**2 - 4 + 4.\nAnswer: -2*j**2 + 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9612 + 24.0378. Let q = o + -26. What is q rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33041.26t to kilograms.\nAnswer: 33041260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wywn when four letters picked without replacement from nnywnnncwiynccwwiin.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 113*i**2 + 6*i + 5. Let z be o(-7). Round z to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.162 and 0.065.\nAnswer: 0.40053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43648 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73275 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 267161 - 267161.0219991. Let s = p + 0.022. Round s to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by (-2)\/((-4)\/79) - 15\/10?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6, -15, -22, -27, -30?\n\"Answer: u**2 - 12*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/2)\/(1 - 0). Suppose 6*d - 8*d + 10 = c. Sort d, 3\/5, 4\/5 in ascending order.\nAnswer: 3\/5, 4\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1582?\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/9782020 and -73\/1467303?\nAnswer: 29346060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x**2 + 6*x**2 - 3*x**2)*(540*x - 540*x - 55*x**2) to b*x**3 + w*x + o + a*x**4 + p*x**2 and give a.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t\/(t*t**(-6))*t))\/(t**(-5)\/t)*(t\/((t*t**1)\/t))**38)**(-2\/11) assuming t is positive.\nAnswer: t**(2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -780 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1830 and 2895670?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 4 + 6 - 10. Let x(s) be the first derivative of 2*s**2 + 3. Determine j(x(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -0.2 (c) -3 (d) 14\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1284*d**3*i**2 - 39*d**3*i - d**3 + 8*d*i wrt i?\nAnswer: -2568*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - -1) + 39\/6*(-756)\/546?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 23. Let h(b) = 4 - 2 + 22*b - 5*b + f*b. What is the units digit of h(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29453129 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 74 = 4*v - 306, -5*v + 505 = -5*d. Suppose -c - v = 4*j, -2*j + c - 37 = 16. What is the tens digit of 5\/j - 116\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 237134, 474271, 711408, 948545?\n\"Answer: 237137*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84428*r = 84427*r + i - 4, r - 5*i + 12 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 92 (b) 4 (c) 3 (d) -4 (e) -97\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x + 1. Suppose 2*g = -5*d + 9, -5*g - 21 = -4*d + 2*d. Let m(n) = -11*n - 2. Determine d*m(i) + 5*q(i).\nAnswer: -8*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2.1. Let f be (-4 + -1 + 0)*(-16)\/(-20). Let p be f - -2 - (-6)\/4*2. Which is the smallest value? (a) p (b) q (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1587*p*r**2 + 2*p*r - 5631*p + 37*r**2 - 2*r - 129 with respect to r.\nAnswer: 3174*p*r + 2*p + 74*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-1 + 3 + -1 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.62, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*4*(-6)\/(-8). Let k be r - 0 - (-27 + 4). Calculate the highest common divisor of 8 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -524260 divided by 4.\nAnswer: -131065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyvy when four letters picked without replacement from vvvvvyvvvyvvyvvyyvv?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29504 equal to 29473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 963 divided by -3\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8780, 7548, 5504, 2642, -1044, -5560, -10912?\n\"Answer: -x**3 - 400*x**2 - 25*x + 9206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24\/7 in 0.2, 5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38983*w + 23933?\nAnswer: -38983","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (38 - -95) + (44 - 198)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 376, 1526, 3438, 6106, 9524, 13686, 18586, 24218?\n\"Answer: -n**3 + 387*n**2 - 4*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4076?\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 0)\/((-2)\/5). Solve c*n = -6 + 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28078250*c**2*p**2 + 486704*c*p**2 + 3*c + 5*p**2 + 2*p wrt c.\nAnswer: 56156500*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/77690 and -121\/77690.\nAnswer: 77690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 242 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**3\/3 - 3*k**2 + 97*k\/3 + 35 = 0.\nAnswer: -15, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 6:03 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 29 + 3*w)*(-6*w**3 + 0*w**3 + w**3)*(1 + 2*w - 1).\nAnswer: -30*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 + -167\/3. Let q(w) be the second derivative of 2*w + 0 + j*w**3 - 3\/2*w**2. Give q(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/(-12) - (-354186)\/56?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/(-9))\/((-2)\/3). Suppose 3*k - 2*t - 1107 = -340, q*k + 4*t - 1036 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3\/7 + 6604*a**2\/7 + 711104*a + 851634944\/7 = 0.\nAnswer: -328, 3958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in -4, -0.2, 71?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w**2 + 1721*w - 23761. Give o(416).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1043119 is divided by 173851?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2217344 and 367744.\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 98 = 5*d - 3*i, 2*d = -2*i + 52. Let l be -1*(2 - d\/9). What is the second biggest value in -5, 3\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -183297 divided by 6?\nAnswer: -61099\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/16 or 369?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 10*n**2 - 18*n - 20. What is the tens digit of z(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + f**2 - f. Let s(r) = 40*r**3 + 50*r**2 - 50*r. What is s(y) - 50*w(y)?\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = z + 3*z, -2*z + 754 = 4*u. Is 38 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 6 = -16. Solve -6 = 2*u - j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**3 + 0*h**3 + h**2 + 8*h**3 to b*h + p + y*h**3 + f*h**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 2*h - 118, 4*h + 8 = -3*u + 150. Calculate the least common multiple of u and 14.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 29206.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**2 + 9*n + 6. Let c be m(-7). Let a = c - 54. Suppose 3*k - 42 = a. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -699511 (base 11) in base 10?\nAnswer: -1110671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/7)*c*c)\/(c*c**(2\/11)*c))\/(c**7*((c**(-4)\/c)\/c)\/c*c*c)*(((c*c*c*c\/c**2*c)\/c)\/c)**28*(c*c*c**(-4))\/(c\/(c**4\/c)*c) assuming c is positive.\nAnswer: c**(1889\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -75*g + 15. Let a(w) be the second derivative of 19*w**3\/6 - 2*w**2 + 2*w + 191. Determine 15*a(u) + 4*d(u).\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6511 is divided by 361?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 6593.\nAnswer: 19779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22401096 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4*0.2.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -39.1 and 14.\nAnswer: -547.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 10. Suppose -5*f = -10*f + q. Let d(s) = -3*s**2 + 1. Calculate d(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -18. Let d = 11 - i. What is the third derivative of d*k**2 - 2*k**3 + 5*k**3 - k**3 - k**3 wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.1 + 0.9. Let d = 8.8 - k. Sort -5, d, 0.1 in increasing order.\nAnswer: -5, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2094899 is divided by 63?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m**(-2)\/m)\/m*m*m))\/m)**3\/(m**(1\/2)\/(m*m*m**(-1\/7))) assuming m is positive.\nAnswer: m**(103\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwwg when four letters picked without replacement from gwwgwwwgwgwwwwwwggg.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -43 (b) -1\/6 (c) 3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5604773663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-9)*(0 + (-6)\/(-100)). Let n = 3 + -2.3. Let b = n - 1.2. What is the nearest to -1 in -5, z, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 100. Let s(v) = -v. Determine s(o(f)).\nAnswer: -f**2 + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-44)*(-10)\/75?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2))**(-29)*(g**(-7)\/g*g)\/g**(1\/4))**(2\/9) assuming g is positive.\nAnswer: g**(203\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -g + 1, 4 = -g + n - 1. Let d(l) = 3*l**3 + 24*l**2 + 6*l - 1. Is 11 a factor of d(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(6)*-5))**2 + 5*sqrt(80).\nAnswer: 1\/5 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g. Let k(y) be the first derivative of 110*y**3\/3 + 37. What is k(b(m))?\nAnswer: 440*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**3 - 3*m**3 + m**3)*(-2 - m - 2*m + 4*m).\nAnswer: 2*m**4 - 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -0.04, 224.3, -0.5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2093469317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 3*f - 3147 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 33*(5\/(-3) + 9 + -7). Suppose 43 + 34 = m*q. What is the highest common factor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 214 + -210. Let t(v) = 0 - 49*v + 50*v + g. Let q(s) = -s. Calculate 3*q(y) + t(y).\nAnswer: -2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -572*j**2 - 342*j + 6. Let u(i) = 572*i**2 + 343*i - 9. Let y(z) = 3*s(z) + 2*u(z). What is the second derivative of y(n) wrt n?\nAnswer: -1144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*q + q + 4*p, -3*p - 12 = -3*q. Solve r = i + q, 1 + 12 = 4*r + i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u + 2. Let r be c(1). Let b(t) = t + 8. Determine b(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 10 = -m, 4*d - 1 = m - 23. Suppose -4*o + m = -6. Let j = -2 + 0. Which is the third biggest value? (a) 0.2 (b) o (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3690*c**2 + 1354*c**2 - 175492*c + 181431*c wrt c?\nAnswer: -4672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 5*s**2 + 7*s + 8. Suppose 0 = -5*k - 2 - 28. Let m be d(k). Suppose 4*r - 16 = m*r. Calculate the smallest common multiple of 2 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-5)*20\/6*1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -430 + 2211?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + n**2 - 2*n + 35. List the prime factors of k(0).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -279*b**5 - 3*b**3 + 16*b**2 - 5892*b - 2 wrt b?\nAnswer: -5580*b**3 - 18*b + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1022\/8359 or 1?\nAnswer: -1022\/8359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(20\/6) - (2 + -3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 921982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.56982915 rounded to 2 dps?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from kbjsesv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (2\/(-5))\/((-12)\/75).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2. Let h(l) = -15*l**2. Let s(o) = 25*a(o) + h(o). Let t(p) be the second derivative of p**3\/3 + 4*p. Give t(s(n)).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 275 and 12725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 26*u**2 + 68. Let v(n) = 2*n**2 + 1338. What is v(z(s))?\nAnswer: 1352*s**4 + 7072*s**2 + 10586","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3390 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -192*(-4)\/12*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, 29, 5 in decreasing order.\nAnswer: 29, 6, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -291 + 291 + 2*v + 103*v**2 - 11*v**2 as f*v + k*v**2 + n and give k.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 211*o**3 + 10*o**2 - 12*o + 1. Let h be b(1). Suppose 124*i + h = 134*i. What is the remainder when 36 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 5*j**2 - 52 + 24.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-52)*(-29 - -23)\/(-36)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-4\/7))\/x**(-6))\/(x**0)**(4\/9)*(x**0)**28*(((x\/x**(1\/2))\/x*x)\/x*x)**(-2\/5) assuming x is positive.\nAnswer: x**(218\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2672 (base 12) to base 7\nAnswer: -15563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + t - 2*n + 167, 4*n + 692 = -4*t. Let d = t + 328. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 26*s**2 - 4*s + 1. Let w(z) = -105*z**2 + 17*z - 4. Give 9*l(t) + 2*w(t).\nAnswer: 24*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23499172?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -181\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -74*a + 218. Give t(1).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -936 + 21?\nAnswer: -915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(102)*2)\/(-6*sqrt(54)) + -4 + sqrt(17)*-2*-3 + -2*sqrt(612) + sqrt(17))**2.\nAnswer: 368*sqrt(17)\/9 + 37268\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428*z - 61 = 5*a - 432*z, -3*a + 5*z - 60 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.552 * -0.1.\nAnswer: 0.0552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/4 - 13*d + 169.\nAnswer: (d - 26)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -96 + 134. Let f be d\/133 - (-2)\/(-7). Solve 2\/7*z**3 + f + 0*z**2 - 2\/7*z = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3706 + 1?\nAnswer: -3705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 249676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 12:07 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*u**5\/7 + 1254*u**4\/7 - 8472*u**3\/7 - 6192*u**2\/7 + 4944*u + 672 = 0. Calculate u.\nAnswer: -2, -2\/15, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -d - 4*y, 3*d + 42*y - 1 = 37*y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 1040?\nAnswer: -11\/520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 345\/27 + (-18)\/(-81). Let b = u + 25. Calculate the remainder when 116 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 5, 12, -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9405389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/104)\/((-4032)\/13104).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 8*v + 2. Let b(d) = -653*d. Determine b(c(n)).\nAnswer: -5224*n - 1306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by 417.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-7) - 80\/7. Let d = 123\/11 + b. Determine t so that d*t + 0 + 0*t**2 - 2\/11*t**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2030\/1160)\/((-1)\/(-8)*2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f - 16. Let a = 168 + -163. Suppose -3*u - 1 + 3 = 4*j, 3*u = a*j + 38. Calculate q(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 15. Find the third derivative of 71*x - 71*x - 6*x**4 - u*x**2 wrt x.\nAnswer: -144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 792 and 19748600.\nAnswer: 1955111400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71760 by 17940.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**7*y)\/y*y**(-8)\/y)\/(y\/y**(1\/4)*y*(y\/(y\/y**(5\/2)))\/y) assuming y is positive.\nAnswer: y**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2276 (base 10) to base 9.\nAnswer: -3108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**3 - 28*w**2 + 42*w. Calculate the least common multiple of r(12) and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrxx when four letters picked without replacement from rsrssrxrxxrsssrsrx?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 15*t**2 - 3*t**3 + 31*t**2 + 5*t**3 - t - 13. Let z be j(-16). Factor -1\/4*b**z + 0 + 1\/2*b - 1\/4*b**2.\nAnswer: -b*(b - 1)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1 (c) -4\/7 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5980 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(4) - sqrt(4)*-3))\/(sqrt(36)\/(sqrt(36)\/sqrt(3)))*3*4.\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6223235 (base 8) in base 4?\nAnswer: 12102122131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 310*v + 26*v**4 + 66*v**4 + 4*v**4 + v**3 - 315*v to the form t + p*v + q*v**4 + u*v**2 + k*v**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/(-11) + (-2)\/1. Sort -1, 4, 5, s in decreasing order.\nAnswer: 5, 4, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 - 518 = -2*b + 5*t, -5*t + 1265 = 4*b. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.588 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.3 (b) 5 (c) -2\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -484, -1970, -4434, -7864, -12248, -17574, -23830, -31004?\nAnswer: -39084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20611\/7740 + 5\/387. Find the common denominator of -73\/28 and c.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17721.\nAnswer: 3, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1744*s**3 - 804218*s**2 + 804218*s**2 - 1746*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 180 + -170. Is ((-9 - -7) + -8)*(-236)\/f a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24012 + 1?\nAnswer: 24013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**3 - 2*c**2 + c + 2. Let i be u(-1). Suppose 14 = -i*n - 1. Sort n, 1, 2 in ascending order.\nAnswer: n, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313385083 to the power of 1\/3, to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**8\/40 - 31*w**7\/350 + 9*w**6\/100 + w**5\/100 - w**4\/20 - 7*w**2. Let x(l) = 0. What is l?\nAnswer: -2\/7, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 108\/5 + 6\/15. Suppose 20 + i = u + 2*q, 3*u - 3*q = 135. Let b = -28 + u. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*z - 3*g, -2*z + 3*z = -g - 5. Let x be 3 + (-3)\/((-3)\/z). Let h(f) = 4*f**2 + 3*f + 4 - 3*f**2 - 1 - 2*f**x. Give h(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16913 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v - 11. Let t be (6 + -2)*18\/12. What is the remainder when 40 is divided by z(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76622 divided by -6?\nAnswer: -38311\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102 - -196. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25, 27, 23, 13, -3?\n\"Answer: -3*l**2 + 11*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 16215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5 + 55 = 0. Let n be (-3)\/2*r\/3. Suppose -n = -h - 1. Let x(b) = 3*b - 4. What is x(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 - 2*l**2 + l**2 + (-l + 0*l + 2*l)*(16 - 5 - 1)*(-10*l + 13*l - 3 + 2).\nAnswer: 31*l**2 - 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6198 and -0.601.\nAnswer: -6198.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s = -16*s + 12*s - 10*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -15. Suppose -h = -2*x - 9, 2*h + h + 15 = 0. Let o = t + x. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 541553, 1083077, 1624589, 2166083, 2707553, 3248993, 3790397, 4331759?\nAnswer: 4873073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141518631 divided by 2.\nAnswer: 141518631\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2250 divided by 4.\nAnswer: -1125\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 43*m**3 + 48*m**2 + 12*m + 13. Is f(16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 4 = -11*c. Let a(d) = d**2 + d + 1. Let x(g) = -3*g**2 - 3*g - 4. Let v(y) = c*x(y) - 4*a(y). Let n(o) = -2*o**2 - o. What is -n(q) + 3*v(q)?\nAnswer: -q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3709 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: What is 171 minutes before 12:22 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 384.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10786.8 - 6130. Round h to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480589*h = -477023*h - 274582 for h.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -700.1606 - -0.1606. Let u = l - -700.00323. What is u rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5))**(3\/4)\/(r*r**(2\/29)*r**4) assuming r is positive.\nAnswer: r**(-1383\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 554009 and 6519.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 24 = 0, -2*k - 2*i + 176 = -458. Which is the closest to 0? (a) -0.5 (b) -5\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -410 + 80. Let m = j + 330.0000121. What is m rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13 from -252.\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 515*k**2. Let w(u) = 344*u**2. Let g(c) = -5*m(c) + 7*w(c). Let s(o) = -2*o**2. Determine g(s(d)).\nAnswer: -668*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121 + -24?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/2681247 and 47\/24131223?\nAnswer: 24131223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**22*(a*a**(-2\/35))\/a assuming a is positive.\nAnswer: a**(768\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 17*l = -13*l + 622, -5*l - 3095 = -5*c. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -4*c + 12\/5*c**5 - 2*c**4 + 8 - 8\/3*c**3 + 6*c**2 - 2\/3*c**6. Factor u(v).\nAnswer: -4*(v - 1)**4*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -341202094 greater than -341202094?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1643, 3353, 5121, 6935, 8783, 10653, 12533?\nAnswer: 14411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 38867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146176271 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4930511, 4930476, 4930441, 4930406, 4930371, 4930336?\n\"Answer: -35*c + 4930546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*l + 131 - 185 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**3 + 2*z**2 + 3*z - 1. Let j(y) = y**3 + y**2 + y. What is -g(c) + 2*j(c)?\nAnswer: 5*c**3 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 6 = -2. Suppose -3*t = l*s - 39, 3*t + 1 = 4*s - 8. Solve -4*m - 12 = 0, -3*q - 12 = m + s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4622*n + 63 = -3*g - 4616*n, 2*n = -4*g + 36 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 0.3. Let x = 60.85 - 0.85. Let a = -61 + x. What is the nearest to q in a, -2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2424109631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - 45\/(-12)) + (-5)\/(-4). Let -2\/5*k + 0 + 4\/5*k**a - 2\/5*k**3 = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5727.\nAnswer: 3, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, -1544\/3, 166\/3, -1\/2?\nAnswer: -1544\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6814711l?\nAnswer: 681.4711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnp when three letters picked without replacement from hpn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271*x = -53*x + 75*x - 1465. Solve -12 - 11 = -x*r + 3*k, r + 4*k + 23 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4)*a\/(a*a**(-1\/4)*a)*a*a*((a*a*a*(a\/(a\/(a*a*a**6\/a)))\/a)\/a*a)\/a*a**(-3))**19)**(2\/35) assuming a is positive.\nAnswer: a**(171\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*f + 1. Put -7, f, 3 in decreasing order.\nAnswer: 3, f, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 873*k**4 - 2 + 913*k - 10 + 12 wrt k.\nAnswer: 10476*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -12*o + 61. Let w be n(5). What is the nearest to 1\/4 in 0.2, w, -1, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -519*a + 19631 + 20176 + 5865 for a.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (1 - 3)*4. Let n(z) = -6*z**3 + 2*z**2 + 4*z - 2. Let x(i) = 7*i**3 - 2*i**2 - 4*i + 3. Let c(w) = s*n(w) + 5*x(w). Determine c(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 3*c**2 - 3*c + 3. Let k(w) = -w**3 + 6*w**2 + 7*w + 6. Let f be k(7). Let b(i) = 2*i**2 - 2*i + 2. Let l = 687 - 691. What is f*b(d) + l*n(d)?\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-20) + (-10)\/(-8). Let c(x) = -x + 42. Let m(t) = 1. Let l(w) = k*c(w) + 6*m(w). Does 13 divide l(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -52, -44, -32, -16, 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -38*x**3 + 23*x**2 - 5. Let d(i) = -37*i**3 + 22*i**2 - 6. Let q(n) = 5*d(n) - 6*y(n). What is the third derivative of q(a) wrt a?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -31*f + 145. Does 87 divide s(-29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63337325 to the power of 1\/4, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 11:17 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(12\/8)\/(3\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2278 - 1094. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 - 2.9. Let c = -2.3 - p. Let h = 2.94 - -0.06. What is the third smallest value in h, c, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -98914639\nAnswer: 98914639.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -36*j + 81. Is w(-11) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.95 + -1. Let n = -0.15 - t. Let d = 1 + -4. What is the nearest to n in 2, 3\/2, d?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/10 and -113 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 p when two letters picked without replacement from {x: 1, d: 2, p: 12, e: 1, u: 2, t: 2}?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141882631?\nAnswer: 11, 191, 67531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -7. Which is the closest to d? (a) -3\/2 (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*v - 142011 - 73204 = 105*v. Sort 5, v, -1.\nAnswer: v, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12597 - -12597.0294. Which is the second biggest value? (a) y (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 3 + 24 = 0. Let p(i) be the second derivative of 2*i + 0 - 5\/3*i**b + 0*i**2. Calculate p(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v - 49. Let k be w(-17). Is (-2)\/(-13) - k*(-144)\/(-156) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -470.0446 - -0.0446. Let w = -470.3 - o. What is the second biggest value in w, -0.04, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 3*f - 1. Let u(o) = -o**2 - 4*o - 1. Let m(b) = -3*u(b) + 4*z(b). Differentiate m(i) with respect to i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, n: 4, w: 5, t: 2}. Give prob of sequence wtt.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.5284 to one decimal place.\nAnswer: 31.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i**12*i)*i*i\/(((i*(i*i**14*i)\/i)\/i*i)\/i))**(-34)\/((i\/(i*i*i*i\/i**(3\/2)))**(-1\/4))**(1\/47) assuming i is positive.\nAnswer: i**(306813\/376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3647 - 3627. Calculate the lowest common multiple of f and 1572.\nAnswer: 7860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 46.9? (a) -3 (b) -7 (c) 5 (d) 6 (e) -0.008\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/24 + (-7)\/21 + 126\/72. Solve -3 = -4*b + 5*x, -5*b - 194 + 173 = w*x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 846 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + 2 - (-1 - (7 - 16))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4*z*z**(-7))\/(z\/z**(-2\/3))**(1\/31) assuming z is positive.\nAnswer: z**(-191\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*h**2 - 111*h**2 - 109*h**2 - 115*h**2 - 109*h**2 + 683*h**2 - 117*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4320\/1600)\/((-8)\/(-30)) - 10?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 804*a + 2 - 29958*a**2 + 807*a - 1611*a.\nAnswer: -29958*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-1452))\/((-179)\/(-716))?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*6\/(-72)*(-9)\/10.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -8 + -3 + -1 + (4 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 20228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 - -0.2. Let p = 97\/372 + -1\/93. Sort 0.5, d, p in ascending order.\nAnswer: d, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kryoyk. What is prob of picking 3 y and 1 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 3 = 5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/3*(-15048)\/3344\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 676071 is divided by 61454?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 41255103 (base 8) to base 7\nAnswer: 134166200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 337949044 to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -169 + 173. Find i such that -1\/3*i**4 - 4\/3 - 2*i**3 - t*i - 13\/3*i**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 equal to 2.726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-4)\/(-8) - (-48)\/6. What is the third derivative of -q*o**5 + 21*o**5 - 2*o**2 + 25*o**2 + 16*o**5 wrt o?\nAnswer: 1680*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2))**(2\/5)*d\/(d*(d*d**0\/d*d)\/d)*d**(-1\/5)*(d\/d**(1\/3)*d)\/d*d**(-1)*(d**(1\/3))**49 assuming d is positive.\nAnswer: d**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -286*p**4 - 17*p**2 - 1 - 2*p + 145*p**4 + 147*p**4 - p**3 as d + l*p + k*p**3 + t*p**2 + v*p**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003845738947 to 7 dps.\nAnswer: 0.0000385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*h = -52*h - 45*h + 98 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 597948442 and 182.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 8 + 4. Let c(d) = 2*d - 8. Let f(w) = -w + 4. Let q(x) = 4*c(x) + 7*f(x). Give q(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 257706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s + 3*s - s)*(27*s + 11*s**2 - 3*s**2 - 29*s) to the form k*s**3 + y + i*s**2 + x*s and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 1035*a - 3105*a + 1037*a + 1033*a + 3*a**2. Let l(r) = -8*r - 2*r + 5*r + 0*r. What is g(l(s))?\nAnswer: 75*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-21 - -7 - (-19 - -9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 1754382*x + 5263155.\nAnswer: -(x - 3)*(x + 1754385)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/(-4))\/(6\/8). Let l be 36\/21 - x\/(-21). Suppose -o + 7 = l. Which is smaller: 3 or o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t**2 - 398*t - 1525. What is x(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 1)*(-4 + 2*f + 4) - 4*f + f + 4*f)*(-10*f - 8*f - 3*f).\nAnswer: 63*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.53 and -4.3494.\nAnswer: 37.100382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -w + 5*f - 31, 0 = 5*w - 2*f + 20 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 103353?\nAnswer: 103355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*t. Suppose t = 2*i - i - 10. Let l be (-22)\/(-3) + i\/15. Solve d = -3*d + l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 - 87. Let x(o) = 40*o + 4. Let b be x(-3). Is 13\/(b\/k - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/24*1*4. Suppose -22 - 8 = -u*c. Suppose 4*q + 5 = -5*j, -3*q + 29 + c = -4*j. What is the lowest common multiple of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 312193, 623537, 934883, 1246231, 1557581?\nAnswer: 1868933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -861*f + 847*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59450 divided by 2378.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253223.\nAnswer: 131, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**5 + 315*l**4 + 4050*l**3 - 4320*l**2 - 194400*l = 0.\nAnswer: -45, -12, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**5*f**2 + 337*c**2 - 1033*c*f**2 wrt c.\nAnswer: -20*c**3*f**2 + 674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 2066600781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1599 in 19, 0.5, -20, -2\/13?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 28*f + 98.\nAnswer: 2*(f + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -65*j**2. Let b(t) be the first derivative of -6*t**3 - 63. Determine b(p(x)).\nAnswer: -76050*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 (base 12) in base 3?\nAnswer: 21210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (5 - 12 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 210 + 53 = 0. Let p = -4716 - -4716. Which is the smallest value? (a) p (b) -0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15255049, 15255051, 15255053, 15255055?\n\"Answer: 2*j + 15255047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 7:42 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0022712 rounded to four decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n**3 + n**3 + 4*n**3)*(-7*n - 1 + 1) - 41*n**3 - 3*n**4 + 41*n**3 to w*n**2 + p*n**4 + t*n**3 + h + f*n and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -16379*n - 16381*n + 32757*n. Let r = 2 + -4. What is y(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2 - 36*l - 2. Let u(f) = -13*f**2 + 144*f + 9. Let j(w) = -2*u(w) - 9*z(w). Determine d so that j(d) = 0.\nAnswer: 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/6 + 1257857*a\/6.\nAnswer: a*(a + 1257857)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 + 125. What are the prime factors of u?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d + 11. Let f be u(11). Suppose 4*w - f = -1. Let n = w + -5. Solve 3 = -n*c - 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8*-3)\/(4\/16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 48, 187, 456, 897, 1552?\nAnswer: 2463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -45.1. Let q = -5 - -7. Suppose 0 = -6*o + q*o. What is the closest to 0 in o, -5, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 57*g = -53*g + 2092, -6346 = -3*q - 2*g. Suppose -3*x + x = 1802. Let i = x + q. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (88\/(-36))\/(2\/6). Let q = o - -8. Are -25 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 7*r**2 - 6*r - 8. Let y = -20 + 28. Let z be x(y). Let v = -8 + z. Solve 2*f + v = 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/8)*b*b*b*b**(3\/2))**(-36) assuming b is positive.\nAnswer: b**(-351\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 19*l**2 + 28*l + 56. Calculate k(-4).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24057277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -3*a - 33. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 11:28 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 30*y**2 + 2*y + 72. Determine m(-30).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25.455 - 25.055. What is the third biggest value in 0.5, 2, o, -51?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 169*k - 131. Let n(u) = 171*u - 131. Let a = -565 - -571. Let z(g) = a*n(g) - 7*t(g). What is the derivative of z(q) wrt q?\nAnswer: -157","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 1\/4, 2\/9, 0.01, -2\/9?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6222*i - 343*i + 1132*i + 3 - 3.\nAnswer: 7011*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j = 9*j + 44. Suppose 3*d = -2*f + 39, -3*d + 3*f - 31 = -5*d. Is j less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 681854 from 55.\nAnswer: -681799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -12 - 10*p - 21*p + 3 - 4*p. Let a(x) = -18*x - 4. Let k(s) = -11*a(s) + 6*o(s). What is the derivative of k(h) wrt h?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h + 47. Let b be l(-6). Let j(r) = 4*r - 16. Determine j(b).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/44)\/(15\/(-100))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 8:34 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 356928 and 968?\nAnswer: 3926208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 times -1.48?\nAnswer: -0.2516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*x**3 + 0*x**3 - 2*x**3 + 0*x - 4*x as c*x**2 + k*x**3 + h + l*x and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**2 - 1. Let p be w(-1). Suppose -p*r + 1 + 89 = 0. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40164141 - -2\nAnswer: 40164143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.909 + -0.191. Let p = -8 - t. Let y(b) = -b + 7. Let r be y(4). Put -1\/6, r, p in decreasing order.\nAnswer: r, p, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2107 (base 11) to base 12\nAnswer: -1746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*b + 99 = 0, -2*b + 5*b = 3*q - 123. What is the remainder when q is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**2 - 140*k + 168. Determine r(-49).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**3 - 8*q**2 - 2. Let r be o(-4). Suppose -18 = -2*v + r. Solve 5*n - v + 5 = 3*b, 2*n - 18 = 2*b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 4*g**2 + 4*g + 5. Let q be x(5). Suppose j - h = 6, -4*j + q*j - h + 9 = 0. Solve 0 = -6*m + j*m + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 1, x: 2, y: 1, m: 1, o: 2}. What is prob of picking 2 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19129216 and 944?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -233*b**2 + 739*b wrt b.\nAnswer: -466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -5*m - 4*p, -4*m + 2*p = -2*m - 28. What is the greatest common divisor of m and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*l - 492 + 717 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 0.06, -0.02, 112.28, 5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2658225 is divided by 886060.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-828)\/120)\/(-1) + -7.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 1\/13*t**4 + 0*t - 11*t**2 - 12\/13*t**3 - 2 - 1\/390*t**5. What is d in u(d) = 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19.8 or -49154?\nAnswer: -49154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2912\/(-1404) - (-4)\/54. Sort 3, n, -3, 4 in decreasing order.\nAnswer: 4, 3, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/2 + 0)*-2. Sort x, 15, 4.\nAnswer: x, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 12, j: 6}. Give prob of sequence jwjw.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -803, -804, -805, -806, -807, -808?\nAnswer: -809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 90*p + 4. What is the hundreds digit of c(23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (1 - (9 + (8 - 21))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4)*-3*128\/16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16587, 1, -60 in increasing order.\nAnswer: -16587, -60, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 15, b: 4}. Give prob of picking 2 b and 1 d.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 + 0*c**2 + 1 - 4*c**2 + 3*c**2. Let l be j(-3). Solve 0*i + l = 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -636 + 635 + (4 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 8*q**2 + 10*q + 23. Let l be r(-7). Suppose 2*s + 3*m - 9 = 0, m + l*m + 33 = 5*s. Suppose 0*a + s*a = 306. What are the prime factors of a?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 12.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1897.52 to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3 - 407*g**2 - 3448*g + 53120 = 0. Calculate g.\nAnswer: -16, 8, 415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.1284461\nAnswer: -0.05137844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1, 6395, -1, 4, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 181.286\nAnswer: -18.1286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/q)**(7\/3)\/(q**(-5)*q*q*q*q**(-3\/4))*q**6*q**(-1\/2)*q*q\/(q*(q*q*q**(2\/9))\/q)*q*q*q**(2\/13)\/q assuming q is positive.\nAnswer: q**(2113\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 110236.8 litres in millilitres?\nAnswer: 110236800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 2\/9*3. Let k = -2878 - -2878. What is the closest to n in -1\/3, k, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 138*g - 449 + 4 + 31. Which is the nearest to 2? (a) -261 (b) g (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4935)\/245 - -19)\/(-9 + 1). Suppose 5\/7*z**2 + l*z**3 + 2\/7*z - 8\/7 = 0. What is z?\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 43, 40, 37, 34, 31?\n\"Answer: -3*p + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3213737567 to the nearest integer?\nAnswer: 1476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -443 + 402. Let s be ((-45)\/20)\/(9\/24)*b. What is the greatest common factor of s and 164?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 322721400.\nAnswer: 1\/107573800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**2\/7 + 415704*d\/7 + 415707\/7 = 0. What is d?\nAnswer: -1, 138569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 738.8 - 662. Let u = -77 + k. What is the smallest value in 0.9, u, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 67. Let z(c) = -23*c - 5. What is v(z(r))?\nAnswer: 23*r - 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*k + 89*k + 1243 = 0 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s**2 + 2*s**2 - 4*s**2.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -u - 2*d, 4*u + 20*d = 24*d + 116. Calculate the remainder when 1889 is divided by u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 21*n**2 - 13*n - 2281. Let x(j) = j**2. Determine a(x(q)).\nAnswer: 42*q**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*t + 78 = -120 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4*x - 2*x - 72, 2*y + x - 70 = 0. Calculate the least common multiple of y and (-22)\/11*2\/(-4).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 c when three letters picked without replacement from rrzuzuzzpzcz.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*n = 2, x - 5*x - 3*n = -28. Suppose -6*v + 5*z - 1918 = -x*v, 0 = -5*v + 2*z + 2414. What are the prime factors of v?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 483952 to the power of 1\/2, to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.93 - 0.07. Let u = -5 - -18. Let n = j + u. Sort 1, n, -5.\nAnswer: -5, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -493747\/72 - -6856. Find the common denominator of u and -103\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i + 74. Let r be k(-24). Solve r*l + 5*j + 22 = 0, 0 = l + 2*j + 3*j + 21 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - 0 - (-2988 - -2929).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2. Let p = 227 - 216. Let g(y) = -13*y + 26*y - p*y + 3. Determine g(r(z)).\nAnswer: 4*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express p + 4*p - 2*p + (2 + 2 - 3)*(-p + p + p) + (-1 + 1 - 2)*(4*p - 3*p + p)*(1 + 0 - 3) as m*p + k and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 29295.4158 seconds?\nAnswer: 0.0484381875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*t - 7452 - 6140 = 19362 - 5897 for t.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -7 (c) 4\/5 (d) -3\/56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, -4, -12\/13, 0.09?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j + 11*j - 4*j)*(8*j - 4*j + 11*j + (-2*j + 5*j - j)*(0 + 4 - 3) - j + j + 2*j).\nAnswer: -19*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/4)\/((-12)\/(-36)). Suppose -n*v = x - 119, 4*x - 325 - 100 = 5*v. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1199.\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.077 - 2.077. Which is bigger: b or -0.0728?\nAnswer: -0.0728","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gffgzfgzzgggzfg. What is prob of sequence zgz?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2029\/5 - 406. Suppose 0 = -2*d + 3*d - 4. Suppose 3 + 1 = d*f. Which is the nearest to 1\/4? (a) 0 (b) m (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*v + 22 = -154 - 256 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-2))\/q)**45)**(14\/3) assuming q is positive.\nAnswer: q**(-420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 380682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -36, -38, -42, -48, -56, -66, -78?\n\"Answer: -y**2 + y - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33138697763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 343835382 to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1008 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqiqqi. What is prob of picking 1 q and 1 i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1371 is divided by 247.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8366119 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1075 = -105*p - 4855 for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69\/8 - -743\/88. Let y = 1.038 + -0.838. Put 0, y, v, 0.1 in ascending order.\nAnswer: v, 0, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98 - -113. Let v be (-6)\/(-9) - 10\/j. Solve -2 = -2*b - v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -652 + 3911\/6. Which is the nearest to 3? (a) -2\/5 (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w. Let a(l) = -1448510*l. Give a(m(j)).\nAnswer: -1448510*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9884.172 kilograms to nanograms.\nAnswer: 9884172000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/11, 0.192, 3\/28, -68?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-5 - 12) + (0 - 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v = -17*v - 60. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/2 - 5226*l - 321129\/2.\nAnswer: -3*(l + 31)*(l + 3453)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2405 and 28550125?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 374 and 1360?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.5056 to 2 dps.\nAnswer: -3.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 4. Suppose -2*k = -o - 6, 2*o - 3*o - 11 = -m*k. Let t = o + 1. Let j(a) = -a - 1. What is j(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, 5, 0 in ascending order.\nAnswer: -7, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kae when three letters picked without replacement from {a: 1, k: 1, e: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*n**3 - 23*n**4 + 24*n**4 + 48*n**5 - 1286*n**2 + 88*n**5 + 107*n**5 wrt n?\nAnswer: 14580*n**2 + 24*n + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(30 - 7 - 9)*(-109*j - 9 + 2*j**2 + 109*j).\nAnswer: -28*j**2 + 126","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3775300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 1 - 5 + 0*r - 11*r + 11. Let x be t(-8). Which is greater: x or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5932*b - 2008. What is the tens digit of n(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n - 8. Suppose -25 = -3*d - 1. Let v(l) = -2*l - 3. Let a(i) = i**2 - 38*i + 322. Let w be a(25). Determine d*v(r) + w*h(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 2, -7\/32?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.6 - -1.52. Let p = -0.4 - h. Let o = -0.3027 - p. What is o rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246 = a - 6*i, 23*a - 5*i = 3*a - 3*i - 82 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*a**4 - 3*a**3 + 2*a**2 + a - 625.\nAnswer: -324*a**2 - 18*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-988)\/(-304)*2)\/(-13)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-117)\/78)\/((-6)\/(-32))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**3 - 1649 - 830 + 2479.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2.1. Let h be 2\/(-2) - 2*(-3)\/6. Which is the nearest to -0.1? (a) 1\/6 (b) h (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14645430 (base 9) to base 2\nAnswer: 11011110100100101010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/28 and (-8)\/12*(-73)\/(-8)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2994 + 83*p - 5989 + 2989)*(-3 - 4 + 2).\nAnswer: -415*p + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k**3\/10 - 17*k**2\/5 - 109*k\/10 - 37\/5 = 0. Calculate k.\nAnswer: -2, -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**4 - 2*t**4 + 0*t**4 + (3*t + t**3 - 3*t)*(0 + 0 - 6*t))*(-407 + 552 + 490).\nAnswer: -4445*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*q - 3*d - 9, -q + 5*d - 12 = 0. Suppose 3*j = 4*z + 13, -3*z - 15 = -5*j + q. Solve o - j*n = -13, 5*o + 0*n + 17 = -n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jplp when four letters picked without replacement from ppjppjjpppppjlpjppj.\nAnswer: 11\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*d = -2*a + 69*d + 74, 38 = a - 3*d. Calculate the remainder when 46 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*j - 21. Let z(f) = 6*f + 0*f**2 + f**2 + 8 - f**2 - f**2. What is z(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/729 + (-7)\/189*-118?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - 2*m**2 - m**2 - 2*m**2 + m**2 + 3*m**2 + (-3*m**2 - 2*m**2 + 4*m**2)*(-1 + 5 + 0).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/55, 0.06, -82\/43?\nAnswer: -82\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from bipibpopoifbbbfb?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, 14, -3, 42, 0, -2.\nAnswer: -71, -3, -2, 0, 14, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*-3*-2*(sqrt(891) + sqrt(891)*1 + sqrt(891) + -4 - (3 + 0 + sqrt(891) - sqrt(891))))**2.\nAnswer: -217728*sqrt(11) + 4647168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4 - 4109*x - 4616*x - 475*x.\nAnswer: -9200*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -12 (c) -0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from {m: 1, q: 2, e: 11}.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3262 - -3263. Which is the closest to -1? (a) 0.1 (b) y (c) -0.5 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -9*j**3 - 12*j**2 + 77*j - 70. What is d(5)?\nAnswer: -1110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-5))\/(-14 - 0).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4153648.\nAnswer: 2, 259603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 27. Let m = s - 11. Suppose -1043 = -27*j + 226. Calculate the remainder when j is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {d: 4, q: 3, i: 1, m: 4, w: 4, a: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**6\/80 + t**5\/12 - 23*t**4\/48 + 5*t**3\/6 + 5*t**2 + 14. Suppose g(q) = 0. Calculate q.\nAnswer: -5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 8:28 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 143\/118 (b) -5.67 (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(3 - 316\/108) - 14\/28?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14222 - -0.04\nAnswer: -14221.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 9*v + 1. Let o(c) = -c. Suppose -2*g + 7 = -5*h, 0*g + 4*g = 3*h + 7. Give h*a(w) - 6*o(w).\nAnswer: -3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109423, 109429, 109437, 109447, 109459?\nAnswer: 109473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*2\/(-10))\/1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + r**4 - 2*r + (4*r - r - 5*r)*(5*r**3 - 3*r**3 + 5*r**3).\nAnswer: -13*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n - 16. Let p be h(-8). Suppose -5*i + p*i = 3*v - 20, -4*i - 65 = -3*v. Calculate the common denominator of (-1)\/(-2)*(-220)\/v and 38\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 6:28 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -595*m + 1180*m - 588*m. Let o(u) = 4*u**2. Give h(o(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 239559 and 302351.\nAnswer: 1541083047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 84*j = -81*j - 56408, -2*j = -2*b + 28190. List the prime factors of b.\nAnswer: 23, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35\/105*1*3*14\/(-4)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - (5*(sqrt(133) + 2*sqrt(133)) + sqrt(133)))*-2)\/((sqrt(7) + -4*sqrt(63))*6).\nAnswer: -5*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**3 + 17*k**2 + 5*k + 70. Give i(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**4 - c**2 + 4044*c*p + 25*p - 132 wrt c?\nAnswer: -4*c**3 - 2*c + 4044*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**2 - 68 - 4*k - 11*k**2 - 8*k**2 + 35*k**2 - 11*k**2 to the form h*k + w + i*k**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1268581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 60 = 2*t, -3*h + 61 + 89 = 5*t. Let w(a) = -a**2 + 15*a + 119. Let u be w(28). Let c = 265 + u. Calculate the highest common factor of c and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/250614 and 155\/32706?\nAnswer: 455365638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -166*p*t*y + 8751*p*t + 35*p*y - p - 2*t*y + 906*y + 2 wrt t.\nAnswer: -166*p*y + 8751*p - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*o + 293*o = -9*z - 11*z - 145, 2*o - 22 = 4*o + 2*z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a = 17*a + 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 58583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 425331?\nAnswer: -425331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40*2023\/1190 - -34.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, -159, 5024, -2 in decreasing order.\nAnswer: 5024, 4, -2, -7, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -5*o + 2 - 12, 31 = 3*o - 5*x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**3 - v**2 + 5*v - 1. Let t(a) = 3*a**3 + a**2 - 4*a + 1. Let s(x) = 4*c(x) + 5*t(x). Let r(w) = 6*w**3 - 3*w**2 - 3. Determine r(b) + 3*s(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 5 = 2*s. Solve 8 = 5*g - s, -2*x - 3*g + 10 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5238 - -5262. Calculate the lowest common multiple of 1008 and t.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 30*l. Let f(z) = 5600*z - 1. What is q(f(i))?\nAnswer: 31360000*i**2 + 156800*i - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 29. Which is greater: 2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 9:29 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*q + 3*f - 170, -3*q - 2*f = -101. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 13 - 527*z**2.\nAnswer: -527*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 718.5391 millilitres to litres.\nAnswer: 0.7185391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 8*o**2 - 7*o + 5. Let h be w(7). Suppose -h*m + 70 = 5. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5 + 1 + 0 + 7*d. Let m be a(3). Let i = -14 + m. Calculate the remainder when i is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**4 - 837*y**3 + 3288*y**2 + 3348*y - 13200 = 0. What is y?\nAnswer: -2, 2, 4, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -209.51 + 189. Let u = 20.50998797 + b. Round u to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184914, 184901, 184888, 184875?\nAnswer: 184862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 - -4.4. Let x = -0.1 + -0.2. Sort -0.4, x, y.\nAnswer: -0.4, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + sqrt(1300) + -1.\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1594*p**2 + p - 38196 wrt p?\nAnswer: -3188*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2519\/1429 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-2)*(-184)\/(-138)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 48032*d - 96048.\nAnswer: -4*(d - 12006)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 815981.\nAnswer: 1\/815981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -4. Let v(t) = 0*t - m*t - 5 + t + 2*t**2. What is the units digit of v(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.13495814 to 1 decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 + -1)\/(5 + -3). Let m be (-2 - -3) + (-1222)\/7. Let y = m - -174. What is the second biggest value in y, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272)*-1 + -3.\nAnswer: -4*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 61*y - 108. Give f(61).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312944901.\nAnswer: 3, 4363, 23909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.976 - -1.776. What is the closest to -197 in -3, -2, 3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5604 and 92466?\nAnswer: 184932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -5, 33\/26, 1\/8, 0.02?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-11 + 7 + 7 + -13 + 45)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1390 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 20 = 4*t, 0 = 2*s - 22*t + 949 - 963 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2450 - 5?\nAnswer: 2444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (((-29664)\/30)\/(-12))\/((-2)\/(-285))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -111*(55\/(-15) - -3). Suppose -4*u - 2*l + 296 = l, u = -2*l + q. List the prime factors of u.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 47.2 and -3848.\nAnswer: -3800.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/25*-2*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -117 + 200. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 23*u - 66. Let w(i) be the second derivative of -1029\/8*i**2 + 0 - 3\/80*i**u - 147\/8*i**3 - 25*i - 21\/16*i**4. What is k in w(k) = 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36957067559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -30 (b) -0.156 (c) -4 (d) -0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -64578.283 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**3 - x**2 - 2*x + 2. Let c(w) = -4*w - 50. Let o be c(-12). Determine u(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**6\/1080 + s**5\/90 - s**4\/18 + s**3\/2 + 7*s**2. Let u(q) be the first derivative of k(q). Let u(z) = 0. Calculate z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3059.1 > 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.76492*0.5\nAnswer: -0.38246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t - 3. Let h = 77 + -77. Determine w(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 914, 3659, 8232, 14633?\nAnswer: 22862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 21, -25, 15, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.6304 and -1066.\nAnswer: -1065.3696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 13*h - 450. Determine f(35).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -171293674, -171293670, -171293656, -171293626, -171293574, -171293494, -171293380?\n\"Answer: t**3 - t**2 - 171293674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -247, -508, -785, -1084, -1411?\n\"Answer: -u**3 - 2*u**2 - 248*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 - 44.30797.\nAnswer: -33.30797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**3 + 2*c**2 - 3. Suppose -51*k = 449 - 92. Let s(o) = -o**3 + o**2 - 1. Give k*s(u) + 2*b(u).\nAnswer: -u**3 - 3*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10, 41, 92, 163, 254, 365, 496?\n\"Answer: 10*s**2 + s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -155 - -435a83?\nAnswer: 43592a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4335*g - 4802*g - 6996*g to the form w + z*g and give z.\nAnswer: -16133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -4. Let j be (4 + -3)*30\/(-25)*5. Let g be ((-25)\/125)\/(j\/(-20)). Sort -5, b, g, 3\/4.\nAnswer: -5, b, g, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-32)*2)\/((-6)\/(-18)))\/(7866\/304).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h**2 + 147*h + 415. Let i be v(32). Which is the closest to 2\/9? (a) 3\/13 (b) -5 (c) i (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2112 = -4*a - 2028. Let i = 45 - 42. What is the highest common factor of i and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-160)\/(-25) + (-4)\/10. Let r(a) = -6*a + 18 + s*a - a. Is r(0) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)\/l**(-1\/3))\/(l**(2\/9)\/(l**(-1)*l)) assuming l is positive.\nAnswer: l**(-26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4299777498 take away 146?\nAnswer: -146.4299777498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-823922)\/(-102))\/((-3)\/(-18)*2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 + 2*x + 6. Let s(z) = 7*z**2 - 5*z - 30. Determine -5*f(o) - s(o).\nAnswer: 3*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 181 - (-115570)\/(-637) - (2 + 1)\/(-1).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -132 + 141.1. Round w to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/3 (b) 1 (c) -0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000202 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 44*v**2 + 430*v - 234. Give s(-33).\nAnswer: -2445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 - -1.7. Let u = l - 3.6. Let q = -0.1 - 0.4. What is the biggest value in q, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 6*g + 18. What is y(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -497596 - 57183 = 124*x + 114077. Sort -5, -4, x in descending order.\nAnswer: -4, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2734301 is divided by 10127.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30910830 divided by 10303610.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -25044\nAnswer: 1\/25044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x + 8. Let c(g) = -4*g + 9. Suppose 10 = 2*v, 5*o - 2*o + v + 10 = 0. Calculate o*c(y) + 6*u(y).\nAnswer: 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01396651703 rounded to five dps?\nAnswer: -0.01397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 10*x + 11. Let v be t(-11). Let f = v + 111. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 5) + 0 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*g**4 + 50*g**2 - 740*g wrt g.\nAnswer: 144*g**2 + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22321 - -4?\nAnswer: 22330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -666 by -4.\nAnswer: 333\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.12.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -16*r + 657945*r**3 - 657946*r**3 + 3*r**2 - 9 + 7*r**2. Calculate y(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6.202753 millimeters?\nAnswer: 0.006202753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 1. Let s(d) = -3*d**2 - 9*d - 5. Let h(l) = -l**2 - l - 3. Let w(y) = -14*h(y) + 7*s(y). Determine 5*k(j) + w(j).\nAnswer: -2*j**2 - 49*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**9\/168 + f**7\/30 - 71*f**5\/30 + f**2 - 66*f. What is the third derivative of z(w) wrt w?\nAnswer: -360*w**3 + 168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13342c9 - 5c?\nAnswer: -1334358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s - 6. Let w be f(-5). Let j = 44 - 43.61. Let d = -0.59 + j. What is the nearest to w in -0.3, 3\/2, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svss when four letters picked without replacement from ssfypppssysgyppysyvy.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0\/h**7)**(-7\/5))**28 assuming h is positive.\nAnswer: h**(1372\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18081*b**3*f**3*p**3 + 4*b**3*p - 30*b**2*f**2*p - 2*f**2*p + 9*f*p**3 wrt f.\nAnswer: 108486*b**3*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-seven fifths of a gram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95220 is divided by 23805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 147 - 147. Solve 3*a + 16 = -2*r + a, -5*r + 5*a = b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3902, -3477, -2768, -1775, -498?\n\"Answer: 142*k**2 - k - 4043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*4*8\/128. Factor 0*w - 1\/4 + 0*w**3 - i*w**4 + 1\/2*w**2.\nAnswer: -(w - 1)**2*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7094286 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 highest common divisor of 2 and 9771538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.25? (a) 0.1 (b) -0.086 (c) -1\/166\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 17. Which is smaller: -1\/4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 - -395. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, -5, 3, 2, -4 in ascending order.\nAnswer: -50, -5, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 303 or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c + 60. Let t = 118 - 131. Let p be y(t). Calculate the greatest common divisor of p and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**4\/12 + j**3\/3 + j**2 + 9*j. Let f be t(-4). Suppose -21*p + 16*p + f = 0. Solve 0 = 5*u + a + 3 + 10, p = a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r - 26*r = -159840000. What is r rounded to the nearest 1000000?\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 20543, 3, 0, 1 in decreasing order.\nAnswer: 20543, 3, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) -5 (c) -3 (d) 0.045\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l + 20*l - 2*p - 21 = 0, 0 = -7*l - 2*p - 87 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -2. Suppose -6*v + 8*v = 4*m + 1095996, 0 = f*m - 2. Round v to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/10)\/((-6)\/120). Suppose -y*b = -50 - 122. Suppose -g + 36 = 3*d - 11, -3*d - 4*g = -53. What is the remainder when b is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 639*s**4\/8 - 703*s**3\/2 + 1910*s**2. Differentiate k(v) with respect to v.\nAnswer: 1917","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -965 - -1063.3. What is n rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -39.19\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*p - 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19.417 or -0.071?\nAnswer: -19.417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 4. Let n be a(5). Let d = 1458 - 1455. What is the nearest to -2\/5 in d, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from iidqqqiidm?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/66 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 11 = 1. Let w = 870 + -867. Suppose 5*u - w*n = 104, 0 = 3*u - 2*n + n - 64. Calculate the highest common divisor of b and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 5, n: 2, d: 1}. What is prob of picking 1 y and 1 d?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5*y - 508, -540 = -4*n - 9*y + 6*y. What is the lowest common multiple of n and 108?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by (1*(3 + -4))\/((-1)\/35).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 11001110110?\nAnswer: 11001111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10067001079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8239 = z - 4*k, z + 16478 = 3*z - 3*k. Suppose 3*m + 4*q = z, -q + 4*q = -3*m + 8235. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xao when three letters picked without replacement from {a: 3, o: 1, x: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 g when two letters picked without replacement from gggvgbbbvgvgg.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 24, 58, 112, 192, 304?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a century in months?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2)*(-60)\/6. Suppose -4*f - 3*d = -8*d - 1423, -2*f + w*d + 719 = 0. Suppose 0 = 12*a - a - f. Calculate the remainder when 124 is divided by a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 44\/(-7) - (-18)\/63. Is (k*1801\/(-2))\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1126972*y**2 - 578822.\nAnswer: -2253944*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2\/(-6) + (-86)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1 + 34*p**6 - 49*p**6 + 4*p**2 + 1 wrt p?\nAnswer: -1800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -271*h - 35. Let a be g(-3). Suppose -p - 160 = -a. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 202\/1055 - 1863\/4220. Let i be (-2)\/(-24)*8\/63. Which is bigger: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 128*n**3 + 37*n**2 + 3*n + 3. Let a(i) = 128*i**3 + 38*i**2 + 4*i + 4. Let x(t) = -3*a(t) + 4*u(t). What is the third derivative of x(r) wrt r?\nAnswer: 768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-88)\/(-77))\/((-4)\/(-14)). Let l = -65.9 - -66. Which is the closest to -1? (a) l (b) -17 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-110)*(0 - 3))\/(2\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -89336131 to the nearest 100000.\nAnswer: -89300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -3*a**4\/2 - 4*a**3\/3 + a**2 + 5*a - 2226. Let c(d) = -7*d**3 - 5*d**2 + 2*d + 6. Calculate -4*c(t) + 5*q(t).\nAnswer: -2*t**3 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -1163 + 1252 - 10*g + 14*g**2 + 31*g**2. Is o(18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b - 254 + 3674 = 0. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 * 0.04.\nAnswer: -1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-16)\/(p*p\/(((p\/(p**(-18)*p*p))\/p)\/p))*p**(2\/17)\/((p\/(p*p**(-20\/3))*p)\/p*p) assuming p is positive.\nAnswer: p**(-538\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/57? (a) -3 (b) 59 (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.731206386 - -4364.\nAnswer: 4376.731206386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1 (b) -205 (c) 4\/9 (d) -0.145\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)\/(sqrt(5)*-1))\/sqrt(10).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 - 354*c**2 - 16830*c - 101150.\nAnswer: -2*(c + 7)*(c + 85)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - x = -28, 0 = -4*z + 40*x - 35*x + 148. Calculate the lowest common multiple of z and (2\/6)\/((-17)\/(-3876)).\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (9 + (5 - 11)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1614 and 184793047?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - w + 495, 0 = -26*x + 25*x + w + 120. Solve -118 = -q - x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163, 259, 415, 661, 1027, 1543?\nAnswer: 2239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 2*f - 4. Let c be t(6). Suppose 0 = -4*k - c, 5*z - 4*k - 30 = -0*z. Suppose -z*b + 92 = 20. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 8:34 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -80 divided by -1\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 455\/2413213 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/5 + 6\/15. Let s be f\/4 + 63\/28. Which is the biggest value? (a) s (b) -1\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20965529 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 185021 to the power of 1\/2, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -2*g + 1\/6*g**3 - 3\/2*g**2 + 1\/12*g**4 + 0. What is the lowest common multiple of 6 and i(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -15*s**2 - 2*s + 24. Let x(n) = -7*n**2 - n + 11. Determine -3*g(j) + 7*x(j).\nAnswer: -4*j**2 - j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21, 95, 217, 387?\n\"Answer: 24*u**2 + 2*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 6:15 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*c = -21*c + 2*c + 78400. Is 35 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 + 65. Which is smaller: m or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - -2 - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 937 is divided by 210?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 58663 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-84) - (-31)\/(-6). Sort -3, v, 3.\nAnswer: v, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 - (13 - 10)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmt when three letters picked without replacement from {q: 2, m: 1, t: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.6 (b) -0.2 (c) 5 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.121 + -0.021. Which is the closest to -0.1? (a) p (b) -2\/15 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 61*y + 6. Let s be j(6). Suppose -s = -5*b + 2*b. Suppose 0 = 5*o - 2*r - 123, 0*o - b = -5*o + r. What is the remainder when 73 is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1484966?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1\/41, 3, 1\/2, 11, 3\/392?\nAnswer: 3\/392","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.087 - -3.487. Which is the smallest value? (a) m (b) 1 (c) -80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1635 + 3062640?\nAnswer: 3064605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 379164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((18\/2352)\/((-54)\/216)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 60785 and 0.\nAnswer: 60785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14748 and 22036?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/20 in -0.012827, 4, 2?\nAnswer: -0.012827","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 912b?\nAnswer: 9129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgxtktagaaggay. Give prob of sequence at.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, v: 8, j: 2, f: 6}. What is prob of sequence kkkj?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.171 + -5.171. Let w = 0.2 - 0.1. Which is the nearest to w? (a) 2 (b) y (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b - 1. Let s = 0 - -1. Let y = -132 + 132. Suppose o + s = -y. What is g(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -687815*g**2 + 579593 wrt g.\nAnswer: -1375630*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 40275 = 5*w - 2*k, -32232 = -4*w - 4*k. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 10:05 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 - 7*p + 11. Let h be y(-6). Let k = -17 - h. Factor 4\/3*x + 2\/9 + k*x**2.\nAnswer: 2*(3*x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4645 plus 2?\nAnswer: -4643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39848)\/(-8204)*70\/4.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 611\/28 + -5779\/252. Which is the fourth smallest value? (a) -3\/4 (b) -11 (c) 6 (d) -1 (e) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 3 + 11. Solve -7 = u*r - 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2841162884 to the nearest integer?\nAnswer: 53303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 383828392 to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222102022 + -1?\nAnswer: 222102021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 11*z**2 + 7*z - 9. Let a(b) = 4*b**2 + 155*b - 29. Suppose 23*h + 5*p - 24 = 24*h, 2*h - 5*p = -63. Let o be a(h). Calculate r(o).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/1278979 or 1?\nAnswer: -11\/1278979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 1:36 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -0.5, 3\/14, 5\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3033 + -2030201?\nAnswer: -2033234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1314624 (base 7) in base 11?\nAnswer: 108385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02512 - 96862.\nAnswer: -96862.02512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-6\/13))**(-25))**(-2\/45) assuming x is positive.\nAnswer: x**(-20\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1257769467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 8*r - 16. Suppose -3*z + 13 = -a + 1, -9 = -3*z + r*a. Suppose -x + 20 = -5*c, 5*x + z*c - 2*c = -12. Solve x = -2*t + 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-636)\/(-10) - (-4)\/10. Let v = b + -45. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1621*y - 1621*y + 14*z = -56, 3*y - 4*z - 7 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**4\/12 - 2*l**3\/3 + l. Let t be o(-3). Suppose f + 30 = t*f - 4*i, 3*f - 49 = 4*i. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 9*w**2 - 3*w + 4. Is k(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/6)\/(1*-1). Let n be ((-62 + -2)\/(-2))\/b. Calculate the greatest common divisor of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 - 4*t**4 + 6*t**4 + (-3*t + 3*t - t)*(-18*t**3 + 12*t**3 - 18*t**3) + (2*t - t - 2*t)*(-3 + 3 + 2*t**2)*(2*t + 3*t - 6*t).\nAnswer: 30*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7828949, -15657897, -23486845, -31315793?\nAnswer: -39144741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*s = 79*s - 76. Solve 0*y = -2*y + s*p - 26, -y = -p + 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 6*p = -2*f - 88, -2*p = 3*f - 63. Calculate the remainder when 153 is divided by p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5728997986?\nAnswer: 2, 39293, 72901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288*r = -276*r. Which is the third biggest value? (a) -3\/4 (b) 14 (c) r (d) 0.1 (e) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, k: 5, i: 6, q: 1, e: 2, w: 2}. Give prob of picking 1 z, 2 i, and 1 w.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/21)*n*n*n\/(n*(n**13\/n*n)\/n))\/((n*n*n*n**(2\/15))\/(n\/n**(1\/9))) assuming n is positive.\nAnswer: n**(-3887\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**4\/9 - 5224*l**3\/9.\nAnswer: -4*l**3*(l + 1306)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1600*g**3*j**3 + 12*g**2*j**2 - 2*g*j**3 + 5*j wrt g?\nAnswer: -9600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 3*o**2 + 2*o - 1. Let h = 13 - 6. Let y be 2*12\/(-8) + 0 + 5. Suppose -y*g = -h*g + 10. Calculate i(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1050 and 250?\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 2*h - 4, 5*o + 133 = -5*h + 113 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -338 - -343. Let c = 71 + -352\/5. What is the nearest to 1 in d, -0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/((sqrt(88)*-5 - sqrt(88))\/sqrt(8) + sqrt(11)).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7900 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1095 and 15?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/1*(-125)\/(-10). Let t(i) = i**3 - 8*i**2 + 6*i + 3. Let k be t(5). Let r = k - y. What is the remainder when r is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-323)\/(-19) - (-704)\/50.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-2 - -1) - -2. Let o(x) = 4*x - 8. Let w(p) = -5*p + 7. Let s(h) = -2*o(h) - 3*w(h). Is s(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 34727, 139630, 314467, 559232, 873919, 1258522, 1713035?\n\"Answer: -l**3 + 34973*l**2 - 9*l - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, f: 2, r: 1, n: 2, u: 3, j: 6}. What is prob of sequence un?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 3502*h**3\/3 + 281*h**2 + 3880. What is the second derivative of c(k) wrt k?\nAnswer: 7004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -528*h**2*k**4 - 53*h**2*k**2 + 32*h**2 - 2*h - k**4 + 4869*k**3 + k**2 - 132*k - 2 wrt k?\nAnswer: -12672*h**2*k - 24*k + 29214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30454 (base 6) in base 12?\nAnswer: 242a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 5824.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-12 - (-2 - 6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence du when two letters picked without replacement from {u: 2, a: 1, d: 1, p: 1, r: 1, l: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 4. Let r be (s + 2)*-4 + 1. Suppose 0 = -r*i + 9*i - 12. Solve 5*o + 8 = i*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -11*((-84)\/(-82) + -1). Let f = z + 1471\/287. Let p = f + -47\/14. What is the nearest to 2\/5 in p, -2\/13, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1776 = 3*l - 5*y - 10551, 3*y + 5848 = 2*l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -19. Suppose k*j - 6 = -j. Let m be (-1 - -1)*1*j\/4. Put -8, -4, m in descending order.\nAnswer: m, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 12. Let f be l(14). What is the second derivative of 7*z**3 - 6*z + f*z**3 - 2*z - z wrt z?\nAnswer: 54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 1) + (-3)\/((-6)\/(-4)). Sort 12, 25, y.\nAnswer: y, 12, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 101\/3. Let z = 3\/20 + -2\/5. Which is the smallest value? (a) z (b) m (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 62*g**6\/15 + g**5\/20 + 21*g**3\/2 + 895*g**2. What is the third derivative of f(o) wrt o?\nAnswer: 2976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.867464m?\nAnswer: 2867.464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*p - 3. Let b be (2\/24)\/(p\/9). Let j = 2.16 + -2.19. What is the biggest value in b, 1\/2, j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 - y - 1. Let p be i(-1). Suppose -m = 4*q + 105, -p*q - 3*q + 5*m = 100. What is the remainder when 28 is divided by (-8)\/(-10)*q\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -593*-0.4\nAnswer: 237.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1532031 and 126066.\nAnswer: 1658097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2841 a factor of 2988158118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.2 + 4.08. Let s = 26.12 - 26. Let r = o + s. Is -2 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (-6)\/4*8\/9. Let p = -3.4 + -0.6. Which is the smallest value? (a) 3 (b) i (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9373, 76694, 259409, 615214, 1201805?\n\"Answer: 9616*x**3 + x**2 + 6*x - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13940 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -574*j - 990*j - 323*j to the form p*j + f and give p.\nAnswer: -1887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-11)\/(-77)*2 - (-379670)\/35?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 855 and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/4 - 1734\/136. Let m(j) = -j**2 - 41*j - 20. Does 8 divide m(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16635496?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2128 and 152?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -6.2263 (b) -8 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26097955.\nAnswer: 5, 13, 401507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/29, -1, 0.1, -3 in descending order.\nAnswer: 0.1, -6\/29, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 33*y**7\/14 - y**4\/24 - 527*y**3\/6 + 516*y**2. Find the second derivative of h(w) wrt w.\nAnswer: 5940*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*y + 20584, 3*y = l + 21402 - 814. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 12:04 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.07, 2, 2\/287, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1)\/t**(-3\/2))\/(t*t**(1\/14)*t**(1\/2)))\/((t**(-2\/7))**(-11))**(2\/65) assuming t is positive.\nAnswer: t**(-1063\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/15 smaller than 46154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4088*t + 966*t - 1 - 729*t + (2 - t - 2)*(0 - 2 + 4) in the form v + h*t and give h.\nAnswer: -3853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2275239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35.38 + -35. Let z = -0.02 - d. Let s = 1731\/13 + -133. Which is the second smallest value? (a) -0.1 (b) z (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/166 and -121\/120.\nAnswer: 9960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*t + 84, 13*q = 5*t + 9*q - 98. Calculate the lowest common multiple of t and 99.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**3 + 18*d**2 + 15. Let j(s) = s**2 - 17*s + 7. Let n be j(16). Let i be w(n). Solve 0 = -2*z + 2*h - 6, -z - 4*h + i - 3 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43437419 to the power of 1\/4, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -31 - (-29 - -42).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78 + -76. Let y = -38134 - -2402593\/63. Let g = y + -19\/9. Which is the second smallest value? (a) o (b) g (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6396960, 12793918, 19190876?\n\"Answer: 6396958*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5*n\/(n*n*n\/(n\/(((n*n*n**(3\/2))\/n)\/n)))*n)**(4\/11)*((n\/n**(-5))\/(n*n**7))**34 assuming n is positive.\nAnswer: n**(-734\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a**2. Let c(p) = -p + 8. Let j be c(4). Let s(w) = 7*w**2. Let y(h) = j*s(h) - 5*d(h). Let m(q) = -3*q. What is m(y(t))?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*z + 4 + 5)*(-4*z**4 + z**4 + z**4).\nAnswer: -4*z**5 - 14*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -2, -4, -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190, 107, -128, -593, -1366, -2525, -4148, -6313?\nAnswer: -9098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41189 - 37843. What are the prime factors of 6\/57 + w\/(-76)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 155981 and 5292?\nAnswer: 117921636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9 - -117.043?\nAnswer: 120.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -135 + 135. Suppose -15*l + 201 + 444 = j. Calculate the remainder when l is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15968481 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 4:11 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -240261\/4 or -60065?\nAnswer: -240261\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 89*i - 11 = 85*i, 5*w = -i + 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -21. Let x be 3*(1408\/(-4620) - -5*(-12)\/(-150)). Sort 5, x, z in decreasing order.\nAnswer: z, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*b + 3*f, -2764*f + 2767*f = 21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 2*d + 3*a - 54, 2*d - 3*a - 18 = 0. Calculate the highest common divisor of d and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + -17 - (16 - 6) - 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + 31 + 80 + -167.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001 - 1111?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 4*c - 4*c)*(-3 - c**2 + 3) - 9 + 9 - 6*c**3 + 4*c + c**3 - 4*c.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 1 - 4)*(-549*n + 325*n + 322*n) to the form d*n + s and give d.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -225ec + a?\nAnswer: -225e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 8. Which is the nearest to q? (a) 2\/7 (b) -1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 1554?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -23. Let z = 29\/3 + o. Which is the nearest to 0? (a) -5 (b) 0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2724332654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.854 + 0.054. Let d = -12 - f. Let b = d + -0.2. What is the closest to -3\/5 in -0.1, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*(5 + 1 + sqrt(1584) + (sqrt(1584) - sqrt(1584)*3)))**2 + -1.\nAnswer: -14400*sqrt(11) + 161999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1043 - -1578. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*30.2\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 5*c - 22 = 0, -5*a + 8*c - 10 = 9*c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/7)\/((-1)\/(-7)). Let u(k) = 1 - 4*k**3 - h*k**2 - 620*k + 3*k**3 + 625*k. Calculate the remainder when 43 is divided by u(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*y + 21, 10 + 2 = 5*y + j. Let g = 14962\/3003 + -20\/273. Find the common denominator of g and -2 + (159\/(-10))\/y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32401 by 4.\nAnswer: 32401\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 8:16 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (6 - 4))*(-2)\/4. Suppose 3*t - 5*z + 2 - 11 = m, t = -3*z + 3. Find q such that 9\/4*q**2 - 1\/2*q**t + 1 - 3*q = 0.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7155*l**2. Let t(w) = -2*w**2. What is t(p(n))?\nAnswer: -102388050*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + k = 36, 5*j - k - k - 45 = 0. Let y(q) = -j*q - 6*q + 6 - q**2 - 34 - 2. Let m be y(-12). What is the greatest common divisor of 42 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8dac3 + 5?\nAnswer: -8dabc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 9:38 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p - p - 8016. Let n = p + -540. List the prime factors of n.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -15)\/(-48)*(-14 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -441.3371101186 less than -223?\nAnswer: 218.3371101186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - j + 1 = 11, 8 = 4*c - 2*j. Suppose c*l - 4*l - u = -86, -2*l - 2*u = -82. Suppose 12*b + l = 13*b. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/5*(-5)\/(-2). Let t be (18\/(-4))\/((-12)\/16). Suppose b = 2*f + t*b - 10, -p*b + 5 = f. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 27. Put -0.038, -1\/2, o in decreasing order.\nAnswer: o, -0.038, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 842*q = 840*q + 16 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.85 + 0.15. Let k(y) = y**2 - 5*y - 8. Let x = 14 - 8. Let z be k(x). Which is the closest to p? (a) -3\/2 (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**3 - 496*w - 1 + 11*w**2 + 491*w + 40*w**4 - 55*w**4 to q*w**4 + c*w + x*w**2 + i*w**3 + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 10:32 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000073296 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/14 and -13\/411.\nAnswer: 5754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103592 and 2806?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 4\/2)\/2. Suppose -z + 2*z = p. Let h(f) = f + 0*f**2 + z*f**2 - 2 + f**3. Give h(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41451 by 2.\nAnswer: 41451\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (35\/(-21))\/(1\/(-3)). Let h(t) = -t**2 - 10*t - 12. Let u be h(-8). Is u less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67301188 divided by 4.\nAnswer: 16825297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 3, -2647, 599 in ascending order.\nAnswer: -2647, 3, 16, 599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 2) to base 14\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 + 5.94. Let h = 6.2 - t. Let v(q) = -5*q - 1. Let f be v(-1). Which is the nearest to h? (a) 0 (b) f (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.653519438 rounded to three decimal places?\nAnswer: 2.654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1994, 2002, 2014, 2030, 2050, 2074, 2102?\nAnswer: 2134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 3*k**2 + k**2)*(-32*k**3 - 40*k**3 + 74*k**3 + k + 2*k**2).\nAnswer: 2*k**5 + 2*k**4 + k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.03873*-17\nAnswer: -0.65841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*f**2 + f*q**2 + 3709*f*q - 57022*q**2 wrt f?\nAnswer: 6*f + q**2 + 3709*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 146940?\nAnswer: 146940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 281064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -2*a + 6, -275*o + 272*o + 2*a = -10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/((-110)\/6))\/(1\/(2\/6)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.119 + 0.119. Which is the closest to h? (a) -0.3 (b) 5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 63*r**2 + 729*r - 49608. Give p(64).\nAnswer: 1144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**5\/60 - h**4\/4 - h**3\/3 + 8*h**2. Suppose -7*u - 5*x + 11 = -3*u, -5*x - 13 = -2*u. Let g = u - -1. Give i(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.5 - -3.3. Let j be (8\/(-42))\/(10\/(-15)). What is the nearest to -2 in j, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 41*r - 736. Let m be v(18). Solve 12 = m*j + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*u + 28 = 0, -5*f - 7 + 27 = -2*u. What is the tens digit of (f + -1 - 4) + 61?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(255)\/sqrt(20))\/sqrt(3))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -257155 (c) -667\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 14*l**2 + 15*l + 3. Suppose 0*f - 68 = 4*f - 2*p, f + p = -11. Let w be j(f). Solve 3*t - 11 = -0*z + 2*z, w*z = -2*t + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 1. Solve 0 = -2*k - j*k + 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 3:22 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 10) to base 12\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -240*u**5 + 1631*u**3 - 4389784*u**2 wrt u.\nAnswer: -14400*u**2 + 9786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, j: 4, r: 2, s: 6, x: 3}. Give prob of sequence xxss.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 7957 - 2708. Suppose o = 5*m + 1202, 3*o + m - a = -m. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 924 + -923. Let v(o) = 2*o - 1. Let z be v(-2). Let n = -33 - -100\/3. What is the fourth smallest value in -0.5, j, n, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 33 (c) 0.09 (d) -0.185 (e) -3 (f) 0.2 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208, -251, -358, -559, -884, -1363, -2026?\nAnswer: -2903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11310421826 + 10*b + 11310421826.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 83 + 154 - 320 + 164 - v.\nAnswer: -2*v + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - a**2 + a - 3. Suppose -6*s + 2*z + 2 = -3*s, 4 = 3*s - z. Let m be x(s). Solve 14\/9*b**m - 4\/9*b + 0 + 10\/9*b**2 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.68 + -0.747. Round y to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(26) - (sqrt(104) - sqrt(26)))*5)\/(sqrt(20)\/(sqrt(100)\/sqrt(10)) - sqrt(2) - sqrt(2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14\/149 + -10235\/2682. Let v = -25997\/4994 + 57\/227. Calculate the common denominator of o and v.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 868.0088 decades in centuries?\nAnswer: 86.80088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114288 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(104)\/(sqrt(512) + 2*sqrt(512)).\nAnswer: sqrt(13)\/24 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnsnssssssn?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*m, 4*m = -58*c + 61*c + 23. Let i(b) = 0*b**2 - 3*b**2 + 0*b**3 + 2 - 3*b**3. Let u(w) = -2*w**3 - 2*w**2 + 2. What is c*i(p) - 4*u(p)?\nAnswer: -p**3 - p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -90, -189, -298, -423, -570?\n\"Answer: -f**3 + f**2 - 95*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 3. Let u = -4 + 3. Let l be 2 + 80\/(-44) + 0. Which is the nearest to u? (a) z (b) 0.2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 54 + 24\/8 + -3. What is the greatest common factor of n and 1026?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*y**2 + 0 - 7\/3*y - 1\/3*y**3.\nAnswer: -y*(y + 1)*(y + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(2\/185*5). What is the tens digit of (-1)\/((-584)\/w - (1 - -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)*o\/o**14)\/((o*((o\/(o*o**(1\/2)))\/o)\/o)\/o*o**23) assuming o is positive.\nAnswer: o**(-81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 703?\nAnswer: 5624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 21*h. Let v be l(3). Let o = -691\/11 + v. Let i = -0.2577 - 0.0423. Which is the second smallest value? (a) 0.4 (b) o (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 1:55 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 4*o. Let l be r(-3). Suppose 0 = -4*m + d + l, 0*m + 2*m - 5*d + 6 = 0. Factor 2\/3 - q + 1\/3*q**m.\nAnswer: (q - 2)*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.985 - 0.015. Let n = t + 19.1. Let i = 0 + -5. What is the third biggest value in i, 0.3, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 8*q**2 - 3*q. Let g be y(-4). Let z = g - 70. Is z a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(4050) - (sqrt(4050) + (sqrt(4050) + 2)**2)))*-1.\nAnswer: 180*sqrt(2) + 4058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*c - 15. Suppose -b - 5*q + 207 = 0, -c*b + 389 = -q + 6*q. What is the highest common factor of b and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/21)*b**(-2)*(b**(-2\/7)*b*b*b)\/(b*b\/(b*b\/(b*b*b**(1\/2)*b))*b)*((b*b\/b**(1\/4))\/(b*b**(5\/3)*b))**41 assuming b is positive.\nAnswer: b**(-2309\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7963 and 306?\nAnswer: 2436678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16972\/41 - -725467\/574. Let t = i + -852. What is the common denominator of t and 97\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46650*m**2 - 46650*m**2 - 13*m**3 + 8*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + (5 - (-2 - -5)) - -7) + (-29 - 4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26.57 + 26. Let f = d - -0.045. Let b = -0.101 - f. Round b to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**3 - 2*x**2 + 5*x + 10. Let h be a(5). Let q = 316 + h. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 15. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -61*w**3 - 2*w**2 + 4*w + 89. Let k(z) = -z**4 - 184*z**3 - 7*z**2 + 14*z + 267. Let s(i) = 2*k(i) - 7*y(i). What is the derivative of s(x) wrt x?\nAnswer: -8*x**3 + 177*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*v - 9475225 = 0, -3*v - 1459292 + 3828077 = w. What is w rounded to the nearest 10000?\nAnswer: 2370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16020583*h**2*l*m - 2*h*l*m + 39*h*l + 840*h*m - 2*l*m wrt h.\nAnswer: 32041166*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -103 - -102. Let k = 4 - 3. Let y be (1 + 0)\/k - (d + -2). Solve 0 = -y*h - 16, 3*u - 26 = 5*h + 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*4)\/((145\/116)\/(((-155)\/(-18))\/(-31)))?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 23, 6007800.\nAnswer: -2, 23, 6007800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/l**28*l))\/l*l\/l**(-4\/9) assuming l is positive.\nAnswer: l**(256\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 4*h - 23 = 0, -h - 16 = u - 4*h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 683.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 171 + -171.0616. Let c = -0.06643 - w. What is c rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144413608 a multiple of 788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i + 7*i - 6*i**2)*(-i - i + 3*i) - 2*i - i**3 + 2*i - 14*i**3 - 8 + 8.\nAnswer: -21*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**6\/20 + o**5\/4 - o**4\/24 - o**3\/2 - 34*o. Factor n(h).\nAnswer: -h*(h - 3)*(h - 1)*(3*h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7001 - -0.687. Let v = 0.011409 + o. What is v rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 718028955*r**2 - 42963797992518189*r - 42963798710547147.\nAnswer: -3*(r - 119671493)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-182))\/((-3)\/2)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 8*v**2 - 7*v - 4. Let g be s(7). Let w(o) = -94*o + 9. Let r be w(g). What is the common denominator of 89\/6 and 3124\/r + (-4)\/(-14)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91435 + 95823827\/1048. Find the common denominator of 25\/262 and t.\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125222 by 34.\nAnswer: 3683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 93657385 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 + ((-11)\/22*-91610)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177 (base 11) to base 2.\nAnswer: 11001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2527\/4850 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 2*z - 3*z + 4*z - b + 13, -3*z - 31*b = 83 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k + 55. Suppose -2*c + 21 = c. What is the remainder when d(15) is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 26*o - 121. Let j be z(4). Solve -q + 30 = -5*l, -4*q + 2*q - j = 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 6*i - 1. Let j = 125 - 120. Suppose -20 = 2*r + 5*l, r + 0*l = 5*l + j. Give o(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 2\/7, 2, -10\/371, 3\/2, -14, -2?\nAnswer: -10\/371","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 6*c + 8. Suppose -34*d = -39*d - z + 24, 0 = d - 5*z - 10. Give i(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5831 and 11.\nAnswer: 64141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162) - (0 + sqrt(162) + sqrt(162))) + -3 - sqrt(162)*1*3)*5 + (sqrt(162) - 6*(1 + sqrt(162)) - (sqrt(162)*2 + 4)) + -2)**2.\nAnswer: 13122*sqrt(2) + 118827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 5*n - 1096 = -1113, n - 17 = -3*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/6 + -1)\/(1\/2). What is the nearest to 2 in -1\/4, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8965, -35837, -80631, -143353, -224009?\n\"Answer: -c**3 - 8955*c**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3505 - 3?\nAnswer: 3502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 283*g + 2257. Calculate w(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001197259167 rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1452 in -11, 0.4, -0.182, -1\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**5\/60 - 2076*f**2. Let w(u) = -784*u. Give g(w(q)).\nAnswer: 614656*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2 = -8. Suppose t*k + 2*k = -312000. What is k rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -9*w. Suppose 0 = -5*z - 0*z. Let g = -1 + z. Let b be d(g). What is the highest common divisor of b and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.54+158445544302\nAnswer: 158445544306.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3234182668 by -4.\nAnswer: -808545667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times -179.96?\nAnswer: 8.998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(7 - 7 - 11*r).\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7*x - 16 = 0. Suppose 0 = -w + 3*b + 17, 128*b + 5 = 5*w + 129*b. Solve -w*a = -x*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -3. Let i = 11 - r. Let k be (2\/i)\/((-5)\/(-300)). Calculate the greatest common divisor of 16 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 590771202 to the nearest integer?\nAnswer: 24306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaa. Give prob of picking 2 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*m**2 + 79*m**2 + 133*m**2 to a + r*m**2 + k*m and give r.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09101483 to three decimal places.\nAnswer: -0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9612 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-27)\/(-15))\/(1\/(-5)). Let b = 18 + u. Let z(y) = y**2 + 33*y - 317. What is the remainder when z(-42) is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 347806.5kg?\nAnswer: 347806500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (192\/(-240))\/((-1)\/(10\/10)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 2*t**6\/3 - 228*t**5\/5 - 92*t**4\/3 - 4*t + 6. Determine j so that z(j) = 0.\nAnswer: -2\/5, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -5. Suppose 0 = 5*k - n - 41, -2*k + 13 = -0*k + c*n. What is the remainder when k is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f. Let p be a(-2). Find the first derivative of r - 3 + 3 + 0*r - p wrt r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*z + 1144 = 0, 3*l = -2*z - 1375 + 4827. Solve -l + 1157 = 5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100011110 (base 2) to base 14.\nAnswer: -942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 21*l**2 + 119*l - 119. Suppose -79*f + 25*f - 324 = 0. Let v(s) = -s**2 - 6*s + 6. Determine f*h(j) - 119*v(j).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/18 and (-4)\/8 + 10\/(-11)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -15*b**3 + 2*b**2 + 2*b + 1. Let y be n(-1). Suppose 37 = 2*o + 3*h, 4*h - 3*h = 5. Let r = y - o. What is the least common multiple of 11 and r?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 8704*u - 8699*u - 95, 0 = -m + u + 4*u - 25 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, v: 3, a: 3, s: 3}. Give prob of picking 2 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1349399, -1349251, -1349103, -1348955?\n\"Answer: 148*h - 1349547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**5\/30 - o**4\/12 - o**3\/6 - o**2. Let c be s(-1). Let q = 4 + c. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, 0, -0.2, 3\/20?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 233, 475, 717?\n\"Answer: 242*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**4\/12 + r**3 + r**2\/2 - r. Let j be l(6). Sort j, -5, 2 in descending order.\nAnswer: 2, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2685 + -2684. Which is the third smallest value? (a) o (b) -36 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*w = -3356 - 2234, b = 3*w + 1860. Let d = b - 1096. Suppose 0 = -2*i + 4*u + 334, i - d = -4*i - 3*u. List the prime factors of i.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 149113374 to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1749 = 87*k - 2271 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 2638?\nAnswer: 23742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**3 - 2*j + 1. Let v be b(1). Let g be 1\/v - 531\/(-12). Find the common denominator of (g\/(-28))\/(1\/(-5)) and 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 11, -3518, -4, -2, 299 in ascending order.\nAnswer: -3518, -5, -4, -2, 0, 11, 299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 77 = -2*p, -3*p - f + 116 = -5*f. Let z = 40 - 26. Let n = p - z. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.205619 millilitres to litres.\nAnswer: 0.002205619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 979 - 1952 - 222*s**2 + 972 - s.\nAnswer: -222*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -24c (base 13) to base 14\nAnswer: -20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (73\/292)\/(330\/(-48))?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356327 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30.72 + -34.72. Which is the third biggest value? (a) -177 (b) 4\/5 (c) q (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.47, -0.4, -2?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 12116.701 to the nearest 10.\nAnswer: 12120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 11) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**3\/8 + 267*r**2\/8 + 46467*r\/4 - 11650 = 0.\nAnswer: -200, 1, 466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74640000 = 276*b - 270*b. Round b to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 4:21 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of 143*g**5\/15 - 11*g**2 + 28*g. Let n(y) = 5*y**2. Calculate j(n(d)).\nAnswer: 14300*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8)\/(96\/(-144))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 71 = 424. Suppose -3*q + j = -168. What is the remainder when q is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -17. Solve -6*k + 26 = -k - w, -v = w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 248*u**2 - 493*u + 1735. What is o(-250)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.96988 litres to millilitres.\nAnswer: 14969.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c**(-2))*c)**(-8))**(-50) assuming c is positive.\nAnswer: c**1600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -250, -519, -842, -1243, -1746, -2375?\n\"Answer: -4*p**3 - 3*p**2 - 232*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 1271634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11473 and 82938317.\nAnswer: 82938317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10934 (base 13) to base 6\nAnswer: 351245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 6) to base 14\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -1161*w. Let h(q) = -30*q**2. Determine o(h(p)).\nAnswer: 34830*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 19. Let k = 4 + l. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 174373240 and -0.012178.\nAnswer: 174373239.987822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 3 = 5*y, -2*s + y - 1 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.3996216 to 3 decimal places.\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117117 divided by -125.\nAnswer: -117117\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -u + 9, -3*u + 6 = 12. Let v(s) = -s**3 - 11*s**2 - 1. Let m be v(r). Is -1\/46 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 0*g**5 + 0*g**2 + 34*g + 0 + 1\/3*g**4 + 1\/30*g**6 + 0*g**3 + 43\/14*g**7. Find the third derivative of k(w) wrt w.\nAnswer: 7740*w**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20845.221 and -5.\nAnswer: 104226.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -25*f + 1826. What is d(73)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/29 (b) 2\/7 (c) 0 (d) 20 (e) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.6 or -1083?\nAnswer: -1083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12414591?\nAnswer: 3, 7, 28151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45039 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 70*c - 6. Let u(h) = 23*h - 2. Let l(p) = 2*f(p) - 7*u(p). Let o be l(-3). What is the highest common divisor of 26 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -93 and 1.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 431*q**5 - 5*q**2\/2 + 69*q + 1070. Find the second derivative of s(g) wrt g.\nAnswer: 25860*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 3*q + 16. Let p(w) = -w**3 + w - 1. Let s be p(0). Which is the third biggest value? (a) q (b) -0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**3\/3 + 15*s**2\/2 - 16*s - 30. Let c be g(-16). Suppose c = t - 12 - 1. What is the highest common factor of t and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 577 is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 179 + -2. Let n = k + 734. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8668804.0046 + -8667976. Let p = q - 828. Round p to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -1204?\nAnswer: -1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d - 11. Let s be h(-6). Suppose -3*m = -5 - s. Solve 0*z = 2*z + m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(1053\/(-78))*1*(-8)\/(96\/6)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 - 0.11. Sort l, 3, 2\/17 in decreasing order.\nAnswer: 3, 2\/17, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 36 = 3*u, 4*m - 22*u - 102 = -17*u. Solve -3*p = 3*z + m, 3*z - 8 = 4*p - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - -20. Let t(u) = u**2 + 6*u + 46. Suppose -2*h = 5*p + 16, 39*p + 6 = 40*p + 5*h. What is the common denominator of t(p) and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -5*j - 11, -10*j = -8*j + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-14) - (-33)\/77. Let w be l\/(3 - (-42)\/(-15)). Suppose 0 = -w*j + 31 - 6. Solve 22 = x - 4*f, -2*x - j*f = -6*x + 33 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45.475 - 0.525. Which is greater: 19 or p?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**3 - 2*z + 1. Let k be a(2). Let m be ((-6)\/7)\/(5\/k). Suppose 0 = -2*f + m*f - 16. Is 4 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7970*c*l*w + 986054*c*l + c*w - 12*l*w + 51*l + 6*w wrt w?\nAnswer: -7970*c*l + c - 12*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5101?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 4. Let i(g) = 2*g**2 - 91*g - 25. What is -i(w) - 6*y(w)?\nAnswer: -2*w**2 + 97*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 3*c**2 - 3. Let k be r(3). Let v(m) be the first derivative of -m**3\/3 - 3*m**2\/2 + 4*m - 6. Determine v(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -7*i + 75. Let l be r(-34). What is the units digit of l - ((-2 + 11)\/(-3) - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izqqizzqqz. What is prob of sequence zi?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + b + 1088 = -2937, 2*b + 1015 = r. What are the prime factors of r?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24298 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 5*k - 12. Let u be z(7). Suppose 5*w = x - 12, u*w = 3*w + x. Is -2 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -41686, -166730, -375132, -666892, -1042010, -1500486?\n\"Answer: -41679*p**2 - 7*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347912 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**3 - 81*p**2 + 1008*p + 16896 = 0.\nAnswer: -32, -11, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -5 (c) 0 (d) 4\/3 (e) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2036144713?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -p - 3*l + 31, 116 = 2*p + l. Solve 57*q + 6 = p*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -124*g**2 - 25307*g + 131. Give v(-204).\nAnswer: 2375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 5 (c) 10\/19 (d) 7\/2 (e) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i**2 + i**2 - 2*i**2)*(3*i**2 + 15*i**2 - 9*i**2) to a*i + t*i**4 + s*i**3 + n*i**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21542 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1017500 or -25437534\/25?\nAnswer: -1017500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f + 6. Let r be c(0). Let x be (24\/r)\/(-3 - -5). Find the third derivative of -3*d**4 - 13*d**6 + 13*d**x - 3*d**4 + 6*d**4 wrt d.\nAnswer: -1560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3500)\/105*(-10)\/(120\/(-54))*6\/9?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 8*z - 186. Let j be o(21). Let u(d) = -d**2 - 11*d + 167. Let w be u(j). What is the greatest common divisor of 123 and w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -304440 or -304428?\nAnswer: -304440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 6, -5, 737, -3\/112, 4, 5?\nAnswer: -3\/112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11694 - -11834. Calculate the greatest common divisor of 5780 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1937 - v**3 + 1937.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122335197 is divided by 195.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - i + p = 183, 45 = i - 4*p. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - a - 3*a = 3, -5*a + 10 = -4*y. Let b = 5 + y. Sort b, -3, 11.\nAnswer: -3, b, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 12)*(3 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22263 + 22260. Suppose 0*y - y = 0. What is the third smallest value in m, -4\/43, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-77) + (-549)\/63.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164 and 17844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 2*f - 2*f)*(3 + 1 - 5)*(-3*f - f + 2*f + (-2*f + 0 + 0)*(4 + 1 - 4) - f + 4 - 4 + 0*f + 4*f - 7*f).\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (15\/(-15))\/((-1)\/10007) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4252095 by 44.\nAnswer: -4252095\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 - 212 - 116)*(-2*r + 4*r - 2 + 4).\nAnswer: -538*r - 538","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2. Let w(z) = -24*z + 9. Let t be w(-6). Let i(u) = -153 - 2*u**2 + t. Give m(i(g)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - c**2 + 1. Let v(j) = -5*j**3 + 4*j**2 - 2. Let r(n) = -24*n - 120. Let g be r(-6). Suppose g = -12*y + 6*y. Give y*l(d) - v(d).\nAnswer: d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -3862?\nAnswer: -3858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2))**(-17)*o**(-4\/9)*(o*o**(-5)*o)\/o*((o*o\/o**3)\/o**4)\/(o**(2\/5)*o**4\/o) assuming o is positive.\nAnswer: o**(-391\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 21 = 4*y, -3*y + 7 = 3*g - 11. Let q = -969 + 988. Calculate the greatest common divisor of g and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-20))\/((-3)\/(-30)). Suppose 5*x - 3499 = -3*j, -x = -p*x + 6. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 29.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -490 (c) 2\/11 (d) 1565 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -47770338, -95540665, -143310994, -191081325, -238851658?\n\"Answer: -x**2 - 47770324*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 - -52. Let y be (57\/(-30) - l)\/(2\/15). Factor 3\/4*n - 3\/4*n**2 + 3\/4*n**4 + 0 - y*n**3.\nAnswer: 3*n*(n - 1)**2*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(28\/12)*223. What are the prime factors of a*-2*1\/(-6)?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaee when four letters picked without replacement from eeeeeeaeeeeaea?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 33\/5 of a millennium?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1880919542 - -1880919765.2284467. Let o = a + -223.3265. Let j = o - -0.098. Round j to six dps.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/17? (a) 5\/4 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*b + 33*b = -2*b - 1911 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 121 * -0.5.\nAnswer: -60.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 2*a**2 + 7*a + 4. Let m be h(4). Are m and 3\/185 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, 0.1322, -0.5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/1164933841 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 1. Suppose 3*y - 77 = -20. Suppose 4*m + y + 5 = 4*b, -3*b = m + n. Which is greater: 2 or b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/5, 63, -6, 114, 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*k - 3 + (-k - 62*k - k)*(9 - 2 - 2).\nAnswer: -318*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0925088924 to 4 dps.\nAnswer: -0.0925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 6*d + 7 = -9*d, 3*d = 3*z + 21 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 659 + -680.025. Let h = 0.025 + r. Let i = 21.00112 + h. What is i rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (11 - 3 - 17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100000000 - 100?\nAnswer: 111011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 99120 divided by -8260?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -154*g + 52. Let k(j) = -71*j + 24. Let u(m) = 6*c(m) - 13*k(m). Let p(s) = 1 - 1 + 433*s**2. What is p(u(r))?\nAnswer: 433*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 + 0)*(13 - 4 - 1) + 2 + 2 - 1)*(20*o**3 - 8 + 8).\nAnswer: 220*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*b + 420 = -158. Solve 36*u - b*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 60, 21, -44, -141?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmj when three letters picked without replacement from xmeejxxjmfjqqqqxe?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*162\/2754?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -464\/39*f**3 + 13\/10*f**5 + 36\/13*f**2 - 72*f + 113\/6*f**4 + 0. Factor z(a).\nAnswer: 2*(a + 9)*(13*a - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 211, 740, 2061, 4534, 8519, 14376?\n\"Answer: 60*k**3 + 36*k**2 + k + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 8:42 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 102 + -103. Does 19 divide (63\/(-27))\/(v\/57)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -58, 0, 5\/2, -6315?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 9 - 7 - 45*j - 1. List the prime factors of u(-1).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f**3 + 4*f**3 + 0*f**3 + (-27*f - 12 + 12)*(-3*f**2 - 2*f**2 + 4*f**2))*(-2*f + 3*f + f) as k + j*f**3 + q*f**2 + o*f**4 + d*f and give o.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00161094969 to 5 decimal places.\nAnswer: 0.00161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4)*36\/(-27)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 148 - 395 + 2*f**2 + 135 + 129 + 9*f to j + b*f + c*f**2 and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27.05 - 27.04997604. What is z rounded to seven dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*n - 29*n - 1241*n**4 + 129*n + 859*n**4 wrt n?\nAnswer: -4584*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 + 685*g + 294. What is the hundreds digit of x(130)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*v**6 + 0*v**2 - 3*v**2 + 2*v**2 wrt v?\nAnswer: -1080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 5*g + 8. Let d be k(6). Suppose -4*f - w + 0*w = -21, -3*w = 3*f - 27. Suppose f*q = -8, -d*m - 2*q + 11 + 13 = 0. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4 + 16 - 10 + 36*i - 9. Is x(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69382433 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + (sqrt(1100) + 1 + -2 - sqrt(1100)) + 4 - (0 + 2*sqrt(1100)*-1)) + -3)**2.\nAnswer: 9900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27*f + 6*f - 3*f - 7*f - 76*f)*(19 - 19 + 53*f**2 + (4 - 4 + f)*(5 + 2*f - 5)) to n*f**3 + a*f + o + l*f**2 and give n.\nAnswer: -5885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13794577.\nAnswer: 443, 31139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - 2 - (39 - 25).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ruir when four letters picked without replacement from {i: 4, u: 8, r: 8}.\nAnswer: 224\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2)**(-26))**(-16)\/(k*k\/(k**(-4)\/k*k*k)*k**(-8))**36 assuming k is positive.\nAnswer: k**940","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = 103*q + 49*q - 137. Let x = 1 + -0.9. Let l = x + 0.9. Which is the nearest to q? (a) -4\/9 (b) l (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585023.\nAnswer: 585023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -678152.241 rounded to the nearest 1000?\nAnswer: -678000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 11*y**2 - 12*y + 4. Let c be a(-12). Solve -2*v = -2*z, 16 = -5*v + z - c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 42, -5, 2\/15 in increasing order.\nAnswer: -5, -1, 2\/15, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + -1)*-3*9\/45?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3.088, 1, 1\/12, -4 in decreasing order.\nAnswer: 3.088, 1, 1\/12, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1398)\/12 + (62 - 615\/10)*(0 - 1)?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2662186 by 6.\nAnswer: -1331093\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 6*q - q. Let m be (1 + -4)\/(-2 + 3). Let h(b) = -3*b**2 + 2*b**2 + 3*b - 4*b**2. Let d(a) = -4*a**2 + 2*a. Give m*d(l) + q*h(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7 and -178?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179 or -204?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nznjnll. Give prob of sequence lz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33140 + 2301221?\nAnswer: 2334411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(((x\/x**(-4))\/x)\/x))**18*x\/(x\/(x*x**8*x))*(x\/(x*(x\/x**0)\/x*x))\/x assuming x is positive.\nAnswer: x**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from {b: 1, t: 5, c: 2, p: 8, h: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -15900 to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**2 + 21556*l + 1653883 = 0.\nAnswer: -21479, -77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from wsssswssssssssswss?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - c**2 - 2*c + 2. Let l be i(0). Suppose -l*z + 6 = 4*v, -5*z = -2*v - 3*v + 15. What are the prime factors of ((-48)\/20)\/(z\/45)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1603 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 361*d**2 + 1379*d + 17541. Let t be r(357). Solve 864 + 2\/3*q**2 - t*q = 0.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-2)*x)*x*x*x**(-6))**(-5\/8) assuming x is positive.\nAnswer: x**(35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -5*f + 3*v, 3*f + 7*v - 48 = 3*v. Which is the second biggest value? (a) 2 (b) -1\/2 (c) f (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**3 + l. Let o be g(-1). Suppose 0 = 2*q - k + 720, o*q = k + 3*k - 720. What is q rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**8\/112 + m**7\/35 - 3*m**6\/40 - 2*m**5\/5 - m**4\/2 + 11*m**2 + 2. Factor n(u).\nAnswer: 3*u*(u - 2)*(u + 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**5 - 252*r**4 - 1255*r**3 - 558*r**2 + 440*r = 0. Calculate r.\nAnswer: -4, -1, 0, 2\/5, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**7\/441 + m**6\/315 - 99*m. Factor q(t).\nAnswer: 2*t**4*(t + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(-s - s - s) + 7 + 3*s - 7 + (-5 - 3 + 6)*(s + 2*s - s) + 2*s - 2*s - 3*s + 11*s + 126 - 126.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**4 - 14023*d**2 - 17*d - 9456 wrt d.\nAnswer: -48*d**2 - 28046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 199*k**4 - 6545*k**3 + 49*k**2 + 20017*k wrt k?\nAnswer: 4776*k - 39270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82896773?\nAnswer: 82896773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 d when four letters picked without replacement from pkppkudefedueuku?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*l + 2*c - c, 3*c + 9 = -3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -124*g*q**3 - 357*g*q**2 - g - q**3 - 121731*q**2 wrt g?\nAnswer: -124*q**3 - 357*q**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3326, 3323, 3320, 3317, 3314?\n\"Answer: -3*p + 3329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12247051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 120653 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: Four letters picked without replacement from {j: 16, i: 2}. Give prob of picking 4 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 61536.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (36\/(-7))\/(2\/(-7)). Let q be (-4)\/t - (-24493)\/99. Let f = q + -247. Is -0.1 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 4, 1\/21, -4\/25, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19816 is divided by 6598?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/(-25))\/(5\/775 - 0). Let l(x) = -x**2 - 6*x + 1. Let p be l(-7). What is the common denominator of (-3)\/p - h\/16 and 26\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 6375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + sqrt(19) + 4 + 1 + (2*(sqrt(209) - sqrt(209)*3))\/sqrt(11))**2.\nAnswer: -252 + 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(-2*o - 3*o + 6*o) + 3*o + 0 + 0 - 72*o - 70*o + 137*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-4*-5*(sqrt(130) + sqrt(130)*2)*4)\/(-1*-5*(sqrt(10) - (sqrt(160) + 2*sqrt(160)))))**2.\nAnswer: -288*sqrt(13)\/11 + 31041\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*z + 4*z - z)*(2 - 1 - 2) - 18 + 13*z + 18 - 458 - 461 + 918 + 230*z in the form v*z + r and give v.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.4 or -0.07491?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1082 - -1081.98. What is the smallest value in v, -23, -0.6?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 53 - t**2 - 2*t**2 - 30.\nAnswer: -3*t**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -833*h**6 - 1583*h**2 wrt h?\nAnswer: -99960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -11*c + 89. Calculate n(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 141 - 244. Let u = -48 - q. Suppose 4*t - 28 - 60 = 0. What is the highest common factor of u and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1008, -3929, -8798, -15615?\nAnswer: -24380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 take away -45507.9609?\nAnswer: 45892.9609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 5. Let d be h(0). Let t be (2 + -2)\/(1 + 2). Put d, t, 4 in ascending order.\nAnswer: t, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**2 + 7*q - 7*q)*(q**3 - 6*q**3 + 3*q**3) + (-2*q**3 - q**3 + 4*q**3)*(0*q**2 + q**2 + q**2).\nAnswer: -6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 305015 and 1325?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 11, t: 9}. Give prob of picking 3 v.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2427185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*m + 9*m**3 - 9*m)*(m - 2*m + 6*m) to t + q*m**3 + w*m + a*m**4 + v*m**2 and give a.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c + 18 = 35*c. Suppose 2*v - 3 - 1 = 0. Suppose 5*b - q - 16 = 0, b + 2*b - 4 = v*q. Solve c = b*m + 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -5, 5, 106, 2.3, -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 - 372*f - 2751.\nAnswer: 3*(f - 131)*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -7*z**4\/6 - 4*z**3\/9 + 1. Suppose t(h) = 0. Calculate h.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 370*n**3 + 379*n**3 - 8 + (n - 3*n + 0*n)*(0*n**2 - 5*n**2 + 4*n**2).\nAnswer: 11*n**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*u + 1941 = -0*k, 5*u + 988 = k. Is 29 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79*z**4 - 37*z**3 - 2*z**2 + 53*z - 56 wrt z.\nAnswer: -1896*z - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25604, 27259, 28888, 30479, 32020, 33499?\nAnswer: 34904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.6 times 46?\nAnswer: -349.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5016 - -470?\nAnswer: -4546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/9 + 539851*i\/9 + 5938240\/9.\nAnswer: (i + 11)*(i + 539840)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -709, -1426, -2143?\n\"Answer: -717*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (-1 - 0)) + -3. What is the common denominator of 51\/(-2) + -1 + b and (1 - -6)*30\/48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3647219551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 16. Suppose y*k + 0*k = 0. Suppose -2*w - o + 3 = k, 8*o = 3*w + 4*o - 32. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*l + 60 = 0, 8 + 4 = -4*l. Let g = 76 + -78. Calculate the least common multiple of c and (g\/1)\/(18\/(-72)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = 10*z. Suppose o + 34 = 5*f - z*o, 20 = -5*o. Solve -20 = w - f*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -230*b**2 - 2. Let p(s) be the first derivative of -s**2\/2 - 6092. What is p(h(l))?\nAnswer: 230*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -80*i - 1365. Calculate u(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**8\/2856 + b**6\/170 - 4*b**5\/255 + b**4\/68 - 156*b**2. Solve k(z) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10 + (-225)\/(-18))\/(1\/2). Suppose 0 = s*j - 2*c - 52795, -10559 = -j + 2*c + 3*c. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 248*f - 243*f - 14790. Is 76 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 + 6*n**5 - 4*n**5 + (-3*n - 2 + 2)*(-3*n**4 + 2*n**4 + 3*n**4) + 0*n + 2*n**4 - 4*n**5 + n**3 + 7*n - 6*n.\nAnswer: -9*n**5 + 2*n**4 + n**3 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 13) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 19, -0.044 in ascending order.\nAnswer: -2\/7, -0.044, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + -110111011001000101?\nAnswer: -110111011001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16.2 - -2.2. Let d = -7 - a. Let w = d - 6. Is w <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y - 4*y - 3*d - 6 = 0, -3*y + d = -2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159992?\nAnswer: 2, 7, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -86085.\nAnswer: 774765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 7, -1\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -93*w**4\/8 + 25*w**3\/6 - 312*w**2. Find the first derivative of f(r) wrt r.\nAnswer: -279","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 3. Let x be 2 - ((-37)\/(-60) - 50\/(-40)). Let h be (1\/(-4))\/((-4)\/(32\/(-6))). What is the nearest to h in t, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 9:32 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53950*i**3 + 14*i**2*r - 119*i*r + 10*i - 2*r + 1 wrt i?\nAnswer: -323700*i + 28*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4981 or 39837\/8?\nAnswer: 39837\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c**2 - 5*c + c**2 - 2*c**2 + 6*c**2 + 19. Let o be l(-7). Solve o*d**3 - d**3 + 2*d**5 + 3*d - 4*d**5 - 5*d = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -1. Let c be 3\/2 - l\/4. Suppose 0*r + 5*j = r - 19, 4*r - 3*j - 8 = 0. Is c at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-121) - 9968\/34496?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {p: 2, w: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*a + 32*a + 27*a)*(7*a**4 + 2*a**2 - 4*a**2 + 0*a**2).\nAnswer: 112*a**5 - 32*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/15 (b) 1\/3 (c) 3\/7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*h + 41*x - 44*x, -2*x - 2 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010000000 (base 2) in base 8?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-48))\/(15\/3)*-4\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 + -0.4. Let d = -65 - -66. Which is the closest to d? (a) 0 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = 3*f + 4*i, -f + 34 = -3*f + 2*i. Let l = 23 + f. Suppose 0 = 4*c - x - 145, -l*c + x + 75 = -0*x. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1090864954.\nAnswer: 2, 439, 727, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -8\/5 (b) -2 (c) 2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62550345*c**2*r**3 - 2*c**2*r**2 + 2*c**2*r + 4*c**2 - 5011*c*r - 2*r**2 wrt r?\nAnswer: 375302070*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3406 - -9853. Let g(l) = -1771*l**3 - 2*l**2 - 2*l - 1. Let j be g(-1). Suppose -3*d - j = -v. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5*t. Suppose -2*s + 4 + t = 0. Suppose 0 = -p + 2 + s. Sort p, 0, -2 in descending order.\nAnswer: p, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 - 71. Suppose 5*z = i*j - 40 - 87, -2*z = -5*j + 307. Calculate the remainder when j is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 11 - -10 - (-5 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2bb554 (base 14) to base 6\nAnswer: -52440502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -92019316246 minus 0.5?\nAnswer: -92019316246.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2311112 - -13330?\nAnswer: 2324442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 - -55. Differentiate 29 - a + 3*n**2 - 7*n**3 + 42 wrt n.\nAnswer: -21*n**2 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.23 + 1.37. Let u = -1.8 + l. Sort u, -5\/4, 3\/4 in increasing order.\nAnswer: -5\/4, u, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-13 - (-23 + 1) - 16).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13473 and 35613?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15, -8, 2\/9, 0.5, -3\/8 in ascending order.\nAnswer: -8, -3\/8, 0.15, 2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4 - 1, -u - 4*z = -1. What is the remainder when 8 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -48.9. Let q = 2.100113 - s. What is q rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u**3 + 6*u**2 - 5*u. Let s(c) = 3*c**3 - 5*c**2 + 4*c. Let f(b) = -3*b**3 + 5*b**2 - 4*b. Let x(a) = 7*f(a) + 6*s(a). Determine 5*o(t) - 6*x(t).\nAnswer: -2*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 20*f**2 + 3*f**4 - 9*f**3 - 21*f**2 - 5 + 3*f to d + i*f + c*f**4 + v*f**3 + s*f**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a - 2*a + 31*a)*(2 + 2 - 7).\nAnswer: -108*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -276 - -279.78. Let z = -4 + v. Let r = z + 0.13. Round r to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -34. Let v(j) = 4*j - 1116. Give g(f) + v(f).\nAnswer: 4*f - 1150","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**3 - 228*t**2 + 1269504*t - 3806352 = 0?\nAnswer: -594, 3, 534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11 + -8 + -3 - 484\/(-4). What is the greatest common divisor of x and 352?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -352 - -797. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jos when three letters picked without replacement from {o: 1, s: 2, j: 3, p: 4, t: 1, k: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 106840759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2794352.\nAnswer: 2, 11, 15877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4516 and 5330?\nAnswer: 12035140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1229 (base 15) to base 16.\nAnswer: f18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85550563*s**2 - 154379984 wrt s.\nAnswer: 171101126*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26772\/(-414)*((-153)\/2 + 0)?\nAnswer: 3, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 169 = -28*k - 50 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s - 41. Let p be r(11). Suppose -p*u = -9*u + 2106. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -132, 5, 0 in increasing order.\nAnswer: -132, -4, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*t - 16, 3*w - 5*w - 4*t + 28 = 0. Suppose -3 = w*l - 7. Let h be (l - (-2 + 0)) + 0. What is the highest common factor of h and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366141031 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 m be 2 - (1 + 0 - -3). Let s be (1\/3)\/(1\/(-4)). Is m > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)*(g*g**(1\/4)*g*g)\/g)**(-3\/32)\/(((g\/(g**(-5)\/g))\/g*g**(1\/4)\/g)\/(g**(-2))**(-44)) assuming g is positive.\nAnswer: g**(10601\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -898561*m**2 - 275496?\nAnswer: -1797122*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*y = -3*i + 61*y + 5, 3*i = 3*y + 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 12552 and 12552 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 800405.2s?\nAnswer: 800405200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*(-18)\/(-12)*((-73)\/(-12) - 6)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -864*q**4*s + q**4*z - 6*q*z - 2*s*z - 2*z wrt q.\nAnswer: -10368*q**2*s + 12*q**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o = a - 7, 2*a - 6 = 0. Suppose 0 = 6*h - o*h. What is the second smallest value in -2, -0.06, h?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40449, 40458, 40467, 40476, 40485?\nAnswer: 40494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (1 - -3) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19*(-33)\/1463)\/((-2)\/(-7))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -9*h**2 + 638*h + 717. Let v be y(72). Put 4, 3, v, -1, -21 in decreasing order.\nAnswer: 4, 3, -1, v, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-5 - 17) - -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6 + 0 - w + 2*w**2 - w**2. Let h be d(-10). Calculate the greatest common divisor of 26 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*j**4 + 20 + 13 - 24 wrt j?\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18142?\nAnswer: 2, 47, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -185 (base 10) to base 7.\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 31 = s, j + 1 = -0. Suppose -3*x = -7*x + s. Solve 0 = -x*i + 3*i - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -635, -24, 2525 in ascending order.\nAnswer: -635, -24, 2525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, w: 3, h: 1, d: 2}. Give prob of picking 1 d and 3 w.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -1121 and -8977\/8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 376\/3 - 124. Are 2 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7685 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.6 - -0.14. Let g = o - -1.26. Which is the smallest value? (a) 0.2 (b) 4 (c) 29 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i - 8. Let k be b(-5). Suppose k*p = -0*p. Is p less than or equal to -1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 62*x - 57*x + 11, -2*x = -m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -14536468.4?\nAnswer: -14536465.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - -5.85.\nAnswer: -18.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p - 2. Suppose -2*z + 56 - 212 = -5*j, 75 = 2*j - 5*z. Let t = j + -32. Let r be 1 + -4 + -2 + t\/1. What is s(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6616561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -12. Let b be 1 + 6 + (-2 - c). Let r(h) = 7*h**2 + 3*h. Let f be r(-4). Calculate the greatest common factor of f and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 204 + -189. Does 16 divide (-282)\/(-9) + 10\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnnnnhnnhnnhnnnnnh. Give prob of picking 2 n and 2 h.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 320, 314, 308?\n\"Answer: -6*y + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aappappppjppajap?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 13.1. Let q = 0.6 - p. Let j = 3.2 + -0.2. Which is the closest to 0.1? (a) -0.4 (b) j (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 48*l - 12. Let y be f(6). Let h be 5\/(-30) + 70\/y. Which is the third smallest value? (a) 0.2 (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 39*z**2 + 1013*z - 22. Let j be q(-26). Solve -123*b = -119*b + j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*o + 9. Let v = -12 + o. Suppose -4 = 2*u + 2*r, 3*r + r = u - 13. Put v, u, 4 in increasing order.\nAnswer: v, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(18))**2 + 3.\nAnswer: 30*sqrt(2) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.07 (b) -3 (c) 170.6 (d) -18 (e) -0.1 (f) 0.2 (g) 0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 56, 122, 214, 332, 476, 646?\nAnswer: 842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -88916, -88915, -88914, -88913, -88912, -88911?\n\"Answer: u - 88917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -5 - (-14 - (94 - (-20 - -23)))) + 2.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 7 + 0*u**3 - 1\/6*u**4 + 0*u + 9\/2*u**2. Let z(f) be the second derivative of s(f). Let x(w) = 3*w. What is z(x(b))?\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/12)\/(9\/(-72)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20507649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000032866 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 63*h**2 + 158*h - 198. What are the prime factors of a(-51)?\nAnswer: 2, 3, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29241 divided by -3.\nAnswer: 9747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 35. Let y be v\/((-84)\/(-1808)) - 2\/(-3). What is the units digit of y*(-4 + 70\/25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-2)\/4)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18551 and 1677.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -672 - -695. Suppose -2*j - 272 = 2*j. What is the remainder when x is divided by j\/(-8) + 2\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**5 - 13015*s**4 + 235290*s**3 - 1570850*s**2 + 4584875*s - 4914375 = 0.\nAnswer: -2621, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**5 - 1461*l**4 - 145797*l**3 - 2306019*l**2 + 145794*l + 2307480 = 0 for l.\nAnswer: -67, -20, -1, 1, 574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 4*m - 8, -n + 5*m = 2*n + 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + 4 + 1)*4 - (sqrt(112) - (-2 + sqrt(112) - sqrt(112))*-4 - sqrt(112) - (4 + (sqrt(112) - (sqrt(112) + 2)) + sqrt(112))))**2 + 3.\nAnswer: 1200*sqrt(7) + 3703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5444 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*b + 9801 = -210, -3*b = -p + 10039. Which is greater: 10026 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/(-63) - 6\/(-2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41260410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5032493)\/(-2) + 12*(-3)\/24 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(13) - (1*sqrt(13) + sqrt(13))**2*2 - (sqrt(1053) + -2)**2) + ((sqrt(637) + 2 - sqrt(637))*4)**2).\nAnswer: -148*sqrt(13) + 4388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 80 + 1222 = 0. Suppose 624 - v = 3*b. Calculate the remainder when b is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 3, o: 17}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + g + 12 = 14, 8*g + 34 = -17*u + 21*g - 10*g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0.1000175. Round c to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (77 - 86) + (-8 + 7 - (9 + 2))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + f + (3*f - 3*f + 2*f)*(-4 + 1 + 1) - 4 + 2*f + 4 - 2*f - 3 + 3 - f + 3*f - 3*f)*(-8 + 28 - 2)*(3 - 4 + 3)*(-6*f - 6*f - 8*f).\nAnswer: 2880*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-5))\/((-2)\/(-10)). Let a = 0.14 + -0.2. Let g = -1.06 - a. What is the closest to -1 in c, g, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1942 = m + 232, q - 5*m - 734 = 0. Does 47 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 - 26*u - 64. What is a(10)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 9:05 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11524 is divided by 427?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*n - 1785, a + 3*n - 5*n = 352. Let j = -247 + a. Suppose -25 = -4*c + j. Calculate the remainder when c is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.16, 1\/6, -36, 2\/13, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1264*i - 4705 wrt i?\nAnswer: 1264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 2*q + 3. Let s be b(2). Suppose -6 = s*a - 18. Suppose -11 = -a*j + 161. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -106*s**3 + 2*s**2 - 2*s + 171. Let d(b) = -12*b**3 - b**2 + 1. What is a(q) - 9*d(q)?\nAnswer: 2*q**3 + 11*q**2 - 2*q + 162","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*j**3 - j**4 + 2*j + 7 - 5*j**2 + 3 + 4*j**5 - 10.\nAnswer: j*(j - 2)*(j + 1)**2*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 328 and 548914232?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p. Let a(b) be the second derivative of -4*b**4\/3 + 3*b. What is a(r(f))?\nAnswer: -64*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + t + 2*t)*(28 + 24 - 6)*(2 + 0 - 3).\nAnswer: 138*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -337*o. Let t(p) = 32*p - 30. Let b(w) = 21*w - 23. Let a(y) = 3*b(y) - 2*t(y). Give a(g(d)).\nAnswer: 337*d - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -8*a - 9. Suppose 0*w = -a*w + g + 18, 4*w = 2*g + 12. Solve 1 = -y + w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 55, -1, -45, 3, -32 in increasing order.\nAnswer: -45, -32, -1, 3, 17, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 71.78 from 5575.\nAnswer: 5503.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 10*j**3 - 1684*j**2 + 671*j + 165. Calculate o(168).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 16*n + 125. Let r be q(-8). Let c be (5 - 32)\/r + 983. Calculate the greatest common factor of c and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u. Let y(l) = 859*l**2 + 10*l + 60. Let b(p) = -p**2 + p + 6. Let i(c) = 10*b(c) - y(c). Give i(v(a)).\nAnswer: -7821*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(2\/19))**(-4\/17)\/(t**29*t**(1\/16)*t*t))**(2\/3) assuming t is positive.\nAnswer: t**(-163091\/7752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -1) + (-70)\/(-7). Let y be (1\/5)\/((-56)\/u - -5). Put y, 0.4, 7, -10 in decreasing order.\nAnswer: 7, y, 0.4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.819.\nAnswer: 0.4095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128906?\nAnswer: 2, 64453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*779\/(-1804)*-4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -159*v + 48. Let q be o(-3). Suppose 0 = -2*n - n, 3*s + 5*n = q. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.04, -0.7627, -0.4?\nAnswer: -0.7627","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 10:17 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 41, 73, 111, 161, 229?\n\"Answer: v**3 - 3*v**2 + 34*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 44791595?\nAnswer: 358332760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 26 = -3*k - h, 13 = k - 3*h. Let s(x) = -14*x - 7. Is s(k) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/240 and 181\/120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13929363.\nAnswer: 3, 7, 221101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002163 rounded to five decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15411, 15398, 15371, 15324, 15251, 15146, 15003, 14816?\nAnswer: 14579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-526)\/3)\/(2\/(-3)). Let g be v\/3 - 2\/(-6). Let u(n) = -2*n + 3. Let i be u(-4). What is the highest common divisor of i and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69956352 divided by -5568\nAnswer: -12564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = q - 2*q - 4*r, -q = -3*r + 14 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 y when three letters picked without replacement from inyininyyniiynbin.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4) - (-20)\/24) + 8\/348*-49?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20861, 41704, 62545, 83384, 104221?\nAnswer: 125056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*24\/(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -462 - -463. Which is greater: 351 or s?\nAnswer: 351","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.87, 0.1, 11, 3, 5, -3\/5 in descending order.\nAnswer: 11, 5, 3, 0.1, -3\/5, -0.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 617401785 to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 v when three letters picked without replacement from {o: 2, j: 1, k: 1, v: 8, z: 5}?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*-5*(-8)\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -1515?\nAnswer: 1520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -1.3. Suppose -5*q + 12 + 11 = u, 0 = -3*u - 6. Suppose 3*w + 4 = q*p + 2, 5*w - 4 = p. Are w and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 700\/9 + -78. Which is the nearest to 1\/4? (a) -3 (b) 21 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - -1*sqrt(130)*-4 - -2*sqrt(130)*3)\/(4*sqrt(1210) - (sqrt(10) + -1*sqrt(810))).\nAnswer: 3*sqrt(13)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 9*h**2 + 7*h + 11. Let p be s(8). Suppose -p*c + 11 = -13. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 114*g + 2041. Suppose 2*y - 59 = 61. Suppose -4*z = -3*r - r - y, 0 = -4*z - 4*r + 20. Calculate the remainder when p(22) is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1804*t**5 - 153*t - 3 wrt t?\nAnswer: 36080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, k: 1}. Give prob of sequence kii.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 + 154*o - 508. Determine n(72).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -75, -61, -33, 9, 65?\n\"Answer: 7*x**2 - 7*x - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 400616.3 millilitres?\nAnswer: 400.6163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wn when two letters picked without replacement from nxxxnaawxnnnxwnnaaa?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v - 7 + 4*v - v + v**2. Let x(m) be the second derivative of -m**3\/3 + m**2 - 4*m - 183. Determine 2*d(k) + 7*x(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -84 (b) -67652 (c) 17 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 2*o + 3*o - o + 1)*(-3*o + o + o).\nAnswer: -o**3 - 4*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -41. Let i = -12 + a. Let v = -13.000005 + i. What is v rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352602?\nAnswer: 2, 3, 19, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19703444?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 + 6*f - 2. Is c(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 47 = -1. What is the smallest common multiple of 8\/84 - 1504\/(-84) and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 15, n: 5}. Give prob of picking 2 n.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 49 + 66 = 1744*o - 1739*o, -20 = -4*o for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 0*o - 147853 = 5*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b + 2*b - b. Let n(k) = 108*k. Let p(d) = 37*d. Let x(r) = -4*n(r) + 11*p(r). Give s(x(w)).\nAnswer: -75*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5*v + 12 - 2, -q = -4*v - 17. Suppose 0 = -n - 5, 3*n + 0*n - 915 = -q*r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 3:34 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i = -37*i - 115 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003296 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34 + 55?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -21848\/15, 5\/2, -3 in ascending order.\nAnswer: -21848\/15, -3, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74757.\nAnswer: 3, 24919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 13) to base 11\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*d = -47, -d = -3*r + 2*d + 33. Let z = r + -3. Let u = z - 2. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -5*o - 6*b - 14, -5*o - b - 9 = 0. Is (o\/(16\/12674))\/(7\/(-28)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10)\/35 - 1261065\/(-273).\nAnswer: 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.24 - 1.54. Which is the closest to -1? (a) -2 (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28555, 28354, 28155, 27958?\n\"Answer: h**2 - 204*h + 28758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35104573311\/2050846 + -12937525\/2462. Let r = 22372 + t. Is r at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -8. Suppose -5*g = -15, -i - 8*g + 9*g + 62 = 0. Let v = i + -61. Solve -v*m = -u - 16 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -239 + 511. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 10. Let g(h) = h + 22*h**2 + h - 4*h**3 - 26*h**2 - 2 + 3*h**3. What is the units digit of g(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.1, 6\/11, 385, 2, -2\/3, 4, 2.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 25\/(-5) + 5 + -4. Let i(p) = 55*p**3 + 25*p**2 + 25*p + 25. Let x(v) = 4*v**2 + 9*v**3 + 5*v - 22 + 55 - v - 29. Give r*i(q) + 25*x(q).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3588023 and 5329?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 8. Let q(i) = i + 7. Give 5*k(a) - 6*q(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5274 - 3541. Let q = -1733.000721 + h. What is q rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16141, 16804, 18597, 22084, 27829?\n\"Answer: 94*k**3 + k**2 + 2*k + 16044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-45)\/(-36))\/(1\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 + -12.05. Let u = 11.93 + l. Let g = u + -0.03. Which is the third smallest value? (a) -2 (b) g (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**2 - 3*y**2 - 4*y**2)*(-5*y + 5*y - 4*y)*(-2*y - 2*y + 2*y) + 0*y**2 - y**4 + 0*y**2.\nAnswer: -17*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((-9 - (-6 + 4)) + 2 + 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sspsxosspssppsxwp. Give prob of picking 3 p and 1 w.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 1. Let g be o(0). Calculate the remainder when g*(1 + (-24)\/(-2)) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -698522 = -72*l + 637294. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146383577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1696213107?\nAnswer: 3, 257, 733339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 16*w. Let j be (-2)\/((-6)\/9) - (-546)\/14. Suppose 21*o - 63 + j = 0. Give q(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1998.97392 to the nearest ten.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -102*w*x**4 + w*x**3 + 3711*w*x + 6*x**4 + 405*x**3 - 4376*x**2 - 2 wrt x?\nAnswer: -2448*w*x + 6*w + 144*x + 2430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.1 and 138134?\nAnswer: 1533287.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 171 + -79. Let v = 79 + -20. Let t = s - v. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26997187 to the nearest integer?\nAnswer: 5196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 0. Suppose 0 = -3*x + o + 13, 4*o = -x + o - 9. Suppose -3*c - 11 + 5 = -3*z, 8 = 5*z - x*c. Solve 0 = -w - z + f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/7 - 2668268*g\/7 + 889956764978\/7.\nAnswer: 2*(g - 667067)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(6\/(-18) + 0) - -2. Let q be (3 - (r + -6))*3\/(-6). Sort -1, 87, q in descending order.\nAnswer: 87, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 11:04 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaaa. Give prob of picking 3 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -3*a - 1568 + 1548, 5*a = -6*p - 42 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 1704\nAnswer: -11\/1704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from iiiiiiiiiww.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 4:05 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f = -5*f - 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 599 = 14*s - 17. Suppose -23*x + s = -117. Solve x*j = -7*j + 28 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 - 60952*j**2 - 231340964*j + 6525421168.\nAnswer: -4*(j - 28)*(j + 7633)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o + 1324. Let a(s) = s + 330. Calculate 9*a(t) - 2*g(t).\nAnswer: -3*t + 322","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*(8\/50)\/2. Let w = 3.4 + -1.4. Let l = -0.2 - -0.1. Which is the closest to l? (a) w (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.31 - 0.01. Let p = -74 + 664\/9. Let j = -0.09 - -4.09. What is the closest to p in 0.2, j, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h**3*l*n + 7*h**3*n - 4*h**3 - 116*h**2*l*n - h**2*l - 2*n wrt h?\nAnswer: -24*l*n + 42*n - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 + -185. Let d = n + 215. Suppose f + 0*f - d = 0. What is the highest common divisor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 3. Let s = 23 + f. Let v be (-1 + -4)*(-630)\/(-525) - -9. Solve -v*b + s = 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*i = -5*m + 25, -4*m - 5*i = -22. Let f(h) = -h**2 - 5*h + 9. Let c be f(-6). Suppose -x + g = -5, 0 = x - c*g + 3 - 8. Solve x = m*y - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 31*l - 24. Is j(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001701 to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 24*w - 6. Let j(n) = -2*n**2 + 32*n + 8. Let g(h) = 3*j(h) + 4*u(h). Let s(r) = 127*r. Determine g(s(x)).\nAnswer: -32258*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -88, -421, -1328, -3097, -6016, -10373, -16456?\n\"Answer: -48*b**3 + b**2 - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, c: 14}. Give prob of sequence cv.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*p - 16823 + 15383 = 0 for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11225232 is divided by 2806295.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -219737328\nAnswer: -219737315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*y**3 - 129*y**2 - 78*y + 24.\nAnswer: -3*(y + 1)*(y + 4)*(9*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -g - 62. Let n be (-9)\/(-45) - g\/5. Calculate the highest common factor of n and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*j + 91, -2*j - 2*j = q - 25. Let g = q - 14. Suppose -53 = -3*f + 6*n - n, -g*f = -4*n - 52. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 382411 + 60*u + 2*u**2 + 20*u**3 - 382411 wrt u.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 11:48 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(-7) - (10 - 2765\/(-294)) and 61\/1376.\nAnswer: 4128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96.00305 + -96. What is j rounded to 4 decimal places?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*v - 3*l, 5 = -24*v + 19*v + 4*l. Let h(m) = -m**3 + 1. Let x(o) = 4*o**3 - 3*o**2 + 1. Let a(p) = v*h(p) + x(p). Factor a(y).\nAnswer: (y - 2)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144365, 288730, 433095, 577460, 721825, 866190?\nAnswer: 1010555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**6 - s**3 - s**2 + 1. Let z(b) = b**6 + 4*b**3 - 2*b**2 - 4. Let v(p) = 4*j(p) + z(p). Find the third derivative of v(i) wrt i.\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40334 (base 5) to base 2.\nAnswer: 101000100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by -32.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/15 in 0.1, 1, 0.15, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158245 - -236645. What is y rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -23*a**2 - 4. Let d(g) = 1080*g**2 + 189. Determine 4*d(l) + 189*r(l).\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 4. Let j(c) = 2*c**2 + c - 1. Let b be (14\/(-3))\/((-46)\/69). Let a(r) = 13*r**2 + r - b*r**2 - 7*r**2 - 1. What is z*j(n) - a(n)?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1758109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 33. Suppose -x = -4*y + 2. Let z(b) = -y*b**3 - b**2 + 6 - 10 + 4*b**3. Give z(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ad53c + 1?\nAnswer: ad53d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 10. Let r = 10 - s. Suppose 3*t - 11 = -4*i, 7*t - 2*t - 15 = -5*i. Sort r, t, 3 in decreasing order.\nAnswer: 3, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -17 + (47 - 38) - ((-28 - -13) + 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h**3 + 2816603*h**2 + 3*h + 135690304 wrt h.\nAnswer: -3*h**2 + 5633206*h + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f - 3 - 15. Suppose -2*l - 5*s = -597, -f*l - 4*s = -7*l + 1575. Is 31 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 384 and 36089520?\nAnswer: 288716160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 51, 92, 133?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-112)\/(-364))\/(2\/(-91))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 12 - 35 + 13 - 22*l + 11. What are the prime factors of m(-5)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 375.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 963 and -103?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 3\/158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/10 - 0)*20\/(-5200)*-13.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10749*q**2*s**2 + 3*q**2*s + 35866*q*w + 5*s**2*w wrt s.\nAnswer: -21498*q**2 + 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 95 = -2*t - 3*a, -4*a - 12 = 0. Let d = -22 - t. Let f be 1 + 1 - d\/8. Is 0 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 7 + 0*q - 5*q - 7. Let x(o) be the second derivative of -o**5\/12 + 45*o**2 + 9*o. Let r(i) be the first derivative of x(i). What is c(r(s))?\nAnswer: 25*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16.37, 2\/57337, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*20\/1200*4\/(-3).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1155)\/275*(-20)\/7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10295878 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1440, 10.2, 0.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/11 - 104972*i\/11 - 104974\/11.\nAnswer: 2*(i - 52487)*(i + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3665093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 565 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14425135 (base 6) to base 11\nAnswer: -312784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 117 * 0.1\nAnswer: 11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-20))\/(56\/50 - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6302 and 812452.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 3, -3, 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2593?\nAnswer: 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyhyyhy. Give prob of picking 1 y and 2 h.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159613.\nAnswer: 17, 41, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from rqrrrrrrrrrrra?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i**3*o + 21963*i**2*o + 19*i*o**2 - 275524*o**2 - 8 wrt i.\nAnswer: 6*i**2*o + 43926*i*o + 19*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71\/4 + 10007\/564. Which is greater: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18786 and 3162?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -32. Let j = g + -790. List the prime factors of 2\/(-10) + j\/(-30).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, y: 1, v: 4, c: 6, f: 1}. What is prob of sequence vycf?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-1) - (4 - 3). Suppose 3*u + 3 = -g. Which is the closest to u? (a) -2\/3 (b) -0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4877?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 189138\/16 - 452\/3616 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1560282*g**2 - 14*g - 5348 wrt g?\nAnswer: 3120564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-2) + 1 - -3. Suppose -20 + 8 = -t*c. Calculate the remainder when 2\/c*114\/4 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/(z**(-3\/5)\/z)*z)\/z))\/(z*(z**(2\/3)*z*z)\/z))\/(z**(1\/3)*z*z)**(19\/4) assuming z is positive.\nAnswer: z**(-307\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (1 + -5)) + 2 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32001 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/960 and 49\/2304?\nAnswer: 11520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -2*t - 26, -7*p + 383*t - 382*t - 23 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 23 = -2*t, 14*y = 2*t + 15*y - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*v + 120*v = -2*u - 2, -2*u = -2*v + 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 0*g**5 + 0*g**6 + 0*g + 0*g**3 - 1\/48*g**8 + 0 - 6*g**2 + 0*g**7 - 1\/8*g**4. Find the second derivative of v(m) wrt m.\nAnswer: -140*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/96917 and -6\/142525?\nAnswer: 2422925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2695159 from 1.91.\nAnswer: -2695157.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 414 and 77132986?\nAnswer: 77132572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1154 + 4*h**3 - 1154 - 3*h**3 - 3*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2561694 is divided by 3171.\nAnswer: 2697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 294 = 3*t, -t = -4 + 7. What is the remainder when h is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v - 4*v + 0*v)*(v + 2 - 2)*(-5 - 2 + 0).\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4056465 and 567.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 9804493*c**2. Let h(r) = 3*r**2. Give m(h(f)).\nAnswer: 88240437*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2. Suppose 79*f - 78*f = 0. Let h(j) be the first derivative of 9 - 13\/2*j**2 + f*j. What is k(h(v))?\nAnswer: -338*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 1065717.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(-10) - -1*((-1168468)\/(-40) - -7)?\nAnswer: 61, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 39.6. Let l = 21 - 16. Let p = i - l. What is the nearest to -0.1 in p, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 3. List the prime factors of z(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*-1*5*3)**2 + 5 + ((sqrt(13)*3 - sqrt(13)) + 0 - (3 + sqrt(13) + -1 + sqrt(13))) + 5.\nAnswer: 2933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 129a6 (base 13) in base 10?\nAnswer: 34612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/50 and 38\/42057965?\nAnswer: 420579650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -7*l**4 - 21*l. Let u(t) = 7*t**4 + 20*t. Let j(z) = 6*b(z) + 7*u(z). What is the second derivative of j(s) wrt s?\nAnswer: 84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 406896 and 80?\nAnswer: 2034480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 - 6*i**4 + 4*i**4)*(3 - 5 + 4) - 4*i**4 + 5*i**4 - 3*i**4 + (0*i + 4*i - 2*i)*(-2*i**3 - 2 + 2).\nAnswer: -10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 41. Let n be 9\/2*(10 - g). Let j = -5 - -16. Is n greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 261 - 643467?\nAnswer: -643206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -737489, -1475052, -2212653, -2950310, -3688041, -4425864?\nAnswer: -5163797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*z + 102*z - 15*z + 530 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3127 = -26*x + 3491 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10989 and 444.\nAnswer: 43956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**14)\/(g*g*g*g\/(g**(-11\/4)*g)*g*g)*((g\/(g*g**8))\/g)**49)**(2\/169) assuming g is positive.\nAnswer: g**(-1735\/338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (7 + -3))\/(6\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4363, -17459, -39285, -69841, -109127, -157143?\n\"Answer: -4365*n**2 - n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2902983 and 627672?\nAnswer: 23223864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 + 3. Let u(l) = -l**3 + l. Suppose -2 = 3*a + 2*t - 3*t, 0 = a - 5*t + 24. Give a*x(f) - u(f).\nAnswer: 3*f**3 - f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 639209727 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*v = 58 - 282. Solve -3*b = 12*g - 11*g - 1, 4*b + v*g = -4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99 - 97. Suppose o*g + 8 - 34 = 0. What is the greatest common factor of g and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1) + (36 + -92 - -65) - (-35 + 2)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**18)\/(u**(-9)*u))**(-2\/41) assuming u is positive.\nAnswer: u**(-54\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/375 - 776\/4875. Let s = -7 + 4. Let q be (-188)\/(-46) + 6*5\/(-345). Which is the closest to s? (a) o (b) q (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9701916403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 14*g + 16.\nAnswer: -2*(g - 8)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*s - 134 = -126*s + 51*s + 8*c, -3 = -c - 22 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + ((-1)\/(-2) - 1). Let k(d) = 6*d**2 - 15*d + 17. Let q be k(6). Let m be q\/(-390) + 6\/(-45). Put -1, m, 1\/5, p in descending order.\nAnswer: 1\/5, m, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*q + 26139718 + 48613699, -j + 4*q + 14950669 = 0. Suppose -5*g = -2599315 - j. What is g rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 42)*(3 + -2). Suppose 5*d - 67 = q. Suppose 2*x - 142 = -3*n, -5*x - 3*n = -x - 272. What is the remainder when x is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 22.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (2 + 0) - (11 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-1\/3)*s*s*s**(-16))\/(s*s*s\/(s\/(s*s**4))*s)**(2\/29))**(-6\/13) assuming s is positive.\nAnswer: s**(2242\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 30 = -12*f. List the prime factors of (6\/(-10))\/(f\/(-4125)).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0*o)**(-1\/22)*(o\/(o*o**(1\/8)))\/(o**(-8)\/o) assuming o is positive.\nAnswer: o**(777\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16628, -19983, -23316, -26615, -29868, -33063?\n\"Answer: 2*k**3 - k**2 - 3366*k - 13263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*y = 300*y + 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 286897211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - w**3 + 2*w**2 - 221*w + 428*w - 224*w in the form a + z*w + f*w**3 + m*w**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 5*t + 603. Let d be q(0). Calculate the highest common factor of d and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -112490.\nAnswer: 4\/11249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2089 + -5558. Let x be (-7 - w)*125\/(-4). Let o = x + -881250. What is o rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (137\/(72884\/(-840)))\/(-10)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-6))**(-23))**(-2\/33))**(-24) assuming h is positive.\nAnswer: h**(-2576\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 1, 5, -664, -2\/25?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-1) - 2\/(-1). Let z be (-15)\/(-25)*5\/1. Find the second derivative of -3*c**z + 4*c**k + 5*c - 2*c**3 wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**3 + 3*q**3 + 4 + 1 - q**2 - 6*q**2 - 10*q. Let f be s(-5). Find the second derivative of -4*m + 0*m + 6*m**f - 16*m wrt m.\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 560 - -4713?\nAnswer: 4c73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5548\/781 + -12\/71. Let h = 8218\/1133 + c. Is 1 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-24)\/(-20)*50\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25181*v - 42918 wrt v.\nAnswer: -25181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 356324*s**2 + 31206*s - 4 wrt s?\nAnswer: 712648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 - -1222331?\nAnswer: 1222313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(((sqrt(110)*1 - sqrt(110)) + sqrt(110))\/sqrt(11)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((6 - -5) + -66)\/(-1) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9619830 divided by -2214?\nAnswer: 4345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*130\/(-663)*-17.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2697457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6037 and 47.\nAnswer: -283739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -101111?\nAnswer: 101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3960\/(-180)*(-2)\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-94) - 154616\/306722.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708325 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, g: 2, d: 2, i: 2, z: 5, m: 1}. What is prob of sequence gl?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**2)**(-42))**42 assuming r is positive.\nAnswer: r**(-5292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.72 + 1.72039. What is q rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3616.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20021337 divided by -21.\nAnswer: -953397","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + m + 1360 - 1247 = 0, 5*o = 2*m + 284. What is the remainder when o is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-30 - (-2 + -16) - 0)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 445228520 and 8360.\nAnswer: 445228520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -42.523 + 403823748\nAnswer: 403823705.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 24. Suppose 2*b - 4*b = 2, p*w + b - 5 = 0. Calculate the least common multiple of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 5:54 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113586*v - 113586*v + 41340*v**2.\nAnswer: 41340*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18045, 0, 0.0203?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n - 4*n + 3 - 1. Let g(i) = -6*i + 10. Let f(l) = -3*g(l) + 16*y(l). Is f(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltlvvvlvt. Give prob of picking 2 t.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 212 and 901.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3 + (-4 + 8 - -2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582301 is divided by 197.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1332?\nAnswer: -1\/1332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/(-180) - 32\/(-15). Sort -3, 43, n in increasing order.\nAnswer: -3, n, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*q**4 - 8*q**2 + 2*q + 1868?\nAnswer: -8*q**3 - 16*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14687631 is divided by 205.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2866461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 + -51 - (22 + -26 + -9).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 4, n: 3, j: 5}. What is prob of picking 1 j and 1 w?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-10) - 1\/(-2). Put z, -3, 2 in decreasing order.\nAnswer: 2, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21543778*j**3 - 2*j + 2*j + 21543780*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11402 + 244040?\nAnswer: 310442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w. Let g(n) = 60*n**2 - 22*n - 4. Calculate g(d(q)).\nAnswer: 1500*q**2 + 110*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/72, -0.5, 0.0165?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31359564 and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52.18 - 0.82. Let o = 52.7 + f. Let z = -0.5 - -5.5. What is the third biggest value in z, -0.03, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 16*w + 962. Let f be h(32). Put f, 1, 3 in decreasing order.\nAnswer: 3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113821419?\nAnswer: 3, 19, 1996867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 17 - 9 - 1 - 6 + 1051*w.\nAnswer: 1051*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 11*u - 17*u)*(-5 + 0 + 5*u + 2) + (-1 + 4 - 2)*(0*u**2 + 0*u**2 + u**2) + 3*u**2 + 0*u**2 - 2*u**2 - 4*u**2 + 3*u**2 + 2*u**2.\nAnswer: -117*u**2 + 72*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753441303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22784850623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 768 = g - 5*g. Let b = g + 269. Calculate the greatest common divisor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((46\/345)\/((-5)\/(-60)))\/(6\/(-105))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31\/111 + 483\/37. Solve 4\/3*x**2 + 100\/3 + v*x = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9404? (a) -0.3 (b) 0 (c) 184 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1053) + 0 + sqrt(1053) + 0 - -6*(3 + sqrt(1053))) + -4 + -1*(sqrt(1053) + -1 + 1))**2.\nAnswer: -51793 - 1764*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -4, -142, 3 in ascending order.\nAnswer: -142, -4, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13620*u + 6*u**3 - 13620*u.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1937522 to the power of 1\/2, to the nearest integer?\nAnswer: 1392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + a**2 + a. Let j be z(0). Suppose -l - 4*l = j. Solve l = -4*x - 4 + 16 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 946 = 8*a - 9*a, 1886 = 2*h - 4*a. Calculate the highest common factor of 221 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 - 2*t + 9. Let j(p) = -3*p**2 + 3*p - 9. Suppose 3*i + 38 = 4*i - 5*x, 2*x + 14 = 0. Give i*d(h) + 2*j(h).\nAnswer: 3*h**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -243.6 + 518.42. Let k = c + -278. What is k rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 2*q - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*((s\/(s*s**22*s*s))\/s)\/s))\/(s\/(s\/((s\/(s\/(s**(-16)\/s*s)))\/s))*s))**(10\/17))**(2\/69) assuming s is positive.\nAnswer: s**(280\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1192 and 230872.\nAnswer: 34399928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**3 - d**4 - 3*d**3 + (2*d + 2*d - 5*d)*(-4*d**3 - 2*d**3 - d**3) + 2*d + 2*d**4 - 2*d in the form h + z*d**3 + b*d**2 + k*d**4 + j*d and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/20)\/((-56)\/(-210)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/128)\/(30\/720*-5*18\/45).\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/13268 and -73\/99510?\nAnswer: 199020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 95376231 to the power of 1\/2, to the nearest integer?\nAnswer: 9766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 456 - 288. Let g be (1*2)\/(k\/12). Find i, given that -g*i**3 - 2\/7*i + 3\/7*i**2 + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -116169*t**5 - 17*t**4 - t**2 - 22056153*t.\nAnswer: -2323380*t**3 - 204*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/7 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 1003011055?\nAnswer: -1003011104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -0.95.\nAnswer: -1.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 71*x**5\/60 - x**4\/12 - 13*x**3\/3 - 38*x**2 + 1. What is the tens digit of y(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 3. Suppose -4*c = -9*c + 5. Let l(r) = 191. Let n(y) = -24. Let q(o) = -l(o) - 8*n(o). What is c*j(u) + 5*q(u)?\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 734 + 6*c**6 - 734 + 26*c**2 + c wrt c.\nAnswer: 720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 7) in base 14?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + 0.3. Suppose -8*i - 8*i = 8*i. Which is the nearest to i? (a) d (b) 2\/3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, -56, -101, -31, 0.\nAnswer: -101, -56, -31, -5, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 12:24 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 705 + -705. What is the nearest to i in -4\/3, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37545564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/5)\/l*l*l*l**(2\/33)*(l**3\/l)**(4\/15))**36 assuming l is positive.\nAnswer: l**(3948\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 93 + -86. Which is bigger: 53\/7 or o?\nAnswer: 53\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-36)*3)\/1*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103*f - 226*f + f)*(-6 + 1 + 3)*(0 - 2 + 0).\nAnswer: -1312*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (340\/25)\/(1\/(10 - 5)). Solve 8 = -z*b + 66*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3135 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 2*i**3\/3 + 5*i**2\/2 - 5*i + 4. Let d(x) = -2*x. Determine d(p(u)).\nAnswer: -8*u - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -191 - -15*18744\/1980.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-2)*330\/3. Let h be 2\/(u\/(-108) + -1). Suppose 3*o = -o + h. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -86*s + 2580. Let m be z(30). Solve 3*r + 6 = 0, -4*h + 8*h - r - 18 = m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 20*o - 49. Determine q(-20).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 74 = 6*h - h, 46 = 3*h - f. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2318894190 rounded to the nearest 100000?\nAnswer: -2318900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-18)*(123 + 7595\/(-62)))\/((-1)\/(-21)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4809\/5 or -961?\nAnswer: -4809\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 + -3)\/(-3) - (2 - 1). Solve -s = k, 0 = g*s + k + 4*k + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c**2 + 2226*c + 2657. Determine y(-444).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 e, and 1 u when three letters picked without replacement from {w: 2, e: 2, t: 1, u: 3, x: 2, n: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 60940 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/524093?\nAnswer: -2\/524093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (-5)\/10)\/((-6)\/52). Let f(g) = 9*g**2 - 4*g - 6. Let n(k) = 8 + 195*k**2 - 21 - 9*k + 0 - 176*k**2. Give d*f(h) + 6*n(h).\nAnswer: -3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-8)*(-128)\/(-4). Suppose c - 3*c = -p. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -14*i**3 - 28*i**2 - 42*i - 18. Let k(p) = 56*p**3 + 113*p**2 + 161*p + 69. What is -23*h(t) - 6*k(t)?\nAnswer: -14*t**3 - 34*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -10*k**2 - 14*k - 3. Let l(o) = -16*o**2 - 14*o - 3. Determine 3*b(f) - 2*l(f).\nAnswer: 2*f**2 - 14*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.83 - 6.73. Which is greater: -1.14 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.495 + -1.495. Sort 0.39, -3\/4, -2, w.\nAnswer: -2, -3\/4, 0.39, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2+10904\nAnswer: 10902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**2 + 6*d - 2. Let q be 3\/12*6\/12*8. Let l be x(q). Which is bigger: 4\/11 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or -51939?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + j = -4*u + 4, 2*u - 2*j = 12. Solve 4 = p + 2*n + u*n, 0 = 2*p - 4*n + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 11, 0 = -3*s - l - 116 + 111 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 1533, -2\/3, -0.2, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.002, 0.2, -0.9, 6.97 in increasing order.\nAnswer: -1, -0.9, 0.002, 0.2, 6.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 2*t = -4, -t + 4 = -m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -9 + (-1 - -9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 64898 and 6?\nAnswer: 389388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264273*z + 0 - 6 - 2 + 11.\nAnswer: -264273*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from wlw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 10*c + 259. Let u be m(-9). Which is smaller: 168 or u?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 0*h**4 + 0*h**5 + 0 - 1\/120*h**6 + 0*h - 1\/6*h**3 + h**2. Find the first derivative of l(u) wrt u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y + 7*y - 2*y - 6*y + 2*y**2 + 29 to the form z + i*y + x*y**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1937, -1935, -1933, -1931, -1929?\n\"Answer: 2*u - 1939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**5\/30 + i**2. Suppose 2*c - 4*c + 6 = 0. Let k(z) = -4*z - c*z + 6*z + 2*z. Give q(k(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16188050*r**2\/3 - 1274560*r\/3 - 25088\/3.\nAnswer: -2*(2845*r + 112)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -7*d + 6. Let a be 24\/14 - (-2)\/7. Suppose 80 = 2*i + a*i. Suppose 0*w + y = 5*w + i, 0 = 2*y + 10. Let l(t) = 6*t - 5. Calculate w*l(g) - 4*x(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + (1*sqrt(85)\/(1*sqrt(5)))**2 + 3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 198461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -16. Suppose 4*i = -4, 3*f - 3*i + i - d = 0. Let a = -108573 - -108578. Solve -4*t - a = -f*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5*g. Let n(t) = t. Suppose 2*p - 11 = -m, 2 - 22 = 5*m - 5*p. Calculate m*c(f) + 3*n(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1285058340.\nAnswer: 2, 3, 5, 571, 12503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/33 and 56\/447.\nAnswer: 4917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2 + 6 + 18*x + 33 - 13 - 5. Determine b(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -68*d - 367. Give t(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-9)\/(z*z\/z**42))\/(z*z**24)**(-1\/12) assuming z is positive.\nAnswer: z**(397\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-18) + 50\/(-18). Let y = -3 + 3. Suppose -q + 2 + 2 = y. Put 1, q, v in decreasing order.\nAnswer: q, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -t + 7. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72036131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*f**5 - 2*f**4 - 220*f**3 + 4*f**2 + 110*f - 2 = 0.\nAnswer: -1, 1\/55, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100001 + -101?\nAnswer: 110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(192))*1 - (3*(sqrt(192) + 3) + sqrt(192))*1)**2.\nAnswer: 1440*sqrt(3) + 19281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-6)*-2*20\/15. Find the third derivative of -10*o**2 + 66*o**3 - q*o**2 + 132*o**3 - 124*o**3 - 7 wrt o.\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 359440 by 179720.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 20 = 2*b. Suppose b*o = -o. Round o to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**2 - 175*x**2 - 24*x**2 + (4*x - x - 4*x)*(1 - 1 - 2*x) + (x - 3*x + 0*x)*(x + 4 - 4) - 5*x**2 + 0*x**2 + 2*x**2.\nAnswer: -207*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q + q**3 - 2*q)*(0 + 0 - 1) - 6*q**3 + 62*q - 2*q**3 + 5*q**2 - 64*q in the form o*q**3 + m*q + k + v*q**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357 - 369 - 358 - 361 + 1445 + 14*t.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**5 - 36813*a**4 + 882216*a**3 - 5290704*a**2 = 0.\nAnswer: 0, 12, 12247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 4, 0.1, 0.01, -1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 168.\nAnswer: -1\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -522?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88209533.\nAnswer: 19, 4642607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.426654 tonnes in milligrams?\nAnswer: 8426654000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*o + 2461*o**2 + 38*o + 13 + 142*o**2.\nAnswer: 2603*o**2 - o + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87 - 87 - 7*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200 - 210?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 602 + -597. What is the nearest to -1\/4 in 4, k, -5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2018474 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 6:53 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22329 and -3.\nAnswer: -66987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -168564 divided by 6\nAnswer: -28094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4118361 is divided by 292.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-770)\/(-63) - -2*2\/(-18) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 2*m - 37. Let n be k(-6). Let u be n\/(-4 - (-155)\/40). Let v = 199 + u. List the prime factors of v.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 277228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -14*m**2. Let d(h) = 336*h**2. Let f(i) = 2*d(i) + 49*z(i). Let s(n) = -n. What is f(s(v))?\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, e: 5, r: 2}. What is prob of picking 1 e and 1 r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 24*f**2 - 17*f + 94. Is c(25) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3459\/4 or -866?\nAnswer: -3459\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(-10)\/10 + 5 + 1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2\/10 + 3254*p\/5 - 6509\/10 = 0. Calculate p.\nAnswer: -6509, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.7, -2162, 59?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from vllvl?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1185*a - 891*a + 2519*a)*(0 - 2 + 1)*(2*a - 3*a + 0*a).\nAnswer: 443*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -627, -2546, -5717, -10110, -15695, -22442, -30321?\n\"Answer: 5*o**3 - 656*o**2 + 14*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/89)\/d**(-3)*(((d*d*d*((d**9*d)\/d)\/d*d)\/d)\/d*d)\/((d\/d**(-20))\/d) assuming d is positive.\nAnswer: d**(-536\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 41241131 + 3?\nAnswer: 41241134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3913 and 140?\nAnswer: 78260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16 - -1) + (128 - 121). Calculate the greatest common factor of y and 5196.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 845768, 1691531, 2537292, 3383051?\nAnswer: 4228808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - 58*s + 893. What is the remainder when 482 is divided by g(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 58595.493 to the nearest ten.\nAnswer: 58600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 126 + (19 - 11 - 8). Suppose 5*o = 4*k - 15, 0 = k + 3*o + 14 - 5. Suppose 14 + k = f. Calculate the highest common divisor of f and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.46501 nanometers to meters.\nAnswer: 0.00000000246501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 19 = -5*j, -5*j + 4 + 21 = -5*x. Suppose 4*f - 378 = -2*p, -j*f + 4*f + p = 92. What is the remainder when f is divided by 1 + 2 - (281 + -311)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 divided by 19?\nAnswer: 270\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -895.6 - -821. Let p = k + 74.5998488. Round p to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 10:11 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) 0.2 (c) 1 (d) -236 (e) 0 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5778637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000262787515 to 5 decimal places.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -827224 take away -4?\nAnswer: -827220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 34. Let l(g) = 4 + 5 + 14*g - s*g. Let c be l(-4). What is the nearest to 3 in c, 0.5, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 0.09, -2 in ascending order.\nAnswer: -58, -2, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11022002020020212 + -112?\nAnswer: -11022002020021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -20*g**3 - 563*g**2 - 83*g - 381. Calculate k(-28).\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7140*u**5 + 165*u**4 + 683*u**2 + 16*u - 17.\nAnswer: -428400*u**2 + 3960*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, k: 6, u: 3, a: 4, j: 4}. What is prob of sequence ja?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.451907 to 3 dps.\nAnswer: -0.452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -2\/25 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 43, 136, 275, 466, 715?\nAnswer: 1028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + y**3 - 3*y**2 - 5*y - 7*y**2 + 4 + 11*y**2. Calculate l(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.03 (c) -385\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -120 - -120.5. Let f(j) = -j - 8. Let h be f(-11). Let w be -2 + ((-28)\/(-6) - h). Put w, b, -0.3 in ascending order.\nAnswer: w, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, j: 7, d: 11}. What is prob of picking 1 d and 2 h?\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) + (sqrt(171) + -1 - sqrt(171))*-6 - sqrt(171) - sqrt(171)) - (0 + (sqrt(171) - (sqrt(171)*2 + sqrt(171)))))**2.\nAnswer: -144*sqrt(19) + 2772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 562*s + 1304 - 548 = 682*s - 1764 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - ((-698)\/(-17) - 1). Let d be 4\/24 - 43382\/(-1122). Let n = l + d. Calculate the common denominator of -73\/4 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-2 + 3\/1). Suppose -5*p - 2*f + 11 = -13, 2*f = k*p - 8. Suppose 40 = 4*w + 4*b, -2 = -2*b - p. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -2542550443?\nAnswer: -2542550441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 0.08, 23\/3, 33, -2\/3.\nAnswer: -2, -2\/3, 0.08, 5, 23\/3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92603?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*l**2 + 4*l**2 + 14*l**2 - l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10300128 to the power of 1\/2, to the nearest integer?\nAnswer: 3209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, h: 3}. What is prob of picking 1 z and 3 h?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = d - 3*q - 26, -364 = -5*d + 3*q. Suppose 4*y + r = 306, -11*y + 10*y + r + d = 0. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2309163, -4618327, -6927491, -9236655?\nAnswer: -11545819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 274 and 336746.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -176299\/4760 + -52\/595. Let d = 37 + u. Put d, -2, -2\/21 in increasing order.\nAnswer: -2, d, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a micrometer in nanometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89 - 95. What is the units digit of (6\/(-5))\/((-7)\/(-3640)*d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**2 + 2*i + 19. Let z be n(5). Let m(p) = -254*p + z*p + 127*p. Give m(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(-1))\/2 - -2. Let o = 128 - 116. Suppose o = -2*m - d*m. Sort 4, m, 3 in decreasing order.\nAnswer: 4, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*1 - sqrt(80)\/(1*sqrt(10)))\/(sqrt(12)\/sqrt(3)*-2 - sqrt(400)*-2)*-4.\nAnswer: -8*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31270239 + -4539761. What is f rounded to the nearest 1000000?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10151 - -10136. Which is the fourth smallest value? (a) -0.01 (b) -0.4 (c) -2\/15 (d) w (e) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4844515, -9689026, -14533537, -19378048?\nAnswer: -24222559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5210770 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 5323.\nAnswer: 5322.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**6\/720 - q**5\/30 + 7*q**4\/12 - 14*q**2. Let w(g) be the second derivative of y(g). Give w(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 + 270. Let x = k - 31. Is x a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16778879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/81 + 1 + (-21)\/27.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/4 + 94197*k - 376791\/4.\nAnswer: 3*(k - 1)*(k + 125597)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1082?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/8)*b**10)**(2\/33) assuming b is positive.\nAnswer: b**(27\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 0.0859215115?\nAnswer: 0.3140784885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81\/(-27) + (9\/(-2))\/(-1)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*b = 7. Let r(v) = 5*v**2 + v - 6. Let c(w) = -1. Determine b*r(i) - 6*c(i).\nAnswer: 5*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2541 is divided by 837?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 492088 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24.60707 or 20?\nAnswer: -24.60707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 5*u - 340 + 381 = 0, -19*n = -u + 81 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7*t**3 - 4*t**2 + 25*t + 37. List the prime factors of v(-6).\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - l + 4*l)*(-5 - 4*l + 3 + 6*l) as t + d*l**2 + c*l and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**2\/2 + 58. Let p(t) = -t - 3. Let a(j) = p(j) + 2*x(j). What is a(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 805353 to the power of 1\/2, to the nearest integer?\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -72.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104967884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-7)\/(b*b\/b**(1\/2)))**47)**25 assuming b is positive.\nAnswer: b**(-19975\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -34 + 9 + -17 + 35 - 15\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4d4d (base 16) in base 2?\nAnswer: -100110101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = 13 + 17. Let b be (-3 - (w - -3)) + 581. Suppose 2*p + 60 = b. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 24 (b) -0.1 (c) -1\/3 (d) 1 (e) -6.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w - 2. Let d(s) = 8*s - 20*s + 7*s + 6*s. Calculate r(d(x)).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 44 + 51. Suppose 0 = -3*o + 2*g + 3*g + v, g + 9 = o. Let k = 409 - 372. What is the remainder when k is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a day in seconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/19, 1\/7, -27\/103, 0.87 in decreasing order.\nAnswer: 0.87, 1\/7, 2\/19, -27\/103, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzhzzchgc. What is prob of sequence zcz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -46*h**2 - 12*h - 16. Determine y(-1).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23732038 = -2*q + 2*f, -f + 2*f + 47464056 = -4*q. Suppose r + 0*r = -26866015. Let y = q - r. Round y to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, t: 4, z: 5, o: 2, f: 4}. What is prob of sequence tzz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 346659.9202 to the nearest 100.\nAnswer: 346700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 807845*k**2 - 32645617200*k - 1206782149860.\nAnswer: -5*(k + 37)*(k + 80766)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11781787 a multiple of 1524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -173 + 535. Let a = -362.0584 + o. Is a greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134713 * 0.08852\nAnswer: -11924.79476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*v + 2657 = 37537 + 13942. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21 - -1)\/(1\/22 + ((-6240)\/(-660) - 10))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21330?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 6*a + 53. What is x(24)?\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3682365 or 18411832\/5?\nAnswer: 18411832\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-59)\/(826\/(-14))*31\/(-1).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/10 of a century?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -11*b - 28. Calculate l(-13).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14a (base 13) to base 2\nAnswer: -11100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000029617 rounded to 7 dps?\nAnswer: -0.0000296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/450364 and -31\/27676?\nAnswer: 4954004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 + x**2 + x - 6. Let u(p) = 10*p**3 - 6*p**2 - 5*p + 32. Let b(s) = -11*m(s) - 2*u(s). Determine b(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b. Let i(o) = -26*o + 1. Give -i(g) - 5*q(g).\nAnswer: 21*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*y - 50 + 135 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.291 to two dps.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*k = 422*k + 77*w + 6, 4*k - 4*w + 12 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 10. Suppose 4*p - p - 21 = -2*c, 0 = -2*p + b*c + 14. Let z = p - -10. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*x + 10 = 92*x - u, -x - 4*u = -28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23118964 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 36 = -0. Let m be (-48)\/r*(-6)\/8. Is m\/5 + 66\/10 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**6 - 127*o**4*p**2 - 2*o**2*p**2 + 8*o**2*p - 3*p**2 wrt o?\nAnswer: 240*o**3 - 3048*o*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1292467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-48997)\/(-923) + (-276)\/3266\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 1:17 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 3 + 2 + 4)*(-d**2 + 4*d**2 - 5*d**2).\nAnswer: -4*d**4 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1721892 and 426.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 2259599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 0.5 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -27455 divided by -1\nAnswer: 27455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3474 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*2\/3 - -10. Suppose z = 5*l - 14, -3*z + f*z = -12. Factor -2\/11*u**3 + 2\/11*u - 6\/11*u**l + 6\/11.\nAnswer: -2*(u - 1)*(u + 1)*(u + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4771975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.50926 tonnes in micrograms?\nAnswer: 35509260000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j - 16 + 2 - 5*j. Let o be d(-7). Let x(t) = -5*t + 54. Let c be x(12). Which is smaller: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5100148 * 8.\nAnswer: -40801184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*((-4)\/3 + 2). Let u = 3 - 1. Is f greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1372)*1 - sqrt(196)\/sqrt(7)*6)\/((sqrt(576) - -5*sqrt(576)) + sqrt(576) - 4*sqrt(16)).\nAnswer: sqrt(7)\/76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 20. Calculate the least common multiple of y and 26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7*x**2 + 3*x - 5. Let p be (-3)\/(2 + 1 + -2). Let o(i) = 4*i**2 - 2*i + 3. Let y(l) = p*z(l) - 5*o(l). Find a such that y(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + c - 3*c + c. Let h(s) be the third derivative of -s**7\/2520 + s**4\/24 - 3*s**2. Let d(v) be the second derivative of h(v). What is j(d(g))?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h + 16. Let b(w) = w. Let k(j) = -8*b(j) - y(j). Let o be k(-6). Solve c - 3*c = -o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 13916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u + 373818. Let m(o) = o. What is q(m(d))?\nAnswer: 5*d + 373818","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*u**2 + 8 - 8 - 2.\nAnswer: 90*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5\/7 - 15616*p**4\/7 + 454336*p**3\/7 - 1645516*p**2\/7 + 1990498*p\/7 - 783700\/7 = 0. What is p?\nAnswer: -7837, 1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ra when two letters picked without replacement from ccarcccccccaccccrar?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*m - 37765 = -45*m. List the prime factors of m.\nAnswer: 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 373 - 224. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - p - 18 = 0, 1 = f + 120*p - 122*p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3755.\nAnswer: 5, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 6*q**2 + 3*q + 18. Let h be i(-6). Suppose h*o + 70 = d - 2*o, -2*d - 5*o = -176. Calculate the smallest common multiple of 33 and d.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, r: 3, z: 2, q: 5}. Give prob of picking 1 r and 3 q.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (-10 - -4) - -17. Solve 3*z + 1 - 3 = -2*x, -4*x + a = -2*z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**2 + 77*f - 176*f + 99*f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 8*m + 20. Suppose -2*o - 289 + 39 = -5*z, -5*o - 79 = -2*z. Calculate the lowest common multiple of z and m.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 1454*q**2. Let i(g) be the second derivative of -g**4\/12 + 444*g. Determine o(i(m)).\nAnswer: 1454*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(((-1)\/1)\/(-43)). Let n be -7 + 10 + t\/(-114). Is -1 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30450?\nAnswer: 2, 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 + -0.44. Let m = 207 + -210. Put m, -2\/13, k in decreasing order.\nAnswer: -2\/13, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 118 + 4?\nAnswer: 11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 804100.2 litres?\nAnswer: 804100200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11798.\nAnswer: 2, 17, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fttfttffvvvvtttf. What is prob of picking 2 v and 1 f?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - a - 55, 2*a - 1 + 11 = 0. Let d be 4\/3*(-27)\/k. Factor 24\/5*r + 8\/5 + d*r**2.\nAnswer: 2*(3*r + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*s + 6. Suppose 5*u - s = m, 5*m = -0*u + 4*u - 9. Does 16 divide (-32)\/6*18\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -u. Suppose 4*z + 5*g = -4 - 21, 6 = 2*g. What is the smallest common multiple of u and (8\/z)\/((-4)\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 1. Let c(j) = j**3 + 21*j**2 - 1. Let x be c(-21). Let u(a) = -7*a - 3. Let z(l) = -4*l + 3. Let w be z(2). Give w*n(y) + x*u(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1968)\/(-1435))\/(-24))\/(90\/(-21))?\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 8\/(-72))*-18*(-5)\/3480\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2095 - 55) + (-4)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -12*q + 14. Let b be y(4). Let f = -27 - b. Let s = f - -5. Solve -z - 3*z = -s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 3 = 6*o. Is (2196 - -7)\/(o + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -141, -0.5, 2, -3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5705 times 0.1\nAnswer: -570.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -121, -240, -371, -514, -669, -836, -1015?\n\"Answer: -6*m**2 - 101*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3577 and 7147.\nAnswer: 3652117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*2\/4)\/(-48*(-33)\/79200).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, 4, 3, 6\/83, -2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 516 + 36*z + 369 - 1026 - 31*z.\nAnswer: 5*z - 141","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -k - 2*k. Let f(x) = 2*x**2 - 4*x - 7. Let h(d) = -2*d**2 + 3*d + 6. Determine k*h(n) - 5*f(n).\nAnswer: 2*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1399, 5624, 12657, 22486, 35099, 50484, 68629, 89522?\nAnswer: 113151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 190, 188, 196, 214, 242?\n\"Answer: 5*t**2 - 17*t + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 438493*i**4*r**3 - 2*i**4*r - 38*i**3 - 13*i**2*r**3 - 11*i**2*r**2 - 5*i*r**2 + 31763*i wrt i?\nAnswer: 10523832*i*r**3 - 48*i*r - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26)\/65 + 42996\/(-10). Let v be (-4)\/(-3)*(-91395)\/(-18). Let s = c + v. Round s to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 112528, 450132, 1012798, 1800520, 2813292, 4051108, 5513962?\n\"Answer: -x**3 + 112537*x**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*s + 13 = s, -10 = -2*w - 2*s. What is the second biggest value in 0.2, -0.4, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379179 divided by -126393?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 752 and 24628.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**5 + t**3. Let j(n) = n**5 - 6*n**3 + 4*n. Let a(c) = 6*f(c) + j(c). What is the second derivative of a(s) wrt s?\nAnswer: 140*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**2\/6 - 8495*h\/6 + 1415 = 0.\nAnswer: 1, 1698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n**2 + 282*n**3 + 106*n**4 - 129*n**4 - 280*n**3 + 1 as b*n**3 + w + z*n + v*n**4 + p*n**2 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8860, -8893, -8926?\n\"Answer: -33*q - 8827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times -0.2663\nAnswer: -0.002663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-248)\/40*1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*s + c - 718 = -76, -7*s = 7*s - 9*s - 5*c + 75 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.225 + 0.075. Let w = -0.43 - -0.4. What is the biggest value in w, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41408989 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 13611 = -2973. List the prime factors of q.\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -5 (b) 3.49 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3. Let s be 1\/((-2)\/(-6)) + j. Find the third derivative of 12 - 3*n**2 - s*n**4 - 12 wrt n.\nAnswer: -96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + b**2 + b. Let c(f) = 7*f**3 + 5*f**2 + 6*f - 1. Let y(u) = c(u) - 6*k(u). Let z be y(2). Solve -z*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41788504 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 123\/959 + 2\/137. Sort 2, a, -5 in decreasing order.\nAnswer: 2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1128*r + 1176 = -2208. Let n(j) = 2*j**2 - 3*j - 1. Let y(o) = -4*o**2 + 5*o + 2. Let b(u) = -5*n(u) - 2*y(u). What is b(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 + ((-29)\/(-5) - (-4)\/20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 12*w - 114 + 60 - 13 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -5 + (-8 - -11 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - m**2 + 19 - 107 + 48 + 23.\nAnswer: -m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**3 + 57*d**3 + 13*d**3 + 93*d**3 + 170 - 170.\nAnswer: 154*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 270\/8 + (-11)\/(-44). Let z = y - 23. What is the remainder when 53 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**2 - 70*z + 736. Determine h(9).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1595)\/(-176) - 10)\/((-351)\/1196) and -67\/10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 k when two letters picked without replacement from {n: 1, r: 1, k: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 - f**4 + 0*f**3)*(-1555*f + 2543*f - 1367*f).\nAnswer: 379*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76 (base 14) to base 16.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 1034*m**3\/3 + 2683*m - 3516. Find the first derivative of s(v) wrt v.\nAnswer: 2068*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69017712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 66 = 2*j. Round j to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 0 - 4*w - 2\/5*w**6 - 1\/2*w**3 + 0*w**5 + 0*w**4 + 0*w**2. What is the second derivative of x(z) wrt z?\nAnswer: -144*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -771 - -5?\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 359951760 a multiple of 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176097881.\nAnswer: 176097881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 4*a - 36. Let t be 17 + a + 1\/(0 + 1). Suppose 0 = -4*j - 5*z + 106, t*j + 3*j - 4*z - 64 = 0. Calculate the least common multiple of j and 69.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(144) + (sqrt(26) - sqrt(26)*-1)\/sqrt(2) - (3*(sqrt(104)*2)\/sqrt(8) + 1))**2.\nAnswer: 23*sqrt(13)\/3 + 6913\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 - 138*z**3 - 9*z**2 + 420*z - 276.\nAnswer: 3*(z - 46)*(z - 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-138)\/(-161))\/((-10)\/(-7) + -2))\/(15\/(-330))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*l = 179*l - 1386. Is -69 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2185 or 1962?\nAnswer: 1962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46815 or 46820?\nAnswer: 46815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*r - 5 = 0, 4 = 5*u - 5*r - 21. Let g be ((-64*75)\/(-3))\/(u\/85). Round g to the nearest one thousand.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven halves of a microsecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 2. Suppose m*d - 22 = -2*f, 3*f - 8 = -d - 0*f. Suppose 0 = s - 0*s - d. Put -2, s, 3 in descending order.\nAnswer: s, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*b - 163*b + 124*b = -1869 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65 - 67. Let l be o\/6*(-219)\/(-1). Let a = l + 78. Solve -9 = -4*k - 3*n - 2, -a = -5*k - 5*n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 78*p - 78 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2718 by 1359.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 958324801?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*a - 5 + 24*a**3 + 24*a**3 + 32*a**3 - 108*a**3 + 30*a**3 to the form k*a**2 + d*a**3 + p + m*a and give m.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4757840 to the nearest integer?\nAnswer: 2181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 20*i**2 - 22*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -645 times 247008\nAnswer: -159320160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -718256, -1436495, -2154734?\nAnswer: -2872973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2 + 4*a + 0*a + 3*a**3 - 2*a**3 + 11*a**2 - 4*a**2 - 15. Let g(u) = 44*u + 434. Let k be g(-10). Calculate s(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(-12))\/9*10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-15))\/((55\/(-60))\/11)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 7 = 13*a - 17*a + 3*m, 2*a - 106 = 18*m for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**3 + 54*f**2 - 17*f + 53. What are the prime factors of b(-17)?\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1224) - (sqrt(1224) + 2*sqrt(1224)) - sqrt(1224))\/(sqrt(8)\/(sqrt(4)*-2)))**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 2*q - 22, 10*q - 9*q + 165 + 162 = 41*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**7\/105 - u**6\/15 + u**5\/10 + u**4\/3 - 4*u**3\/3 + 3*u**2. Factor y(w).\nAnswer: 2*(w - 2)**2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -130175?\nAnswer: 130175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/44*0)\/7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1 - 15 = 0. Suppose 0*w - 8 = -r*w. Find the third derivative of 5*f**4 + 8*f**w + 4*f**4 - 5*f**4 wrt f.\nAnswer: 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 1524?\nAnswer: 10668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1504\/(-60)*660\/(-44) is divided by 226.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 21*l**2 - 6*l + 4. What are the prime factors of s(-3)?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-11 + (3 - 0))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (0 + -4) - -5) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.59 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 2*x + 2*x. Suppose 700 = 46*k - x*k. What is the highest common factor of k and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 - 15*y + 7. Suppose -m - 24 = -5*m. Calculate the remainder when r(-7) is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/45 - -1) + 532\/(-210).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 398605592 by -5176696.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4. Let j(i) = 7. Let y(w) = -6*j(w) + 10*l(w). Suppose -126*g + 133*g + 49 = 0. Let q = -1 - 1. Let m(x) = x + 6. Give g*y(o) + q*m(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((16\/3)\/(-4))\/((-14)\/21). Suppose n*d + 0*h = -h + 66, d + 4*h = 26. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + (-42420)\/(-1111) - (-96)\/(-814)*2?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1772 + 1771.93028. Let q = -3 - -3.068. Let w = q + f. What is w rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, e: 4, k: 2}. What is prob of sequence ekk?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 2 - 2*b + 17 + b. Let d be x(15). Suppose 2*z + 14 = d. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - 7*r - 6. Let k be l(-5). Let f = 68 + k. Suppose 2*h = -3*b + f, 4*h - 4*b = -b + 49. What is the greatest common factor of 144 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 12 = -0*h. Suppose 5*u + 103 = k + 75, -u = 4*k - 7. Suppose -y = -4*o + 35, 2*y - k + 37 = h*o. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*z + 112. Suppose -3*j = 2*i - 4 - 12, -j + 5*i = -z. Let f = -4 + j. What is the least common multiple of 2 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11899, 23728, 35557, 47386, 59215, 71044?\nAnswer: 82873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k. Let t(u) be the first derivative of -u**2\/2 + 11. Calculate a(t(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 362 and 13213?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*x - 11 = 4*x, -3*h - 13 = x. Let k(s) = 3*s + 7. Let r be k(-3). Which is greater: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1660 = 5*k, 0 = 4*f - 4*k - k + 3320. Round f to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by 55\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -99.280585 to 1 decimal place.\nAnswer: -99.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = 52*z - 120 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43209 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180378 and 44451.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**2. Let q(k) = -55*k**2 - 11*k. Let f(z) = 11*z**2 + 2*z. Let y(c) = -22*f(c) - 4*q(c). Calculate y(p(m)).\nAnswer: -198*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 5. Let s be y(0). Let q be (-9)\/15*s\/(-14). Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 632767, 632771, 632779, 632791, 632807?\n\"Answer: 2*f**2 - 2*f + 632767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 85972 = 3*j, x = 155*j - 158*j + 42992. What is x rounded to the nearest one thousand?\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 2 (b) 1\/4 (c) -5 (d) -0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -4. Let x = 0.70821 + 1.29179. What is the biggest value in -5, -2\/3, x, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*s - 173422 = -53106, 60162 = z - 2*s. Suppose z = -5*q - 16900. Let l = q - -5512. What is l rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 6*(sqrt(132)*2*6)\/(sqrt(24)\/(sqrt(12)\/sqrt(6))))**2.\nAnswer: 288*sqrt(11) + 57028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89 + -87. Solve a*g - 5*g = 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 9:11 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 43eda0d + -5?\nAnswer: 43eda08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21*-9*(44 - 46). What is the highest common factor of p and 742?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50164559 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 7506?\nAnswer: 7508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, -8, 3 in ascending order.\nAnswer: -55, -8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (-104 + (-63 - -104))?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**2 - 1417 - 458 - 4*r**2 + 3*r**2 - r**2 to the form q*r**2 + o + t*r and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 29*d**3 + 5*d**2 + 5*d. Let x(j) = 102*j**3 + 18*j**2 + 18*j. What is -18*t(r) + 5*x(r)?\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.8 - 0.8. Let s = -0.085 - -35.085. Let z = s + -38. What is the second smallest value in 3, b, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - (2 + 0) - 0. Let x(k) = -5*k**2 - 4*k**3 + 3 - 3*k**3 + 8*k**3. Let d be x(5). Solve 0*l = -2*z + 2*l + 2, -d*z = o*l - 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**2 - 54*z + 114. Let b be w(8). What is the greatest common divisor of 106 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 109.360914876819?\nAnswer: -107.360914876819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.028 and 103193?\nAnswer: 2889.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63296677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -3 (c) 20\/157 (d) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 7:26 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5620669457 to the nearest integer?\nAnswer: 1778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -199 in 2, -18\/31, -2\/11?\nAnswer: -18\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 219 = -21784*n + 21724*n + 78 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + -1 + 10 + 3. Let s = 16 + v. Suppose -4*q + 51 = -l, -q - l - 7 = -s. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -12. Let q = n - -2. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 459221 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 134, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1511036916.\nAnswer: 2, 3, 109, 659, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 9.4 (c) 0.4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8829, 8831, 8835, 8841, 8849, 8859?\n\"Answer: d**2 - d + 8829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 571180942 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30919 + -13638. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132bb7 (base 13) to base 15.\nAnswer: -9246e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 170 - 22 = 0. Let w(f) = 215*f**3 + f**2 - 3*f + 2. Let v be w(1). Let u = q + v. What are the prime factors of u?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 + -70.826. Let n = -0.026 - r. Let s = 1.2 + -1.03. Which is greater: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -10. Let v be z - (-10 + (0 - -3)). Suppose -63 - 17 = -v*h. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*(1 + sqrt(405)))**2.\nAnswer: 72*sqrt(5) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 86*t - 384. Is 32 a factor of n(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -109\/3 - -37. Let g = 7822.7 - 7823. Which is the closest to l? (a) -3 (b) -20 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4 = 11. Let v be -9*((-61)\/33 + 4\/22). Suppose 3*j - v = -27. Which is the nearest to o? (a) -1 (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + i - v - 64 = 0, 0 = -5*i + 2*v + 68. Suppose -1202 = -i*s - 446. What is the remainder when s is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112706441, -225412882, -338119323, -450825764?\nAnswer: -563532205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54816 is divided by 4195.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 11 + 4. Solve 0 = 2*k - s*f - 7, 3*k + 2*f = -2*k - 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7192, 2, -702 in decreasing order.\nAnswer: 2, -702, -7192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 7:08 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 34. Let q = 28 + y. Suppose 28*x = 37*x - 63. Sort q, 0, 5, x in ascending order.\nAnswer: q, 0, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 3:23 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2886411?\nAnswer: 3, 11, 47, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(6336) - sqrt(6336) - sqrt(66)\/(-4*((sqrt(54) - sqrt(6)) + sqrt(6))))**2*4.\nAnswer: 4*sqrt(11)\/3 + 587\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21471589?\nAnswer: 21471589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -38*z - 4005. Calculate v(-51).\nAnswer: -2067","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 0*x + 9*x + 3*x - 1 + 40*x + 20*x. Let b(g) = -3*g**2. Determine f(b(w)).\nAnswer: -216*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -26. Let f be 1*(-6)\/(t\/(-10)). Sort 0.1, f, -2\/3 in increasing order.\nAnswer: f, -2\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9257, -10566, -11885, -13220, -14577, -15962?\n\"Answer: -k**3 + k**2 - 1305*k - 7952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k**2. Let z(x) = -1 - 135*x + 62*x + 75*x + 1. Calculate z(p(t)).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -24*u**2 - 449*u - 24. Determine g(-18).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 8:33 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3511\/118, 3, -3, 0.5 in descending order.\nAnswer: 3511\/118, 3, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d + -4?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17969?\nAnswer: 7, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 + j**2 - 65*j - 2. Let o(i) = -i**3 + i**2 - 2*i + 2. What is o(q) + y(q)?\nAnswer: -3*q**3 + 2*q**2 - 67*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-5))\/((-21)\/(-70)). What is the nearest to -1 in 2, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.167 - -3.167. Sort -8, 1.1, -1, d in decreasing order.\nAnswer: d, 1.1, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qtj. Give prob of sequence tqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -918, 3595, 18920, 50463, 103630, 183827, 296460?\n\"Answer: 901*t**3 - 1794*t - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1275369*w**3 - w**2 - 11*w + 255100901 wrt w?\nAnswer: -3826107*w**2 - 2*w - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0315765657 or 0?\nAnswer: -0.0315765657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(175)*-4 + -2)*4 + 3 + -3)**2.\nAnswer: 32000*sqrt(7) + 1121600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2, -24325, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a**2 - 21*a + 16. Let l be k(9). Is 232 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 175*y**4\/3 - 638*y**3\/3 - 579*y + 2. Find the second derivative of m(p) wrt p.\nAnswer: 1400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b - 12. Let w be x(-14). Solve 4*v + 2 = -2*j - 8, -w*j = 2*v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 543*r + 0 - 541*r + 1 in the form f + x*r and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/4250 and -121\/500?\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*p - 195 = 0, 0 = 61*p - 56*p - 5. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 4\/3, 75, 0.2, 3\/7, 3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkrr when four letters picked without replacement from rrrrrkrrrrrr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, t: 2, x: 3, s: 4}. Give prob of picking 2 s, 1 t, and 1 w.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 0*w**2 - 2*w**2)*(-137*w - 111*w + 1313 - 111*w + 356*w).\nAnswer: 3*w**3 - 1313*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**3 - 6*a**2 - 6*a - 2. What is the hundreds digit of u(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 146 = 3*p. What are the prime factors of p?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 + 166. Suppose -9 = s - j + 18, 4*s + j + w = 0. Find the common denominator of 141\/s + 2\/7 and -21\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2443, 6026, 9607, 13186?\n\"Answer: -z**2 + 3586*z - 1142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 8:42 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/(-42) + 136894230\/4. Let a = 8223557 - q. What is a rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 8*k - 9. Let i be f(-6). Suppose 14 + i = -h. Let u = 49\/3 + h. What is the closest to 2 in 0.3, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -5*m - 560. Suppose 8*y + m = 15*y. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/88*-6)\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 0)\/(((-76)\/8)\/(-19)). Suppose -4*k = 2*u - 108, -x*u - 8*k = -3*k - 108. Calculate the highest common divisor of u and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.65 - 48.35. Let z = 210901\/585 - 4676\/13. Let l = z + -11\/9. Do v and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**5\/20 - 5*z**4\/12 + 4*z**3\/3 + 13*z**2\/2 + 3*z. Let o be f(-6). Calculate the greatest common divisor of 7 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a. Let n(b) = -9 + 7*b + 2 - 1 - 3 + 6. Calculate -n(g) - 3*s(g).\nAnswer: -4*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 1:28 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.324 minus -860396?\nAnswer: 860396.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3164, -3168, -3172, -3176?\n\"Answer: -4*r - 3160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -69, -92, -133, -198, -293, -424?\nAnswer: -597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/272 and -67\/2448.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*r - 56*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -17*w**2 - 3. Let z(a) = -a. Let t(i) = 12*i. Let l(q) = 2*t(q) + 20*z(q). What is g(l(n))?\nAnswer: -272*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 184 - -0.035\nAnswer: 184.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5155 = -3*o, -6*o + 7731 = 3*b - 9*o. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.823279 rounded to 2 dps?\nAnswer: -1.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*z - 251*z + 1677*z - 258*z - 394*z - 261*z - 258*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1873879001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79419 + 79163 - 11*t - 158253 + 12*t.\nAnswer: t + 329","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2435?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 12 = 3*t. Let k = t - 9\/2. What is the nearest to k in -1, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 2:46 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*162.\nAnswer: 11.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -31, -6683 in increasing order.\nAnswer: -6683, -31, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2499 - 868. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 93*b**2 - 191*b - 1. Calculate m(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -1, 0.3, -2\/213, 3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-87)\/5*(-205210)\/(-61563).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*z**4 - 114*z**3 + 235*z**2 - 156*z + 28 = 0. What is z?\nAnswer: 2\/7, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6441 = 5*k - 28*f + 29*f, 5*f + 2571 = 2*k. Suppose 3 + 5 = 2*v, 3*r - k = -v. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 17*y - 34. Let z be x(-15). What is the units digit of (z + 2)\/((-2)\/184)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6988\/61 and 2\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 6:39 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, -5, -2, 2, 77, 148 in decreasing order.\nAnswer: 148, 93, 77, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 22 + 12 + w**3 to f + q*w**2 + b*w**3 + i*w and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 - 5*w**3 - 6*w**3 + (3 - 3 - 2*w**2)*(-3*w - 4*w + 6*w) as l*w + x*w**2 + g + z*w**3 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-281)\/(-28) - (-19)\/(-532) - 6\/1. Suppose -2*y - 10 = -5*g + y, 3*g + 5*y = 6. Solve -1 = -b - s*j - g, -b - 3*j = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1077 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 5*x + 7. Let c be t(-6). Let z = 35 + c. Let q be z\/(-30)*10\/4. What is the third biggest value in 0.4, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 2*j - 6. Let l = j - -1. Suppose -160 = -5*s - 5*h, s - 6*h = -l*h + 47. Does 29 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7.177, -9, -15, -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n - 3*n - 429 + 426. Calculate r(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63305020*v**3*y - 650*v**2*y - 4004*v*y wrt v?\nAnswer: 379830120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*h = 2*h + 4, 3*f - 2*h = -14. Let v(r) = -23*r + 11. Is v(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/28)\/((-11)\/(-66)). Is 0 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (0 + 2)) + (-11 - -12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v - 2*v**2 + 4*v + v**2 - 4 + 4 - 2*v**2 + 3*v**2 - 3*v**2 + v**2 + (0*v + 3*v - 2*v)*(-v - v + 0*v) as a + m*v**2 + q*v and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.065 - 2.635. Let x = -1.3 - v. Let d = -6.6 - x. Does d = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -v. Let z be (-1 + -9)\/(v + -2). Solve w = 3*u + 14, w - 9 - 11 = z*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 3*r + 28)*(4 - 4 + 2) as a + y*r and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 224766367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -5, -24, -49, -80?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 168\/(-147) + 114\/14. What is the units digit of (-168)\/196 - (-4892)\/m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -12*u. Let z(p) = -272*p**2 + 96*p + 48. Let r(n) = -5*n**2 + 2*n + 1. Let j(k) = -48*r(k) + z(k). Calculate m(j(w)).\nAnswer: 384*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 0 - 2. Let f be t\/(3\/(-2) - -1). Let z**5 + z**f + 3*z**3 + z + 3*z**4 - z = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -15*u**2 - 9*u + 5. Let h(s) = 23*s**2 + 14*s - 8. Give 5*h(f) + 8*x(f).\nAnswer: -5*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q = 2*q - 24 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**4\/12 - 2*c**3\/3 - 96*c**2. Let o(v) = -1 + 6 - 2*v + 0*v. What is 4*o(n) + 5*w(n)?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 378*b - 19267. Calculate m(51).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2067\/8957 + 56\/(-299).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104 - 108.74. Let r = 0.26 - w. Which is the nearest to 0? (a) 0.1 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 24597, 2, -3 in ascending order.\nAnswer: -29, -3, 2, 24597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 694995153 a multiple of 411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3797 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 1 - 2. Let s = 7 - z. Suppose x - s = -1. Solve -25 = -x*q, 3*j = -q + 6*q - 25 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*c - 170 = 0. Let u = -22 - c. Suppose -14 - u = -2*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -233.1 - -156.8. Let k = -70.39 - f. Round k to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 - (-22 - -11) - -35 - (6 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 1922171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 1\/9, -6, 1\/6 in descending order.\nAnswer: 1\/6, 1\/9, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.4 + -7.3. Let l = -7\/3 + 3. Which is the closest to d? (a) 4 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400 a factor of 776913949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1fd - 190e?\nAnswer: -1711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1582 + 1573. Let p = 5.6 + -5. Let b = -0.3 + p. Sort a, 2, b in ascending order.\nAnswer: a, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 - 6*w - 8. Let f be z(-6). Let h = 49 + f. What is the third derivative of h*u + 17*u**6 - 34*u**2 - 5*u + 8*u**6 wrt u?\nAnswer: 3000*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/((-39)\/(-6)*((-63)\/91)\/(-9)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 - -46. Which is smaller: 2 or p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/21 - 2\/7. Let f be (-2)\/(-6) + 34\/(-48). What is the closest to -1\/4 in 3, f, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 4. Let k(q) = 2*q**2 + 12*q + 14. Let u be k(t). Put u, -2, 1 in descending order.\nAnswer: u, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20 - 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262.911 hours to days.\nAnswer: 10.954625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 144352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 s when three letters picked without replacement from sjssrlojrr.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 - c**3 + 16*c + 3*c - 14 - 29*c. Let k be l(6). Suppose 0 = -2*f + 166 + k. Does 17 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 430.3832ng?\nAnswer: 0.4303832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 5*g**2 + 2. Let z be q(-5). Suppose -z*v = -26 - 12. Suppose v = -0*i + i. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -355 (base 6) to base 11\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 11*y - 64. Let c(m) = 7*m**2 + 2*m - 38. Let x(r) = -20*r**2 - 7*r + 109. Let j(q) = -17*c(q) - 6*x(q). Calculate j(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226666 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/446 and -29\/613368.\nAnswer: 136781064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 344.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 30 = -6*c. Let v be (-10)\/c - 29\/(-3). Let k be 3*3\/v - -7. Solve 20 = -k*p + 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 14. Calculate the remainder when 17 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1639275.2 + 0.8\nAnswer: 1639276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -2\/3 (c) -43 (d) -2 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -256567 divided by -6\nAnswer: 256567\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -35*d**2 + 5*d + 5. Let x(h) = -1. Let s(k) = -r(k) - 5*x(k). Factor s(i).\nAnswer: 5*i*(7*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-1\/4)*m*m*m*m**(-2)*(m\/m**(-7))\/(m\/(m**(16\/7)*m)*m) assuming m is positive.\nAnswer: m**(309\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -18*x + 28. Suppose 0 = 2*b + 11 + 3. Is 14 a factor of v(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-6))\/(84\/(-378))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9152573 is divided by 10870?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**4\/2 - 5*f**3\/3 + 3*f**2\/2 - 3. Let d(t) = t**3 + t + 1. Let g(s) = d(s) - n(s). Is g(3) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 + 12*h. Let a(m) = m**3 - 2*m - 6. Let g be a(0). Let j be t(g). Suppose 4 = -f - 0*f, 3*k - 5 = -f. Put j, 7, k in descending order.\nAnswer: 7, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrr when three letters picked without replacement from srsssrysryrrssrcccy?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759423.\nAnswer: 3, 7, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-12)*x*x*x*x**(-16)*x assuming x is positive.\nAnswer: x**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 466388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 362822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 134, 277, 418, 557, 694, 829?\n\"Answer: -b**2 + 146*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31231131 (base 6) in base 12?\nAnswer: 3784a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 962327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.33 and 246726748.\nAnswer: 246726750.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2009.998999 - -2010. What is g rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 66\/(-9)*3*(-14)\/(-4). Let w = -73 - m. Solve 0 = w*c - 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 6*r**2 + 3*r - 5. Let f be p(-5). Let a be (-10)\/2 - (6 - f). Which is bigger: a or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/(-130)*-30*((-84)\/(-91))\/(-12)?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -341303, -682609, -1023915, -1365221?\nAnswer: -1706527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 9, -0.08 in ascending order.\nAnswer: -4, -0.08, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 60994 divided by -1\nAnswer: -60994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -28*a - 10. Let o(u) = -u**2 - 57*u - 18. Give 2*o(v) - 5*s(v).\nAnswer: -2*v**2 + 26*v + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 2 = -3*s, 5*s = -5*p - 199 + 209 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -4. Suppose l = 3*r - 9. Suppose -5*s - 2*h = -58, 7*s - 3*s - 52 = r*h. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26547 + 44933 = -317*v for v.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -10*p**4\/17 + 256492*p**3\/17 - 307770*p**2\/17 - 153896*p\/17 + 205184\/17 = 0?\nAnswer: -4\/5, 1, 25648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = f - 8. Let b = f - 12. Let w be -1 + b + -3 + 2 + -3. Sort 2, -5, 0, w in descending order.\nAnswer: 2, 0, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i**3 - 5*i**2 + 3*i. Let d(b) = -10*b**3 + 10*b**2 - 5*b. Let h be -10*(39\/26)\/(-3). What is h*a(s) + 3*d(s)?\nAnswer: -5*s**3 + 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 10828 and 10827 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 455300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -129\nAnswer: -13\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.00947, 30 in descending order.\nAnswer: 30, 0.00947, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b. Let c(n) = -3*n - 17. Calculate a(c(u)).\nAnswer: 6*u + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 656 = -12*y + 20*y. Let g = y + 237. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.99 + -0.01. Let p be ((-153)\/(-68))\/(3\/2). Which is the closest to 1\/3? (a) p (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o + 3. Let t(r) = 3*r + 2. Let f(n) = 4*t(n) - 5*y(n). Let l be 3*-1*1 + 1. Let v(m) = -m + 3. Give l*f(d) - 5*v(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1098)\/1530 + (-16)\/(-10) + -1.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -7. Let a(j) = -6*j - 181. Let s be a(-31). Put s, -1, 2, d in descending order.\nAnswer: s, 2, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = d - 20. Calculate the highest common divisor of 4 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112907031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*o + 3*o - 7*o + (o + 2*o - o)*(-1 - 1 + 3).\nAnswer: -27*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2456 - 7305. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 5855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7*k - 63. Let g(l) = l - 8. Let i(o) = -6*d(o) + 49*g(o). Let s(q) = q**3 - 7*q**2 - q + 13. Let v be s(7). What are the prime factors of i(v)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (194\/12 - (-3)\/(-18))*8 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 o when two letters picked without replacement from dyoio.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 566356.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**5 - 684*w**4 + 41328*w**3 + 486764*w**2 - 527406*w = 0.\nAnswer: -393, -11, 0, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*z**2 - z - 130 - 2*z**2 + 83 + 79 - 16*z**2 to the form i + o*z + p*z**2 and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -36. Suppose k*w - 6 = -0. Suppose w*r - 2*m - 3 = 233, 5*r + 5*m = 550. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.9038? (a) 6\/11 (b) 1\/6 (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1786429 and 856689.\nAnswer: 230449341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2279626 is divided by 323.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*a - 20 = -131 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + r + 271 = 0. Let o = r + -142. What are the prime factors of o?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 48 = 2*d, -5*d = o - 2*o - 12. Let v = o - -32. Solve 2*c + 0*c = 0, 0 = -5*l - 5*c - v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -223*f - 193*f + 7*f**2 + 379*f + (3*f - 4*f + 0*f)*(1 - 3*f - 1).\nAnswer: 10*f**2 - 37*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**3*l**3 + 3*h**3*l**2 - 13271*h**3 + 7*h**2*l**3 + 2*h**2*l**2 - 39149*h*l**3 + h*l wrt h?\nAnswer: -6*l**3 + 18*l**2 - 79626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19522\/26 + (-6)\/(-39) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*m**3 - 26*m**3 - 14*m**3)*(2*m - m - 20 + 10) to i + j*m**3 + w*m**2 + p*m + g*m**4 and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/6*(0 + 0). Let v be 6 + 1*-2 + u. What is the second derivative of -2*x**4 + 2*x + 0*x**v - x wrt x?\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + 4*x + 0*x + 6*x**3 + 20*x**3 - 4*x - 3 as t + c*x**2 + y*x**3 + m*x and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -18. Suppose -h = -2*w + 105, w = -3*h - 2*h + 47. Suppose -46*g - 48 = -w*g. Is r < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -12. Let r be s + (1 + 0 - -1). Let d = -23 + 93\/4. Which is the nearest to d? (a) -1 (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51523 minus 26?\nAnswer: -51549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3045748\/79 greater than or equal to -38555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 0 + 0 - 2)*(5*t**2 - 2*t**3 - 5*t**2).\nAnswer: 10*t**4 + 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-260)*13 + (-120)\/(-3). What is the greatest common factor of 62829 and m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 + 7\/(-1))\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5207519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 6) in base 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 225, 218, 197, 156, 89, -10, -147, -328?\n\"Answer: -s**3 - s**2 + 3*s + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 555, 1994, 4385, 7722, 11999, 17210?\n\"Answer: -l**3 + 482*l**2 + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -20*j**2 + 4*j - 4. Let n(z) = 180*z**2 - 35*z + 35. Let a(w) = 4*n(w) + 35*o(w). Let g(r) = -2*r**2 + 2859*r - 5729*r + 2870*r. Give g(a(v)).\nAnswer: -800*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 550124?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 85739950 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1*o)**18*(o**(-1\/6)\/o*o*o)\/o*o**(2\/7)*o*(o**7*o**(-6))\/(o**0)**38 assuming o is positive.\nAnswer: o**(1601\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**8\/(s\/(s\/((s*((s*s**(3\/8)*s)\/s*s)\/s)\/s)*s))*s\/s**(-2\/9)*s**(-2))**(2\/53))**(-47) assuming s is positive.\nAnswer: s**(-23171\/1908)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 e when four letters picked without replacement from eeeeeeeeveee?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n - 8. Let l(z) = 13*z + 33. Let g(h) = 9*j(h) + 2*l(h). Let c be g(-7). Suppose 11 + c = 3*v. What is the remainder when 6 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.696724t in micrograms?\nAnswer: 9696724000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1539, -1715, -1917, -2133, -2351, -2559, -2745, -2897?\nAnswer: -3003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 42*p - 10 + 45*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 - 73*w - 427. Calculate p(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**3\/6 + 182*r. Let q(l) = -54*l. Give q(y(i)).\nAnswer: -54*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11, 9, 29, 49, 69, 89?\n\"Answer: 20*r - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1517610 to the nearest 10000.\nAnswer: -1520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 81, 127, 191, 273?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11134 = 906*q - 14765 + 3249 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**2 + 3. Let k(f) = -7*f**2. Determine x(k(g)).\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/8 and 3\/(-6) - (-92)\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238468003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**6\/960 - i**5\/80 + 3*i**4\/64 - i**3\/12 + 109*i**2\/2 + 15. Let w(l) be the second derivative of k(l). Solve w(m) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhz when three letters picked without replacement from hzxphxxx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 999*n + 7791*n - 2376*n - 2169*n - 5*n + 3*n + 3*n + (1 + 2*n - 1)*(-1 - 2 + 1) in the form o*n + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4 + 3143\/14. Let s = 132 - q. Calculate the common denominator of (s\/24 - -2) + 1 and -13\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 103b5 + 87?\nAnswer: 1045c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 805*r + 16*r**2 + 805*r.\nAnswer: 16*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17085, -34154, -51207, -68244, -85265, -102270, -119259?\nAnswer: -136232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56790\/(-4417))\/(3\/7).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66998600.\nAnswer: 2, 5, 334993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-68))\/((-504)\/144)?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.011 - 8.011. Let g = j - -7.6. Which is the biggest value? (a) 0.4 (b) -0.03 (c) g (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -28, -55, -78, -97, -112, -123?\n\"Answer: 2*l**2 - 33*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 135383*y. Let u(v) = 3*v**2 - 21. Determine u(r(h)).\nAnswer: 54985670067*h**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b (base 16) to base 6.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44122014 and 15?\nAnswer: 220610070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/3)\/(q*q**(-12)))\/(q\/(q\/(q*q\/q**(-1\/6)))*q*q**(1\/3)\/q) assuming q is positive.\nAnswer: q**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -1\/9 (b) -5 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*w + 159*w - 91 = 85*w for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 5342700 to the nearest 100000.\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10312021 (base 4) to base 16\nAnswer: 4d89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9482 is divided by 4725.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 2:13 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeyeeeeeeeeeeyeeee. Give prob of picking 1 y and 1 e.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)\/sqrt(5))**2 + 0)*6.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 - 2*s**2 - 4*s - 3. Let v be y(-2). Suppose 4*o - 13 = q, -1 = -2*o + o - 2*q. Solve o*g = -v - 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.015 * -20.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 336776846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27\/5702 - -409945\/1077678. Calculate the common denominator of -1\/49 and a.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*a + 4*q, 7*a + 14 = 2*a + q. Let j be ((-3)\/a)\/((-9)\/(-66)). Let d = j - -1. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5236770409?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 3073 = -791. Suppose -v*h + 28 = -156*h. Calculate the remainder when 5 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)*z*z**6*z)\/((z*z**16)\/(z*z*z\/(z*z**(-25))*z)) assuming z is positive.\nAnswer: z**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**3*d**2 - 45536*b**3*d*k + 128*b**2*d**2 - 4*b**2*d + 20*b*d**2*k - 5*d**2 wrt b?\nAnswer: -24*d**2 - 273216*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**2*v*v**(-2\/33)*v assuming v is positive.\nAnswer: v**(130\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7341418.\nAnswer: 2, 7, 524387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -3*l**5\/40 + l**4\/12 + 3*l**3 + 10. Let z(w) be the third derivative of j(w). Differentiate z(v) wrt v.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 6:18 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-1*sqrt(150) - sqrt(150))\/sqrt(5))\/(sqrt(54)*6))**2.\nAnswer: -5\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -642 = 14*q - 8*q. Let l = -103 - q. Are 4 and l non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 117.17 - 117. Round u to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 3*b**2 - 5*b - 4. Let a be r(-4). Suppose a = 3*y - 15. Solve -2*p - y = -p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -21*n - 5. Let o(t) = 21*t + 6. Let h(u) = -5*b(u) - 6*o(u). Let s(k) = -14*k - 7. Calculate 5*h(i) - 8*s(i).\nAnswer: 7*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -31143 (base 7) in base 5?\nAnswer: -221001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -49*j**4\/12 + 28*j**3 - 72*j**2 + 452*j + 2. Suppose r(v) = 0. Calculate v.\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from {d: 2, v: 1, s: 2, f: 3, b: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/2 - z**3 + z**2\/2 + z.\nAnswer: -z*(z - 1)*(z + 1)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/9*6*43\/((-5332)\/(-1209)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*s + 15. Find the second derivative of a**4 + 0*a**4 - a - s*a**4 wrt a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 0 - 1\/126*u**5 + 0*u**3 + 147*u**2 + 0*u - 1\/126*u**4 + 2\/2205*u**7 - 1\/1260*u**6. What is h in r(h) = 0?\nAnswer: -1, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 10*r**2 - 9*r + 21. Let l be g(9). Suppose s + 4*u = 15, -2*u + l = -s + 6*s. Solve 2 = b - s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 50\/7 of a week?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 2 + 2 + 3 - 3 - 4*g + (-3*g + 4*g + 0*g)*(-1 - 2 + 1) - g + 2*g - 3*g)*(-g**2 - g**2 + 0*g**2).\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085 divided by 4334?\nAnswer: 1085\/4334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*q - 2, -4*q - q = -y - 12. Let a be (-2 + 15\/6)*(2 - q). Suppose 0 = u + 5*o - 11, 4*o - 8 = -a*o. Does u = 2\/93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 326141\/34 - 9591. Does 1 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43402 - 10?\nAnswer: 43342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 14*m - 1. Let h(n) = 5*n. Suppose -u - 17 = -3*u - f, 4*u = -f + 35. Let b = -15 + u. Let k(t) = b*r(t) + 17*h(t). Differentiate k(a) wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 348 by 3.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and -40?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 812, 840, 888, 956, 1044?\nAnswer: 1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, s: 3, n: 3}. What is prob of sequence nrs?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c + 828. Let z be y(0). Suppose 6*t - z = 12. What is the highest common factor of t and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/1051136 and -83\/18132096.\nAnswer: 72528384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 4*n + 43 = 30, 0 = -3*b + 2*n + 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 948254306 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quu. Give prob of picking 1 u and 1 q.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 86*w + 11*w**2 + 202*w**3 - 113*w - 203*w**3 - 6. What is y(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*h*i**3 + 6*h*i*m**2 - 2*h*m - 156*h - 2*i*m**2 + 3*m**2 wrt i?\nAnswer: 18*h*i**2 + 6*h*m**2 - 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 4*q + 26 + 11 = 0, k = q - 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2 * -35.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 10:53 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 + 2.5. Suppose -5*h + 21 = k, -6 = -5*h - 3*k + 7. Which is the third smallest value? (a) 0.4 (b) h (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113565, 113564, 113561, 113556, 113549, 113540, 113529?\nAnswer: 113516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 12470.31 to the nearest 100.\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 1:04 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 197 - 201. What is the tens digit of ((-5)\/n + 1)\/((-45)\/(-5280))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17\/6509 + 31939510\/58581. Let x = -78317\/144 + r. What is the common denominator of 85\/42 and x?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 10:09 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-208 - (4 + -5)) + -1. Let i = c + 304. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/7 and -2147.0632 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -7. Is 12\/z*(-37)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -182*x - 10482. Give m(-59).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -869*v - 59*v - 624*v in the form x*v + m and give x.\nAnswer: -1552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**6\/24 + h**5\/60 - h**3\/6 + 3*h**2. Let u = -3 + 4. Give t(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1140.98766 and 161914.\nAnswer: 163054.98766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 13)*1\/(-3). Suppose 0*l + 20 = c*l. Let j = 6 - l. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5274*x**2 - 7. Let k(c) = -33407*c**2 + 44. Calculate -7*k(y) - 44*s(y).\nAnswer: 1793*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549 is divided by 280.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1463 and 3.\nAnswer: -4389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -636\/3773771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 200988 to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 3\/482314 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*d - 2*v, -18*v + 7 = -5*d - 15*v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 898885302 divided by 3057433?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -66847708?\nAnswer: 66847706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -39, 382, 1091, 2082, 3349?\nAnswer: 4886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from {m: 8, b: 8, u: 4}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56\/173263 or 0.2?\nAnswer: 56\/173263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 91701 - 55772. Is 320 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-280)\/(-3640) + (-2196)\/(-13). Solve -f*r + 73*r = -85*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-8))\/d*d*d)**(2\/55)\/(d**(-21)*d*d\/(d**(2\/19)*d*d)))**(-37) assuming d is positive.\nAnswer: d**(-166019\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 10:44 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + n + 55 = -100, -n = -5. Suppose m - 4*m = 5*p - k, 5*p + m = 30. What is the closest to 2\/7 in -5, p, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*a**3 + 0 + a**3 - a**3 - 1 in the form o*a**3 + k*a**2 + r*a + p and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1442818, -1442819, -1442820, -1442821, -1442822, -1442823?\nAnswer: -1442824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2246, 2239, 2220, 2183, 2122, 2031?\n\"Answer: -b**3 + 2247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 265 (b) -3\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = n + 17, 5*n = 16*x - 20*x + 29 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2646 and 30?\nAnswer: 13230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 5*v**2 - 6*v + 2. Let f be o(6). Calculate the common denominator of 1\/(-2)*f\/15 and 62\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 13) to base 14\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9 - 3 - 2 + 15 + 50*p**3. Suppose 1 = -3*r + 4. What is the units digit of j(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktktkgklllttltak. Give prob of sequence kkl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-190)\/(-20) - (12 - 2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4438, 0.24, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-200)*(-1)\/6*2.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3 (b) 2\/5 (c) 25 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*d**3 + 7 + 2*d**2 + 4 - 11.\nAnswer: -63*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 806, -4, 1, -2\/15155.\nAnswer: -4, -2\/15155, 1, 806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3 + 337*m**2 + 18919*m + 168663 = 0.\nAnswer: -269, -57, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 7:50 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16682*c - 4049*c = 1174869 for c.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 52, -2\/7 in increasing order.\nAnswer: -4, -3, -2\/7, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -2. Suppose 5*l - 5*o = -7*o + 7, -5*l + o + 4 = 0. Let r be 196 - 196 - (-1 + 2 + l). Sort 8, r, p in descending order.\nAnswer: 8, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1298040 and 37300?\nAnswer: 6490200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/6 - 4\/(-6). Suppose 0 = -q + z*b + 19, -4*q - 3*b + 160 = 27. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 0 - (2 - (-1 + (16 - -3))) and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4395497134 - 4395497134 - 8*h**2.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32362, 32300, 32246, 32200, 32162, 32132?\nAnswer: 32110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/((-9)\/3) + 12. Let g(x) = -x**2 + 3*x - 3*x + 6*x. Calculate g(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**3 + 2*w**2 - 7*w - 8. Let m(x) = -x**3 - x**2 + 3*x + 4. Let l be (3\/(-2))\/(4\/(-8)). Calculate l*a(q) + 7*m(q).\nAnswer: -q**3 - q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 1. Let u(m) be the third derivative of 2*m**5\/15 - 5*m**3\/6 + 1864*m**2. Calculate 6*n(z) - u(z).\nAnswer: -14*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -25 + 29. Let n = -3 - -6. Let b = n + -9. Sort s, 5, b in descending order.\nAnswer: 5, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 171.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 14 = -4*m, 5*s = 2*m - m - 13. Suppose -335 = -m*p + 106. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*k + 200 - 398 + 198.\nAnswer: -140*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z + 1. Let f(p) = 2*p - 1. Let s(d) = -2*d - 22. Let n be s(-13). Determine n*l(t) + 5*f(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -247 - -518. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 12*u**3 + u**2 + u - 1. Suppose -3*z - 3 = -2*z - 4*f, 4*f - 6 = -2*z. Let x be n(z). What is the highest common divisor of 52 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -4243?\nAnswer: 4300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, v: 3}. Give prob of sequence tttt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150 <= -72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*p - 8, -i + 3*p = 18 - 7. What is the remainder when -1 - (3 + 86\/i) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g + 10. Let k be q(4). Let i = 30 - k. Suppose x + i*x + 12 = f, f + 2*x = 0. What is the nearest to -1 in f, 0.4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = h - x, 2*x + 19579 = 3*h + 19622 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3310, 2, -270, -5, -7 in decreasing order.\nAnswer: 3310, 2, -5, -7, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 265741907 to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16, 16, 0, -38, -104?\n\"Answer: -d**3 - 2*d**2 + 13*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 708 and 93.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 3*a**2 + a + 1. Let q be v(3). Suppose 3*x - 46 = 4*b - 10, b - 4*x - q = 0. Is (3 - -1063)*(-2)\/b*3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/(-7) + 10\/(-35). Let w(t) = 2*t. Let m be w(-1). Does 24 divide (256\/10)\/m*f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22378186 and -374?\nAnswer: 22377812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, -232.\nAnswer: -232, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6518ab (base 13) to base 2\nAnswer: 1001000011101001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30 + 1 + -3 + -1. Let z be (-3)\/r*(-4)\/15. Let w = z - 34\/135. What is the smallest value in w, 0.5, 2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400 - 44 = 3*t + 4*k, -k - 481 = -4*t. Suppose 4*z - t = -324. Let y be z\/(-90)*-2 - -1. Which is the smallest value? (a) -5 (b) y (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**5 - 8*q**4 + 8*q**4 + (5*q**3 + 0*q**3 - 2*q**3)*(0*q + 0*q + q**2) + 3*q**5 + 2*q**5 - 3*q**5.\nAnswer: 10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**8\/110880 - s**7\/27720 - s**6\/660 + s**5\/12 - s**2 - 40. Let h(l) be the third derivative of m(l). Factor h(a).\nAnswer: 2*(a - 3)*(a + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -0.023876?\nAnswer: 0.076124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b. Let q(u) = -27*u. What is q(d) + 2*r(d)?\nAnswer: -25*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aoogaaaaaoooaaou. Give prob of picking 2 a and 1 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 980. Let x = n - -958.5. Let m be 6\/21 + (-64)\/126. Sort 4, x, m in decreasing order.\nAnswer: 4, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1540)\/150 - -10 - 23\/(13455\/(-44031)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.003012 + -191.631988. Let j = -182.63485 - o. Let x = 9 - j. Round x to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 55*v + 18 - 70 - 42*v + 117*v - 42*v.\nAnswer: 2*(v - 13)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/968*275*4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650991177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 0)*4 + (3*sqrt(325))**2 - 5*(sqrt(832) - (-1 + sqrt(832))**2)*-6)*2.\nAnswer: -44130 + 1448*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/3, 1\/3, 43, 35?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 2*x + 121. Give s(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 45 = -4*h, h = -4*h - 3*b + 54. Let c be 251847\/(-96)*(-6)\/h. Let n = c - 1750. Find the common denominator of 13\/20 and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -135.5 - -143. Let a = j + -5.5. What is the third smallest value in 1, a, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*q = -7, -q = -4*o + q + 14. Solve n + o = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4690 and 715225?\nAnswer: 1430450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 86*o**2 + 2925*o + 43. Determine n(-34).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -729 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 57.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/1 - -2 - -334. Let u be (-1*8 - -2) + (3 - -603). Let w = u - f. What are the prime factors of w?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1352040)\/(-48) - 13 - (-18)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 59910 = 4*c, c + 5*j - 14970 = -0*c. Let q = -8035 + c. Is 8\/(-36) + q\/27 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-10 + (9 - -6)) - (49320\/(-819))\/(-20)\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -30\/13351, -7, 5\/7?\nAnswer: -30\/13351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -136, 3, 2799 in descending order.\nAnswer: 2799, 3, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 11. Let a = 30 + i. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -4019069.\nAnswer: -4019068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + -5)*(-1)\/4. Let u(m) = -m**2 + 4*m - 3. Suppose -g + 4*s - 10 = 2*g, -12 = -4*g - s. Let q be u(g). Solve 5*y - 2 + l = 2*r, r + q = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 844 + 1441*k - 844 in the form d + v*k and give v.\nAnswer: 1441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 172*y**2 + y**3 + 3*y.\nAnswer: y**3 + 172*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22002, -22006, -21994, -21960, -21898, -21802?\nAnswer: -21666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-12))\/((-4)\/32). Suppose -3*o + 8 = k - 3, o + 1 = u*k. Solve 27*p + k = 28*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 10*n**2 - 10*n + 9. What are the prime factors of d(-6)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 23*d**2 + 389*d + 88. What is p(-34)?\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**3\/3 + 5*p**2\/2 + 2*p + 3. Let j be d(-2). Is (-894)\/j*(-4)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.44 and -73.\nAnswer: -68.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -6*(-80)\/225*-10*13455\/(-260) and 9.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -17) + (-61 + -72 - -144).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**2. Let j(k) = k**2 + 6*k. Let o(m) = 5*m**2 + 25*m. Let d(p) = -25*j(p) + 6*o(p). Give 2*d(b) - 3*x(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2729 - 2722. Solve h*i = 2*i + 35 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -4*c - 48, 3*c + x = 14 - 50 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5344 and 1491811?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -398.438 - 0.562. Let x = v + 399.000506. What is x rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17157 divided by 301\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 2:56 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 11:30 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30834765 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1. Let o(f) = f + 3. Let g(d) = 3*k(d) - o(d). Let p(w) be the third derivative of 0*w - 31*w**2 + 0*w**3 - 1\/4*w**4 + 0. Give g(p(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 182430*x + 182435*x + 110 = 0, -5*x + x + 66 = 3*d for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 6*j**2\/11 + 152762*j - 10642660\/11 = 0?\nAnswer: -280070, 19\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*x - 21 = -29*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 114\/(-297) - 646\/(-5814). Let b = -0.3 - -0.4. What is the second smallest value in -5, l, 0.4, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 12:00 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**10\/378 - y**9\/1260 + y**8\/840 + y**4\/6 + y**3\/3 + 63*y**2. Let p(m) be the second derivative of c(m). Factor p(s).\nAnswer: -4*s**3*(4*s - 1)*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -1302*p - 16. Let n(y) = 2607*y + 29. What is -9*c(o) - 5*n(o)?\nAnswer: -1317*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 3 + 1. Let f(s) = -19*s**5 - 2*s**3 + 24*s + 2. Let b(g) = -g**3 - g + 1. Let l(u) = d*b(u) - f(u). Find the second derivative of l(k) wrt k.\nAnswer: 380*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 298580312.\nAnswer: -3\/298580312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.95149 to one dp.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 200*h**2 - 206*h?\nAnswer: 400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Let y(n) = 4*n - 4. Let m be y(x). Find the first derivative of 7*l**2 + m - 3*l**2 + 4 - 4 wrt l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5 = -i, 5*t - i + 2 = -3. Suppose -3*o + 3*c + 147 = 0, 0 = -2*o + 3*c - t*c + 97. Suppose 4*k + 202 = o. Round k to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1211*v + 2560*v - 321*v + 1308*v + 12*v**3.\nAnswer: 12*v**3 + 4758*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (199 + 81 - 237) + (-26 - -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 10\/(-14) + 1. Let a be 1\/(-2)*16\/(-1028). Let k = a + 1018\/1285. What is the biggest value in k, h, -1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 30*l = -28*l + 2, 0 = 4*c - 5*l - 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0.1. Suppose -1 = y - 0*y - h, 0 = -5*h. Which is the closest to 2\/7? (a) y (b) j (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2\/5 + 79796*s\/5 + 16164928 = 0.\nAnswer: -38858, -1040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, -1\/2, -1377, -2\/5, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-117))\/((-27)\/((-23328)\/(-24)))\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i*i*i**(-1\/4))\/i*i)**(-14)*(i**(-1\/4)\/i)**(-37))**(-3\/5))**(-2\/105) assuming i is positive.\nAnswer: i**(31\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 2)*(0 - 1 - 1)*(0 + 3 + 1)*(j**2 - j**2 - 3*j**2) to q*j + y*j**2 + i and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306 + 303 = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-13154)\/5)\/((-558)\/219015) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8742584 is divided by 213.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**4\/18 + 20*o**3\/9 + 91*o**2\/3 + 2394*o. What is y in i(y) = 0?\nAnswer: -13, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 117 = 3*o, 3*c = -5*o + 255 - 46. What is the remainder when o is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (29 + 1)*(-346)\/(-5). Suppose -646*d + x = -642*d. List the prime factors of d.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532287563 at most 532287562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/20331 - 60740\/204102909. Let o = 230843\/271053 - i. Find the common denominator of o and 35\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10487.517786 + -10572.3168. Let h = c - -84.8. What is h rounded to 5 decimal places?\nAnswer: 0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (202*((-85)\/10260)\/17 - 6) + 6 and -11\/30.\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1201.06219 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-25))\/(39\/(-15))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 16*s + 148. Calculate f(-13).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 11:11 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1178.1 + -1178. What is the nearest to -2 in -0.2, 1, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -1, -3, -273?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 43 times -10107372\nAnswer: -434616996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 2*s - 6. Calculate the remainder when 13 is divided by (8 + 2)*s - 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -51, -70, -87?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 8*m. Let h(b) = -17*b**2 + 6*b + 12. Let x(l) = -100*l**2 + 35*l + 70. Let n(v) = -35*h(v) + 6*x(v). What is n(q(g))?\nAnswer: -320*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5528*k**4 - 2*k**2 - 2660.\nAnswer: 132672*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnq when three letters picked without replacement from nnnqnnnnnnnnnnnnnnqn.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 53\/4. Let v = 5 + -4. Let h = -1 + v. Sort j, 0.4, h.\nAnswer: h, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) - (sqrt(65) + -1*sqrt(65))) + sqrt(65))*-1)\/(sqrt(30)\/sqrt(24)).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*v - 18 + 18)*(-7 + 1 + 3*v + 2) to g*v + n + h*v**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 1. Let j be v(-4). Let c = j - 4. Is 3 + 1\/(c\/370) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/4)\/(h\/h**6))**(-6)\/(h**(-1\/3)\/h*(h**5\/h)\/h)**(-1\/9) assuming h is positive.\nAnswer: h**(-1367\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/10*-14*(48\/20)\/(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1971385.3 to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-24)*m\/((m*m**17)\/m))\/((m\/(m**(2\/103)*m))\/(m*m**6*m)))**30 assuming m is positive.\nAnswer: m**(-98820\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 775 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x - 5*z = 15, 5*x = -5*z + 45. Let m = 22 - x. Calculate the smallest common multiple of m and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.0034 + -2. What is w rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237448987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**2 - 1 + 1)*(2 - 3 + 5) + (-j + 4*j + j)*(-2*j - j + 4*j) to h*j + p + y*j**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 40535447 and 0.08.\nAnswer: 40535447.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 242544 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, l: 1, v: 1, o: 3}. What is prob of sequence vo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -465911*l**4 - 6*l**2 + l + 681 wrt l?\nAnswer: -11181864*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -208572 divided by 91?\nAnswer: -2292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4*b)*(37 + 244 - 2396 - 4978).\nAnswer: -28372*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 0, 4, 273 in ascending order.\nAnswer: -2, 0, 4, 5, 273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) 1\/2 (c) 4 (d) 2 (e) 68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3492166?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3*m**2 + 4*f**3*m - 220*f**2*m**2 + f**2*m + 8*f*m - 2*f + m**2 wrt m?\nAnswer: -4*f**3 - 440*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 20*d + 2. Let k be r(20). Suppose -2*t - k*u = -124 + 14, u = -5*t + 259. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + t + 2*t + 3762 = 0, f - 5*t - 1250 = 0. Let p be 2\/(2500\/f + -2). What is p rounded to the nearest ten?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**2 + 320470*i - 5135051045 = 0. Calculate i.\nAnswer: 32047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1356 by -339.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j + 5. Let y be x(-4). Let c = y - -2. Suppose 4*s = -5*p + 2*s - 4, -3*p + s = 9. Which is bigger: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2092*m**4 - 2091*m**4 - 4*m - 6 + 289*m**2 - 287*m**2 as j*m**2 + y + u*m**3 + g*m**4 + r*m and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75 - 139 - -38 - (-30 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1686249886)\/(-57)*-6*(-1)\/4. Let p(c) = 216323*c**2 - 7*c - 9. Let w be p(11). Let s = w - g. What is s rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1480, 6428, 14836, 26698, 42008?\n\"Answer: -k**3 + 1736*k**2 - 253*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven halves of a year?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13180258 and 168?\nAnswer: 158163096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (32 + -26)*(-8)\/30?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -239.4 times -10407?\nAnswer: 2491435.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12288*t**3 - 838272*t**2 - 17322195*t - 96957675 = 0.\nAnswer: -1895\/64, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 35715.\nAnswer: 35715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-3)*(12\/1 - 0). Suppose 3*s - w = 4*s - 4*d, -3*d = -s - 11. Solve 0 = -2*p + s*b - 9 + 1, 2*p + 4 = 3*b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3193*v + 3202*v - 135 = 0 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3494*x - 3491*x = 3*i + 27, 0 = -2*x + 5*i + 21 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 11*d + 62935 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*u - 556, -4*h = -u + 6*u + 425. Let l be 11\/(h\/15)*8\/4. Let k(t) = 2 - 5 - t + 2. What is k(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 20 = -2*l, -4*z - z - 5*l + 25 = 0. Let u be (5 - z)\/(2 + -1). Solve y = -u - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from {e: 11, k: 5}?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1010*x + 5066. Calculate o(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/320 and 17\/512?\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 - 87 + 41 + 43 + 5*l in the form d*l**2 + n*l + p + m*l**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 - 2955*s**2 + 11885*s - 8925.\nAnswer: -5*(s - 3)*(s - 1)*(s + 595)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 482.575 millennia to centuries.\nAnswer: 4825.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 5238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 1. Put w, -0.5, 0.1 in descending order.\nAnswer: w, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**5\/3 + 184*y**4 - 3810*y**3 + 64648*y**2\/3 - 11032*y - 36576 = 0.\nAnswer: -1, 2, 9, 12, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + l = -21, 4*l + 30 = 4*b + 6*l. Solve -4*w - 2 = b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c. Let v(i) be the second derivative of 0*i**3 - 29\/12*i**4 + 0*i**2 + 2*i + 0. Give v(r(k)).\nAnswer: -29*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-110)\/(-33) - 44\/33. Let j(h) be the first derivative of -1\/4*h**4 + 49\/2*h**o - 1\/3*h**3 + 45 + 0*h. What is the second derivative of j(g) wrt g?\nAnswer: -6*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 11*w - 10. Calculate b(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-10) + 33\/15. Let y(r) = -4*r + 54 + 5*r - 109 + 56 - r**k. What is y(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, v: 5, g: 5}. Give prob of picking 2 v.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1659 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202644520?\nAnswer: 2, 5, 13, 31, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5*a + 17, a + 2 = z - 3. Let o = z - -10. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 2*i + 3. Let j(f) = 2*f - 3. Let d be j(6). Let h be 6\/d*(-60)\/8. Is 13 a factor of u(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/2 - 1) + 2. Let m = 2 - n. Which is bigger: m or -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.6 - -59140233.\nAnswer: 59140247.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 55 (c) -3\/2 (d) 1\/8 (e) -1\/3 (f) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -159*p**2\/2 - p - 2. Suppose -8*t = 167 - 151. Is v(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00038265 to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 82, 80, 68, 40, -10, -88, -200?\n\"Answer: -r**3 + r**2 + 2*r + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.034821 to 3 dps.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47463.\nAnswer: 3, 13, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**3 + 2*m - 1. Let b be k(1). Suppose -2 = -b*h + 38. Suppose f = 2*f - 28. Calculate the remainder when f is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 30 = -o, 4*b = 5*o + 103 - 1. Suppose -3*j + 2*w = 2*j - 6, 0 = -3*w - 9. Let p be ((j - 0) + 2)*42. What is the greatest common divisor of p and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 5*r = 32. Let b be 1\/(-3 - 26\/r). What is the third derivative of 3*h**6 + 47*h**4 - 47*h**b - 2*h**2 wrt h?\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 847 divided by 8.\nAnswer: 847\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 + 6*w**2 + 4*w**2 - 12*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-8)*3950\/(-2765)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50.5 - 50.3. Which is the nearest to 1? (a) -0.07 (b) -4 (c) 5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s = -355 + 148. Let o(l) = 4*l - 2. Let b be o(2). Solve -5*p + s + b = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -1 - 6*u**3 - 7*u**2 + 7*u**3 - 2 + 7*u. Let a be i(6). Suppose 6*j = a*j + 45. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 388370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 192 + 154 = -q, -2*q + 48 = 5*z. What is the greatest common factor of 986 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14\/415, 6, -4, 1 in descending order.\nAnswer: 6, 1, -14\/415, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117 - 117.11. Which is the closest to 2\/3? (a) -0.1 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/125 + (-27)\/5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -214040?\nAnswer: -214034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 789 + -3946\/5. Are i and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 109 = l, 0*a - 2*l + 329 = 3*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 5*p + 21, -37 = -5*r + 3*p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/6)\/(-2*(-3)\/(-28))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -194 + 194.1. What is the second biggest value in -0.4, 2\/3, -2\/13, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 48, 44, 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5117, -4, 0.622.\nAnswer: -5117, -4, 0.622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -283b62 (base 16) to base 15.\nAnswer: -371362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q - 16*q - 15*q + 53*q - 11*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + -1 + 10 - 12) + (-19 - -27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4. Let w(z) = -z**3 - 22*z**2 + 23. Let p be w(-22). Suppose p + 33 = -7*g. Let l(k) = k - 11. Give g*t(s) + 3*l(s).\nAnswer: 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.4 * 293322.\nAnswer: -2463904.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7.7 times 0.2\nAnswer: -1.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1963*j - 1961*j + 1 + 7*j**2 + 18*j**4 + 3923*j to n*j + a*j**4 + z*j**3 + q + f*j**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-3\/13)*u*u*u**(-2\/61)*u**(-2)*u\/(u*u\/(u\/(u*((u*u*u**(-11)*u*u*u)\/u)\/u)*u*u)) assuming u is positive.\nAnswer: u**(7721\/793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12579 + 12365156\/983. Let n = -42275\/5898 - o. Is -6 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2422 + -0.24. What is s rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -8)*4*2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - 14. List the prime factors of ((-1)\/(-1))\/((-2)\/r).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -0.034306 (c) 0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 7*v + 1069. Let o = v - -2087. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 877, 1163, 1859, 3169, 5297, 8447, 12823, 18629?\n\"Answer: 34*p**3 + p**2 + 45*p + 797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5088198 and 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 5359 and -469.\nAnswer: 4890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 5831?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 38\/(-1710) + (-56)\/(-2520). Find p, given that 14\/3*p**3 + 0*p + g - 2\/9*p**4 - 40\/9*p**2 = 0.\nAnswer: 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14018989800 rounded to the nearest 1000000?\nAnswer: 14019000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64613 is divided by 162.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 11. Is 1\/1*v - -294 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.4, 0.189625, -0.1 in descending order.\nAnswer: 0.189625, -0.1, -8.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3, 0 = y - 6*y - 4*d - 8098. Is y bigger than -1623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**4 + 385*n**3\/3 + 625*n**2\/3 - 1265*n\/3 + 82 = 0.\nAnswer: -41, -3, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*j - 9*f = 260*j - 14*f + 135, 3*j = -12*f - 36 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 845542.6 minutes to microseconds.\nAnswer: 50732556000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/176 + 123\/(-11). Let z(n) = 2*n**2 + 15*n - 4. What is the tens digit of z(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3021 - -25.1621. Let d = l - 29. Let h = d - -0.14. Put 0.4, 1, h in decreasing order.\nAnswer: 1, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96956 is divided by 3724?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7346024*c**2 - 2*c - 46397525 wrt c?\nAnswer: -14692048*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 14*j**2 - 1 + j - 30*j**2 + 15*j**2 - 6*j. Suppose 0 = 7*x - 2*x + 25. Calculate t(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 28. Let p(u) = 27*u + 4. Let i be p(h). Let l = 266 - i. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**5\/2 - 462*y**4 - 228441*y**3 + 3257160*y**2 - 30424425*y\/2 + 23471250 = 0.\nAnswer: -275, 4, 5, 569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 + 53*x**2 - 25 - 27)*(-x - x + 0*x).\nAnswer: -106*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, 2\/325, -106\/3, 2\/3, 3, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 1 + 11. Suppose -q*n = -j - 12, -5*n = -3*n - 8. Suppose 963 = j*c - 473. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24656 + 20161?\nAnswer: -4465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -111 + 382. Suppose -62 = 11*q - a. What is the remainder when 69 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -7*r - 5. Let v(f) = -f**2 - 18*f + 46. Let k be v(-20). Let z(j) = -4*j - 3. Let y(h) = k*w(h) - 11*z(h). What is y(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = 15 - 213. Let d be ((-15)\/9)\/((-15)\/v). Solve d + 6 = -2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*a**2 - 45*a**2 + a + 1 + 243*a**2 - 29*a**2.\nAnswer: 382*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 640321?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -21, -97, -247, -495?\nAnswer: -865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4044263?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 409 - 411.898. Let p = o - 0.102. What is the nearest to p in 5, 2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10903 and -4271?\nAnswer: -46566713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/2, -22\/35, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -11*f - f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 24 and 24 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 3*g - 19)*((4*g - 2*g + 3*g)*(-g**2 + 0 + 0) - 23*g**3 + 16*g - 16*g).\nAnswer: 84*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2\/5 - 306*g - 92104\/5 = 0 for g.\nAnswer: -58, 1588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260858 is divided by 331?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*p. Suppose p = -i + 5 + 5. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20087035 to the power of 1\/3, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341*j = -64*j + 9972 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -703*b**4*w**3 + b*w**3 - 83*b wrt b?\nAnswer: -8436*b**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {q: 4, f: 16}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 38. Let y = j - 2. What is the third derivative of -488*u**2 + 8*u**3 + 492*u**2 + y*u**3 wrt u?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/17 - 8\/17*r**3 - 26\/17*r**2 - 22\/17*r = 0 for r.\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.4, -1, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 712794428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 639 - 904. What is the units digit of q\/(-10) + -4 - 2\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 321 divided by -6\nAnswer: -107\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - s = 5, 39 = 2*w - s. Suppose -4*k - 4 = -36. Calculate the smallest common multiple of w and k.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*u**2 + 0*u**4 - 10*u**5 + 23 - u + 68 + 0*u**4 wrt u?\nAnswer: -200*u**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(1 - 127\/130). Let u be d + 0\/((-6)\/(-2)). Does 5 divide (2\/6)\/((-13)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -926*h - 4 = -925*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-24)*15*(-14)\/((-168)\/(-4))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 146366*l**5 + 2*l**3 - l**2 - 229692*l wrt l?\nAnswer: 8781960*l**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404\/(-42)*(-228 - -18) a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 647303 and 55?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -68832.88697 + 0.4\nAnswer: -68832.48697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(4\/15)*r*r)\/r**(-9\/2)*((r*r*r**(-6\/13)\/r*r*r)\/r)\/r**(-1\/65) assuming r is positive.\nAnswer: r**(3817\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 - -4041305014?\nAnswer: 4041304550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4489, 35942, 121313, 287560, 561641, 970514?\n\"Answer: 4493*k**3 + k**2 - k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2891*p**2 - 2479*p + 4878*p - 2399*p.\nAnswer: -2891*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9806 + -2943. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + 1.2. Let k = 0.26214315 - -1.7378571. Let d = k - v. What is d rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.25463757*4\nAnswer: -1.01855028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446 = -0*i - 2*i. Suppose 0 = 5*h - 2*q - 219, 4*h - 9*h = -4*q - i. Let s = 282 + -112. Calculate the remainder when s is divided by h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 21*f**2 + 45*f + 11. What is the remainder when j(-3) is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 158*j**2 - 3 - 3*j**2 to the form h*j + l*j**2 + b and give l.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9b138a + -45?\nAnswer: 9b1345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) 0.4 (b) 1\/6 (c) 27949\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 11:20 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 19.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1613 divided by -10\nAnswer: -1613\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24\/265? (a) -2 (b) -0.1 (c) -3\/38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 79 - 119. Let s(x) = x**2 - 9*x - 1. Let v be s(a). Solve 0 = -5*h + 3*b + 3 + v, 0 = -4*h - b + 13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30123 is divided by 124.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -2*p**3\/3 + 3. Let k(u) = -2*u. Determine h(k(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*v**2 - 148*v**6 + 31*v**2 + 153*v**6 wrt v.\nAnswer: 600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -7*r**6\/360 - r**5\/15 + 7*r**3\/3 - 8. Let i(k) be the third derivative of v(k). What is the second derivative of i(f) wrt f?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 2)*5\/(-2) + 188. Suppose -b + 139 = -11*o. Solve -c - c = -o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 25 - 16, -4*r - 5 = -5*z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134783 is divided by 67383?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154 divided by -27.\nAnswer: -154\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 147e0 (base 15) to base 3\nAnswer: 10100102010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1288 - -3615. Calculate the remainder when m is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252db8 (base 16) to base 14.\nAnswer: 475d44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 15634.\nAnswer: 1\/15634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10732 + 10738. Let f(y) be the first derivative of 14 - 3*y**2 - 1\/2*y**3 - h*y. Determine z so that f(z) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 10*h - 29*h + 10*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**7\/2520 - j**6\/360 - j**5\/60 - j**4\/6 - 9*j. Let p(g) be the third derivative of a(g). What is p(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - -23?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1026 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 20?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -28.829 (b) -11 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -1*(-4)\/(-2). Let l(q) = 1 + g + 4 - 6. Let h(d) = 13*d + 18*d - 3 - 30*d. Determine 2*h(i) - 6*l(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 370 and 384 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/9)*z*z**(-2\/5)*z**(-1\/6)\/((z*z\/(z\/z**(-2)))\/z) assuming z is positive.\nAnswer: z**(229\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*sqrt(700) + sqrt(700))**2 - (-5 + sqrt(700) + 2) - (-3*sqrt(84)*-2 - sqrt(84))\/(sqrt(108)*5).\nAnswer: -31*sqrt(7)\/3 + 44803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -675 or -676?\nAnswer: -675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*o**3 + o**3 + 309 - 767 + 464.\nAnswer: 56*o**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 114692 = -4*p, 0*z + 86019 = 3*p - 5*z. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 6:17 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-2)\/(-4))\/(6\/18*9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 25, -19*w = -24*w + 3*d + 45. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-9)*-2)\/((-698)\/(-3141))*58?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202310.\nAnswer: 2, 5, 20231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6 and 20.22.\nAnswer: 26.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 2:44 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 24 (b) 6 (c) 13 (d) 3 (e) -1\/3 (f) 4 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1237*l + 10 = -1239*l, 2*p = -5*l - 77 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -341, -342, -343, -344, -345?\n\"Answer: -o - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 1021523\nAnswer: 1021502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - sqrt(119)*1*1)\/((sqrt(35) + sqrt(560))\/sqrt(5))*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39b36 (base 13) in base 10?\nAnswer: 107360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -10*k**3 - 5*k**2 - 3*k - 2. Let q be m(-3). Let z = q - 392. Let j = z - -244. Calculate the highest common divisor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11702 - -11746. Let q(n) be the first derivative of -w - 13\/2*n**4 - 17*n + 0*n**3 + 0*n**2. Find the first derivative of q(j) wrt j.\nAnswer: -78*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 10*m - 10. Let r be u(-9). Let l = r + 46. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6182980 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -952 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -5*j - 9. Suppose 5*z - 151 = 2*t, j*t = -z - 38 - 163. What is the tens digit of (2 - t) + -5 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 583921127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 42, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 346 or 337?\nAnswer: 337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 78, 117, 156, 195, 234?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9074529 * 0.1\nAnswer: 907452.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -27. Suppose h*f - 60 = f. Suppose -13 = f*o - 13*o. What is the highest common factor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -976294.1 to the nearest 1000.\nAnswer: -976000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -223 - -341. What is the remainder when w is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2852)\/7912)\/((-13)\/(-4) - 1) and -53\/30?\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*b = -171*b + 346*b - 63. Solve 266 = b*u + 293 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 234435*o**2 + 14*o - 186386677.\nAnswer: 468870*o + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 23, 3\/5, 7, -2\/7, 1\/3, 2.\nAnswer: -20, -2\/7, 1\/3, 3\/5, 2, 7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10100 - -11010010200?\nAnswer: 11010021000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2*k + 2 + 1)*(-51 + 66 + 49 - 5 + 0 + 3 + (1 - 1 + 2)*(-3 + 2 + 0)).\nAnswer: -120*k + 180","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b + 0 - b + 6 + b. Calculate the remainder when 183\/3*(1 + 0) is divided by d(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/5*(5\/14)\/(-1)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 22272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -577257 and -14665759.\nAnswer: -15243016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0, -36\/7, 1\/4, -0.05.\nAnswer: -36\/7, -0.05, 0, 0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + -1 + 4\/(-2). Suppose -3*w - y*w = 45. Let l(t) = t**2 + 6*t - 8. What is the units digit of l(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7981 - -7981.03891. Round g to 3 decimal places.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/169 - 348\/845. Let o be (-4984)\/(-11214)*3\/4. What is the nearest to 12 in r, 0.4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - w**2 + w + 4. Let i be o(0). Suppose 0 = -62*x + 126*x + 448. Put x, 3, i in descending order.\nAnswer: i, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17333*y**3 - 8881*y**3 - 7550*y**3.\nAnswer: 902*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(((-21)\/18)\/(-7)). List the prime factors of ((-148)\/b)\/((-4)\/(-12)).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*o + 12*o + 3*o**2 + 22*o + 23*o in the form b + k*o**2 + u*o and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/104*(-8)\/6\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (11 - 23) - (-2 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27\/38 - -4\/19. Which is greater: 0.2 or j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 27*x - 344. Let o be 13 + 9 - 9*1. Let l be w(o). Solve -u - 5 = -l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 5 + (-22 + 87 + 24)*(5 + 0 - 4))*(5*l - 3*l - 6*l).\nAnswer: -344*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 44 + 2 + 360\/60. What is the greatest common divisor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 176033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 495 and 39435?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 5:35 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 466?\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1))**(3\/11))**(-5\/9) assuming g is positive.\nAnswer: g**(-10\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**2 - 99*p**3 - 7*p + 34*p**3 + 0*p - 5*p - 18*p**3 wrt p?\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9882677168 and 165.\nAnswer: -9882677003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 7 = -2*q, 4*q + 0 = 3*v + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -236*a - 788. Is x(-56) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 + 3*m - 4. Let w be n(1). Sort -5, w, 1, -1.\nAnswer: -5, w, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/12)\/(10\/8).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2018, 3998, 5978, 7958, 9938?\nAnswer: 11918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115220?\nAnswer: 2, 5, 7, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 245472 to the power of 1\/2, to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -4.2. Which is the closest to 1\/3? (a) 0 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 + 38. Let m = -118 + g. Solve -n - 32 = 5*l - 12, n = m*l + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-295)\/((-3835)\/(-1066)))\/(-2 - -1)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-79)\/(-13 + 3 + 4) and -40\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1467 - 1164. What is the remainder when f is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor f - 7*f**4 - 14*f**2 + 17*f**4 - 6*f**3 + 11 - 7 + 5*f.\nAnswer: 2*(f - 1)**2*(f + 1)*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 14*u - 8. Let f be b(13). Solve 3*n - f = 4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3900 by 260.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54480*o**3 - 19338*o**3 + 2*o**2 - 2*o**2.\nAnswer: -73818*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10548 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3*c + 0)*(867*c**2 + 874*c**2 + 166 - 1742*c**2 - 4*c) to the form d*c + i*c**3 + p + r*c**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbiibbbiiibibibibii. What is prob of sequence ib?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1328 + -1374. Which is the nearest to p? (a) -0.1 (b) 5 (c) -7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109*b - 48*b - 38*b + 1)*(-7*b**3 + 34*b**3 - 4*b**3).\nAnswer: 529*b**4 + 23*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/140*(-2)\/(-3)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 0 - 266*f + 0 + 263*f. Let n(s) be the first derivative of -s**5\/60 - s**2 + 1. Let b(v) be the second derivative of n(v). What is x(b(k))?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - 6 - (74 - 63)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 6. Let w be 2\/(-4)*(-5)\/(-10). What is the biggest value in w, -6, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10958 (base 10) to base 16.\nAnswer: 2ace","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 803964 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: Simplify (m*m*m**(2\/11)\/m*m*m*m*m*m*m**(-6\/7))**(-46)*(m*(m\/(m**(2\/3)*m)*m*m)\/m)**(-2\/93)*(m\/(m**(2\/7)*m*m))**7 assuming m is positive.\nAnswer: m**(-5455903\/21483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 18. Suppose -a - 29 = -2*w. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 3:26 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*r - 9. Let c be (6\/r)\/((-21)\/(-140)). Calculate the highest common divisor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 542307 and 861?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 25*z**3 + 2*z**2 - 6*z - 9. Let c(j) = 74*j**3 + 6*j**2 - 17*j - 28. Let d(f) = -2*c(f) + 7*k(f). Is d(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*x - 5 = 0. Let c be (-44)\/(-6) - (-4 - 20\/(-6)). Solve -3 + c = -x*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 3*z + 7. Calculate j(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjw when three letters picked without replacement from iozjwjijzzoozqwozz.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/56*13986\/(-1295)*(-10)\/18.\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.77665 years in centuries?\nAnswer: 0.9177665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 7*s**4\/24 - s**3\/6 - s**2. Let t = 7284 - 7281. What is the least common multiple of q(4) and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-924)\/363*11 + 49 - -25\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 2:25 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 11*w**5\/4 + 1196*w - 3. Let u(r) = 8*r**3. What is 3*b(f) - 20*u(f)?\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(-2*x**4 + 0 + 0) - 7*x**4 - 31*x**4 + 17*x**4.\nAnswer: -19*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*k - 159. What are the prime factors of 11\/(k\/(-120)) + -2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j**2 - 5*j**2 + 9*j**2 + 1 - j - 2*j**2. Let u be o(2). Suppose -5*y - 56 = -2*z - 2*y, -z + 5*y + u = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 1. Let v be a(-5). Let n be ((-9)\/3)\/((-3)\/16). What is the highest common divisor of n and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 8 - (65 + -56).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 5\/3*a**3 + 0*a + 1\/5*a**5 + a**2 + a**4 + 22. Factor f(p).\nAnswer: p*(p + 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4423, -8803, -13179, -17551, -21919?\nAnswer: -26283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16815 - -370019\/22. Calculate the common denominator of u and -1\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 17*f**2 + 28*f - 20. Determine m(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 k when three letters picked without replacement from kfufeuurfr.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 7:00 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cnnnnccnnnnn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1051782 and 115125.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566013 greater than 1566014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 0)*(0*k + 0*k + k) + (-6*k + 4*k + 0*k)*(40 - 347 - 263).\nAnswer: 1142*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 3*s - 1 + 1 + 3. Suppose 2*w - 7 + 15 = -2*n, -16 = -w + 4*n. Suppose -5*f = -w + 15. Calculate x(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239*l**3 + 64*l**2 + 241*l**3 - 64*l**2 - 499*l**3.\nAnswer: -19*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*o = -73*o - 14. Suppose 0 = -h - o*h + 24. Factor 15 + 10*c**2 - 35*c + 15*c**2 + 3*c**3 + 0*c**3 - 8*c**h.\nAnswer: -5*(c - 3)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30567769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.8957 rounded to one dp?\nAnswer: 62.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23066213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 69*b + 2. Let n be z(3). Let t = n - 96. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6)*(-10)\/75*-5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve sevenths of a week in hours?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -13, -762, 0.4 in descending order.\nAnswer: 29, 0.4, -13, -762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9 + 12 + -1 + 1. Let j be (k - 4\/3)*27. Suppose -3*b - 2*q + j = -48, -5*b = 4*q - 155. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 223 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 16860.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -162.56822 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*s - 595856*s**3 - 217*s + 595853*s**3.\nAnswer: -3*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from kvv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 12*w**2 + 0*w**5 + 0*w**4 + 0*w**3 + 2*w + 15\/2*w**6 + 78. What is the second derivative of c(x) wrt x?\nAnswer: 900*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73291?\nAnswer: 73291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 6*k**2 - 10*k + 17. Give i(6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 190672, 762700, 1716080, 3050812?\n\"Answer: 190676*d**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (1*sqrt(128) - sqrt(128)) + sqrt(128) + -4 + sqrt(128) + -1*sqrt(128) + sqrt(128) + sqrt(128) - (3 + (sqrt(128) + 3 - sqrt(128)))*1)**2.\nAnswer: -5284 + 2496*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 12*z**2 - 76*z - 6. Suppose 2*i - 5*i = -39. What is the remainder when t(7) is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 199567653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a073aa + -5?\nAnswer: -a073b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 - 66. Let h(q) = -q**3 - 6*q**2 + 18*q + 19. Let c be h(b). Solve -t = -c, -2*t = 5*g + 6 - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148350 divided by -49450\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/86 in -0.9, -0.4, -1\/3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g**4 - g**4 + g**4)*(-5 + 0 - 2) + (21*g**2 - 21*g**2 - 7*g**3)*(2*g - g + 0*g) to the form q*g**3 + b*g**4 + n*g + d*g**2 + z and give b.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1983\/22351 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llld when four letters picked without replacement from pxlxlpldxpxxd?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2 + 2999680*a - 38995671 = 0.\nAnswer: 13, 2999667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 376 + -349. Suppose 4*b - 25*u = -g*u - 12, -2*b + 5*u = 6. Sort 8, -2, b, 5.\nAnswer: b, -2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/30)\/(1*-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**3 + 11*i**2 + 8134*i + 40686. What is g(-5)?\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*f**2 + 8*f**2 + 51*f**3 - 53*f**3 in the form d*f**3 + i*f**2 + q*f + k and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 84217 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/2335087 and 55\/2.\nAnswer: 4670174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520*b - 518*b - 6 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 divided by 5?\nAnswer: 172\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686685713?\nAnswer: 7, 98097959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 250115 (base 6) to base 10\nAnswer: 22079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 5*k - 220. Let o = k + 48. Suppose o*r = 3*d - 51, 4*d - 124 = -4*r - 28. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, w: 2}. What is prob of picking 2 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143861 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 2*p + 10, -3*k - p - 7 = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 847 + -845. Solve -4*w = k + k - t, -4*k + 2*w - 6 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42 at most 0.121557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236*n + 236*n - 88242 = 451*n. What is the remainder when n is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 134*n**3 + 66760*n**2 + 26323130*n?\nAnswer: 804*n + 133520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h - 3. Let l(z) = -z + 1. Calculate l(p) - 3*t(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 - 601*a - 7942. What is k(-13)?\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/14*469\/268?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = -5*s - 55. Let z = s + 65. Let r(c) = -7*c. Determine r(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.4 (b) -0.22 (c) 200 (d) -3 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 980566289?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123444333032 - 1?\nAnswer: 123444333031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 10:08 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -265 + 716. Suppose -n = -2*w + 501. What is the highest common factor of 56 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/115 and (-5)\/(-50) - 244\/60*-3.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 4*k - 3. Let b be d(-5). Solve 3 + b = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43481 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1314.5091 - -1314. Let f = 0.509096643 + k. Round f to 7 decimal places.\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12839272 rounded to the nearest 10000?\nAnswer: 12840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3 - 269*c**2 + 545*c + 813 = 0.\nAnswer: -271, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 25. Let x(d) = -d. Let h(s) = -6*s. Let n(y) = -h(y) + 5*x(y). Let m(p) = -5*p + 3. What is q*m(o) - 6*n(o)?\nAnswer: -o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c. Let f be v(-5). Solve -2*m - f*h = -14, -m = 4*h - 0 - 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 2. Let c = -4.6 - -4. Let a = 0.4 - c. Which is smaller: p or a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44482850.2 to the nearest 1000000.\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 15. Let w(r) = r**2 + 3*r - 5. Let s be w(k). Let o(n) = -n**2 + 1 - 1 + s*n + 3 - 1. Calculate o(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + ((-12)\/18 - 8\/(-3)). Let s(v) = 8*v**2 - 7*v + 14. List the prime factors of s(b).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(99))*2 - 3*(sqrt(396))**2) + 2 + -6*((sqrt(275) - (4 + sqrt(275)*-1))**2 + 1*sqrt(275)*5).\nAnswer: -7882 + 326*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + ((sqrt(272) + 2)*-1 - (-2 + sqrt(272) + -2 + sqrt(272))))*-6.\nAnswer: 11 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q - 8*q = -52 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b**2*b)\/b*b))**50*(b**(-3\/5)*b)**(-17) assuming b is positive.\nAnswer: b**(-784\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 0 - z**5 + 0*z**4 - 25*z - 10\/3*z**3 + 0*z**2. Find the second derivative of u(t) wrt t.\nAnswer: -120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-9)\/(27\/(-12)). Let p(d) = -d**3 + 3*d**2 - 3*d + 5. Let r(z) = 2*z**3 - 5*z**2 + 5*z - 9. Suppose 0 = -11*k - 8 + 63. Calculate k*p(q) + t*r(q).\nAnswer: q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -4\/7, 0.18, 74, 13\/2, 3\/7 in decreasing order.\nAnswer: 74, 13\/2, 3\/7, 0.18, -4\/7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1012 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 212033540?\nAnswer: -212033543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -8*y**2 + y + 2. Suppose -26*o + 7*o + 95 = 0. Suppose -3*r = 5*b + 15 - 16, 25 = o*b - 5*r. Give i(b).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**1*g)**(-3)*g\/(g**11*g)*g*g**(22\/3) assuming g is positive.\nAnswer: g**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 104*d**4 - 14*d + 3612 + 195*d + 226*d - 3612 wrt d?\nAnswer: 1248*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62187163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-4) + -5 + 3. Suppose 3*c = x*f - 341, -c = 3*f + 2*c - 489. What are the prime factors of f?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259640 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -21101531 (base 6) to base 10\nAnswer: -614719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 949 = 157. Suppose -447 = -5*z + 2*r, 0*z - 4*r = 2*z - x. Calculate the highest common divisor of 13 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138 + -130 + -3 + -3 + 37.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2122 - 2112. What is the remainder when 899 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2. Let f(q) = -q**2 - 5*q - 4. Let y(n) = f(n) - 2*m(n). List the prime factors of y(8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-1)*(-9)\/(-18). Suppose 2*x - u*x = 2*q - 364, 3*q - 565 = 2*x. Let j = -92 + q. What are the prime factors of j?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 4*w + 0 - 5*w as f + v*w and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 1, -31\/6, 0, -4\/13, -3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 4\/21 (c) -0.1 (d) 1 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -1181.\nAnswer: 3\/1181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16.7 - -16. Let i = g + 2.7. Which is the nearest to -0.2? (a) i (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-4)*684\/(-1881)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*v**2 - 1 - 187*v**2 - 199*v**2.\nAnswer: -347*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 4:30 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(28\/4))\/((-10)\/(-10)))\/(-1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.046 times 0.06?\nAnswer: -0.00276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11321656 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and 210.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/7 + (-1 - -9). Let r(h) = -h**2 + 5*h + 12. Let s be r(x). What is the units digit of (36\/10)\/(s\/90)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7*a + 5. Let g be m(-7). Suppose 3*h - 216 = -4*d, -h - 2*h = d - g. Suppose d + 38 = 4*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92 - -110. What is the hundreds digit of (s\/(-1))\/(5 - (4 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubjurjurcjcbbbuc. Give prob of sequence rc.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58976 = -6*g + 3238. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 14*d - 9. Let s(q) be the first derivative of -5*q**2\/2 + 3*q - 6. Let j(b) = -6*r(b) - 17*s(b). Let k(h) = -3*h - 1. Let z be k(2). Calculate j(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*r - 4*r. Find the third derivative of 29 + 3*g**2 - 18 + 10*g**4 - r wrt g.\nAnswer: 240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7785 divided by 36?\nAnswer: 865\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + -b2b30?\nAnswer: -b2b23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 31*m**2 - 82*m + 1498. What is the remainder when u(26) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-2 + -4 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22 - 4 - 1 - (-17)\/((-136)\/16). Let n = -15 - -51. Let r = n - h. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uabuouobbaub. Give prob of picking 2 a.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 11:30 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 38. Suppose 0 = -4*v + 5*n - 14, 0 = -3*v + 5*v - 3*n + 8. Let z be (60\/(k + -3))\/(v - 0). Solve -3*x = 2*x - z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-102250)\/1227)\/((-50)\/15).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 1, 5, 2\/13, -10\/23?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 10999.\nAnswer: -10\/10999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 135, 160, 183, 204, 223?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -31304.8+-7489677\nAnswer: -7520981.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15104610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 215 or 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 3 (b) -2\/7 (c) 2\/3 (d) 22 (e) 1.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, d: 1, z: 1, v: 5, x: 1, g: 5}. What is prob of picking 1 z and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 7*k + 4*k - 18, -36 = -5*r - k. Let l = r + -6. Suppose -3*p + 0 = -4*m - 3, p = -3*m + l. Solve -4*w - 4 = -z, -w - z - p = 4*z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*s + 2. What is the common denominator of (215\/(-200))\/((-18)\/8 + 2) and (s\/4)\/((-117)\/(-637))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*f + 27, 0 = -5*i + i - 5*f - 29. Let c(g) = 2*g - 3*g - 20*g**3 - 2*g**2 + 7*g**3. Is c(i) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 13) to base 16.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 10*o - 17. Let w(b) = -1. Let y(g) = 3. Let s(j) = -2*w(j) - y(j). Let a(r) = 6*s(r) - t(r). Let l be a(-9). Solve l - 7 = -5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 32*s - 9. Is a(4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 greater than 2942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 698*o = 22772 + 2356 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6709*a**4 - 4*a**2 + 9*a + 106?\nAnswer: 161016*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-28)\/(-728))\/((-3)\/12). Let z(s) = -2*s + 38. Let m be z(21). Which is the closest to m? (a) 7\/5 (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-6)*v)\/(v*v**(6\/13)\/v))\/(v**1*(v*v**(-6))\/v))**19 assuming v is positive.\nAnswer: v**(-114\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 31*n**2 - 9*n + 28. Let s(u) = 15*u**2 - 4*u + 13. Let h(v) = 6*f(v) - 13*s(v). What is h(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 40?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -7*s**3 - 7*s**2 + 5*s - 13. Let a(j) = 4*j**3 + 3*j**2 - 2*j + 7. Let t(q) = 5*a(q) + 3*z(q). What is the tens digit of t(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011110 (base 2) in base 16?\nAnswer: -5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + n + 2*n)*(7 - 6 + 22) - 4*n + 2*n + 3*n.\nAnswer: 70*n + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**2*w**3 - d**2*w**2 - d**2*w - 13*d*w**2 - 129*w**6 wrt w.\nAnswer: 6*d**2 - 15480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3167955 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95\/3 + 32. Is 20 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**2 + 2*s**3 - 4*s**3 + 5*s**2 + 4 + s**3. Let l be i(9). Solve -l*f + 0 = 5*a + 3, 2*f = -2*a - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4384725 days to seconds.\nAnswer: 37884.024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719730 is divided by 179900?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -3. Suppose p + 4*p = -w. Let b(t) = 13*t**2 - 2*t - 1. Is 6 a factor of b(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1916 + -1915. What is the lowest common multiple of 1468 and w?\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1243*s = -974*s + 2187*s - 56488 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 518875\/76 or 6826?\nAnswer: 518875\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1704 = 3*g - 2*i - i, g - 2*i - 568 = 0. Let q be (-3)\/(3 + (-1698)\/g). Is (-3 + 0)*q\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75.1 - -81. Let i = 5.87405 + -0.07105. Let f = l - i. Round f to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293072 is divided by 146534.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1268356 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 4*i - 2*i + 13, 0 = w + 3*i - 6. Suppose -3*p + 3*u - 5*u + 19 = 0, -15 = -w*u. Put p, 0, 5 in decreasing order.\nAnswer: 5, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 35 - (4 + 4)\/(-2). Suppose 0 = -3*l - 2*t + 49, -l - t = -6*t - w. Suppose -16*a + l*a - 9 = 0. Solve -a*z - 5*i = 31, 0 = -2*z + 4*i + 18 - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4768 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-118)\/(-10) - (-18)\/90. Suppose -1328 = h*y - 16*y. What is the remainder when 0 - (-6)\/9 - y\/(-6) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 64*i**2 + 100*i - 507. Let c be w(5). What is the highest common divisor of c and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 + 0.22. Let h = 12589\/9 + -1399. Which is the second smallest value? (a) o (b) h (c) -5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 695428 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 + 127*y**2 - 4*y + 3825. Calculate b(-64).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 2\/3, -2\/15, -1\/9224, 1 in increasing order.\nAnswer: -4, -2\/15, -1\/9224, 2\/3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 17*q**4 - 8*q**4 + 3*q**3 - 6*q**4 + 1 to w*q**3 + c*q + s + m*q**4 + v*q**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1419*b + 3064*b - 1646*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-6))*p*(p\/p**(-2\/5))\/p)\/((p*p**3)\/p*p**(-2\/7)))**21 assuming p is positive.\nAnswer: p**(492\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a + 9*a - 2 - 9*a + 9.\nAnswer: -8*a + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3*w + 10, -4*j + w = -7*j + 6. Let s be 0\/(j - -2 - 2). Suppose s = 3*q - 17 - 97. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.232*-4.58.\nAnswer: -1.06256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6827 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**1)*p)\/p*p\/p**18)\/((p**(-3\/11)\/p)\/p*p)**(-3\/2) assuming p is positive.\nAnswer: p**(-197\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, g: 6}. What is prob of sequence gg?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y + 22. Let v(x) = -110*x + 825. Let l(p) = 75*c(p) - 2*v(p). Let t(q) = -94*q**2. Calculate t(l(m)).\nAnswer: -2350*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 1)*(3 + v - 3) + (-v + 5*v - 3*v)*(-3 + 2 - 4).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/151 + -614\/755. Which is the nearest to -1\/3? (a) n (b) 3\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**3*n*(n*n**(-4))\/n)**(-36) assuming n is positive.\nAnswer: n**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6942 is divided by 230?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 10*u - 4. Suppose 17 = -7*d + 80. Let s be z(d). Suppose -s*x = 2*j - 87, 3*j - x - 148 = -5*x. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, d: 5, e: 3, x: 8, j: 2}. What is prob of sequence jxwd?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 65 = 43. Let s = j + 152. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 2*k**2 + 13*k - 24. Determine c(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 + 44*t**2 - 3*t + 1. Suppose -45*o + 713 + 277 = 0. What is r(o)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = w - 9. Let s(b) = -b - 19. Calculate s(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 - -1987?\nAnswer: 199b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 82\/9*t**2 + 0*t - 166\/9*t**3 - 2\/9*t**5 + 86\/9*t**4 + 0 = 0.\nAnswer: 0, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvvl when four letters picked without replacement from bablbfvllvvffvvblff?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -72320 divided by -4520\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*u**2 + 0*u**2 + u**2)*(4*u + 2 - 9*u + 3*u) + 25*u - u**3 - 25*u in the form f + r*u**3 + p*u + v*u**2 and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 27*d + 26 - 25 + 89.\nAnswer: 27*d + 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -313*d**3 - 21*d**2. Let x(s) = -3*s**3 + s**2 + 1. Let k(l) = -o(l) + 2*x(l). Find the third derivative of k(g) wrt g.\nAnswer: 1842","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/52 and -101\/1092.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o**2 - 11*o - 8. Let p(z) = 4*z**2 - 10*z - 7. Let t(k) = -3*n(k) + 4*p(k). Let m be t(8). Is m + -2 + 2 + 467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 2*m**2 + 1\/10*m**5 - 1\/120*m**6 + 0*m + 0 - 1\/6*m**4 - 5\/6*m**3. Let z be s(5). Solve z = 5*f - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)\/(k\/(k\/k**(-9\/2))))\/(k**(1\/3))**(-28\/9) assuming k is positive.\nAnswer: k**(191\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 626920 and 36612128?\nAnswer: 183060640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127.48 - -16.42. Let s = 144 - t. Let k = 17 - 18. What is the closest to -0.1 in s, 4\/3, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566378179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 190, 472, 942, 1600, 2446?\n\"Answer: 94*t**2 + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 178 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*u - 23 - 2*u**3 + 167*u - 51*u - 59*u to b + t*u + l*u**2 + h*u**3 and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -5*v**5\/4 - 1755*v**4\/4 - 48315*v**3\/2 - 682085*v**2\/2 + 3025275*v\/4 - 1562715\/4 = 0.\nAnswer: -287, -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 6*n**2 + 3*n + 3. Let k be d(-5). Let m = 31 - k. Suppose l = -i + m, 4*i - 4*l - 50 = 6. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34209 + -19966. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, p: 4, v: 2}. What is prob of picking 1 q and 1 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*i = 4*i + 6*i + 220. Solve -i*v - 8 = -74 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((-122 - -134) + -3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -303800, -303788, -303772, -303752, -303728, -303700, -303668?\nAnswer: -303632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*s + 25, c - 28 = 2*s - 7*s. Let g(a) = -2. Let x(l) = l - 3. Let f(i) = c*x(i) - 2*g(i). Calculate f(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*((-4)\/(-2) - -16). Suppose -7*m + k = -4*m. Let v be (-155)\/4*3\/m - -4. Sort v, 5, -3 in descending order.\nAnswer: 5, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1955 to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 8. Suppose 5*n - 23 - w = 0. Suppose 0 = 3*o - o - 3*r - 56, 3*r - 98 = -n*o. Calculate the greatest common divisor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6741 divided by 9?\nAnswer: -749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y + 10*y = 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1638397.\nAnswer: 37, 44281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.99 - -0.01. Let m = t - 8. What is the closest to 1\/4 in 1, m, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 106425?\nAnswer: 106427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/(-14))\/((-2)\/8) + 2774. Find the common denominator of -67\/20 and (-8)\/(-10) - m\/240.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*a = 16. Suppose 0 = 3*m + 3*s + 10 + 2, -s = -3*m + a. Let o = m + 3. Let w(y) = 4*y + 3. Let v(n) = 9*n + 7. Give o*v(r) - 7*w(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*b = -8. Suppose -w - 40 = -9*w. Suppose -b*r + 0*g + 37599990 = 5*g, 4*g = -w*r + 93999992. Round r to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 395.8? (a) -2 (b) 1 (c) -3 (d) -19 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.36 - -0.23. Let h = r + -3.87. Let w = 56 + -282\/5. What is the closest to 2 in -2, h, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00288522391 to 5 dps.\nAnswer: -0.00289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -11, -13, -15, -17, -19?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -4\/7, 16, -0.2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 2*x**3 - 2*x)*(28295 + 72663 - 40291 + 49846 + 34929).\nAnswer: 290884*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/((m\/m**11)\/m)*m))**(-3\/7) assuming m is positive.\nAnswer: m**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/(r*r**(1\/5)))\/r*r*r\/(r**10\/r)*r\/r**10*r*r\/(((r\/(r\/r**(-11)*r))\/r)\/r))**(-7\/4) assuming r is positive.\nAnswer: r**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*1\/9)\/((-14292)\/643140).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**2 - 3*u**2 + 2*u**2 + (4 + 1 - 4)*(5*u + 0*u - 4*u)*(227 + 52 + 85)*(u - 3 + 3).\nAnswer: 365*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4010 + -7\nAnswer: 4003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*v - 6. Let k = -10 + 6. Let i = -3 + 5. Which is the biggest value? (a) i (b) v (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*g**2 + 95*g**2 + 119*g**2.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 5*y**2 - 8*y - 7. Let l be g(-6). Suppose 3*o - 140 = -l*k - 37, -61 = -3*k - o. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, a: 1, p: 1, j: 3, n: 5, d: 4}. Give prob of sequence jn.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -107 - -50. Let l = 126 + c. What are the prime factors of l?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 3\/(9\/114). Let s = 53 + h. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -48. Let x = -29 - p. Let d = 162 - 187. What is the nearest to x in d, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1991, -8101, -18309, -32615, -51019?\n\"Answer: -2049*z**2 + 37*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 33197, 5, -10, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/1608 + (-1)\/(-36)*-6 and 261\/(-10) + (-2)\/5?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**5 + 9*i**4 - 9*i**3 - 16*i**2 - 7. Let r(l) = 7*l**2 - 15*l**2 - 5 + 6*l**4 - 3*l**2 - 6*l**3 + l**5. Let b(m) = -7*r(m) + 5*t(m). Factor b(y).\nAnswer: 3*y**2*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-290)\/(-144))\/(-5) + 298\/(-1341).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5084 - 5083. Let p = 5 + -9. Let b = p - -4. What is the nearest to b in 5, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (312*x + 167*x - 9*x)*(x**3 + x**3 + x**3).\nAnswer: 1410*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 70 = 4*u + 29, 2*r - 34 = 4*u. Which is smaller: r or 16?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suqu when four letters picked without replacement from llsusqlul?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3375 divided by -675\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*l - 8. Let s = -388347\/28 - -13866. Find the common denominator of s and (142\/(-24)*l)\/4.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.21*4\nAnswer: -4.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 z when two letters picked without replacement from {r: 5, p: 3, z: 3}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/12 and -75\/436.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3\/((n*n**12*n*n)\/n*n)*(n\/(n\/((n*(n*n\/((n*n**(2\/49))\/n))\/n*n)\/n*n)))\/(n**(-4\/11)*n))**(2\/15) assuming n is positive.\nAnswer: n**(-10432\/8085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k**(-25)\/k)\/k)\/k**(-1\/5)*k**18*(k**2*k)\/k assuming k is positive.\nAnswer: k**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1039658 to the nearest integer?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94278 is divided by 47116.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -15*t**2 + 22*t**2 + 15*t**2 + 3*t**2. Let d(f) = -f**2. What is d(p(x))?\nAnswer: -625*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(98) + sqrt(98)*-2))**2 - (4 + sqrt(567) + 3)**2.\nAnswer: -4311\/7 - 126*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and 304.19?\nAnswer: -212.933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.06 - 0.94. Let j(q) = q**3 - 2*q**2 - 2*q - 3. Let i be j(3). Let y = i + 1. What is the nearest to 1\/2 in y, -0.2, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/10)\/((-7)\/14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d*d**(-1\/6)*d)\/(d\/(d*d*d\/(d*d**(-2\/3)\/d))))\/(d**(1\/6)\/d**(-1)))**(-4\/13) assuming d is positive.\nAnswer: d**(-64\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -186267 + 468004. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*d**6 - 2025826*d**4 + 9*d**2 + 1103*d + 824?\nAnswer: -2160*d**3 - 48619824*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -9.08 and 0.059.\nAnswer: -9.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8326 - -8347. What is the remainder when 941 is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1856 + 1853. Sort i, -0.4, 232, -2\/3.\nAnswer: i, -2\/3, -0.4, 232","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h. Let t be n(-4). Suppose 313*c - 308*c - 4*x = 30, 3*c = x + 18. Solve -19*b + t*b = -c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-15) - 2) + -17 + 1596\/95. Let u(g) = 190*g**2. Let c(d) = 7*d**2. Calculate v*u(k) + 80*c(k).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 + 5*q**3 - 3*q**3 + (2*q**3 - 2*q**3 - 2*q**3)*(59 + 7 + 125) in the form u*q + l*q**2 + a + g*q**3 and give g.\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**3 - 2*h**3 - 3 + 6*h**2 + 4*h**3 + 5 in the form k*h + l*h**2 + q + m*h**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (8 + 7)) + (18 - 49)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -35032412 (base 7) in base 9?\nAnswer: -5684072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24966679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 558 - 58. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -23746?\nAnswer: 23744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 - 1343*k - 6666. Calculate q(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4078720 and 10880.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 195495239 a multiple of 5267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 37*y**4\/12 - 2*y**2 - 182. Determine v(1).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70025639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + -36.9. Let v = -3 + 6. Which is the nearest to x? (a) -2 (b) v (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(208)*1 + sqrt(208))**2*-4 + (sqrt(208) - ((1*sqrt(208))**2 + sqrt(208) + 1) - (sqrt(208) + 1)*2).\nAnswer: -7699 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - w + 2*w + (5 + 6 - 5)*(w + 2*w - w) + 0*w - w + 3*w)*(-3*w - 3*w**3 + 3*w) + 2 - w**4 - 2 + (w - 5*w + 3*w)*(-5*w**3 + 3*w**3 - w**3).\nAnswer: -37*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -324*b - 193892 + 195512 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00576 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -17*y + 7. Let f be 2 + 76\/(-16) - -3. Which is the closest to f? (a) 0.01 (b) -1 (c) y (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0583*153.\nAnswer: -8.9199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l + 15 + 10 - 15 to the form p*l + b and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 956341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u**3 - 5*u**2 - u + 7. Suppose 5*r = 3*w + 18, 0 = 3*r - 4*w - 1 - 1. Suppose 4*b + l = 5*b, -3*b - r = -l. What is the units digit of o(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x + 24*x - 10 = -3*q - 0*q, 5*q = -23*x + 130 + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-7\/5)\/j))**(-9) assuming j is positive.\nAnswer: j**(-153\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**4 + 6*j - 12 - 7*j + 0*j**4 to the form o + f*j**4 + i*j**2 + h*j + b*j**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 123 and 1370794.\nAnswer: 4112382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45.888 + 46. Let t = n + 0.088. Let k = 15.6 + -16.1. What is the nearest to -0.1 in k, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-1433.\nAnswer: -429.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -557*u**2 - 10. Let k(a) = -555*a**2 - 8. Give -3*d(v) + 4*k(v).\nAnswer: -549*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 9*x**2 + 15*x + 14. Let s be c(7). Solve -m - 1 = 5*p + s, 5*p = 5*m - 40 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in 2\/7, 3\/8, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -3*c - 20, 2*g + 288 - 242 = 12*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 198 - 128 = 0. Calculate the highest common divisor of 1410 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -11504*a - 80549. Calculate p(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y**3 - 249 + 0*y**2 + y**2 + 102 + 147.\nAnswer: 15*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*v + 23 + 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 9*i - 21. Let p be u(11). Find the common denominator of 627\/90 + (-4 - (0 - 3)) and p\/4*-291*(-2)\/(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -110*v + 114*v + 24 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 1387, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 - l. Suppose 0 = -2*p - 0*p + 44. Let q = p - 23. Determine a(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/6)\/(4\/(-8)). Sort 4, -5, v.\nAnswer: -5, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -6*x + 134. Suppose -g - 1 = 0, -2*g - 3*g = 4*n - 19. Suppose -n*k + 8*k = 46. What is the remainder when x is divided by k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 25*s - 21*s + 15540, h + 2*s = 3885. Let c = h - -21004. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**4 + 272*a**3 - 2048*a**2 = 0.\nAnswer: 0, 8, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4 = -64. Suppose -3*f + 36 = q - 2*q, f = q + 14. What is the remainder when i is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 12:44 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 12*b**2 - 13*b + 27. Let v be n(11). Suppose 235 = r - v*p, -2*p - 350 = -4*r + 608. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-3)\/(-4)) + (-27)\/7\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3762 and 399.\nAnswer: 26334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2332536598?\nAnswer: 2, 7, 7643, 21799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -1. Let h be 0\/(-2) - 2\/(-22). Let p = 0.12 - 4.12. Which is the third smallest value? (a) p (b) y (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8*(5\/(-4))\/1. Suppose 2*i + j = 7*i. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/7 (b) 4 (c) -20.8 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -90*j - 17. Let o(q) = 4*q**3 + 112*q**2 - 121*q - 104. What is the remainder when z(-7) is divided by o(-29)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**4\/12 + s**3 - 3*s**2 + 2*s. Let k be j(4). Suppose k*v = -3*v. Solve v = 5*h + 3 + 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42888798 a multiple of 1006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 8*s - 8. Let p be v(-6). Suppose d = p*d + 9. Let y = 85\/3 - 29. Which is the closest to y? (a) 4 (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 198871?\nAnswer: 1988710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21*r**2*s - 2788499*r**2 - 11309*r*s**4 wrt s.\nAnswer: 21*r**2 - 45236*r*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yf when two letters picked without replacement from {p: 6, r: 1, n: 4, b: 3, y: 2, f: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3202 (base 5) to base 7.\nAnswer: -1150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8509 - 14626?\nAnswer: -8119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.3 + 8. Let z = -7 + 6.7. Let w = n + z. Which is the third smallest value? (a) -0.5 (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -336317 times -14.6\nAnswer: 4910228.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.051 - -0.449. Put -5\/2, q, -0.2 in descending order.\nAnswer: q, -0.2, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40183019.\nAnswer: 17, 2363707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 0, -30, -80, -150?\n\"Answer: -10*c**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03919 + 5.03919. Which is the third biggest value? (a) i (b) 3 (c) 0.5 (d) 0.117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27802.2 to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in six fifths of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -27 - (6 + -24 + 18)) + -4\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -0.18 (b) 52 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -112317\nAnswer: -561585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 649 is divided by 321.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4, -4*t + t = 2*q - 29. Let v(u) = u + 10. What is the lowest common multiple of t and v(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven quarters of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s*s*s**(-5)\/s)**(28\/9))**(-1\/14))**(-2\/67))**(-46) assuming s is positive.\nAnswer: s**(184\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 559 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/4 + 3 + 15\/6. Let l(g) = 1300*g**2 - g + 2. Let h be l(1). Suppose f*a - h = -3. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 6*d**2 - 2*d - 8. Let f be l(-6). Suppose 0 = -2*h - 2, 0*h + 4 = o + f*h. What is the highest common factor of 24 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 276, 4, -28, -3 in descending order.\nAnswer: 276, 4, 3, -2, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18938\/8 - (0 - (-12)\/48). What is the greatest common divisor of 45 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1747?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**3 + 3 + 3*k**4 - 6*k - 2*k + 9 - 8 - 2*k**2 - 5 to the form l*k**3 + i*k + x*k**2 + z + n*k**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -17637?\nAnswer: -1763.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2103 > -2103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23234142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**3 + y**2 + y - 14. Let n(m) = -4*m**3 - m**2 - m + 15. Let j(a) = -5*k(a) - 4*n(a). Let u(g) = 6*g - 36. Let t be u(6). Give j(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2501119?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**2. Let a(y) = -23*y**2 - 34*y + 17. Let j(q) = 8*q**2 + 12*q - 6. Let f(v) = 6*a(v) + 17*j(v). What is g(f(x))?\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.4397828 + 441.204.\nAnswer: 443.6437828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 452650 and 362120?\nAnswer: 1810600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*w = 33, 4*b + 4*w - 5 = -1. Let m be (6\/9)\/(b\/12) + 7. Solve -p + 5 = j - 2*p, j - m = 3*p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4 + (-1 + sqrt(1008) - (sqrt(7) - (sqrt(847) - (sqrt(847) - 1*sqrt(847))))) + 4 + sqrt(700) + -1 + sqrt(7) + 4)*-3.\nAnswer: -99*sqrt(7) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 10, m: 9}. Give prob of picking 3 m and 1 y.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b - 5. Let r be x(-4). Solve 5 = 3*c + r*s - 2*s, -2*c = -2*s + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3\/6 + 246*r**2 + 16823*r\/2 + 24497\/3 = 0. Calculate r.\nAnswer: -1441, -34, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 4, -675 in decreasing order.\nAnswer: 4, 3, -5, -675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 273, 277, 281, 285?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**8\/(y\/(y**(-2\/11)\/y)))\/((y**(-1)*y*y)\/y**(-2\/13)))**(-7\/8) assuming y is positive.\nAnswer: y**(-4669\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 8 = 5750*p - 5755*p + 2*f, -2*p + 5*p - 5*f + 4 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/21 + 30\/7*b**3 - 2\/21*b**2 - 30\/7*b = 0. Calculate b.\nAnswer: -1, 1\/45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00022769 to 5 decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 79905493789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1911) - (sqrt(1911) + sqrt(1911)*2*3))\/(sqrt(24)\/(sqrt(72)\/(3*sqrt(9)))) + 2.\nAnswer: -14*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -280607*z**2. Let u(q) = 2*q. Give u(a(o)).\nAnswer: -561214*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -258*d**4 + 0*d**2 + 259*d**4 + 2*d**2 + d**2. Let i(t) = t**4 + 4*t**2. Let n(p) = -4*i(p) + 5*u(p). Suppose n(g) = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 470\/9 - 110\/495. Solve f*z = 47*z - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**2 + 9*z**2 + 2 - 3*z**4 - 12*z**2 to a*z**4 + d*z + v*z**2 + o + f*z**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*m - 8*m + 5. Let h be (-4)\/m + 412 - 3. Suppose -l - 521 = -2*p + 295, -h = -p - 2*l. Is p 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 14860 and 453340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10929728.\nAnswer: 2, 170777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1320 divided by -3.\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97474757 is divided by 7003.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1341\/13857)\/(66\/124)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -466, 1, -4 in descending order.\nAnswer: 1, -2, -4, -5, -466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000022531234 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v + 31. Calculate n(-14).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70442386?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -38. Let m(l) be the second derivative of 0*l**3 + 0 - 3*l - 1\/4*l**4 + 0*l**2 - 1\/10*l**6 + 0*l**p. What is the third derivative of m(q) wrt q?\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**3 + 14*i**2 - 15*i - 27. Let y be g(-11). Let q = 1180 + y. What is the third derivative of 21*k**2 + 350*k - q*k - 12*k**3 wrt k?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/7)*i*i**(-2\/25))\/((i*i**(-11)*i)\/i**(3\/5)) assuming i is positive.\nAnswer: i**(1766\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 - 3*s - 2. Let x(c) = 13*c**2 - 16*c - 7. Let d(a) = 14*a**2 - 16*a - 8. Let t(n) = 3*d(n) - 2*x(n). What is 11*j(r) - 2*t(r)?\nAnswer: r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43999689*h**3 + 12*h**2 - 86614*h - 6 wrt h?\nAnswer: 263998134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 + -55.3. Do o and -2.8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -2\/33 (c) 1.23 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/4 (b) -122 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*q - 4 + 29 = 0, -2*d = -q - 30. Let g be ((-324)\/(-8))\/(-9)*(-102)\/9. What is the greatest common divisor of g and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**3 + 27*v**2 + 1008*v = 0.\nAnswer: -21, 0, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5a419d + 0?\nAnswer: 5a419d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/1 + (-4 - -258). Let y = 747 - p. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 597 + -107. Suppose -6*v = -j - 266. Calculate the highest common divisor of 84 and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(2*c - 3*c + 0*c) - 25 + 13 - c + 9.\nAnswer: c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/6 - (4 + (-40)\/6). Let d be ((-239)\/i)\/((-7)\/14). Let j = -158 + d. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*b - 2180, 3629 = 5*b + 101*k - 100*k. Calculate the remainder when b is divided by 61.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**3 + 194*h**2 + 192*h = 0. Calculate h.\nAnswer: -96, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 23 = -6*c + 3*c, c - 16 = -3*a. Suppose 4*f = a*z + 45, f - 3*z = 4*f. Solve 0 = -f*o + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -63, -42, -21, 0, 21?\n\"Answer: 21*o - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y + 49. Let c be o(11). Let k(z) = 2*z**3 - 4*z**2 + 2. Let h be k(3). Suppose 5 + h = -c*i. Let q(p) = -p**3 - 5*p**2 + p + 4. Give q(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**3\/3 + 5. Let c(w) = -19*w. Calculate s(c(v)).\nAnswer: -361*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184, -183, -180, -175?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 507 - 592.4. Let c = 85.399563 + v. What is c rounded to five dps?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347532.\nAnswer: 2, 3, 28961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 21*y + 10. Determine c(3).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4925387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 67828883 a multiple of 1442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 17*t - 890. Calculate a(0).\nAnswer: -890","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19152 and 336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 664 and 11752200.\nAnswer: 975432600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-133)\/21 - -6)\/(3\/6*-2). What is the second biggest value in 880, f, -2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42807 + -26336. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/3)*u)**(-39)*(u\/(u*u**(2\/5)\/u)*u*u*u)**(-11) assuming u is positive.\nAnswer: u**(-523\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 15*q**2 + 15*q + 8. Let k be s(-14). List the prime factors of (-932)\/(-24) + (-1)\/k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 5196 = -2*h. Let g = h - -34. List the prime factors of g.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -57*l**2 + 11*l + 11. Let r(x) be the second derivative of 29*x**4\/12 - x**3 - 3*x**2 - x + 136. Calculate 6*f(q) + 11*r(q).\nAnswer: -23*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342 = 4475*g - 4418*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 124263 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -0*c + 2752. Let s(r) = -688 + c + r**2. Let w(y) be the second derivative of y**3\/6 - y - 19. Determine s(w(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkfffrfllrp. Give prob of sequence rf.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i - 50*i = -20*i + 6 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.10377 or 14?\nAnswer: -0.10377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3 - 12750*w**2 - 126345744*w - 210428162272 = 0. Calculate w.\nAnswer: -2932, 12239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 14*o**2 - 10*o + 16. Let y be t(-13). Let n be y\/(-9) + (-6)\/2. Let c = -75 + 75. Is c equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1884 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - b + 1. Let m(g) = 4*g**2 + 6*g - 11. Let w(i) = 2*f(i) + m(i). Suppose 4*n - 9 = -5*d, 3*n + 5*d - 3*d - 12 = 0. Is w(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c + 4*c + 2*c)*(-3 - c + 3)*(-64 + 192 - 350) in the form i*c**2 + z*c + l and give i.\nAnswer: 1110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 10*t + 18 = 0. Calculate the remainder when (1 + -1 - 1)*-17 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*b + 105 = -26*c + 31*c - 159*b, 5*c = 2*c + 8*b + 63 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.2 (b) 2\/7 (c) -350 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 13*x**2 - 16*x + 18. Calculate p(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g - g + 7*g + 0*g. Let m(u) = 9*u. What is t(m(f))?\nAnswer: 72*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-232))\/(47\/1363)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, g: 1, l: 5, h: 1}. Give prob of picking 2 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -600e0 + -1?\nAnswer: -600e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9015*l - 7961*l + 69*l - 3*l**2 - 2635*l.\nAnswer: -3*l**2 - 19542*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2933, 2945, 2979, 3047, 3161, 3333, 3575, 3899?\nAnswer: 4317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 4\/19, -5, 3, 10, 0.01?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -13.555, -1\/60, 1\/3, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2252*d - 2965.\nAnswer: -2252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/15)\/((-1)\/3). Suppose 0*m - 4 = -s*m. Suppose 0 = -5*q - 2 + 27. What is the lowest common multiple of q and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 638 - 617. Let p = -21.274 - -0.074. Let s = p + x. Put -5\/4, 3, s in increasing order.\nAnswer: -5\/4, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 4 - (7 - (0 - -57) - 19).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1549, 1647, 1745, 1843, 1941, 2039?\n\"Answer: 98*i + 1451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.2 * -9.9.\nAnswer: -91.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 361.4015l to millilitres.\nAnswer: 361401.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -5, -603, 2\/15, -37?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 10. Let i = -0.0772 + -0.0698. Let l = i - -0.217. What is the closest to p in -0.4, 0.1, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-310)\/(-620))\/((-1)\/14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1573)*2)**2 + -1.\nAnswer: 6291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 + 61. Let y = 7 + -4. Suppose -x*w + 13 = k, y*w - 14 + 0 = -k. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z + 258. Let w(h) = -h**2. What is y(w(c))?\nAnswer: -2*c**2 + 258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {z: 5, s: 11}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4, 5*v = 3*v + 4*h + 6. Let p be v + 11\/(-4) + 4. Suppose -5*r = -3*g + 20, 2*r - g + 4 = 3*r. Which is the closest to r? (a) 0 (b) p (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114510 divided by 10410\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 29874\/(-2902757)*(-1 + -10)\nAnswer: 6\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 46726\nAnswer: 5\/46726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17277416*k*w**2 - k*w + 63*k - 89*w + 42 wrt w?\nAnswer: -34554832*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/35)\/(12\/24*2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 177037\/12 + -14742. Let p = 57\/35 + 2983\/210. Find the common denominator of p and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 12:45 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -9*h - 5. Let u = 30 - 10. Suppose -4*b + h = -p - 4, -5*b - 5*p = u. Which is smaller: b or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 2388*t + 2393*t + 80, -32 = 9*r + 2*t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*y**2 - 59 + 59)*(-2 + 1 + 2)*(-y - y + 0*y).\nAnswer: 58*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 84 (base 16) to base 8\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 45bcc9b + -2?\nAnswer: 45bcc99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 4*v**2 - 3*v. Let t be c(2). Suppose t*n - 4 = -0*n. Does 6 divide -4 + (36\/3 - n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 3. Determine f(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 564284451 a multiple of 3434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/18*(2818 + 2). What is s rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1250203 = 36*x - 284301797. Round x to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 918 and 111062.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 48*t. Let g be i(-1). Let k = -26 - g. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2820315600 to the power of 1\/3, to the nearest integer?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2644323\/361 - -7325. Let c = 2.805 + -3.105. Put p, c, 2\/5 in ascending order.\nAnswer: c, p, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i + 25 + 12*i - 21 + (-3 + 5 + 0)*(-3*i - 2*i + 4*i).\nAnswer: 12*i + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*m**2 - 422*m**2 + 142*m**2 + 36 + 138*m**2 + 67.\nAnswer: 3*m**2 + 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -2 - -6) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 a factor of 1208630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -4*i - 5*j, -30*j + 6*j + 48 = -352*i + 355*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, 810, 82, 0, 1 in ascending order.\nAnswer: 0, 1, 49, 82, 810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6472034 and 3199.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 15*w - 14. Let j(h) = -5*h + 5. Calculate -17*j(a) - 6*n(a).\nAnswer: -5*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -8 + 16, 0 = 3*b - 3*k + 9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 14095.\nAnswer: 98665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -714 and 4.678.\nAnswer: -3340.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/120 and 19\/55032?\nAnswer: 275160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/23? (a) -207 (b) -1\/4 (c) -24 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - c + 2*c - 629 = 0, -c + 1877 = 3*u. Is u a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.02, -4, -0.1, -5.9?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m. Let q(a) = 3*a + 7*a**2 - 3*a - 10*a**2. Calculate k(q(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4242\/560 + ((-14)\/(-5) - 3) + -7. Suppose -3\/2*z + 0 + d*z**2 = 0. Calculate z.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4*4\/80)\/(3\/(-345)). Find the second derivative of -65*p**4 - 4*p + c*p**4 - 84*p**4 + 4*p**4 wrt p.\nAnswer: -1464*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**2 + 1801*i*q**3 - 10078*q**3 wrt i.\nAnswer: 4*i + 1801*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 9*c**3 - 19*c**2 + 22*c + 16. Determine o(2).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 3:49 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -80\/3. Suppose -5*g = -68 - 702. Let d = g + -153. Is d smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(76)*-1*-2)\/(sqrt(180)\/sqrt(5)))**2*-2.\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8836*t - 1717*t + 789*t - 981*t + 7655*t)*(1 - 1 + t).\nAnswer: 14582*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 18*m**3 - 2*m**2 + 6*m + 4. What is the tens digit of w(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**10*q)\/q**(1\/9))**(-36\/7)\/((q\/(((q\/(q\/q**(-1\/3)))\/q)\/q))**(-38))**(3\/25) assuming q is positive.\nAnswer: q**(-204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.985 rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*o + 139*o - 2665 = 0. Calculate the greatest common divisor of o and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 524640436*d**2 + 2*d + 175263325 wrt d?\nAnswer: 1049280872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107627 and 1547.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 6:22 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-1*sqrt(153))\/sqrt(9))**2 + 5).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 4. Give y(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 872721 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: Is 15 a factor of ((-4)\/(-16))\/((-6)\/(-1656))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 88 = 5*y, -5*y - 31 - 43 = a. Let r = a - -54. Which is greater: -2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/2*(0 + 2)*-1. Let i(p) = 2*p - 37. Let r be i(16). Sort -1, y, 1, r in ascending order.\nAnswer: r, -1, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 - 4*u**2 + 114 + 4*u**2.\nAnswer: 2*u**2 + 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 5*v + 1. Let o(h) = h**3 + 8*h**2 + 6*h. Let m be o(-7). Let t(n) = 3*n - m*n + 3*n. Determine a(g) - 4*t(g).\nAnswer: -g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 7:44 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y + 8. Let l(k) be the third derivative of k**5\/4 + 4*k**2 + 114. Determine l(x(r)).\nAnswer: 240*r**2 - 960*r + 960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 652 by -1.\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7584734?\nAnswer: 2, 3792367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -1\/5, -1, 5, -4, 0.\nAnswer: -4, -1, -1\/5, 0, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 12 = 3*y. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-118)\/(-3)*((1056\/(-80))\/22)\/(2\/5)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 435 divide 641554530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4145*d - 368908. Determine t(89).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(6\/13)*y*y*y\/y**(7\/6)*y*(y**(-15))**(1\/2) assuming y is positive.\nAnswer: y**(-161\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 9*f)*(-3 + 4 + 0) - 4*f + 2*f + f + 2*f + 0*f + 0*f + 5*f - 3*f + 0*f + (-3 + 1 + 4)*(4*f + f - 3*f) + 4*f + 3*f - 5*f - 3*f + 2*f + 0*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -g - 417. Let i = g + 6257\/15. What is the nearest to -1 in -1, i, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvddaaddddaadddda. What is prob of sequence vaad?\nAnswer: 11\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 191, -20, 5?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 150634?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 5, 57, 14, -0.32?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*w - 26*w - 955. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 266582 and 73021.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/5040 and -49\/4680?\nAnswer: 65520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 49\/4 of a milligram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 559 - 703 = 9*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6679 - 4548. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1764)*2)\/(-1*sqrt(7)*-2).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -14*z + 8. Let f(y) = 2*y**3 + 7*y**2 - y - 7. Let d be f(z). Solve 0 = d*k - 2*i + 14, 2*k - 5 = -5*i + 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130 - 25 - 7*r - 89 + 5*r**2 - 17.\nAnswer: 5*r**2 - 7*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 904588 is divided by 178.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 66*q**2 - 130*q + 156. Let z be a(64). Solve 0*f + 4*m = -3*f - z, -5*f + 2*m - 12 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 261 (c) 1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n + 6. Let c(b) = -3*b + 6. Let f(t) = -5*c(t) + 4*h(t). Let i be (-58)\/290*(1 - 1). Calculate f(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((sqrt(6336) - 2*sqrt(6336))*1 + sqrt(6336) - sqrt(6336) - sqrt(6336) - sqrt(6336)) + sqrt(6336))*-6)\/((5*sqrt(256)*-2 + sqrt(256))*-3))**2.\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 5*n = -38 - 32, 13*x + n = -34 + 144 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2) - 2\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h = 4*d + 60, -36 = -4*d + 5*h - 66 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 40 + 28)*(2*n**5 + n**5 - n**5).\nAnswer: -82*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a century in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 917*s**2 + s + 913*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 1\/2, -8704 in ascending order.\nAnswer: -8704, -15, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from {p: 1, v: 1, j: 2, t: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4422 or -4413?\nAnswer: -4422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10811195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**3\/6 + 1597*d. Let h(w) = 1. Calculate 6*h(z) - 3*p(z).\nAnswer: -3*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -4a7c?\nAnswer: -4a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/124 at most as big as 13915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 327*k**2*p**3 - 159*k**2*p**2 + 24*k**2 - 1479142*k*p**2 - p**3 + 29*p**2 wrt k.\nAnswer: 654*p**3 - 318*p**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1233)\/95)\/(-1) + (28 - (25 + 16))?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 36 * -14.9\nAnswer: -536.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from ttattktatjatn.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttt. Give prob of picking 2 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 549487.9 litres in millilitres?\nAnswer: 549487900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.991 - 0.009. Let k be 11\/((-143)\/39) + (-19)\/(-7). Which is the closest to r? (a) k (b) 16 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 0. Let o be 7 - n\/(0 - -2). Let s = -1 + o. Solve -2*i = -3*k + 21, s*k + 0*k = -2*i + 9 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-16)\/420*-60?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 328 (base 13) to base 2\nAnswer: 1000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -7. Let b = o - -6. Suppose -b*l + 2 = -l - y, -3*l = -5*y. Solve x - l*w = -4*w + 1, 2*x - 5 = w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 7.5809?\nAnswer: 7.5809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 475, 436, 397, 358?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17d + 609?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k - 6*k - 3*k - 4*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 8 = 3*y - u, -2*y - 1 = -3*u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 37 = -21*r - v, 3*r + 2*v = 136. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22862409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -19*o**3 - 3*o**2 - 5*o + 20. What is the thousands digit of u(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 65 = 5*f - 30, 2*r = -8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 16\/9*u**4 + 14\/9*u**3 - 4\/9*u**2 + 2\/3*u**5 + 0*u.\nAnswer: 2*u**2*(u - 1)**2*(3*u - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (30\/7)\/(1\/42). Suppose -r + i = 2*r. Calculate the greatest common divisor of 40 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 7*b - 8 = 0. Suppose -2*c + 71 = -m, b*m + 31 = c - 0*c. What are the prime factors of c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*o**2*x**2 + 2809*o**2*x - 267*o*x**2 + 2*o wrt x?\nAnswer: 16*o**2 - 534*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117682 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 8. Let q be 9 + (0 - s) + 3. Solve -3*y + 7 = -i, 3*i = -q*y + 3*y - 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -3, 12, -5, -20, 1\/3, 0.97?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 45024*j**2 - 52296*j + 168. Let b(x) = -4093*x**2 + 4754*x - 15. Let q(w) = -56*b(w) - 5*u(w). Find the second derivative of q(v) wrt v.\nAnswer: 8176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-5))\/((-6)\/15). Let x be (-6)\/(-4)*h\/(-9). What is the third biggest value in x, 0.2, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + (sqrt(68)\/sqrt(4))**2 + 1).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-26)\/5)\/((-5)\/(-25)). List the prime factors of -1 - b - (-4 + 1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*j - t, -t = j + 2 - 4. Is 6942 + 5 + j + -4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 413660 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c + 2. Let k be 4\/8 - (-18)\/(-4). Let f = 1 + k. Calculate m(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 112378 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 2*b**2 + 12*b - 11. Let w be h(4). Solve -14 = -3*i - n, -w = -n + 6*n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 15, 4*k + 1 = 7*q - 10*q. Which is the third biggest value? (a) 0.12 (b) k (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 1. Let k be i(6). Let q = -81 + 80.9. Let w = 0.5 + -0.1. What is the nearest to q in k, w, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506903 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**4 - 5*d**2 + 5*d**2)*(-5*d + 5*d + d + (2 - 4 + 4)*(-2 + 2*d + 2) + 5*d + 2*d - 5*d + 0*d - 4*d + 3*d).\nAnswer: -6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-224077)\/(-79086))\/((-3)\/(-18)*-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - -34 - (-9)\/(4 - 7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30*(-124)\/(-14880))\/((-2)\/(-16)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75 + -59. Suppose -76 + j = -5*k. What is the highest common divisor of 36 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 2 = -11*o. Let z(y) = y**2 + y**3 + 4*y**3 + 0*y**3. What is z(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4 - 4 = 4*m, -3*a = -3. Let s be (8\/6)\/(-4*m\/6). What is the third derivative of 36*i**6 + 36*i**s - 11*i**6 - 11*i**6 wrt i?\nAnswer: 1680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 15.73127 years?\nAnswer: 0.1573127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -337 + 345. Let a(y) = -y**2 + y + 1. Let m be a(0). Suppose -m = -l + 2. Solve -l*j - 6 = -k - 0*j, j - r = -3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**7\/2520 - f**5\/20 - 3*f**2. Let i(n) be the third derivative of b(n). Let t(g) = -g. What is i(t(w))?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 3*o - 3, 0 = -2*d + 3*o + 18 - 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 divided by 1463750?\nAnswer: 43\/1463750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/3 + -33 - -2. Let b = 554 + g. Suppose b + 576 = -h. Round h to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9064 (base 12) in base 2?\nAnswer: 11110100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -12*l**2 - 6*l - 10*l**2 - 8 - 15*l**2 + 35*l**2 + 2. Let f be 2*1 + -3 + 2. Let c(p) = 5 - 5 + f + p. What is 6*c(z) + t(z)?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -118420 and 0.4.\nAnswer: -47368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/2961 - 60209\/5922. Let d = 7992 - -3047. Let p = d + -132379\/12. Find the common denominator of p and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21*(-228)\/665 - -10)\/(2\/1).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -6. Suppose 3*u + h - 10 - 10 = 0, 4*u - 5 = 3*h. What is the second derivative of 0*i - o*i - i**u + i wrt i?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/2583 and -41\/15.\nAnswer: 12915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 9*p**2 + 229*p + 679. Calculate s(-22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/68458 and -13\/2032.\nAnswer: 69553328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t - 23 + 23 - 2*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*c**2 + 0)*(3*c + 0*c - 4*c)*(5*c + 9*c**2 + 51*c**2 + 3*c**2).\nAnswer: -126*c**5 - 10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-6))\/11 - (-235)\/(-30)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -187 or -66?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 652222 = 652223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 206 - 122. Let w = a + -84. What is the closest to w in 0.7, -1\/5, -2\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (4 + -1 + 10)) + (0 - -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1714 + -1200. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-12))\/(((-575)\/(-690))\/((-1)\/14))?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35871, 35831, 35785, 35733, 35675?\nAnswer: 35611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -66*r**2 - 464*r - 4. Give g(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 36. Let z = y + 82. What is the greatest common divisor of 15 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 4*h = 2*q + 8, 0 = -2*q + 5*h - 24. Let y be q - 1027994\/4 - 6\/(-12). Round y to the nearest ten thousand.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 1)*((-4 + 2 + 4)*(m - m + 2*m) + m + 3*m - 2*m + (-1 + 3*m + 1)*(1 - 3 + 1)*(-149 + 43 + 61))*(62 - 62 + 76) as b + n*m and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 0*c**2 + 2*c**2 - 2*c**2 + 0*c**2 + 3*c**2 + (1 - 1 - 2)*(3*c - 3*c + 2*c**2) - 15*c**2 + 332 - 332)*(4*c**3 + 17*c**3 + c**3).\nAnswer: -352*c**5 - 66*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/6)\/((-6)\/(-81)). Let b(r) = r**3 - 10*r**2 + 10*r - 7. Let j be b(s). Solve -3*k = j*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.5 (b) -1 (c) 7105 (d) 33 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1433317 divided by 61?\nAnswer: -23497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 26*i**2 - 27*i + 43. Determine k(27).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-124)\/8 + (-1)\/(-2). Let i be t\/(-9) - (80\/(-15) + 5). Solve f = -q, 4*q - 3*q + 12 = i*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 257 + -1283\/5. Which is the second smallest value? (a) n (b) 1 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q + q - 6*q - 3*q as a + v*q and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027802739 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16956042 divided by 8478021\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/125 and 79\/50?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 9.61.\nAnswer: 1.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 2:19 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 11*x**2 + 15*x - 1. Determine f(-9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from gggqgggjggjggqngqnqg.\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 32. Suppose -n - 6 = -3*t + n, 0 = -2*t - 4*n + w. Calculate the lowest common multiple of 20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*x - 170*x - 10 = 2*g, 21*x - 4*g + 5 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -3542.\nAnswer: -1\/1771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5*c = 2, 4*c - 4 = -2*x - 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/150*(4*(-6)\/12)\/((-1)\/5)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 177 = -2*q - 5*i, -i - 165 = 2*q. Let k be 1 + 113 + (q\/9 - -5). What is the greatest common factor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00024811783 to six dps.\nAnswer: 0.000248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*t + 297, -k - 56 = -2*k + 3*t. Suppose k = 5*s - 1. Calculate the remainder when s is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7074 and 533170?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -206856 divided by 2873\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 7*v + 3. Determine p(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012631981 to six decimal places.\nAnswer: 0.012632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 150 = -2*a, -5*z + 3*a = -2*z - 120. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81175329547 + 3\nAnswer: -81175329544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 3)*(-36)\/(-8). Let y = q + 4. Let t = y - 1. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -31081?\nAnswer: 2\/31081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-3))\/((-2)\/12). Let q be 1\/((2\/1)\/y). Suppose z - 36 = h - 6*h, -q*z + 2 = 0. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36670*g + 26 + 708 = 35936*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 1 + 11. Suppose -h*j + 3*j = 0. Let w(o) = -o - 46. Let z be w(-27). Sort -3, j, z.\nAnswer: z, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -173303\/137 - -1265. Which is the closest to -7? (a) 0.1 (b) -0.1 (c) -4 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 561236.8562 to the nearest one hundred.\nAnswer: 561200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1406 = -85*x - 79*x + 12886. What is the highest common factor of x and 890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 20, 55, 90, 125?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 11*s - 4. Let q(g) = 27*g - 10. Let l(p) = -6*q(p) + 15*v(p). Let o(r) = 35*r. Calculate l(o(n)).\nAnswer: 105*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (455\/27950)\/(2303\/3290)?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 0*s - r = -3, 0 = 5*s + 5*r - 20 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/72)\/(((-24)\/16)\/(9\/(-2)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88\/357 + 2\/51. What is the closest to -1 in 2\/9, m, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 924 by 6.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54848 and 18854.\nAnswer: 603328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -2, 93.\nAnswer: -4, -2, 2, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/16)\/((-2)\/8). Suppose -n*s + 108 = s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211212 (base 3) to base 6.\nAnswer: -2505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -836 + 902.8. Let k = w + -59. Let j = 8 - k. Which is the closest to -3\/4? (a) j (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47458885?\nAnswer: 5, 43, 71, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 + 29*y**2 - 4*y - 5. Determine t(16).\nAnswer: -837","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6082 - -10267. What are the prime factors of v?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-239.\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5958 + 6000. Calculate the highest common factor of h and 1778.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 38. What is r(23)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - 0.1. Let m(g) = g**3 + 9*g**2 + 12*g - 17. Let r be m(-7). Let x be (192\/72)\/((-1)\/r*-1). What is the smallest value in j, 0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 18 - (27 - 19)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -6*g**3 - 4*g**2 - 17*g - 74. Let q(j) = -5*j**3 - 3*j**2 - 13*j - 82. Calculate -3*h(p) + 4*q(p).\nAnswer: -2*p**3 - p - 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.62558555 to 3 dps.\nAnswer: -13.626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24977.68 and -18.\nAnswer: 449598.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 9 = 6. Suppose -4*f + 1358593 = -b*f. Suppose f + 1341407 = 5*s. What is s rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-15))\/(3896\/(-36525)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 105*i**2 - i. Let l be y(-1). Let u be (l\/6)\/((-4)\/6). Let s = -269\/10 - u. Which is the third smallest value? (a) s (b) 5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -282536 - -282558. Calculate the lowest common multiple of ((-2)\/(-1))\/(-2) - -65 and a.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2408278 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1377098 and -0.077.\nAnswer: -1377098.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r*r**8\/r)*r*r*r**2\/r)\/(r**1*r)**(3\/2))**(-24\/13))**(-16) assuming r is positive.\nAnswer: r**(-3072\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424 is divided by 62?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 15. Let q be j(-2). Suppose -q*b = -27*b + 392. Solve 0 = 6*p + p + b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113 - t**2 + 1388*t - 1387*t - 32*t**2.\nAnswer: -33*t**2 + t + 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 - 22*d**2 + 36*d + 365. Calculate p(-11).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2504500, 2504501, 2504502, 2504503, 2504504, 2504505?\n\"Answer: t + 2504499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**6\/360 - 7*d**5\/120 + d**4\/12 + 2*d. Let o(w) be the third derivative of t(w). Suppose 25 = -r - 4*r. Give o(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**5\/20 - z**4\/8 + 3*z**2\/2 - 9*z. Let q(k) be the first derivative of l(k). Factor q(a).\nAnswer: 3*a*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.08, -2, 29, -2\/19, -157, 1\/13?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 230549368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -448*-0.1\nAnswer: 44.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-28)\/(-84))\/(3*(-1)\/(-22959))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4795 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91478 is divided by 5380.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46.27 + 46. Let y = 0.03 - d. Sort y, -0.3, 0 in ascending order.\nAnswer: -0.3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 120969?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5873 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -94 - -20. Let m = n + 591\/8. Which is the second smallest value? (a) 0.1 (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 3*b + 1 + 5*b - 9*b.\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907553667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t - 50. Let d be w(24). Suppose -d*u - 16 = -24*u. Solve -3*g + g = u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 2*t - 46, 0 = 3*t + 5*n - 2*n - 24 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175154 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-1))\/(3\/(-1))*((-9600)\/220)\/(-160).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (9*(-3)\/45)\/(15\/(-25))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**2 - 6*k - 4. Let v(t) be the second derivative of t**4\/4 - 5*t**3\/6 - 3*t**2\/2 + 3*t. Let n = 1236 - 1241. Determine n*a(w) + 6*v(w).\nAnswer: -2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8276.\nAnswer: 2, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*c**2 - c**3 + 11*c - 71*c**2 + 36*c**2 - 2 as v*c**2 + o + s*c + i*c**3 and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328132251?\nAnswer: 3, 71, 513509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3160, 12710, 28628, 50914, 79568, 114590, 155980?\nAnswer: 203738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*n + 6*n - 7, -2*n = 5*g - 5. Suppose -n*d + c - 6269 = -9*d, -4*c - 1563 = -d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -4577408910 + -23.31?\nAnswer: -4577408933.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -c459 (base 15) to base 11\nAnswer: -29193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/243200340 and -33\/970.\nAnswer: 243200340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/5, -0.5, 4, -19, 3, 1428, 17?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 11:12 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2710)\/8 + 18\/36. Let r = 339 + h. Let d = 1 + -3. What is the nearest to 0 in 5, d, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 3*y + y)*(4260 - 1816 + 4337 + 1966).\nAnswer: -17494*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*q**3 + 930013*q**2 + 312*q - 17422.\nAnswer: 48*q + 1860026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 47a575 - 8?\nAnswer: 47a568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.38 + -0.48. Let d = 18.2 + 4.8. Is d > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*s + m + 57, 3*m - 13 = -s. What is the smallest common multiple of 12 and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1215) + (sqrt(1215)*-1 - sqrt(1215)))*-3)\/((sqrt(36)*1*-5)\/(sqrt(432) - -1*sqrt(432))).\nAnswer: 1296*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 28820 = -12*o + 5*l, 3*o + l = 17296. List the prime factors of o.\nAnswer: 5, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5\/7 + 286*s**4\/7 - 7734*s**3\/7 - 157894*s**2\/7 - 415192*s\/7 - 265320\/7 = 0. What is s?\nAnswer: -11, -2, -1, 67, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 3 - -3)\/((-3)\/(-2)). Let t(h) be the second derivative of 0 - w*h - 1\/21*h**4 + 2\/7*h**2 + 0*h**3. Factor t(g).\nAnswer: -4*(g - 1)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/12)\/(3\/((-36)\/8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4fb4 - 42?\nAnswer: -4ff6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6209 is divided by 115.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2 - 0. Factor -2*g + g**n - g**2 - 2*g**2.\nAnswer: -2*g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r + 10*r - 29*r + 11*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1509*h**2 - 11*h + 7 wrt h?\nAnswer: -3018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 - 154. Let m = 318 - 454. Let r = m - u. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 652 divide 2384168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*v + y - 11, -5 = v - 3*y. Let t be 9\/v*32\/(-12). Let q(s) = s + 8. Let w be q(t). Let p(r) = -4*r**2 + 2. Give p(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 15*b + 45. Let n(s) = -2*s - 5. Let p(i) = -9*n(i) - x(i). Let l(f) = 86*f. Calculate p(l(u)).\nAnswer: 258*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.7 - -13.6. Let u = -12.1 - -14.1. Let m = 0.17 + 20.83. Which is the second smallest value? (a) f (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 + 1312371*l + 5249436.\nAnswer: 3*(l + 4)*(l + 437453)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1715686391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3760155 by 21.\nAnswer: -179055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 4:41 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1177722966.9999867 + 1177722817. Let s = 150 + d. What is s rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(486) + 3*sqrt(486)).\nAnswer: sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -324.4 * 0.5.\nAnswer: -162.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p - 16. Let c be j(3). Let a be 55\/10*c + 1. Let w = a - -274. What are the prime factors of w?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301 (base 6) to base 8.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 6*6*(((sqrt(19) + -2)*-6 + 2*1*sqrt(19))**2 + 4).\nAnswer: -3456*sqrt(19) + 16270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.9 in -0.5, 0.01, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-2)*(-5)\/2. Suppose 3*k - 4*f = 105, 10*f = -4*k + 5*f + 109. Suppose -446 + k = -i*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100191387*o**3 - 12*o**2 + 29*o**2 - 100191383*o**3.\nAnswer: 4*o**3 + 17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 not equal to 4.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -8\/37, -2, -0.289?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, g: 1, i: 5}. What is prob of sequence ddgg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 + -51. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3558477 is divided by 395379?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/1450 and 73\/8120.\nAnswer: 40600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/13))**(2\/107)\/(o**(1\/5)\/(o**(1\/4)\/o)) assuming o is positive.\nAnswer: o**(-25989\/27820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 24*k**2 - 38*k + 870. Give p(24).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m - 85*m + 2*m + 32*m + 5*m.\nAnswer: -37*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v - 1. Let n(d) = -11*d - 5. Let m(x) = -4*b(x) + n(x). Let r(s) = 3*s + 1. Suppose -6*j - 6 = 0, 0 = -2*p + j + 9 - 18. Calculate p*r(q) - 2*m(q).\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 + 44655*p + 268110.\nAnswer: -5*(p - 8937)*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 49645*n. Let z(o) = -7*o + 208. What is z(r(t))?\nAnswer: -347515*t + 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*p + 88*p - 1232 = 44*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1543 - -140411\/91. Let a = m - -200\/819. Let o be 3\/(-6)*2\/(-6). Put a, -1, o in increasing order.\nAnswer: -1, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**4 + 2*a**4 - 3*a**4 + 0*a**2 + 0*a**2 - 2*a**4 + (-6*a + 2*a + 5*a)*(-3*a**3 - 2*a**3 + 3*a**3))*(a + 3*a + 0*a)*(-1 - 1 + 0).\nAnswer: 24*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-1) + (-21 - -29). What is the third derivative of -48*n**2 - 76*n**s + 42*n**4 - 8*n**2 + n + 2*n**2 wrt n?\nAnswer: -816*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006769212 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**4 - 2*m - 6. Let q(h) = -3*h**4 - 2*h - 5. Let g(r) = 5*f(r) - 6*q(r). What is the second derivative of g(k) wrt k?\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/4)\/((-9)\/(-18)). Is 5 a factor of 5\/(r\/(-5)*1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(75)*-2 - sqrt(75)) - ((sqrt(77)*1*-2)\/sqrt(11))**2.\nAnswer: -28 - sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n. Let d(c) = 14*c**2. Let l(s) = 29*s**2. Let g(y) = -5*d(y) + 3*l(y). Give g(m(p)).\nAnswer: 68*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 1 + -1 - 4) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 + -32. Suppose 0 = 8*t - 557 - 211. Let g = t - s. What is the remainder when g is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*p**2 + 7415 - 7415.\nAnswer: 181*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/8 + (-6)\/8. Let x = 40 + -27. Let w = x - n. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w + 20. Let j be t(9). Let s be 35\/14*(1 - -1). Suppose 3*c = -j*v + 517, -2*v + s*c = -4*v + 519. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 1 - 1. Suppose 4*d - 4*z = -9 - 7, -p*d - z = 2. Is ((-2)\/(-3))\/(d\/(-99)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, i: 7, v: 3, x: 1, j: 4}. Give prob of sequence wjix.\nAnswer: 1\/1560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23532*g - 23520*g + 24 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 3*f - 28. Let d be u(-4). Solve i + 8 = -4*p, 2*p - 6 + d = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5 + (-6*(sqrt(1088) - (3 + sqrt(1088))) + sqrt(1088) - (sqrt(1088) + 1 + sqrt(1088) + -4)))**2 + 4.\nAnswer: -368*sqrt(17) + 1621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i + 3*i + (2*i + 0*i - i)*(1 + 2 - 1) + 3*i + 4 - 4)*(4*i**4 - 5 + 5)*(0 + 0 + 2).\nAnswer: 64*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26706, -106731, -240074, -426735, -666714, -960011, -1306626?\nAnswer: -1706559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 5*k**2 + 145*k + 726. What is v(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 3 - 2*f + 3*f - 2 in the form u + d*f and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -10. Let o be 3\/5 + (-4)\/(r\/2). Let g = 5\/31 + -107\/279. Put g, o, -1\/5, 4 in decreasing order.\nAnswer: 4, -1\/5, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 2*c + 12. Let b(r) = 2*r - 5. Let m be b(c). Suppose 18 + 15 = m*l. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-5)*q*q**(-5\/2))\/(q**0)**(-1\/83))**6 assuming q is positive.\nAnswer: q**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -7746, -29, -4, 5, 22 in descending order.\nAnswer: 22, 5, -4, -29, -7746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 161, 0, 4, -3, -198 in ascending order.\nAnswer: -198, -3, 0, 4, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 552 - 358. Let z = 31 - 86. Let y = k + z. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 310970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -845\/8946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + t = 2*t, 3*t + 15 = 0. Suppose -3*j + 71 = 4*q, -39 = q - 3*q - c*j. Factor 5*x**3 - q*x - 8*x**2 + 13*x**3 - 27*x**5 + 18*x.\nAnswer: -x*(x + 1)*(3*x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2276606419?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 82015 and 544810?\nAnswer: 462795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 24. Suppose 0 = -3*x - 6, x + 10 + 7 = -y. Let n be f(y). Let q = 21 - n. Calculate the common denominator of q and -8\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 260704289 - 260704288.279999838. Let h = g + -0.72. What is h rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 15*t**2 + 5*t - 5. Let m be y(2). Calculate the highest common factor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4758 and 1456.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.0705ms to seconds.\nAnswer: 0.0010705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) 2\/13 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 64842597422456?\nAnswer: -64842597422460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1272709 is divided by 3394?\nAnswer: 3353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1290, -1377, -1450, -1509, -1554, -1585, -1602?\nAnswer: -1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 4. Let n = 35917 + -5602945\/156. Let u = 1\/52 - n. Which is the nearest to d? (a) 2\/9 (b) u (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150 and 1270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/10 and (8\/36)\/((-4)\/(-318))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 333.0908 + -148.00435. Let v = 2.04455 + h. Let k = v - 187. What is k rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 863*q**2 - 796*q - 57. Calculate v(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4268093 = -0*a + a, 2*a = -t + 2134034. Is (-2)\/11 + t\/484 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.7, -1, -12\/13, 2\/13, 0?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*w - 21*w = -362308. What are the prime factors of w?\nAnswer: 2, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4327 - 889. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.74 + 0.26. Which is the biggest value? (a) i (b) -2 (c) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308189520 a multiple of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/((q\/(q*q**(-2)))\/q*q)))**39\/(q**(-2)\/(q*q**5)))**(-36) assuming q is positive.\nAnswer: q**(-3096)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/4*(-348)\/(-9048))\/((-1)\/116).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2415.528 times 0.4?\nAnswer: -966.2112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 9:16 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**4\/12 - u**3 + 11*u. Let a be n(-5). Solve -a*m - 10 = -0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 12:57 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 11:29 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2053 (base 14) to base 12.\nAnswer: -3275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + 1 + -3)**2 - (sqrt(125) - 1*sqrt(125)*4)**2) + (2*sqrt(800))\/(sqrt(70)\/(sqrt(7)*2)).\nAnswer: -996 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, 0.1, -1731, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70*l**3*q**3*w + 2*l**3*q*w - 3*l**2*q**3*w - 2*l**2*q**3 - 21*l**2*q**2*w wrt l?\nAnswer: -420*q**3*w + 12*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2313 = -146*u + 415 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15 - 26593714.61.\nAnswer: -26593714.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/(sqrt(40)\/(sqrt(40)\/sqrt(8))))\/(sqrt(33)\/(sqrt(33)\/(sqrt(6)\/sqrt(2)))))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-10))\/c)\/c*c*c*c**(5\/4)\/c*c)**11*(c**(2\/9)\/(c\/c**2*c))\/((c**4\/c)\/c*c**(2\/5)*c) assuming c is positive.\nAnswer: c**(23683\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 2 + sqrt(76)*-1 + 2 + sqrt(76) + 1 + 3 + 2 + 0)**2*4.\nAnswer: 160*sqrt(19) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/8)*i)**40)**(2\/175) assuming i is positive.\nAnswer: i**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 3*a + a**3)*(-230 - 11 + 10)*(-3*a**2 + a**2 + 4*a**2).\nAnswer: -462*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 4*s = -4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -150*j**5 + 5385*j**4 - 35283*j**3\/8 - 21963*j**2\/2 - 8499*j\/8 - 105\/4 = 0. What is j?\nAnswer: -1, -1\/20, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 14. Let c(u) = -4*u + 21*u**3 + 5*u + i*u**2 + 8 - 20*u**3. Suppose 0 = -4*z - 4 - 20. Give c(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50074335.\nAnswer: 3, 5, 23, 16127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22436 and 56090.\nAnswer: 112180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 59 = 75. Let c(q) = -q**3 - 2*q**2 - 8*q - 5. List the prime factors of c(k).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -8*u + u + 7*u**2 + 4 + 9*u. Let v be m(-4). What is v rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000008965 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-1)\/9*-220735 - -6 - 1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2259 in 11, 1\/8, 0.5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -21560*m**3 + 3*m - 25. Let l(i) = -10779*i**3 + i - 10. Calculate 2*c(k) - 5*l(k).\nAnswer: 10775*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -3*k**2 - 69*k = 0.\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 5*o**2 + 4*o + 14. Let h be z(6). Let t(m) = 3 - 38*m**2 - m - 3 + 40*m**2. Let i be t(1). Solve 0*f = -g + f + i, -g = -h*f - 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 0*m**2 + 2*m**2)*(3*m - 2*m + m) + 8 - 8 + 6*m**3 + (-40*m + 40*m - 58*m**3)*(-2 - 1 + 4).\nAnswer: -48*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -0.1, 207, 7.62 in decreasing order.\nAnswer: 207, 7.62, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5414 - 5400. Suppose 22 - 2 = 5*o. Solve -o*m = 3*m + z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8.1, -1\/10, -1\/3, -1\/5 in ascending order.\nAnswer: -1, -1\/3, -1\/5, -1\/10, 8.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**2\/5 - 201376*o\/5 + 1611264\/5 = 0.\nAnswer: -50352, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285 = 2*h - 279 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -11. Suppose -t + 35 = -11. Suppose -4*v + t = 10. Calculate the highest common factor of v and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19\/63 - 4\/9. What is the closest to 1\/2 in 1, h, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - 3.4. Let w(f) = f**3 + 14*f**2 - 3*f - 3. Let u be w(-6). Let x = -4547\/15 + u. What is the closest to 0.1 in x, -0.2, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-2*w - 3*w + 3*w) + 2*w - 3*w - 3*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 178, -3, 41.\nAnswer: -3, 41, 60, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 278, -8\/5, -48.8 in descending order.\nAnswer: 278, -8\/5, -48.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + 4 + sqrt(11) + 2 - (5*sqrt(44) + (sqrt(11) - (sqrt(55)*1)\/sqrt(5)))*1.\nAnswer: -9*sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3\/5 + 122064*f**2\/5 - 488136*f + 2440480 = 0. What is f?\nAnswer: 10, 61012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(24\/(-20)) + (-3)\/1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -626654\/3 greater than -208886?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-2) + (-12)\/(6\/(-1)). Differentiate -58*d**3 - 71 + 176*d**3 - 60*d**u - 180*d**4 - 58*d**3 with respect to d.\nAnswer: -720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 10*x + 4*z + 23 = 0, -4*x + z + 17 = 0. Let p be 2 + -3*(-2)\/(-3). Sort p, 4, x in descending order.\nAnswer: 4, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86*m**2*w**2 + 86952*m**2*w + 3*m*w**2 + 8*m*w - 4*w**2 - 43325 wrt m?\nAnswer: -172*w**2 + 173904*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51 and 14475?\nAnswer: 246075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/56)\/(9\/15)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -286 times -0.093\nAnswer: 26.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-2) - (-2)\/(-5 + 3). Suppose n = 38*j - 36*j - 146. Suppose 603 - j = 10*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 4:10 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -9*l**5\/20 - 11*l**4\/12 - 43*l. Let t(k) = -6*k**3 - 7*k**2. Give 5*f(a) - 8*t(a).\nAnswer: 3*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 4. Let u(l) = l**3 + 11*l**2 + 11*l + 26. Calculate the smallest common multiple of o and u(-10).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(243)*-2*5)**2 - (sqrt(108) + -1 + sqrt(108) + 2))*3.\nAnswer: -36*sqrt(3) + 72895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49351106?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - 56 = 18*s. Suppose 0 = 13*u + 206 + 834. Let d = -68 - u. Calculate the lowest common multiple of s and d.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/180 + 1\/4. Which is bigger: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**3 - 2. Calculate the remainder when f(2) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -53, 4, -2, -1\/4, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 2)*-265*(12 + 3). Suppose 3*p = -3*f - 35685, -p + 5*f = -0*f + q. Round p to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**2 - 3*h - 3. Let b be w(-2). Let u = 16 + b. Let t = u + -3. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.72, 0.072, -1, 3, 0.18, -0.2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and -1368.\nAnswer: 123.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -12 (c) 0.2 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 + 49 = 7*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-380)\/(-8))\/19?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(275) + 0)*-5)**2.\nAnswer: 247500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 316512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 134150 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 4:01 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, k: 2, s: 8, p: 7}. What is prob of sequence kkp?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-9) - (-685)\/45. Suppose y = 3*u - 3. Let o = u + -4. Solve o*v = 3*v - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1457906*d**3 + 104*d**2 - 37*d + 7?\nAnswer: 8747436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*p = 401*p + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 144 + -130. Let y = 15 + -8. What is the greatest common divisor of a and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366419.62 rounded to the nearest one thousand?\nAnswer: 366000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2232 (base 7) to base 13\nAnswer: -4a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w - 10. Let z be v(-4). Suppose z*q - 95 = 15*q. Let d be -4 + -3 + (4 - q). Solve -d = -5*n + n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 35a74806?\nAnswer: -35a74801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39*(-6)\/126*7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 40 = 6*y. Let a(h) = 20*h - 1. Let j be a(1). Suppose -y = 3*z - j. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9011331, 18022659, 27033987, 36045315, 45056643, 54067971?\n\"Answer: 9011328*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -211 - -206. What is the common denominator of 267\/90 + 3 - (1 - d) and 19\/153?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 - -3 - 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = -490 + 526. Solve -f*c + 28 - 22 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22068.74*-0.115.\nAnswer: -2537.9051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (3 - (38 - 1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/10)\/(36\/(-20)). Suppose -3*s + j - 9 = 4, -5*j = -20. Sort s, o, -1\/3 in ascending order.\nAnswer: s, -1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ef when two letters picked without replacement from fofooeooeteooetfoo.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1881, -2549, -2699, -2337, -1469, -101, 1761?\nAnswer: 4111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 1:03 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -2\/3 (c) -120 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 - 350*f**4 - 3*f**2 + 3*f + 710*f**4 + f**2 + f**2 - 1 - 350*f**4 in the form c*f**4 + m*f**3 + y + x*f**2 + s*f and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -3 (c) -2 (d) 0.3 (e) 4 (f) 251\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 + -0.247\nAnswer: 0.453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.82 + -0.32. Which is the nearest to -5? (a) j (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 20 = 0, 34 = -5*x - 33*f + 32*f for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, n: 2, f: 1}. What is prob of picking 2 r and 1 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*r**2 + 12*r**2 - 80*r**2 to the form d + y*r + i*r**2 and give i.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p + 268. Let v(i) = 9*i**2. Calculate v(m(x)).\nAnswer: 36*x**2 + 9648*x + 646416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -54521201 + 3?\nAnswer: -54521176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**3 + 2*o**2 + 4. Suppose 5*c - b + 28 = 0, 0 = c + 2*b + 31 - 32. Let s(i) = 3*i**3 + i**2 + 3. What is c*s(p) + 4*n(p)?\nAnswer: p**3 + 3*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -176*x**2 + 178*x - 2 = 0. Calculate x.\nAnswer: 1\/88, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2856258 is divided by 122.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.3, 19, 22.07, -2\/11, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 1 - 12*c**2 + 9*c + 7*c**2 + 7*c**2 + 12. Let l(a) = -a - 2. Let x be l(3). Calculate the remainder when 34 is divided by f(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -12*c**3 - 446*c**2 - 38*c + 116. Give a(-37).\nAnswer: -1216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/18 + (-5)\/(-15). Let n(g) be the second derivative of g - q*g**4 + 0*g**2 + 0 - 2\/45*g**5 + 1\/27*g**3. What is t in n(t) = 0?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*v - 12 = 0, -5*g + 5*v + 52 = 2. Let j be -3 - (0\/(-5) + -7). Solve j*y = -3*s - g, 4*s - 2 = -4*y - 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1140 and 13965.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17538670207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, j: 1, f: 7}. What is prob of picking 1 j and 2 f?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 218 - 543. Let m = 1183 + o. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 5. Let l be (-8)\/5*50\/(-30). Let k = -74\/21 + l. Is k greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5227*d**2 - 6*d + 1425 wrt d.\nAnswer: 10454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 - 2*v**2 - 3*v**2. Let y(f) = 2*f. Calculate y(o(r)).\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 542 = 3*l, -5*p - 517 = -3*l - 9*p. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9319496663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u. Let r(h) = 12403654*h. What is p(r(k))?\nAnswer: -12403654*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 9:10 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 1781*b**2 + 4*b - 1610. Let a(i) = 3562*i**2 + 7*i - 3204. Let p(k) = 4*a(k) - 7*v(k). Find the first derivative of p(s) wrt s.\nAnswer: 3562*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -14. Let s be -2 - 10\/a - -1. Let v = -1 - -2. Is s < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 927*m - 43756. Determine i(-45).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*s + 608*s = -500*s + 100*s + 29040 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 642.5415 milligrams in grams?\nAnswer: 0.6425415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -8\/82891?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o + 5*o**2 + o**3 + 3*o + 2*o - 4*o as q*o**3 + m*o + p + h*o**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/8840 and 143\/1128.\nAnswer: 1246440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1583, -3181, -4779, -6377?\n\"Answer: -1598*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (86 - 262 + 2*p - 173)*(152 - 152 - 28*p) to u*p**2 + x + d*p and give u.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 6*f + 13. Let g be f\/((1*3)\/(33\/(-22))). Suppose g*k + k = 15, 150 = i - 4*k. Calculate the greatest common divisor of 54 and i.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**4 - y**4 - y**4 + (3*y**3 - y**3 - y**3)*(-12 + 3*y + 12) + (-y**2 + y - y)*(3*y**2 - 3 + 3).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v + 1 + 65*v + 5*v - 2*v + 3*v + v + 1 - 1 + v + (3*v - 2*v + 0*v)*(-1 - 3 + 2) in the form f + c*v and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5651707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = a - 4, 5*k - 3*a + 26 - 12 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8*t + 108 = 0. What is the remainder when 85 is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 12*y - 6*y + 61 = 5*c - 3*y, 0 = 3*y + 84 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-8 + -3) - 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*i = 175*i + 756. Calculate the remainder when i is divided by 50.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 100 - 85. Suppose -9 - u = -4*q. Factor -3*i**2 - 12*i**4 - 3*i**5 + q*i**3 + 3*i**2 + 15*i**4.\nAnswer: -3*i**3*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 take away 6789?\nAnswer: -6789.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 4)*(2*t**3 + 6*t**3 - 4*t**3) + 2*t**3 - 8*t**3 + t**3 + 49*t**3 - 17*t**3 + 16*t**3 in the form r + i*t**2 + p*t**3 + k*t and give p.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**3\/6 + 7*f**2 - 144*f + 2. Let l(a) = -a - 4. Let t be l(6). Give o(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 281\/24 + -139\/12. Let q = -18 + 91\/5. Put -2, q, v in increasing order.\nAnswer: -2, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(15\/12 - 1). Is (-3902)\/v - 4\/24 - 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/25 of a kilometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**3 + 3*o - 1. Let w be -3 + 4 + (6\/6 - 8). Let f(u) = -7*u**3 + 6*u - 2. What is w*f(p) + 13*z(p)?\nAnswer: 3*p**3 + 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*9\/6 + 105\/(-30). Let u = -0.87 - -0.37. Which is the closest to s? (a) -3 (b) u (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 + -112004390\nAnswer: -112004501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 200 + -140. Calculate the remainder when k is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -25.0421 and 2.91.\nAnswer: -22.1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 12:30 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -2)*1 - (-47)\/47. Solve -6*m - f = -19 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -13, 5, -24, 4 in descending order.\nAnswer: 5, 4, 0, -5, -13, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 28*z - 232. Let o be m(7). Sort 441, 3, o, -1.\nAnswer: -1, 3, o, 441","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6348, 6349, 6354, 6363, 6376?\nAnswer: 6393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-5)\/(-2)*1. Suppose -3 = -0*b - 3*b. Sort b, z, 4 in ascending order.\nAnswer: z, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*p + 73*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 9979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**3 + 2*a**2 - 4*a + 8. Let h(d) = 7*d**3 - 5*d**2 + 8*d - 16. Let z(s) = 5*g(s) + 3*h(s). Let y be z(5). Sort 4, 2, y, 1 in decreasing order.\nAnswer: y, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(1624\/(-15428) + (-1)\/((-342)\/(-154)))\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -36 + 5 + 17 - (58 - 1)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5 = -1. Suppose -1 = -t + n, -s*t + 4*n = 1 - 3. Find the common denominator of (t\/5)\/(16\/85) and 35\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**4\/4 - 112*j. Let w(g) = -32*g**2. Give n(w(r)).\nAnswer: -3072*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 381. What is the tens digit of l(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/325*(-1430)\/(-429)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96 - 94. Suppose 5*v = -q*v + 2*v. Which is the nearest to -2\/5? (a) -2 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -9 + 9 - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + 57. Let k = h + -84. Suppose -58*x = -63*x + 110. What is the remainder when x is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-838)\/300 + 4\/(-6). Let p = r + 7\/2. Suppose -2*b = b + 2*b. Are p and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4399*m = -3*c + 4*c + 4400*m + 6, m + 15 = -4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m - 1 = -14*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 60*p**2 + p. Let h be x(-1). Suppose 3*v + 8 - h = 0. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*d + 4. Let r be 1\/d + (-60)\/(-16). Solve -l + 2*o + 1 = 3, 2*l = -4*o - r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c - 69 = 4*i, i + 1 = -2*c. Let u = i - -17. Suppose 2*w - u*w = -96. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = o + 266, 4*v + o - 16 = 204. Calculate the remainder when 159 is divided by v.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -476.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 9:46 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -803, 6043, 3 in ascending order.\nAnswer: -803, -3, 3, 6043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**6\/10 + 28*m**5\/15 + 73*m**4\/6 + 32*m**3 - 70*m**2 - m - 13. Suppose z(p) = 0. Calculate p.\nAnswer: -16\/3, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**4 - 68*j**3 - 252*j**2 + 612*j + 2592 = 0.\nAnswer: -9, -8, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 791*f**5 + 12*f**4 + 11*f**3 - 1199899*f**2 wrt f?\nAnswer: 47460*f**2 + 288*f + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.14 (b) 2\/23 (c) -42 (d) -4.8 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/33286 and -113\/1020.\nAnswer: 998580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 473.7817km?\nAnswer: 473781.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4935*w - 4 = -d - 4937*w, 0 = 3*d - w - 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 650781 and 20752683.\nAnswer: 186774147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 7:10 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 398396641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/45016 and 1\/180064?\nAnswer: 180064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32879 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2\/3 + 2816*d + 16912\/3.\nAnswer: -4*(d - 2114)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 9) to base 5\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbnbbebbnbmbnbnbb. What is prob of picking 1 e and 1 b?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (-9 - (20 - 23))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -232 + 244. What is the remainder when 105 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-10)*-10 + -175. Let c = -166 - f. Let p(k) = -k**2 + 13*k + 17. Give p(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/(-29))\/(4\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 20775314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnnnnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.3 + 1.3. Let q be -1*(1 + 1) + 2. Suppose q = 3*p - 0 - 9. Which is the smallest value? (a) z (b) 2\/15 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y - 5208 = 44*y - 269*y for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -14085110?\nAnswer: 14085111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 189*d**3 - 92*d**3 - 76*d**3 - 4*d**2 - 2*d - 2.\nAnswer: 21*d**3 - 4*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/9*(-19)\/((-3135)\/90).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 3. Let m be (c\/(-6))\/((-10)\/75). Suppose 23 = w - 3*v - 5, -173 = -m*w + 4*v. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 7*t**2 - 5*t - 3. Suppose 22 = -3*h + 5*y - 14, 5*h + 2*y + 29 = 0. Does 22 divide v(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64740 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: What is prob of sequence se when two letters picked without replacement from seqjsesbeszjsj?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppprppppprrprrpppp. What is prob of sequence rr?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 50440 (base 6) to base 10\nAnswer: 6648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4615*t**2 - 5*t - 6580. Let p(c) = -2308*c**2 + 3*c + 3291. Let b(n) = 3*f(n) + 5*p(n). Differentiate b(h) wrt h.\nAnswer: 4610*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = t, -29 = -4*c - 5*t + 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 - 11*o**2 + 20*o**2 + o - 11*o**2 as i*o**3 + g*o**2 + z*o + l and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 11 = -n - 5, -4*n + 17 = -7*m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 0. Let s be (-2)\/(-6) + 2\/f. Suppose -4*k + 4*p + 40 = s, 0*p - 4*p - 12 = 0. Solve -k = -g - 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 2*b. Let r(a) = -a - 2. Let s be r(-6). Does 8 divide z(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27859855 and 155.\nAnswer: 27859855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19271938 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 39*v - 14*v - 9*v - 4*v - 14*v. Let j(k) = -5*k - 27. What is j(r(b))?\nAnswer: 10*b - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 + 20. Let p be 10\/15 + d\/(-6). Factor 2\/7*o**3 + 2\/7*o**p + 0 - 2\/7*o**2 - 2\/7*o.\nAnswer: 2*o*(o - 1)*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/36, -0.4, 0.2, 2, 1\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -52899080 divided by 4423\nAnswer: -11960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from affaaaaaaafaaafaaaaa. What is prob of picking 3 a?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 49*j - 547. Let z(a) = -13*a + 137. Calculate 4*l(b) + 15*z(b).\nAnswer: b - 133","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - r - 4. Suppose -33 = -4*t - 3*k + 15, 3*k - 12 = -t. Suppose 0 = -0*m + 3*m - t. Calculate h(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 2333 - 1652. List the prime factors of i.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*b - 1, -5*b - 5 = -3*o - 3*b. Which is bigger: o or -2\/139?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11663 and 2011634240?\nAnswer: 11663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2 + 2)*(18 + 2 - 9).\nAnswer: 22*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 1 - 11 = -2*w, -2*d = 0. What is the remainder when 9 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**3\/6 - 2*d. Suppose 0 = 2*l + 4, 4*p = -3*l + 12 + 30. Let n(x) = p*x - 29*x + 16*x. What is k(n(g))?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 11:52 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 261956 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 5*y + 21. Let l be q(-8). Suppose -4*p + l = -5*i, 2*i - 5 = -3*p + 46. Suppose 23 - 98 = -b. Calculate the greatest common factor of b and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6\/5, 0.2, -23 in decreasing order.\nAnswer: 0.2, 0, -6\/5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 7*c**2 - c - 7. Let i be h(-7). Let j(k) = k + 4. Let r be j(i). Suppose -g + 5 = r*g. What is the greatest common factor of g and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*y - 74400 = -30*y + 85*y + 350*y for y.\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5828*g + 4620*g - 2882*g - 12095*g**3 wrt g?\nAnswer: -72570*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.6 - 3. Let c = 158 + -156. What is the closest to 1 in x, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 45 = 3*g. Let r be (-1*-3*1)\/((-9)\/(-9)). Suppose -r*i = -2*t - 2*i - 29, -3*t = 2*i + 47. Do g and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4808391601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-6) - 9)*(-2)\/4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 3*j**2 + j + 4775. Does 21 divide q(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2294 and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -560, -559, -558, -557, -556?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2. Let w(t) = -37*t + 32. What is n(w(u))?\nAnswer: 1369*u**2 - 2368*u + 1024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 + 44. Let g be (-116)\/(-88) - (4\/18 + 40\/(-99)). Suppose -5*s = -0*s + 5. Which is the third smallest value? (a) s (b) g (c) m (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.7, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 + 105. Let s = -65 + z. Let p = s + 32. Which is the nearest to p? (a) 0.4 (b) -4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -5*t - 3*j, 0 = 3*t - 4*j + 1 - 41. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 9430999.26 to the nearest 10000.\nAnswer: 9430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5418893954 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 5) in base 14?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/427 and -1\/959?\nAnswer: 58499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u - 3\/56*u**8 + 0*u**3 + 0*u**2 + 0*u**7 + 0*u**5 - 1\/4*u**4 + 0 + 0*u**6. What is the third derivative of w(l) wrt l?\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2. Let p(d) = -7183768*d**2. What is p(w(c))?\nAnswer: -28735072*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -1\/12*j**4 + 0 - 2\/3*j**3 + 0*j - 2*j**2. Let n = 3 - 6. Give v(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 27. Is (487 - 2) + g + -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**2*k\/(((k\/k**3)\/k)\/k))\/(k**(-9)*k**9) assuming k is positive.\nAnswer: k**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -w**3 - 77*w + 103.\nAnswer: -3*w**2 - 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 2*sqrt(5200) + 4)*-4)**2.\nAnswer: 3840*sqrt(13) + 332944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5942 - 5937. Solve -g = 4*l + 7, -m*l - 25 = -5*g + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2660*s**3 + 119*s**2 + 357*s - 119. Let i(b) = 133*b**3 - 6*b**2 - 18*b + 6. Determine -119*i(w) - 6*l(w).\nAnswer: 133*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 26. Let b(d) = d**2 - 8*d + 4. Let m be b(8). Let n be (5\/3)\/(m\/12). Solve -5*c + 45 = -3*p - u*p, -n*p = -4*c + 40 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1176 divide 7506273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10*1*(-108)\/15. Suppose -v*m = -79*m + 3990. List the prime factors of m.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21*(-18)\/(-1134))\/(2\/(-90))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 133 + -143 - (-31 - 0) - -17.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4314*a**2 + 3993*a - 7983*a + 3990*a + 2070*a**2.\nAnswer: 6384*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 4:51 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than -137?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5854181827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, b: 2, s: 8, t: 7}. What is prob of picking 1 t and 2 b?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*f - 4. Let i(a) = -5 + 2 + 6*a**f - 2. Is i(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81428 divided by 4?\nAnswer: -20357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8399800 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00231917 rounded to 5 decimal places?\nAnswer: -0.00232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 59, 182, 387, 674, 1043?\n\"Answer: 41*h**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-1)*((-297)\/77)\/(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 170643466?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = 8*w - 30. Let x = w + -18. Solve -5*c + 4*q + 1 = 6, 0 = 3*q - x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 20 = 0, 0*a + 4*i + 170 = 2*a. Suppose 3*k - 6*k + a = 0. Calculate the remainder when k is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -40 - 15244?\nAnswer: -15284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2694, 3911, 5128?\nAnswer: 6345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -688 (c) -2\/5 (d) 41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + n)*(3 - 3 - n)*(-89 + 89 + 48*n).\nAnswer: -48*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49558 is divided by 140.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 14*s + 526. Let n be c(17). Let l(b) = 4 + 0*b - b + 0*b. Let a(q) = -1. Determine n*l(t) - 2*a(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -447.14 rounded to the nearest integer?\nAnswer: -447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o + 3*o + 2*o)*(4*o**3 - o**3 - 2*o**3)*(814 - 392 + 2231).\nAnswer: -5306*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*s = 27, -2*r - 26*s = -21*s + 19. Suppose 0 = -r*b - 2*d + 2217, -4*d = -2*b + 5*b - 2223. List the prime factors of b.\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1192818, -2385836, -3578854, -4771872, -5964890, -7157908?\nAnswer: -8350926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 8:33 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128800 = 319*k - 144112 for k.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20495 + -184733\/9. Let j = 1247\/36 + g. Which is greater: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3071 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1049, -1025, -963, -845, -653, -369, 25?\nAnswer: 547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 137 = -6*i + 3*a, -i + 68 = -2*a. Suppose 5*x - 66 = 5*r + 14, -2*r = 4*x - i. Suppose -2 = 5*f - x. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1970)\/(-30) + ((-368)\/(-23))\/(12\/(-8)*4)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/2*(-6)\/(-3). Let g be ((-33)\/14 + l)*-4. Let g*d - 10\/7*d**3 + 4\/7 + 2\/7*d**2 - 6\/7*d**4 = 0. Calculate d.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.4052266 to 2 dps.\nAnswer: -19.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - p + 15 + 5, -5*p = 4*h - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 23*s - 3. Let a be i(1). Let j = -28 - -29. Let k be (226 - 4) + (-1 - j). Calculate the highest common divisor of k and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (8 - (19 - 0)) - -38.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -18.898\nAnswer: 94.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2413)\/42 + (-10)\/(-60). Let h = x - -57. Is h < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/15*255\/(-6). Let b(x) = -x**3 - 3*x**2 + 7*x + 2. Let y be b(-5). Calculate the greatest common factor of y and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-68)\/714 - 1157\/(-21). Suppose 0 = 3*a - 388 + 82. Let s = a - r. Does 21 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 307262636?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o + 2*o + 4*o + (2 + 5 - 6)*(2*o - o + 0*o) + (-3*o - 4*o + o)*(3 - 2 + 1).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-21736)\/(-1936) + 39\/(-3) + 15\/55\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 6. Let a be c(-3). Suppose 1255 = 4*r + 5*o, -o + 0 = 1. Let t be 0 + 9\/(r\/(-10)). What is the smallest value in a, t, -1, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1513*a + 3*q = -1512*a + 6, 0 = 4*a + 9*q + 24 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 755\/(-25) + (-2)\/(-10). Let n be p\/((8 + -2)\/(-3)). Suppose -4*u + n = -1. Solve -2*o - 10 = -u*x, -20 = -5*x - 0*o + o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.009 and 35.\nAnswer: -0.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15335313 (base 6) to base 3\nAnswer: 1000111222100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**3 - 1847890*p**2 - 41*p + 56287442.\nAnswer: -6*p**2 - 3695780*p - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 139*y**5\/5 + 1607*y - 1462. Differentiate o(t) with respect to t.\nAnswer: 556*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*n + 31 = 12*y + 67*n + 4, 8 = 5*y - 2*n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 8137663874.\nAnswer: 8137663873.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -11. Suppose 10 = 2*s - 4*t + 2*t, 2*t = 5*s - 37. What is the remainder when w is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-24))\/(6\/(-32)). Suppose 5*d + 7 + 6 = u*r, -5*r = 5*d - 5. Which is the nearest to r? (a) 4 (b) 3\/8 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + -4)\/(-3)*-3. Sort 2\/11, j, -5, 2\/5 in decreasing order.\nAnswer: j, 2\/5, 2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -17132544 divided by 27456\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(1\/5))*j)\/j)**(-5\/9)*(j\/j**(-2))**(-9) assuming j is positive.\nAnswer: j**(-242\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cahaccaahaahjja. Give prob of sequence jcha.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + -46 - (-4)\/(2\/1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 3*f**2 - 1. Let w(v) be the second derivative of 0 + 0*v**2 + 0*v**3 + 14*v - 1\/6*v**4. What is h(w(l))?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 13*s**3 - 12*s**2 + 9*s - 68. Let d be x(4). Let v be 2 - (-1 + 7*48). Let a = d + v. List the prime factors of a.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1922322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.99 rounded to the nearest integer?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 3. Let p(v) = 1. Suppose 5*i = -r - 20, -4*r + 4*i = -66 + 26. Let l(j) = r*p(j) + n(j). Give l(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32280 divided by 3?\nAnswer: 10760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1636545008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 + 17 + 12 - 76 + 22 - 6*z**3 - 3*z as r*z + w*z**2 + q*z**3 + v and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-seven quarters of a hour?\nAnswer: 24300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(16)\/sqrt(2)))**2 + (sqrt(5) - -3*(sqrt(5) + 3)**2) - (5*sqrt(80)*-5*5)**2.\nAnswer: -1249953 + 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 + 25*r**2 + 26*r + 445. What is y(-14)?\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**4 - 2*h + 2*h - 3*h**4 - h**2 - 4 to f*h + b*h**4 + g*h**3 + y + k*h**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 307084969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*r = 20, r + 0 = 2. Let v = w + -7. Solve -2*s - v = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 13. What is the second derivative of 0*p + p - 3*p + 4*p**q - 5*p wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drpd when four letters picked without replacement from {p: 2, r: 3, d: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84040?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 69*d**2 + 2*d - 19. Is o(29) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 316.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(-3)\/(-8)*(-644)\/(-138)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + j + 11210 = 0, j - 11180 = -5*i - 4*j. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x. Let z = -10 + 14. Let r(d) = z*d + 4*d - 2*d. Give r(y(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*v + 3. Let j be (-9)\/3 + 1*-1. Let y = v - j. Which is bigger: y or -3\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*b**2 + 0)*(b**2 + 1 - 1) - 4 + 2*b**4 + 4 + 1826*b**3 - 3018*b**2 - 2*b**4 - 1826*b**3 to i + o*b**2 + g*b + c*b**3 + m*b**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11\/77)\/((-1)\/(-2)). What is the smallest value in -1, 0.1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011485 rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 8. Let w(i) = i**2 + i + 10. Suppose -5*m + 2*l + 10 = 0, 0*l + 5 = 5*m - l. What is the lowest common multiple of w(m) and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from wwrwrwwrrwwrwwrr?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -1746 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*u - 129*u + 232 + 160 + 254*u.\nAnswer: 2*u + 392","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2. Let z(n) = -2*n**2 + 19047*n + 44. Calculate z(p(b)).\nAnswer: -2*b**4 - 19047*b**2 + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-1274)*-14*(-1)\/(-10)?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**3 - 6*x**2 + x + 6. Let v(t) = -t**3 - t**2 + 1. Suppose 0*f = f - 6. Calculate f*v(m) - o(m).\nAnswer: -m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2019062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*h - 219*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from {s: 1, v: 17}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*q - 72*q + 1625 = -4135 for q.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 830083585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 153301711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 228, 239, 270, 333, 440, 603?\n\"Answer: 2*y**3 - 2*y**2 + 3*y + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 - 10010000110000010011111010?\nAnswer: -10010000110000010100010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000828604355 rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-1 + 3)) + 10 - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*((g*g**(-4))\/g)\/g*g)\/(g**(4\/7)*g*g))**(6\/25) assuming g is positive.\nAnswer: g**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 3*j - 26)*(6 - 10 - 3)*(15 + 16 - 6)*(0 + 0 + 2)*(-2*j**3 + 0*j**2 + 0*j**2).\nAnswer: 2100*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 81 = b. Let p be -5*(b\/(-15) - -1). Calculate the greatest common factor of 110 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4*f**3 + 2*f - 2*f - 6*f**3.\nAnswer: -10*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 255*b**3 + 4*b - 8*b + 3*b**2 - 6*b - 253*b**3 + 4*b**4 - b**4 to a*b**3 + s*b + x + o*b**2 + d*b**4 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -122*(1 - 0)*-1. Let g = 213 - f. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119 and 721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h**2 - 10*h + 9. Let o(k) = -9*k**2 + 19*k - 17. Let p(v) = 6*o(v) + 11*t(v). Let m be p(1). What are the prime factors of (2 - (10 - m))*(-5 - 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuueuuuquqquqqququ. What is prob of sequence ee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 3*h + 33. Let o be z(4). Suppose -6*b + 673 = -3*b - 2*m, o*b = -5*m + 1155. List the prime factors of b.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/2*(-1)\/(-1))\/(1033\/(-1033))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 14\/(-2*4\/(-8))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.18, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 30, 46?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 376475624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0223 - 298.9777. Let f = a + 298.973. Is f greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**5 - 6135*y**4 - 54305*y**3 + 614235*y**2 - 1040990*y + 487200 = 0.\nAnswer: -1218, -16, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-880)\/(-12) + (-2)\/(-3). Let a = b + -52. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300641043.\nAnswer: 3, 4567, 21943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 7*i + 28*i + 31*i - i.\nAnswer: 51*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3492924 and 12.\nAnswer: 3492924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -859901\/3 - -44776787\/156. Suppose 5*w = -5*j + 1965, -5*j - 16 = w - 393. Let d = w - y. Is 0 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3866*a. Let p(j) = -1936*j. Give 5*p(s) - 2*y(s).\nAnswer: -1948*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -5.4. Let f = -2.4 + m. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 97080 or 92?\nAnswer: 97080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2540425?\nAnswer: 5, 307, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 70 (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -28*n**2 + 17*n + 156. What is l(-6)?\nAnswer: -954","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -37, 12, 93, 206, 351, 528, 737?\n\"Answer: 16*o**2 + o - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*k + 28. Let s(m) = 0*m + 2 - 2*m + 10. What is the tens digit of s(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38\/99 + 2\/33. What is the closest to 1 in 8, j, 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + x - x**3 - 1 + 2*x**2 + 2*x**2. Suppose -6 = 2*h - 10. Determine i(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 2*k - 1. Let x = 9 - 7. Give h(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 846622, 846649, 846676?\n\"Answer: 27*c + 846595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -1)*(0 + -1). Let v(f) = -6*f**3 - 3*f**2 - 8*f + 1. Let b be v(-4). Let y = 374 - b. Sort g, y, 1 in descending order.\nAnswer: y, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/6)*d)\/d)\/(d\/d**5))\/((d\/d**(3\/2))\/(d\/d**(-3)))*(d**(-6)\/(d\/(d*d\/(d*d*d\/d**4))))\/(((d*d**(-2\/13)\/d)\/d)\/d**(-2\/7)) assuming d is positive.\nAnswer: d**(1420\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2928530739 to the nearest integer?\nAnswer: 54116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 617 - 2335. Suppose -j = -2*y - 4*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g = -15*g + 5*w - 504792, 252387 = g + 4*w. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*u + 480 = -288. Let a(m) = -2*m**2 + 34*m - 24. Give a(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5344 - -5377.79. Let k = 31.78 - -0.22. Let u = k - b. What is u rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-3) - -2)\/((-2)\/6). Put 3, v, 20 in increasing order.\nAnswer: v, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**6*w - s**4*w - 18888*s**4 + 5*s**2*w + 36*w + 52 wrt s.\nAnswer: 120*s**3*w - 24*s*w - 453312*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a hour in minutes?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqtqqybbqyqmtb. Give prob of sequence bmby.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639655790?\nAnswer: 2, 5, 63965579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114 + -796\/7. Let p = 293\/1001 + -1\/143. Factor -2\/7*s - p*s**2 + 2\/7*s**3 + 0 + k*s**4.\nAnswer: 2*s*(s - 1)*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 35273, 141343, 318213, 565883, 884353, 1273623?\n\"Answer: 35400*j**2 - 130*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 9:20 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3*t - 5 = 0, -14 = -h - 4*t - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2073553 or 2073836?\nAnswer: 2073836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1251 - -1256. Which is the smallest value? (a) y (b) 0.11 (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 878.072l to millilitres.\nAnswer: 878072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 25\/4*z**4 - 15*z**3 + 35\/2*z**2 - 10*z - z**5 - 53. Factor q(k).\nAnswer: -5*(k - 2)*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**3\/3 - f. Let p(j) be the third derivative of -36*j**2 + 0*j + 0*j**3 + 1\/24*j**4 + 0. Calculate p(z(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (195\/(-130))\/((-3)\/10). Let q(o) = o**2 - 5*o + 6. Let v be q(4). Suppose -k - t*y = 0, 5*k - 4*y - 108 = -v*y. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000184291009 to six decimal places.\nAnswer: 0.000184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*1278\/2556?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 12*x**2 + 12*x + 8. Let q(h) = -3*h**2 - 3*h - 2. Let k(g) = -9*q(g) - 2*w(g). Calculate k(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 6*d**2 + 10*d - 12. What is a(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 3*k**2 - k + 3. Let o be t(3). What is the hundreds digit of o + (-4)\/(-12) - 377\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Suppose j + 4*d + 8 = 0, 0 = -j + 3*d + t + 25. Let k = 47 + -17. Calculate the highest common factor of k and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (-2558255)\/57 - (-2)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d4 - 1c5?\nAnswer: 20d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 63750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 78\/(-30)) + (-62)\/(-80)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 20, 3*t = -2*t + 5*n + 3065. Does 21 divide (-152)\/19 - (1 - t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2527358652.\nAnswer: 2, 3, 7, 13, 17, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51082 is divided by 178?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13969*o - 1056 = -13873*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 449*c + 2279. What is the tens digit of p(26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6813\/365 - 1\/1095. Let q be -4146 + 4*(-4 - -5). Let y = -37324\/9 - q. What is the common denominator of y and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 2*q**2 + 2. Let l be m(2). Let n be (-2)\/(-3) + l\/(-6). Let b be (1 - n)\/((-5)\/10). Solve 2*k = b*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 25. Suppose -151 = -2*h + 4*d - p, 0 = -3*h + 2*d + 222. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 11:00 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11366862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 12*c - 17. Let t be j(9). Let r(q) = q**3 - 10*q**2 + 4*q + 14. Let a be r(t). What is the greatest common factor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154890609 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -866*m - 14. Let y(x) = 342062*x + 5532. Calculate -2766*o(p) - 7*y(p).\nAnswer: 922*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.66 + -0.66. Put -0.1, 2\/7, f, -6 in ascending order.\nAnswer: -6, -0.1, 2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -4*f + 3*c, -2*f + 12*c = 11*c + 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 + k + 1. Let q be o(-1). Solve 3*s - q*r = 8, s + 0*r - 6 = -r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h - 1. Let y(k) = -4*k + 7. Let t(w) = 3*w - 5. Let q(l) = 7*t(l) + 5*y(l). What is -4*q(a) - v(a)?\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 10:36 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 + -8.9. Let q = y + 2.7. Let t = q + 3.2. What is the second biggest value in t, 0.4, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 2*j**2 - 8*j - 5. Calculate i(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -34*h**4 - 4*h**2 + 33*h. Let v(m) = m**4 + m**2 - m. Let n(q) = k(q) + 4*v(q). Find the second derivative of n(x) wrt x.\nAnswer: -360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 43933272, 87866596, 131799910, 175733208, 219666484, 263599732, 307532946, 351466120?\n\"Answer: -g**3 + g**2 + 43933328*g - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-3\/5))\/q**(-3))**(2\/37)*q**(-2)\/(q**(3\/7)*q*q)*q**(-3)*q*q**1 assuming q is positive.\nAnswer: q**(-6792\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -149.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 81?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*s**2*t**2 + 11*s**2*t - 2*s**2 - 12282*s*t**2 + 158*s*t - 15*s + 159*t**2 + 20 wrt t?\nAnswer: -6*s**2 - 24564*s + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15 + 0)*(156\/(-60) - -2). Let z(h) = -7 - 15*h - 4*h - 6. List the prime factors of z(a).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, o: 7}. What is prob of picking 1 o and 2 n?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*l = -119*l + 219. Factor 16\/3 - 2\/3*b**l - 8*b + 4*b**2.\nAnswer: -2*(b - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w - 1. Give v(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 5) to base 6\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 0. Let t = -6 + 4. Let h = t + 3. Does h = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-1\/3))\/d)**(-6)\/(d\/(d\/d**3)*d*d*(d**(-3)*d*d)\/d))\/((d*d*d*d\/((d*d**(-8)*d)\/d))\/d**0)**(-10) assuming d is positive.\nAnswer: d**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 138*c + 6 = 139*c, -s - 2 = -3*c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 29\/2 of a minute?\nAnswer: 870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 11*o**2 + 182*o + 763. What is t(-5)?\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -30. Is -9 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -51 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1230056 - -150?\nAnswer: -1226606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*v**2 + 7895*v + 1 - 7895*v in the form m*v + c + t*v**2 and give t.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11 + -8 - (-1 - 0). Suppose -6 = z - x*z. What is the second biggest value in -2\/5, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/15)\/(44\/(-60) - (-4)\/(-20))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 385, 1564, 3527, 6274, 9805, 14120?\n\"Answer: 392*n**2 + 3*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07717959 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: bcb5 (base 15) to base 16\nAnswer: 9c3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 187 + -86. Let w = x - 1. Let k = -99.99906 + w. Round k to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 10 - 1. Let h be 2 + (8\/b - 0). Let q = -41336.1 - -41337. Put q, 3, 0.2, h in decreasing order.\nAnswer: 3, q, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 7030 = -2*k, 0*v = 3*v - 3*k - 5259. What are the prime factors of v?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -26. Let b(d) be the first derivative of -2 - 1\/2*d**w + 2\/3*d - 5\/9*d**3. Suppose b(l) = 0. What is l?\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 4*d**2 - 2*d - 1. Let g be o(3). Let a(j) = -2*j + 2*j - g + 6 - j. Give a(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h + 2*h + 4*h - h**2 + (2*h + 1 - 1)*(0*h + 2*h + 0*h) to k*h**2 + n*h + t and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 9*o - 18. Solve -o*v + 12 - 2 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**3 - 7*y**2 - 6*y - 2. Let v(n) = -n**3 + 1. Let g(f) = -5*v(f) - z(f). Let w be g(-6). What is the common denominator of 8\/5 and 56\/(-30) - 2\/w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6) - (-4)\/(-6)*-1. Let h = 61 - 243\/4. Is h less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-3*(-5 + 4) + -1). Let p(g) be the third derivative of 10*g**2 + 0*g**x + 0*g**3 + 0*g - 1\/20*g**5 + 0. Let l(d) = 7*d. Calculate l(p(f)).\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - -47. What are the prime factors of l?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*(4 + sqrt(26)\/sqrt(2)) + (sqrt(117)*-2 - (sqrt(13) - sqrt(39)\/sqrt(3))*5))**2.\nAnswer: 440*sqrt(13) + 1970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/50)\/((-1916)\/(-4790))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-8))\/(2\/8)*(-1178)\/(-32395).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**3 - 6*d**3 + 2*d**3 + (5 - 3 - 1)*(5*d**3 + d**3 + 4*d**3).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -14 + 0 - 4 - 2*f + 4. Let v be w(-9). Suppose 11 = 3*n + 2, -2*t = -v*n - 62. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 48*t**2 + 200*t - 393. Calculate w(2).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 12*t**2 - 16*t + 37. Let m be u(13). Let v be 2*(1 - 4 - 0). Let x be (-2)\/(-30) + 4\/v. Which is smaller: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60782*r**3 - 10158 with respect to r.\nAnswer: -182346*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1125) + sqrt(1125)*1 + sqrt(1125) + sqrt(1125) - sqrt(1125)) + (sqrt(5445)*-1 + sqrt(5445) - sqrt(45)))\/(1*sqrt(225)*6).\nAnswer: 7*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26892 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 137*v + 155. Give z(-13).\nAnswer: 2105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4030 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/60 and 5\/1686.\nAnswer: 16860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 - 2*g + 1. Let v be q(-3). Let l = -8 - v. Solve 0 = l*j - 0*t + 2*t + 22, -36 = 4*j + 4*t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 11 - 57)*(v**2 - 4 + 4) in the form j + p*v + n*v**2 and give n.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 4:49 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*q - 20472 = 854*q + 584 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}